2 pts Question 5 You decide to take a nice, relaxing ride on a small boat. During your trip, the boat travels 70.7 km north and then travels 50.7 km east. What is the boat's displacement for the trip?

Answers

Answer 1

The boat's displacement for the trip is approximately 87.4 km in the northeast direction.

To find the boat's displacement, we can use the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

The boat travels 70.7 km north.

The boat then travels 50.7 km east.

We can visualize the boat's displacement as a right triangle, where the northward distance is the vertical side and the eastward distance is the horizontal side. The displacement is the hypotenuse of this triangle.

Using the Pythagorean theorem, we can calculate the displacement as follows:

Displacement = √(northward distance^2 + eastward distance^2)

= √((70.7 km)^2 + (50.7 km)^2)

≈ √(5004.49 km^2 + 2570.49 km^2)

≈ √(7574.98 km^2)

≈ 87.4 km

The displacement is approximately 87.4 km.

The boat's displacement for the trip is approximately 87.4 km in the northeast direction.

To know more about Displacement, visit

brainly.com/question/14422259

#SPJ11


Related Questions

Which is not a solar quantity
a. acceleration
b. distance
c. speed
d. time

A twisted or kneading force is also called
a. normal force
b. perpendicular force
c. tension
d. torsion

Which does not belong to the group?
a. electromagnetic force
b. frictional force
c. gravitational force
d. nuclear force

contact force: applied force;______: nuclear force
a. friction
b. noncontact force
c. normal force
d. sun

speed: velocity; _______: ______
a. acceleration: vector
b. distance: displacement
c. speed: acceleration
d. time: scalar

acceleration: velocity; velocity_______
a. displacement
b. distance
c. speed
d. vector​

Answers

Answer:

1. A: acceleration

2. D: torsion

3.  C: gravitational force or possibly B: frictional force

4. B: noncontact force

5. B: distance: displacement

6. C: speed

How do i find how much pressure is applied to an object

Answers

To find how much pressure is applied to an object, you will need to use the formula for pressure, which is: Pressure = Force / Area.

In this formula, "pressure" is the amount of pressure applied to an object, "force" is the amount of force being applied to the object, and "area" is the area over which the force is being applied.

For example, if you have a force of 10 Newtons being applied to an area of 2 square meters, you would use the formula to find the pressure as follows:
Pressure = 10 N / 2 m² = 5 N/m²

So in this case, the pressure being applied to the object is 5 Newtons per square meter.

It is important to note that the units for pressure, force and area must all be consistent in order for the formula to work correctly. For example, if you have a force in Newtons and an area in square meters, your pressure will be in Newtons per square meter. If you have a force in pounds and an area in square inches, your pressure will be in pounds per square inch.

See more about pressure at https://brainly.com/question/24719118.

#SPJ11

Consider the system shown. The rope and pulley have negligible mass, and the pulley is frictionless. The coefficient of kinetic friction between the 8.00kg block and the table-top is mk=0.250. The blocks are released from rest. Use energy methods to calculate the speed of the 6.00kg block after it has descended 1.50m

Answers

The rope and pulley have negligible mass, and the pulley is frictionless.  the speed of the 6.00kg block after descending 1.50m is approximately 2.59 m/s.

To calculate the speed of the 6.00kg block after it has descended 1.50m, we can use energy methods, specifically the conservation of mechanical energy.

Initially, the system is at rest, so it has no kinetic energy. The only form of energy present is potential energy, which is given by the formula PE = mgh, where m is the mass, g is the acceleration due to gravity, and h is the height.

As the 6.00kg block descends 1.50m, it loses potential energy and gains kinetic energy. At the same time, the 8.00kg block moves horizontally due to the tension in the rope. The work done against friction will be equal to the change in mechanical energy.

The work done against friction can be calculated using the formula W_friction = µk * N * d, where µk is the coefficient of kinetic friction, N is the normal force, and d is the distance.

The normal force acting on the 8.00kg block is equal to its weight, which is given by the formula N = m * g.

The work done against friction is converted into heat energy and does not affect the kinetic energy of the system.

Applying the conservation of mechanical energy, we can write:

ΔPE + W_friction = ΔKE

mgh + µk * m * g * d = ½ * m * v^2

Substituting the given values, we have:

(6.00kg * 9.8m/s^2 * 1.50m) + (0.250 * 8.00kg * 9.8m/s^2 * 1.50m) = ½ * 6.00kg * v^2

After evaluating the expression, we find that the speed of the 6.00kg block after descending 1.50m is approximately 2.59 m/s.

Learn more about potential energy here:

https://brainly.com/question/11749818

#SPJ11

11.5 A group of hikers uses a GPS while doing a 40-mile trek in Colorado. A curve fit to the data shows that their altitude can be approximated by the function y(t) = 0.12 - 6.75 135-11202 +3200r where y and t are expressed in feet and hours, respectively. During the 18-hour hike, determine (a) the maximum altitude that the hikers reach, (b) the total feet they ascend, (c) the total feet they descend. Hint: You will need to use a calculator or computer to solve for the roots of a fourth-order polynomial. 9070, 62 + 11.6 The motion of a particle is defined by the relation x 9t 5, where x is expressed in feet and t in seconds. Determine (a) when the velocity is zero, (b) the position, acceleration, and total distance traveled when t 5 s

Answers

(a) To determine the maximum altitude reached by the hikers, we need to find the maximum value of the function y(t). By analyzing the given function, we can see that the maximum altitude occurs at the highest point of the curve.

To find this point, we can take the derivative of y(t) with respect to t and set it equal to zero. Solving this equation will give us the value of t at which the maximum altitude is reached. Substituting this value back into the original function will give us the maximum altitude.

(b) To calculate the total feet ascended by the hikers, we need to find the area under the curve of the function y(t) over the time interval of the hike. This can be done by integrating y(t) with respect to t over the given interval.

(c) Similarly, to calculate the total feet descended by the hikers, we need to find the area under the curve of the function y(t) below the x-axis over the time interval of the hike. This can be achieved by integrating the absolute value of y(t) with respect to t over the given interval.

For the second part of the question:

(a) To determine when the velocity is zero, we need to find the time(s) at which the derivative of the position function x(t) is equal to zero.

(b) The position at t=5s can be found by substituting t=5 into the position function x(t). The acceleration can be found by taking the second derivative of x(t) with respect to t. The total distance traveled can be calculated by finding the definite integral of the absolute value of the velocity function from t=0 to t=5.

To know more about altitude refer here:

https://brainly.com/question/31017444#

#SPJ11

A feather is falling towards the ground at a constant speed. Of the forces listed, identify which act upon the feather.

Answers

Answer:

Gravitational force

Explanation:

Gravitational force is what is making the feather go down. It's pushing the feather down, without the Gravitational force, the feather would have been going up, and not down. Just like us. Gravitational force is what keeps us humans from floating ( unless ur an alien jklol), So yeah Gravitational force is the force that acts upon the feather to fall towards the ground at a constant speed.

Btw, u never listed the forces here just ....

Hope this helped!

A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

When body is falling the net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity  

A feather is falling towards the ground at a constant speed. Forces act upon the feather is gravitational force.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

The earth rotates once in about 24 hours with respect to the sun. The speed of the earth's rotation is 1670 kilometers/hour. The rotation is slowing slightly with time: Thus, a day was shorter in the past. The earth slows down 1/30000 of a minute every 100 years according to Skeptic with Live Science. If a Stegosaurus lived 155 million years ago, how fast was the earth rotation then? Would the speed of the earth affect the movement of dinosaurs or mankind at that time?

Answers

The speed of the Earth's rotation affects the length of a day, which in turn influences various aspects of life, including the distribution of sunlight, temperature patterns, and the overall dynamics of ecosystems.

To calculate the speed of the Earth's rotation 155 million years ago, we need to consider the rate at which the Earth's rotation is slowing down. According to the given information, the Earth slows down 1/30000 of a minute every 100 years.

Let's first calculate the change in the Earth's rotation speed over 155 million years:

Change in rotation speed = (1/30000 minute/100 years) * (155 million years)

Now we can calculate the speed of the Earth's rotation at that time:

Current rotation speed - Change in rotation speed

Given that the current rotation speed is 1670 kilometers/hour, we can substitute the values and calculate:

Rotation speed at that time = 1670 km/hour - (Change in rotation speed)

Once we have determined the rotation speed at that time, we can assess its potential impact on the movement of dinosaurs or mankind.

A change in the rotation speed could have implications for the behavior, adaptation, and survival of living organisms, including dinosaurs and early humans.

However, it is important to note that the exact magnitude and direct consequences of changes in rotation speed on specific species and their movements would require a more detailed analysis and consideration of various ecological factors.

To know more about  influences refer here:

https://brainly.com/question/30364017#

#SPJ11

Which type of charge has the ability to move from one substance to another?

Answers

Both positive and negative charges have the ability to move from one substance to another, and this movement of charges is what creates electrical currents. Here option C is the correct answer.

Electric charges are found in two forms: positive charges and negative charges. Positive charges are associated with protons, which are found in the nucleus of an atom, while negative charges are associated with electrons, which orbit the nucleus. Both positive and negative charges have the ability to move from one substance to another.

When a material has an excess of one type of charge, it can transfer that charge to another material, creating an electrical current. The transfer of charges occurs through the movement of electrons from one atom to another. The movement of electrons in a conductor is what creates electrical currents, which are the basis for many technologies we use today, such as electricity, electronics, and telecommunications.

The transfer of charges occurs through the movement of electrons from one atom to another, and this is what allows us to harness the power of electricity in our daily lives.

To learn more about electrical currents

https://brainly.com/question/12791045

#SPJ4

Complete question:

Which of the following types of charges has the ability to move from one substance to another?

A) Positive charge

B) Negative charge

C) Both positive and negative charges

D) None of the above

What is work and give an example? (science newton's law)

Answers

Answer:

Work is ability if application of energy.

Such as pushing a wheel barrow through a distance ( Newton's third law )

Work is the ability to do something.

Help please like actually someone help me PLEASE

Help please like actually someone help me PLEASE

Answers

The final speed of the motorcycle is: 67 m/sec

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, although velocity is a vector, speed is a scalar quantity.

Given that,

initial speed of the motorcycle, u=25 m/sec

Acceleration of the motorcycle, a = 7 m/sec²

According to the equation of motion,

v = u + at

v = 25 m/sec + (7m/sec²) × (6 sec)

v = 67 m/sec

Thus, final speed of the motorcycle is: 67 m/sec

To know more about speed refer to:

https://brainly.com/question/13943409

#SPJ1

if you were in a space ship and fired a cannonball into frictionless space, the amount of force needed to keep the cannonball going would be equal to;

Answers

If you were in a space ship and fired a cannonball into frictionless space, no additional force is needed to keep it going.

According to Newton's First Law of Motion, an object in motion will continue to move at a constant velocity unless acted upon by an external force. In the case of a cannonball fired into frictionless space, where there are no external forces acting on it, no additional force is needed to keep it going.

Once the cannonball is launched into space, it will continue moving with the same velocity indefinitely, as long as no other forces (such as gravitational forces or collisions with other objects) act upon it. In the absence of such external forces, there is no need for any additional force to maintain the cannonball's motion.

To know more about force here

https://brainly.com/question/29970137

#SPJ4

What is the mass of a ball being rolled at 3.5 m/s2 from a 30 N force?

Answers

Explanation:

yddzddydiiydiryxydiydyfiidydydydyyidydydiyidd

3. A student fills a plastic bottle full of water. He make a hole in the bottle half-way up,
and another hole at the bottom.
(a) Does the water come faster out of the hole in the middle or the hole at the bottom?
Explain your answer.​

Answers

Answer:

It would go out the bottom hole faster.

Explanation:

It goes down the bottom hole faster because the water would get poured out the bottom before they even flipped the water bottle.

Find the force of gravity between a cubic meter of water (1000kg) and the Sun. The Sun's mass is 1.99 x10^30 kg and is 1.50 x10^11 m away.
A) 17.0 N
B) 5.90 N
C) 2.0 N
D) 47.20 N

Answers

Answer:

F = 5.9 N

Explanation:

Given that,

Mass of water, m₁ = 1000 kg

Mass of the Sun, \(m_2=1.99\times 10^{30}\ kg\)

Distance between two bodies, \(r=1.5\times 10^{11}\ m\)

We need to find the force of gravity between water and the Sun. The formula for the gravitational force between two bodies is given by :

\(F=G\dfrac{m_1m_2}{r^2}\\\\F=6.67\times 10^{-11}\times \dfrac{1000\times 1.99\times 10^{30}}{(1.5\times 10^{11})^2}\\\\F=5.89\ N\)

or

F = 5.9 N

Hence, the correct option is (b).

A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.

Answers

One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.

To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.

Calculate the total surface area required:

Total surface area = Design flow rate / Design loading rate

Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)

Total surface area = 18.67 m²

Determine the number of filter boxes required:

Number of filter boxes = Total surface area / Maximum surface area per filter box

Number of filter boxes = 18.67 m² / 50 m²

Number of filter boxes = 0.37 (round up to the nearest whole number)

Number of filter boxes = 1 (since we cannot have a fraction of a filter box)

Therefore, one filter box will be required to meet the design loading rate.

To check the design loading with one filter box out of service, we need to recalculate the loading rate:

Calculate the new design loading rate:

New design loading rate = Design flow rate / (Number of filter boxes - 1)

New design loading rate = 1.2 m³/s / (1 - 1)

New design loading rate = Undefined

Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.

Learn more about plant expansion at

https://brainly.com/question/29353364

#SPJ4

Asubstance is cut into several piece and computered to the density of the original sample the density of each piece will be​

Answers

The same, since density is an intensive (intrinsic) property of a substance.

Which direction does heat flow from?

hot to cold
cold to hot
hot to hot
cold to cold

Answers

Answer:

A.) Hot to cold.

Explanation:

I took the quiz on Edge, 2022.

(See the attachment below.)

Hope this helped! <3

Which direction does heat flow from?hot to coldcold to hothot to hotcold to cold

Based on scientific information, the direction that heat generally flow from is: A. hot to cold.

What is heat?

Heat is also known as thermal energy and it refers to a form of energy that is only transferred from an object to another due to a difference in temperature.

During the process of heat conduction, heat would only be transferred between objects that are having different levels of temperature and objects that are directly in contact with one another.

In conclusion, heat is generally transferred from a hot object to a cold object as a result of their varying temperature.

Read more on heat here: brainly.com/question/12072129

Help asaaap it's about doppler effect

Help asaaap it's about doppler effect

Answers

The frequency that the bad guy hear is 12000 hz when the police car is moving with speed of 80m/s.

Frequencyfo=fs(vvov), where fo is the observed frequency, fs is the source frequency, v is the speed of sound, vo is the observer's speed, the top sign indicates the observer is approaching the source, and the bottom sign indicates the observer is leaving the source.Equation fo=800(80-65) fo = 12000 after substituting the variablesThe apparent change in frequency of a wave as a result of an observer moving with respect to the wave source is known as the Doppler effect or Doppler shift. It bears the name of the Austrian physicist Christian Doppler, who first described the phenomenon in 1842.

For more information on doppler effect kindly visit to

https://brainly.com/question/15318474

#SPJ1

I already did the first slide but its there to just give you an idea

I already did the first slide but its there to just give you an idea

Answers

Answer:ok

Explanation:ok

Today's nanotechnology-produced computer transistors are roughly equivalent in size to
A) the width of a fingernail.
B) a human hair.
C) a virus.
D) an atom.

Answers

B) A human hair. Today's nanotechnology-produced computer transistors are roughly equivalent in size to a human hair.

Transistors are electronic devices that are used to amplify or switch electronic signals and electrical power. They are fundamental building blocks of modern electronic devices and integrated circuits. Transistors are typically made from semiconductor materials, such as silicon, and they consist of three layers: the emitter, base, and collector. The size of transistors has been continuously shrinking over the years due to advancements in nanotechnology, allowing for more transistors to be packed onto a single chip, resulting in increased computational power and miniaturization of electronic devices. Today, transistors can be manufactured at the nanoscale, with dimensions on the order of tens of nanometers or even smaller.

To know more about dimensions visit :

https://brainly.com/question/31106945

#SPJ11

The two waves shown here are the same distance from point X and are traveling toward each other.

An illustration with a crest 2.0 centimeters high traveling to the right and a second 2.0 centimeters trough traveling toward the left toward point X in the material.
What is the amplitude of the resulting wave when the two waves meet at point X?

0.0 cm
1.0 cm
2.0 cm
4.0 cm

Answers

Answer:

(C) on edge.

Explanation:

Answer:

2.0

Explanation:

trust the process.

a weather emergency siren is mounted on a tower, 105 m above the ground. on one hand, it would be a good idea to make the siren very loud so that it will warn as many people as possible. on the other hand, safety regulations prohibit the siren from exceeding an intensity level of 116 db for workers standing on the ground directly below the siren. assuming that the sound is uniformly emitted, what is the maximum power that the siren can put out? maximium power output: 4387.95 tools x10y w how far away from the base of the tower can a person be and still be able to hear the siren? neglect any absorption of sound energy by the air; although, in reality, such absorption would be significant at long distances. maximum audible distance:

Answers

The maximum power that the siren can put out is of 4.74 dB.

Given that,

The height of the tower above the ground is, h = 105 m

Sound intensity from the siren is, I = 116 dB

We know that, the maximum intensity of sound allowed is 11.6 B.

Then the intensity of sound in terms of W/m² can be found as follows,

log(I / I₀) = 11.6

I / I₀ = 10¹¹°⁶

I = 10¹¹°⁶ * I₀

⇒ 10¹¹°⁶ * 10⁻¹²

⇒ 10⁻⁰°⁴

At 105 m above the ground the intensity will be 105² times.

Then the intensity at source point = 10⁻⁰°⁴ * 105²

⇒ 0.398 * 105² = 4387.95 W/m²

The energy of sound from the source is given as,

4π* intensity= 4* 3.14* 4387.95 = 55112.65 W/m²

To convert into decibels:

log(55112.65/ 10⁻¹²) = log(55112.65+12) = 4.74 dB

Thus, we can conclude that the maximum power that the siren can put out is of 4.74 dB.

To know more about intensity of sound:

https://brainly.com/question/2485434

#SPJ4

4. how many kwh of energy could be generated by a coal burning power plant that burned 250 tons of coal and was 40% efficient?

Answers

A coal-burning power station that burned 250 tonnes of coal and also was 40% efficient could produce 7.3E5 kWh of energy. 0.89 kWh/pound for coal. 0.14 kWh/cubic foot for natural gas.

How is one kWh produced?

A power over 1 kW in use for 1 hour is equal to 1 kWh, as are powers of 05 kW used for two h, 2 kW used for 05 hours, etc. 1 k W h is equal to 1 kilowatt multiplied by 1 hour, 1000 watts, 3600 seconds, or 3,600,000 watt-seconds, or joules.

1 kilogramme of coal equals how many kWh?

The calorific value for hard coal, which varies depending on the type, is somewhere between 29.3 MJ/kg (fuel coal) and 33.5 MJ/kg. One kilogramme of coal is equal to 7,000 kilocalories (7,000 kwh 29.3 MJ 8.141 kWh) (anthracite).

To know more about natural gas visit:

https://brainly.com/question/230927

#SPJ1

The coal-burning power plant could generate 667 kWh of energy.

What is Energy?

Energy is the ability to do work, and it comes in many different forms. It can be in the form of mechanical energy, thermal energy, electrical energy, electromagnetic radiation, or nuclear energy, among others. Energy can be converted from one form to another, but it cannot be created or destroyed, only transferred or transformed.

To calculate the energy generated by the coal-burning power plant, we need to use the following formula:

Energy Generated = Efficiency x Energy Content x Amount of Coal Burned

Efficiency is given as 40%, which can be converted to a decimal by dividing by 100:

Efficiency = 40% = 0.40

The energy content of coal varies depending on the type of coal, but a reasonable estimate is around 24 megajoules per kilogram (MJ/kg). To convert this to kilowatt-hours (kWh), we need to divide by 3.6 million (the number of joules in a kWh):

Energy Content = 24 MJ/kg / 3.6 million = 0.00667 kWh/kg

The amount of coal burned is given as 250 tons, which can be converted to kilograms by multiplying by 1000:

Amount of Coal Burned = 250 tons x 1000 kg/ton = 250,000 kg

Now we can substitute these values into the formula:

Energy Generated = 0.40 x 0.00667 kWh/kg x 250,000 kg

Energy Generated = 667 kWh

Learn more about Energy from the given link

https://brainly.com/question/13881533

#SPJ1

Why does a siren on an ambulance sound louder as it approaches you?

Answers

Answer:

As the ambulance approaches you, the distance between the source of the waves and the observer decreases. Consequently, the siren sounds more shrill as the pitch of the wailing siren 'sounds' higher than its original value, as sound waves reach you 'more frequently'.

Explanation:

hope it helps :)

Answer:As the ambulance approaches you, the distance between the source of the waves and the observer decreases. Consequently, the siren sounds more shrill as the pitch of the wailing siren ‘sounds’ higher than its original value, as sound waves reach you ‘more frequently’

Explanation:


1. A 5 kg block is pulled across a table by a horizontal force of 40 N with a frictional force of 8 N
opposing the motion. Calculate the acceleration of the object.

Answers

The acceleration of the block is 6.4 m/s².

To calculate the acceleration of the block, we need to consider the forces acting on it.

The applied force is 40 N, and since it is the only horizontal force in the direction of motion, it is the net force acting on the block.

The frictional force opposing the motion is 8 N.

The acceleration, we can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration (F = ma).

The net force is the difference between the applied force and the frictional force:

40 N - 8 N = 32 N.

Now, we can plug the values into Newton's second law:

32 N = 5 kg × a.

Solving for the acceleration (a), we get

a = 32 N / 5 kg

a = 6.4 m/s².

Therefore, the acceleration of the block is 6.4 m/s².

For such more questions on

https://brainly.com/question/26408808

#SPJ8

The intensity of a sound is another way to say the _________ of a sound.
frequency
amplitude
wavelength
loudness

Answers

Answer:

Frequency and tfcvvbyfgffhhi

Answer:

I think frequency

Explanation:

difference between speed and velocity​

Answers

Answer:

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector.

Explanation: I hope this help!!! :)..

A marble is thrown horizontally with a speed of 7 m/s. When the marble lands, it hastraveled a horizontal displacement of 30 m. How much time was the marble in the air?

Answers

Answer:

t = 4.28 s

Explanation:

The horizontal speed of a marble = 7 m/s

The horizontal displacement covered by the marble = 30 m

We need to find the time for which the marble is in air. Let the time is t. Using the formula for speed to find it as follows :

\(s=\dfrac{d}{t}\\\\t=\dfrac{d}{s}\\\\t=\dfrac{30\ m}{7\ m/s}\\\\=4.28\ s\)

So, it will in the air for 4.28 s.

an 7.6 kgkg crate is pulled 5.1 mm up a 30∘∘ incline by a rope angled 17 ∘∘ above the incline. the tension in the rope is 120 nn and the crate's coefficient of kinetic friction on the incline is 0.27.How much work is done by (a) tension, by (b) gravity, and by (c) the normal force?2. ) What is the increase in thermal energy of the crate and incline?

Answers

(a) The work done by tension is 0 J.

(b) The work done by gravity is -30.7 J.

(c) The work done by the normal force is 0 J.

(d) The increase in thermal energy of the crate and incline is 30.7 J.

(a) The tension in the rope is perpendicular to the displacement of the crate, so the work done by tension is zero. This is because work is defined as the dot product of force and displacement, and when the angle between the force and displacement vectors is 90 degrees, the work done is zero.

(b) The work done by gravity can be calculated by considering the component of the weight of the crate that acts along the incline. The gravitational force can be split into two components: one parallel to the incline (mg * sin θ) and one perpendicular to the incline (mg * cos θ). The work done by the component parallel to the incline is given by the formula W = force * distance * cos θ. Substituting the values, we get W = (-mg * sin θ) * distance * cos θ = -30.7 J.

(c) The normal force exerted by the incline is perpendicular to the displacement of the crate, so the work done by the normal force is zero.

(d) The increase in thermal energy of the crate and incline is equal to the negative of the work done by gravity. This is due to the conservation of mechanical energy. The work done by gravity is negative because the force of gravity acts opposite to the displacement of the crate. Therefore, the increase in thermal energy is 30.7 J.

It's important to note that the negative sign in the work done by gravity indicates that work is done against gravity, resulting in a decrease in the mechanical energy of the system. The increase in thermal energy represents the energy dissipated as heat due to friction between the crate and the incline.

For more such questions on work done, click on:

https://brainly.com/question/8119756

#SPJ11

why does sound not transmit in vacuum

Answers

Answer:

because sound needs medium to transmit.

The sound is produced by vibration and if there is no medium there is no vibration and no vibration means no sound.

In the visible light spectrum, the color with the lowest frequency has...Select one:a. the shortest wavelength.b. the longest wavelength.c. a wavelength similar to that of the color with the highest frequency.d. the same wavelength as all other colors in the spectrum

Answers

In the electromagnetic spectrum the greater the frequency the smaller the wavelength, then is the frequency is the lowest in the light spectrum the light will have the longest wavelength. Therefore, the answer is b.

Other Questions
Which statement is true??? How many solutions are in this graph? An atom of 110I has a mass of 109.935060 amu. Calculate its binding energy per MOLE in kJ. Enter your answer in exponential format (1.23E4) with 3 significant figures and no units. Use the masses: mass of 1H atom :) Have the points :) Given the Boolean expression 8 > 5 > 3 && 7 < 10.Assume that this expression is a part of code written in early version of C, when relational and Boolean operators used to return numerical values. Explain each step in the course of evaluation of the given expression and indicate the final result. LIAM AND CARAIn October 2021, Cara started a business as an independent marketing company. Caras brother Liam said he would give her 2,000 if she marketed his business in the local area and to assist her with starting up her business.However, by the summer of 2022, her business had become a huge success and she had a number of other clients. She had also completed the marketing for Liam too.As Caras business had now become a huge success, Liam felt that he should not have to pay the 2,000 to her. Liam said he would not pay anything now, as he was helping his sister to start her business up by offering her 2,000.REQUIREDExplain to Tara the requirement and duties of a company secretary.INTIMIDATIONA contract entered into where there is undue influence or duress is voidable.Discuss what constitutes 'duress' and 'undue influence'.Explain to Tara the types of directors there are for companies and their statutory duties.Discuss the principle of an intention to create a legal relationship in relation to domestic and social agreements. How does this differ to the intention to create relationships in the context of business relationships?Explain whether Cara can succeed in taking action against Liam. Explain why 3 x 4 and 3+3+3+3 equal the same answer. Q3. What are the advantages of using SDLC? Start by describing SDLC you studied in this course m = 3 and the line goes through the point (2,4)in point-slope form, slope-intercept form, and in standard Ramon drives his car 150 miles in 3 hours. Find the unit rate. Animal cells perform functions using energy that is derived from glucose, Which molecule is required for animal cells to obtain the MOST energy possible from a molecule of glucose?A. OxygenB. Carbon DioxideC. Lactic AcidD. Water Driving safely at night requires seeing well not only in low light conditions, but also being able to see low contrast. True or false A steel manufacturer wants to produce a container in the shape of a rectangular solid with volume 84m^3 , the manufacturer wants the length of the container to be one meter longer than the width ,and the height to be one meter greater than twice the width. What should the dimensions of the container be ? you find a population in hardy-weinberg equilibrium (hwe). you determine the frequency of the recessive allele (q) is 0.4. what is the frequency of the dominant allele (p)? A heat integration project results in saving 5 MM Btu/h of heating utility and 14 MM Btu/h of cooling utility. The prices of heating and cooling utilities are $4/MM Btu and $7/MM Btu respectively. The process operates for 8000 h per year. The project requires the installation of three heat exchangers, pumps, and pipeline. The FCI of the project is $4.0 MM. The working capital investment is taken as 15/85 of the FCI. The annual operating cost of the project (for pumping the integrated streams) is $0.5 MM/year. Depreciation is calculated over 10 years with no salvage value. The corporate tax rate for the project is 25% of the annual taxable gross profit. What is the payback period of the project If S is a subspace of R3 containing only the zerovector, what is Sperp?If S is spanned by (1,1,1), what is Sperp?If S is spanned by (2,0,0) and (0,0,3), what isSperp?I'm fairly sure that two vectors are orthogonal if their dotproduct is 0, but I want to make sure I'm doing this correctly. the recipe calls 14 ounces of mixed nuts. to get that amount, kiran uses 4 bags of mixed nuts. the model below represents the situation If you could invent your own popcorn what would it be? 3-5 sentences A nation experiences a sharp rise in immigration. This increases the population rapidly.How would this affect that nation's GDP?O Production would decrease.O Demand for goods and services would increase.O More economic interdependence would be required.O The labor pool would shrink. a coin is flipped eight times where each flip comes up either heads or tails. how many possible outcomes: 1). are there in total? 2). contain exactly three heads? 3). contain at least three heads? 4). contain the same number of heads and tails?