The equation below can be used to find the specific heat capacity of a substance. What is the specific
heat capacity if it takes 1,000J of energy to heat 25g of this substance by 100°C? Give your answer in
J/kg°C.

Answers

Answer 1

The specific heat capacity of substance is 0.4 J/kg°C which is calculated by its formula.

What is specific heat capacity?

Specific heat capacity is defined as the amount of energy required to raise the temperature of one gram of substance by one degree Celsius. It has units of calories or joules per gram per degree Celsius.

It varies with temperature and is different for each state of matter. Water in the liquid form has the highest specific heat capacity among all common substances .Specific heat capacity of a substance is infinite as it undergoes phase transition ,it is highest for gases and can rise if the gas is allowed to expand.

It is given by the formula ,

Q=mcΔT

The specific heat capacity is calculated as, c=1000/25×100=0.4 J/kg°C.

Thus, the specific heat capacity is 0.4 J/kg°C.

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Related Questions

are you more likely to be able to walk at constant velocity

Answers

When you walk, you are more likely to be able to walk at a constant velocity. Your walking speed varies as you walk in real-life scenarios, but you aim to maintain a steady pace or velocity. This is how you can keep track of time and distance traveled.

When you walk at a constant velocity, you move forward with a steady speed and direction. The velocity is defined as the rate at which an object's position changes with respect to time. When you walk, you typically aim to move forward with a constant velocity, which is the speed at which you walk and the direction you walk. In certain situations, a constant velocity is ideal, such as when you are traveling long distances and want to arrive at your destination at a certain time. To ensure that you walk at a constant velocity, you need to maintain a steady pace by keeping your stride consistent and avoiding unnecessary stops or changes in direction. Walking with a constant velocity involves maintaining a steady speed and direction. It is possible to achieve this by maintaining a constant pace, keeping your stride consistent, and avoiding any unnecessary stops or changes in direction.

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Question 7 of 20 A permanent magnet is placed in a coil of wire. If there is no electric current in the wire, which statement must be true? A. The magnet is moving relative to the wire. B. The magnet is not moving relative to the wire. C. The magnet is longer than the coil of wire. D. The magnet is shorter than the coil of wire. ​

Answers

Answer:

the magnet is not moving relative to the wire so B

Explanation:

The magnet is not moving relative to the wire if, A permanent magnet is placed in a coil of wire, If there is no electric current in the wire so, option B is correct.

What is current?

Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it (A). The more electricity flowing across the circuit, the higher the ampere value.

When current flows through a coil of wire, it transforms into an electromagnet. The coil spins as a result of the electromagnet's interaction with a permanent magnet.

An electromagnet is created when current passes through a coil of wire. Because of the electromagnet's interaction with a permanent magnet, the coil spins.

Thus, The magnet is not moving relative to the wire.

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which of statements about the skateboarder's energy is true? as he travels from the top of the ramp to the bottom, ke turns into pe. as he travels from the bottom of the pipe to the top, ke turns into pe. if friction is present, mechanical energy will be conserved. the pe is the greatest at the bottom of the ramp.

Answers

The statements about the skateboarder's energy is true option C which is  if friction is present, mechanical energy will be conserved. the pe is the greatest at the bottom of the ramp.

What is energy?

Energy is the ability to perform a task or do work. Energy can be potential or kinetic energy. Potential energy is the energy posses by a body in a state of rest while kinetic energy is the energy in motion.

As the skateboarder travels  the ramp, potential energy turn to kinetic energy and if  friction is present some of the energy in the system is converted to heat energy.

Therefore, The statements about the skateboarder's energy is true option C which is  if friction is present, mechanical energy will be conserved. the pe is the greatest at the bottom of the ramp.

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The pressure that is created within the blood vessels when the heart beats is called:______

Answers

The pressure that is created within the blood vessels when the heart beats is called systolic pressure.

Systolic pressure refers to the maximum pressure exerted on the walls of the arteries when the heart contracts and pumps blood into the circulation. It is the higher number typically seen in blood pressure measurements, such as 120/80 mmHg.

During each heartbeat, the heart muscle contracts, pushing oxygenated blood from the left ventricle into the aorta, which is the largest artery in the body. This forceful ejection of blood generates a surge of pressure that travels through the arterial system, reaching smaller blood vessels and capillaries.

Systolic pressure is a vital measurement as it reflects the force required to deliver blood to various organs and tissues throughout the body. It is influenced by factors such as the strength of the heart's contraction, the volume of blood being pumped, the elasticity of the arterial walls, and the resistance encountered within the circulatory system. Monitoring and maintaining a healthy systolic pressure range are important for overall cardiovascular health.

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a diffraction grating has 300 lines per mm. if light of frequency 4.76 × 1014 hz is sent through this grating, at what angle does the first order maximum occur? (c = 3.00 × 108 m/s)

Answers

The first-order maximum occurs at an angle of 11.0°

To find the angle at which the first-order maximum occurs, we can use the equation:

sinθ = mλ/d

where θ is the angle of diffraction, m is the order of the maximum (in this case, m = 1 for the first order), λ is the wavelength of light, and d is the distance between adjacent lines on the grating.

First, we need to find the wavelength of light with a frequency of 4.76 × \(10^{14}\) Hz. We can use the equation:

c = λf

where c is the speed of light (3.00 × \(10^{8}\) m/s) and f is the frequency of light. Rearranging this equation, we get:

λ = c/f

Plugging in the values, we get:

λ = 3.00 × \(10^8\) m/s / 4.76 × \(10^{14}\) Hz
λ ≈ 6.30 × \(10^{-7}\) m

Next, we need to find the distance between adjacent lines on the grating. Since the grating has 300 lines per mm, there are 300 x 10^3 lines per meter. Thus, the distance between adjacent lines is:

d = 1 / (300 x \(10^3\)) m
d = 3.33 × \(10^{-6}\) m

Now we can plug in these values to find the angle of diffraction:

sinθ = (1)(6.30 × \(10^{-7}\) m) / (3.33 × \(10^{-6}\) m)
sinθ ≈ 0.189
θ ≈ 11.0°

Therefore, the first-order maximum occurs at an angle of approximately 11.0°.

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This april, karen is planning to take a road trip. she is hoping to visit various cities and towns, and participate in an assortment of activities. she would like to bring the following items with her on the trip, and for safety purposes, she would like to fit them all in the trunk of her car

Answers

Karen wants to fit all her desired items for the road trip in the car trunk.

How does Karen plan to accommodate all her items in the car trunk?

Karen is faced with the challenge of fitting all the items she wants to bring for her road trip into the trunk of her car.

This requires careful planning and organization to maximize the available space. She needs to consider the size and shape of each item, as well as utilize packing techniques such as folding, stacking, and using storage containers efficiently. By strategizing and prioritizing her essentials, Karen can create a compact and secure arrangement of her belongings, ensuring safety during her journey.

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Please
help
me
with this problem​

Pleasehelpmewith this problem

Answers

Answer:

speeding up

Explanation:

because its speeding up, theres going to be more newtons in the back

i really hope this is right, tell me if so

Tom rides his skateboard 2.4km in 20 mins and Max rides his scooter 3.6km in 30 mins. Who is moving at a faster rate (speed)? Choose the correct formula and show your work. (what you are plugging into the calculator) Use proper units in your answer.

Answers

Answer:

The are both moving at the same speed

Explanation:

Given the following :

Tom = 2.4km in 20 minutes

Max = 3.6km in 30 minutes

To calculate the rider moving at a faster spedd, we need to calculate the speed of each rider.

Speed = distance / time

Tom's speed :

Distance = 2.4km = 2.4 × 1000 = 2400meters

Time = 20 minutes = 20 × 60 = 1200 seconds

Speed = (2400 / 1200) = 2 meter per second

Max's speed :

Distance = 3.6km = 3.6 × 1000 = 3600meters

Time = 30 minutes = 30 × 60 = 1800 seconds

Speed = (3600 / 1800) = 2 meter per second

Both Tom and Max are riding at the same speed(rate)

It takes more time to find a value in a hash table data structure than to find a value in a doubly linked list data structure. True or False

Answers

False.In a hash table data structure, the time complexity for finding a value (retrieving an element) is typically O(1) on average, assuming a good hash function and a well-distributed set of keys. This means that the time it takes to find a value is constant, regardless of the size of the data structure.

On the other hand, in a doubly linked list data structure, finding a value requires traversing the list from the beginning or end until the desired value is found. The time complexity for finding a value in a doubly linked list is O(n), where n is the number of elements in the list. This means that the time it takes to find a value in a doubly linked list increases linearly with the size of the list.Therefore, it takes more time to find a value in a doubly linked list data structure compared to a hash table data structure.

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Similarities and differences between
distance Time graph and velocity time
graph?

Answers

Answer:

Similarity: >>Time is independent variable and such is on the x-axis. ... >>Distance time graph tells you how much distance you have travelled, while velocity time graph tells you your acceleration.  The difference between them is that the velocity-time graph reveals the speed of an object (and whether it is slowing down or speeding up), while the position-time graph describes the motion of an object over a period of time.

Explanation:

Radiant energy, capable of traveling through space is called.

Answers

Answer:

Electromagnetic Radiation

Explanation:

A 200-N woman is standing on a concrete floor. How much force does the floor exert on her?

a. Zero
b. 180 N
c. 200 N
d. undetermined

Answers

C.........................

What is meant by net force?

Answers

Net force is the sum of all the forces that act upon anobject

A compressional wave looks most like a:
line of hills and valleys.
a straight line.
coiled spring.
None of the choices are correct.

Answers

Answer:

non of the choice are correct

Explanation:

because waves look like waves only

WILL GIVE BRAINLIST

brief history of coal. the inventors of who discovered coal and when was it first used.

Answers

Answer:

Coal was one of man's earliest sources of heat and light. The Chinese were known to have used it more than 3,000 years ago. The first recorded discovery of coal in this country was by French explorers on the Illinois River in 1679, and the earliest recorded commercial mining occurred near Richmond, Virginia, in 1748

Explanation:

How can the power of an object required to lift a mass up a height be increased ?
A .reduce the height
B .reduce the mass
C .increase the time
D .reduce the time

Answers

decrease the time since power is energy divide by time so decreasing the time will increase the power

What a mechanics error is when writing?.

Answers

Mechanics error is referred to as the parts of speech and how they combine to form sentences.

Writing with great structure and syntactic redress is exceptionally vital for everybody. Understanding the thoughts that the students need to communicate in their essays will be easier when they are conveyed with the right grammar. Mechanical errors are diverse from grammatical errors. Grammar is the structure of written or talked language. It alludes to the parts of speech and how they combine to make sentences. Mechanics allude to the rules of the composed language, such as capitalization, accentuation, and spelling.” Since mechanics are the portion of composing, students moreover utilize mechanics in their exposition composing in arrange to deliver clearer intended messages. In this manner, this present study too centered on mechanical perspectives which contain capitalization, accentuation, and spelling.

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if the earth were flat, then the shadows of two towers at two different places on the earth would ...

Answers

If the Earth were flat, the shadows of two towers at two different places on the Earth would be parallel. This is because when a light source, such as the Sun, shines on two objects, the objects cast shadows in the direction away from the light source.

The angle of the shadows depends on the angle at which the light hits the objects and their orientation relative to each other.

However, the fact that the shadows of towers at different locations on Earth are not parallel is evidence that the Earth is not flat, but is in fact a sphere. This is because the Earth is rotating on its axis, and as it rotates, the position of the Sun in the sky changes. This means that the angle at which the Sun's rays hit the Earth's surface changes, causing the shadows of objects on the Earth's surface to change direction and lengthen or shorten throughout the day.

Additionally, the fact that we can see the Sun rise and set at different times in different parts of the world is further evidence that the Earth is not flat, but is curved. If the Earth were flat, we would expect the Sun to rise and set at the same time everywhere.

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a small container of water is placed on a carousel inside a microwave oven, at a radius of 12.5 cm from the center. the turntable rotates steadily, turning through one revolution each 7.45 s. what angle does the water surface make with the horizontal?

Answers

θ = 0.0090 degree is the angle does the water surface make with the horizontal

At a radius of 12.5 cm from the center, or r = 13.5 cm, a tiny container of water is positioned on a rotating carousel within a microwave oven.

Time for every rotation is 7.15 seconds.

Fc=mrω^2

Fc=mr(2 π/T^2)^2

Fc=m12.5x10^-2(2 π/7.45)^2.....(1)

Gravitational force is caused by:

Fg=mg

Fg=mx9.8........(2)

Letθ is the angle between the water's surface and the horizontal be. Equations (1) and (2) can be used to compute it as follows:

tanθ=Fc/Fg

tanθ=m12.5x10^-2(2 π/7.45)^2/mx9.8

tanθ=0.0090

θ=0.0090 degree

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Answer: The angle between the water's surface and the horizontal is = 0.0090 degrees.

Explanation: The angle between the water's surface and the horizontal is = 0.0090 degrees.

A little container of water is placed on a revolving carousel within a microwave oven at a radius of 12.5 cm from the center, or r = 13.5 cm.

7.15 seconds pass throughout each revolution.

Fc=mrω^2

Fc=mr(2 π/T^2)^2

Fc=m12.5x10^-2(2 π/7.45)^2....(1) (1)

There is a gravitational force because of:

Fg=mg

Fg=mx9.8........(2)

Take as an example the angle formed by the water's surface and the horizontal. It can be calculated using Equations (1) and (2) as follows:

tanθ=Fc/Fg

tan = (m12.5x10-2(2 /7.45)/mx9.8)

tanθ=0.0090

0.09 degrees.

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large hydroelectric dams produce a lot of carbon-free electricity once they are built but they have significant ______ consequences for areas nearby.

Answers

Large hydroelectric dams have significant environmental consequences for areas nearby.

These outcomes may include:flooding of wide regions of land, which may cause both human and animal displacement.Changes in water flow may have an effect on ecosystems downstream.River bank erosion and sediment buildup in reservoirs can contaminate water sources downstream.loss of biodiversity due to habitat fragmentation and fish migration caused by dams.Reservoir methane emissions may have an impact on climate change.

Therefore, Making decisions about the development of hydroelectric dams requires balancing the environmental costs against the advantages of clean, renewable electricity.

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an electron is confined in a harmonic potential well that has a spring constant of 1.30 n/m. what are the first three energy levels of the electron?

Answers

The first three energy level of the electron is E₀= 5.95 × \(10^{-20}\) Joule  E₁ = 1.78 × \(10^{-19}\) Joule E₂ = 2.95  × \(10^{-19}\) Joule respectively.

What is an electron?

The electron is a subatomic particle with an electric charge opposite to one elementary charge. Its sign is either e or β. Due to their lack of known components or substructure, electrons, which are part of the first generation of the lepton particle family, are typically regarded to be elementary particles.

Given: Spring constant (k) = 1.30 n/m,

As we know that the value of the mass of the electron (m) = 9.1 × \(10^{-31}\) kg

Now, The energy level of a particle in harmonic potential is given by

Eₙ = Hω (n + \(\frac{1}{2}\)), where n is the energy level stage and ω is the oscillator frequency,

So for First level energy

E₀ = 1 /2  Hω = 1/2 H \(\sqrt{\frac{k}{m} }\),

E₀ = 1 /2 ×  6.626 × \(10^{-34}\) / 2\(\pi\) ×\(\sqrt{\frac{1.30}{9*10^{-31} } }\)     (H = h/2\(\pi\)), h is planks constant

E₀= 5.95 × \(10^{-20}\) Joule

Similarly ;

E₁ = 3E₀; E₁ = 3 × 5.95 × \(10^{-20}\)

E₁ = 1.78 × \(10^{-19}\) Joule

E₂ = 5E₀; E₂ = 5 × 5.95 × \(10^{-20}\)

E₂ = 2.95  × \(10^{-19}\) Joule

Therefore, the first three energy level of the electron is E₀= 5.95 × \(10^{-20}\) Joule  E₁ = 1.78 × \(10^{-19}\) Joule E₂ = 2.95  × \(10^{-19}\) Joule respectively.

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The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45 degree and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle were greater than 45 degree ? Explain.

Answers

(a)The initial speed of the projectile  28.19 m/s

(b)The total time interval the projectile was in flight 4.068 s

(c)Range reduces and flying time rises as the angle increases.

What is a time interval?

A larger span of time can be broken up into several shorter, equal-length segments. These are referred to as time periods. Consider the scenario if you wished to gauge a car's speed throughout an hour-long trip. You may break up an hour into ten-minute halves.

Briefing:

(a)The equation: gives the projectile's range.

\($d=\frac{u^2 \sin 2 \theta}{g}$\)

where

u is the initial speed

0 is the angle of projection

g = 9.8 m/s2 is the acceleration of gravity

In relation to the projectile in this issue, we are aware of:

d = 81.1 m (range)

θ = 45⁰

Therefore, by changing the equation, we can get the beginning speed:

\($u=\sqrt{\frac{d g}{\sin 2 \theta}}=\sqrt{\frac{(81.1)(9.8)}{\sin (2-45)}}=28.19 \mathrm{~m} / \mathrm{s}$\)

(b)

The projectile's initial vertical velocity is

\($u_y=u \sin \theta$\)

and since we are aware that the vertical velocity zeroes out at the trajectory's highest point, we have

\($v_y=u_y-g t=0$\)

This indicates that the amount of time required to reach the highest point is

\($t=\frac{u_y}{g}$\)

Actually, the flight takes twice as long as this, thus

\($t=\frac{2 u \sin \theta}{g}$\)

And by substituting

u = 28.19 m/s

θ = 45⁰

g = 9.8 m/s²

we find:

\($t=\frac{2(28.19) \sin 45^{\circ}}{9.8}=4.068 \mathrm{~s}$\)

(c)

Range reduces and flying time rises as the angle increases.

In order to respond, let's examine the two formulas:

\($d=\frac{u^2 \sin 2 \theta}{g}$\)

\($t=\frac{2 u s i n \theta}{g}$\)

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A ball of mass of 0.5kg is dropped from a height of 2m.
Assuming that all of the GPE is transferred to KE, what
will be the velocity of the ball when it hits the ground?​

Answers

Answer:

6.3m/s

Explanation:

Given parameters:

Mass of the ball  = 0.5kg

Height  = 2m

Unknown:

Velocity when the ball hits the ground  = ?

Solution:

Since the potential  energy is transformed into kinetic energy;

            P.E  = K.E

              mgh  = \(\frac{1}{2}\) m v²

     cancelling m;

               gh  =  \(\frac{1}{2}\) v²

                v² = 2gh

                v  = √2gh

Insert the parameters and solve;

               v  = √2gh  = √ 2 x 9.8 x 2  = 6.3m/s

How much work w must be done on a particle with a mass of m to a\ccelerate it from rest to a speed of 0.902 c ? express your answer as a multiple of mc2 to three significant figures.

Answers

We can utilize Einstein's mass-energy equivalence equation, E = mc², where E represents the energy. The work done on the particle is equal to the change in energy.

When the particle is at rest, its energy is solely its rest energy, which is given by E = mc². As the particle is accelerated to a speed of 0.902 c, its total energy increases. The change in energy (ΔE) is the difference between the final energy and the initial rest energy.

The final energy of the particle when it reaches a speed of 0.902 c is given by E = γmc², where γ is the Lorentz factor. The Lorentz factor is defined as γ = 1/√(1 - (v/c)²), where v is the velocity of the particle.

By substituting the given values into the Lorentz factor equation, we can calculate the Lorentz factor for the particle. With the Lorentz factor known, we can determine the final energy of the particle.

The work done on the particle is equal to the change in energy, so the work can be calculated as ΔE = (γ - 1)mc². By substituting the values into the equation and expressing the answer as a multiple of mc², we can determine the work required to accelerate the particle to the given speed.

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A roller coaster car travels along the track shown in the diagram above At which position on the track are the kinetic and potnetial energy of the roller coaster car almost equal to each other

A roller coaster car travels along the track shown in the diagram above At which position on the track

Answers

Recall the concepts about kinetic and potential energies.

Kinetic energy = The energy due to the motion of the object

Potential energy = The energy due to the position of the object.

Position 1:

At this position, the kinetic energy is minimum due to the non-motion of the roller coaster but the potential energy is maximum due to the height.

Position 3:

At this position, the potential energy is minimum since the height is almost zero but the kinetic energy is maximum due to the motion.

Position 2:

The kinetic and potential energy of the roller coaster car will be equal to each other at a point that is halfway between positions 1 and 3 that is position 2.

At this point, the roller coaster has enough motion and height such that kinetic and potential energy will be equal to each other.

The kinetic energy is increasing and the potential energy is decreasing but at position 2, they will be equal.

calculate the distance travelled by a car moving with 40 m/s velocity in 2 hours​

Answers

Answer:

14,400m

Explanation:

The formula for calculating speed is S=D/T.

S=speed( in meters per second- m/s)

D=distance(in meters)

T=time( in seconds)

For our case:

S=40m/s

D=?

Time=2 hours=60min x 60 sec=3600seconds

Now make D the subject.

D=S x T

D=4m/s x 3600s=14,400m

Therefore our answer is

14 400 m or 14.4 km

as shown in the figure, a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal string to a 63-kg block that is hanging over the edge of the table. what is the magnitude of the acceleration of the 10-kg block when the other block is gently released?

Answers

Newton's second law allows to find the acceleration of the two-body system, where a mass is hanging is:

The acceleration of the system is: a = 8.46 m / s²

Newton's second law states that the net force on a body is equal to the product of the mass and the acceleration.

         ∑ F = m a

Where the bold letters indicate vectors, F is the force, m the mass and the acceleration of the body.

A free body diagram is that diagram of the system where the forces are shown without the details of the bodies. In the attachment we have a free-body diagram of the system.

Let's write Newton's second law for each axis.

x- axis

        T = m₁ a

y-axis

body in the horizontal part

        N-W₁ = 0

       N = W₁

Body hanging.  

         W₂ - T = m₂ a

Wwhere the positive direction is down, let's write our system of equations.

         

                T = m₁ a  

         W₂-T = m₂ a

Let's Resolve.

          m₂ g = (m₁ + m₂) a

          a = \(\frac{m_2}{m_1+m_2} \ g\)  

Let's calculate.

         a =\(\frac{63}{10+63} \ 9.8\)  

         a = 8.46 m / s²

In conclusion using Newton's second law we can find the acceleration of the two-body system, where a mass is hanging is:

The acceleration of the system is: a = 8.46 m / s²

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as shown in the figure, a 10-kg block on a perfectly smooth horizontal table is connected by a horizontal

the response of an object to the gravity is called ____

Answers

Answer:

gravity interactions

A 2. 0 kg mass starts from rest and slides down an inclined plane 8. 0 x 10-1 m long in 0. 50 s. What net force is acting on the mass along the incline?

Answers

The net force acting on the mass of 2.0 kg along the incline plane is 12.8 N.

What is force?

Force is the product of mass and acceleration.

To calculate the net force acting on the mass along the inclined plane, we use the formula below.

Formula:

F = m(2s/t²)........... Equation 1

Where:

F = Net forces = distancet = Time

From the question,

Given:

m = 2.0 kgs = 0.8 mt = 0.5 s

Substitute these values into equation 1

F = 2×2×0.8/0.5²F = 12.8 N

Hence, the net force of the mass is 12.8 N.

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what spring constant should you specify? express your answer to two significant figures and include the appropriate units. what is the maximum speed of a 360 kg car if the spring is compressed the full amount? express your answer to two significant figures and include the appropriate units.

Answers

a. The spring constant should be specified as 1.7 x \(10^4\) N/m to ensure the safety of the roller coaster.

b. The maximum speed of the car is 16 m/s when the spring is compressed the full amount.

To determine the spring constant needed for the roller coaster, we can use the principle of conservation of energy. At the top of the hill, all of the car's potential energy is converted into the spring's potential energy when it is compressed. As the car moves down the hill, this potential energy is converted into kinetic energy. At the bottom of the hill, all of the car's kinetic energy is converted back into potential energy, but the car is moving at a faster speed because it has lost some energy due to friction.

The minimum spring constant needed for the car to just make it over the top of the hill can be found by setting the potential energy at the top of the hill equal to the maximum potential energy stored in the compressed spring:

mgh = 0.5kx²

where m is the mass of the car, g is the acceleration due to gravity, h is the height of the hill, k is the spring constant, and x is the maximum compression of the spring.

Substituting the given values, we have:

420 kg × 9.81 m/s² × 13 m = 0.5k × (2.3 m)²

Solving for k, we get:

k = 15000 N/m

To satisfy the safety requirement of having a spring constant 13% larger than the minimum needed, we can simply multiply this value by 1.13:

k_safety = 16950 N/m

To find the maximum speed of the car when the spring is compressed the full amount, we can use the conservation of energy again. At the top of the hill, the car has potential energy equal to mgh, which is converted into kinetic energy when the spring is released. Neglecting friction, we can equate the kinetic energy at the bottom of the hill to the potential energy at the top of the hill:

0.5mv² = mgh

where v is the speed of the car at the bottom of the hill.

Substituting the given values, we have:

0.5 × 330 kg × v² = 330 kg × 9.81 m/s² × 13 m

Solving for v, we get:

v = 16 m/s

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What spring constant should you specify? Express your answer to two significant figures and include the appropriate units. ► View Available Hint(s) You have been hired to design a spring-launched roller coaster that will carry two passengers per car. The car goes up a 13-m-high hill, then descends 19 m to the track's lowest point. You've determined that the spring can be compressed a maximum of 2.3 m and that a loaded car will have a maximum mass of 420 kg. For safety reasons, the spring constant should be 13 % larger than the minimum needed for the car to just make it over the top ВА ? X3 ble X-101 x k= Value Units This unit is not recognized. See the list of acceptable units. No credit was lost. Try again. Submit Previous Answers Part B What is the maximum speed of a 330 kg car if the spring is compressed the full amount? Express your answer to two significant figures and include the appropriate units. ► View Available Hintis) HA U= Value Units

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