A heat engine absorbs 347 J of thermal energy and performs 33.5 J of work in each cycle.Find the efficiency of the engine.Find the thermal energy expelled in each cycle.Answer in units of J

Answers

Answer 1

Answer: The thermal energy expelled in each cycle is 33.5 J.

Explanation: The efficiency of a heat engine is defined as the ratio of the work done by the engine to the thermal energy absorbed from the hot reservoir. Mathematically, it can be expressed as:

efficiency = (work done) / (thermal energy absorbed)

In this problem, we are given that the heat engine absorbs 347 J of thermal energy and performs 33.5 J of work in each cycle. Therefore, we can calculate the efficiency as:

efficiency = (33.5 J) / (347 J) ≈ 0.0967 or 9.67%

So the efficiency of the engine is approximately 9.67%.

The thermal energy expelled in each cycle can be calculated using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system. Mathematically, it can be expressed as:

ΔU = Q - W

where ΔU is the change in internal energy, Q is the thermal energy absorbed, and W is the work done by the engine. Since the engine is operating in a cycle, its internal energy does not change over the course of the cycle, so we have:

ΔU = 0

Therefore, we can rearrange the first law equation to solve for the thermal energy expelled:

Q = W

Substituting the values we were given, we get:

Q = 33.5 J

So the thermal energy expelled in each cycle is 33.5 J.

learn more about thermal energy:https://brainly.com/question/19666326

#SPJ11


Related Questions

An airplane needs to reach a forward velocity of 203 km/h to take off. On a 2000m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?

Answers

Answer:

Minimum uniform acceleration in Km/hr² is 20,505.05 km/hr²

Explanation:

In other to determine the acceleration, we can use the formula below

acceleration = velocity/time

Time wasn't given in the question, hence we calculate for time using the parameters given and the formula below

Velocity= distance/time

time = distance/velocity

distance = 2000m ⇔ 2km

time = 2/203

time = 0.0099

Hence, we look for acceleration

which is

acceleration = 203/0.0099

= 20,505.05 km/hr² ⇔ 2.0 × 10⁴

as a wave approaches a shoreline at a non-parallel angle, the wave crest is bent in response to changes in wave speed. this is called .

Answers

As a wave approaches a shoreline at a non-parallel angle, the wave crest is bent in response to changes in wave speed. This is called wave refraction.

Wave refraction is the redirection of a wave, usually by the shore, so that it moves more nearly parallel to the shoreline. Wave refraction is a phenomenon that happens when waves slow down in shallow water.

When a wave moves from deep to shallow water, the shallow part of the wave slows down, making it turn. The wave's crest curves towards the shoreline in wave refraction, while the trough remains straight. When the wave is moving toward the shoreline at an angle, the crest is bent in response to changes in wave speed.

Wave refraction is important because it contributes to the development of currents along the shoreline. The swash is strong when waves are coming straight in, but when they come at an angle, the water has to flow back to the side to keep the level. As a result, a current is created that flows parallel to the shore.

Learn mroe about refraction at https://brainly.com/question/27932095

#SPJ11

Find the gravitational force between Earth (5.97 x 1024 kg) and the Sun (1.99 x 1030 kg) knowing they are 1.48 x 1011 m apart.

Answers

Using the gravitational force of F= G(m1*m2/r^2)

m1= 5.97 x 10^24 kg (Earth)

m2= 1.99 x 10^30 kg (Sun)

r= 1.48 x 10^11 m

G is a known value, it is 6.672 x 10^-11

All units are proper. Therefore plug in the values and you get 3.16 x 10^22 N.

Let me know if I calculated this wrong and it is something else so I can delete this. Thank you. I don't want to make other students put down the wrong answer.

Answer:

\(\boxed {\boxed {\sf F_g \approx 3.62 *10^{22} \ N}}\)

Explanation:

We are asked to find the gravitational force between Earth and the Sun. Use the following formula:

\(F_g= \frac{Gm_1m_2}{r^2}\)

G is the universal gravitational constant. One mass (m₁) is the Earth and the other (m₂) is the Sun. r is the distance between the planets.

G= 6.67 * 10⁻¹¹ N*m²/kg²m₁ = 5.97 * 10²⁴ kg m₂= 1.99 * 10³⁰ kg r= 1.48 *10¹¹ m

Substitute the values into the formula.

\(F_g = \frac{ (6.67*10^{-11} N*m^2/kg^2)(5.97*10^{24} \ kg)(1.99*10^{30} \ kg) }{ (1.48 *10^{11} \ m)^2}}\)

Multiply the numerator. The units of kilograms cancel.

\(F_g = \frac {7.9241601 *10^{44} \ N*m^2}{ (1.48 *10^{11} \ m)^2 }\)

Solve the exponent in the denominator.

\(F_g= \frac {7.9241601 *10^{44} \ N*m^2}{ 2.1904*10^{22} \ m^2}\)

Divide. The units of meters squared cancel.

\(F_g=3.61767718 *10^{22} \ N\)

The original values all have 3 significant figures, so our answer must have the same. For the number we found, that is the hundredth place. The 7 in the thousandth place tells us to round the 1 up to a 2.

\(F_g \approx 3.62 *10^{22} \ N\)

The gravitational force between Earth and the Sun is approximately 3.62 *10²² Newtons.

How much power is theoretically available from a mass flow of 1 000 kg/s of water that falls a vertical distance of 100 m?

Answers

The theoretically available power from a mass flow of 1,000 kg/s of water falling a vertical distance of 100 m is 9,800,000 Watts or 9.8 Megawatts.

The power available from a mass flow of water can be calculated using the formula:

Power = (mass flow rate) * g * h

where:

- Power is the available power

- mass flow rate is the rate at which mass flows (in kg/s)

- g is the acceleration due to gravity (approximately 9.8 m/s^2)

- h is the vertical distance the water falls (in meters)

mass flow rate = 1,000 kg/s

vertical distance = 100 m

Using the formula, we can calculate the power:

Power = (1,000 kg/s) * (9.8 m/s^2) * (100 m)

Power = 9,800,000 Watt

Therefore, the theoretically available power from a mass flow of 1,000 kg/s of water falling a vertical distance of 100 m is 9,800,000 Watts or 9.8 Megawatts.

Learn more about power from the given link

https://brainly.com/question/8434553

#SPJ11

The car was initally traveling at 25 m/s. The car slows with a negative acceleration as shown. How long does it take the car to slow to a final velocity of 2.0 m/s?

Answers

Answer:

t = 2.35s

Explanation:

Using one of the equation of motion expressed as v = u+at where;

v is the final velocity = 2.0m/s

u is the initial velocity = 25m/s

a is the acceleration = -a (since the acceleration is negative)

t is the time taken

Substituting the given parameters into the formula above;

2.0 = 25-9.81t

subtract 25 from both sides

2.0 - 25 = 25-9.81t - 25

-23 = -9.81t

Divide both sides by -9.81

-23/-9.81 = -9.81t/-9.81

t = 23.0/9.81

t = 2.35s

Hence it took the car 2.35s to slow to a final velocity of 2.0 m/s

convert 288cm to Meters

Give explanation + formula

Answers

Answer:

288 cm is 2.88 meters. This is because each centimeter is 1/100th of a meter, or in other words, each meter is 100 cm. To find out cm-m, divide the amount of cm by 100 and change the unit to m.

Explanation:

formula is cm/100=m

288/100= 2.88m

You drive a bumper car into another bumper car whose driver has a much larger body mass than you do. Who experiences more of a jolt, you or the other driver?

Answers

Answer:

both drivers experience the same force. just with different "results"

Explanation:

Answer:

You do

Explanation:

Momentum is mass*velocity. So Newton's 3rd law equal and opposite reaction. Because you weigh less you will have more force act on you than the driver who weighs more.

HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the plane’s ground speed?

HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the planes

Answers

Answer: Flying into the wind provides more lift, but reduces the plane's “ground speed”, the speed of the plane relative to the ground hope this helps

the work function for a certain sample is 2.8 ev. the stopping potential for electrons ejected from the sample by 9.0 x 1014 hz electromagnetic radiation is A. 0 B. 0,60 V C. 2,3 V D. 2,9 V E. 5,2 V

Answers

The stopping potential for electrons ejected from the sample by the given electromagnetic radiation is approximately \(\rm \(14.54 \times 10^{19}\) V\).

To calculate the stopping potential \(\rm (\(V_s\))\) for electrons ejected from the sample by electromagnetic radiation, we can use the following formula:

\(\rm \[V_s = \frac{h \times f}{e} - \phi\]\)

where:

h = Planck's constant \((4.136 \times 10^{-15}\) eV.s)\)

f = Frequency of the electromagnetic radiation (given as \(\rm \(9.0 \times 10^{14}\)\) Hz)

e = Charge of an electron \(\rm (\(1.602 \times 10^{-19}\) C or \(1.602 \times 10^{-19}\) eV)\)

\(\rm \(\phi\)\) = Work function of the sample (given as 2.8 eV)

Plugging the values and calculating the stopping potential \(\rm (\(V_s\))\):

\(\rm \[V_s = \frac{(4.136 \times 10^{-15} \, \text{eV.s}) \times (9.0 \times 10^{14} \, \text{Hz})}{1.602 \times 10^{-19} \, \text{eV}} - 2.8 \, \text{eV}\]\)

\(\[V_s = \frac{37.224 \times 10^{-1} \, \text{eV}}{1.602 \times 10^{-19} \, \text{eV}} - 2.8 \, \text{eV}\]\)

\(\[V_s \approx 2.325 \times 10^{18} \, \text{eV} - 2.8 \, \text{eV}\]\)

\(\[V_s \approx 2.325 \times 10^{18} \, \text{eV} - 2.8 \, \text{eV} \approx 2.325 \times 10^{18} \, \text{eV}\]\)

\(\[V_s = \frac{2.325 \times 10^{18} \, \text{eV}}{1.602 \times 10^{-19} \, \text{C}} \approx 14.54 \times 10^{19} \, \text{V}\]\)

Thus, the stopping potential for electrons ejected from the sample by the given electromagnetic radiation is approximately \(\rm \(14.54 \times 10^{19}\) V\).

Know more about electromagnetic radiation:

https://brainly.com/question/29646884

#SPJ12

Your question is incomplete, but most probably your full question was,

The work function for a certain sample is 2.8 ev. the stopping potential for electrons ejected from the sample by 9.0 x 1014 hz electromagnetic radiation is A. 0 B. 0,60 V C. 2,3 V D. 2,9 V E. 5,2 V F. 14.54 × 10¹⁹

A ramp with a mechanical advantage of eight lifts objects to a height of 1.5 meters. How long it the ramp?
i will give 15points for help!!

Answers

Answer:

12 m

Explanation:

Given data:

M.A. =  8 (No units),

Ramp height (h)= 1.5 m, lifted,

Determine how long is the ramp=?

General formula

Mechanical Advantage = (Ramp length) ÷ (Ramp height),

                            M.A = l  ÷ h

                                 8 × 1.5 = l = 12 m long

length of the ramp l ramp = 12 m

How much work is performed by a student pulling a sled using 175 N of force over a distance of 200 meters?

Answers

Answer:

35000Joules

Explanation:

Work is done whenever force moves a body through a particular distance.

Work done = force × distance

Force = 175 newton

Distance = 200 meters

Work done = 175newton × 200meters

Work done = 35000 Joules or 35Kilo joules

The work done is 35000joules

When earth catches up to a slower-moving outer planet and passes it in its orbit, in the same way that a faster runner overtakes a slower runner in an outside lane, the outer planet.

Answers

When earth catches up to a slower-moving outer planet and passes it in its orbit, in the same way that a faster runner overtakes a slower runner in an outside lane, the outer planet exhibits a retrograde motion

When a planet is far from another planet and observed from it, it rotates at a slower rate, making it appear that it is "retrograding" with regard to the other planet.

Early astronomers were perplexed when they observed motion in the sky because they attempted to explain it in terms of the geocentric idea.

Due to their commitment to the geocentrical paradigm, which stated the Earth was the center of the solar system, early astronomers were perplexed and unable to explain the phenomena.

To learn more about retrograde motion: brainly.com/question/22921263

#SPJ4

Tell how the volume of a material i related to temperature. Ue the term thermal expanion and thermal contraction in your repone

Answers

The volume of a material is related to temperature through thermal expansion and thermal contraction. Different materials will expand and contract at different rates, and the amount of expansion or contraction also depends on the magnitude of the temperature change.

Temperature and volume are related through the phenomenon of thermal expansion and thermal contraction. Thermal expansion occurs when the temperature of a material increases, causing the material to expand or increase in volume. Thermal contraction is the opposite; when the temperature of a material decreases, the material contracts or decreases in volume.

The amount of thermal expansion or contraction that occurs depends on the type of material, as different materials will respond differently to temperature changes. Generally, solids experience more thermal expansion than liquids, and metals experience more thermal expansion than non-metals. This means that when the temperature of a material increases, the volume of a solid material will increase more than the volume of a liquid material; the volume of a metal material will increase more than the volume of a non-metal material.

The amount of thermal expansion or contraction also depends on the magnitude of the temperature change. Generally, the greater the temperature change, the greater the amount of thermal expansion or contraction. For example, if the temperature of a material is increased from 10°C to 20°C, the material may experience a small amount of thermal expansion. However, if the temperature is increased from 10°C to 100°C, the material may experience a large amount of thermal expansion.

Learn more temperature at :https://brainly.com/question/12035620

#SPJ4

What is the magnitude of the electric field strength at a point where an electron
experiences an electrostatic force of 8 x 10^ 17 N? NO LINKS.

1) 5 x 10^36 N/C
2) 0.76 N/C
3) 8 x 10^17 N/C
4) 0.002 N/C

Answers

Answer:

E = F/ q 8x10^17÷ 1.6 x 10^ - 19

Explanation:

5x 10^36N\c A is answer

what two elements are highlighted on group 3 of the periodic table​

Answers

Answer:

hello! Jaesuk~Sakai here!

Explanation:

The four group 3 elements are scandium, yttrium, lanthanum and actinium. “lanthanide” refers to the elements between lanthanum and lutetium. That term does not encompass scandium and yttrium. Scandium and yttrium act pretty much identically to lanthanides.

happy to help!!

Remember to always stay happy no matter what happens! ^^

Any change in an object's velocity is caused by
A. the object's mass
B. a balanced force
C. an unbalanced force
D. the object's direction

Answers

C. An unbalanced force

Answer:

C. an unbalanced force

Explanation:

I hope it helps ❤❤

Bob is pulling a 30 kg filing cabinet with a force of 200 N , but the filing cabinet refuses to move. The coefficient of static friction between the filing cabinet and the floor is 0.80
Part A
What is the magnitude of the friction force on the filing cabinet?
Express your answer to two significant figures and include the appropriate units.

Answers

The applied force, F, and the friction force, f, act on the cabinet in the direction of motion (x-axis). Therefore,

F + (-f) = mg

Now, by using the formula for static friction :

f = mg

f = (0.80)(30)(9.8)

f = 235.2 kg m/s² or,

Therefore, the magnitude of the friction force is 235.2 N.

What do you mean by static friction?

Static friction is a force that holds an object at leisure. It is the friction encountered when individuals try to move a fixed object on a surface without initiating any relative motion between the body and the surface on which it is.

How can you define static force?

A force acting on an object is static force if it does not change that particular object's size, position, or direction. The force involved in a structure acts as a load to that precise structure. This is why static force is also known as a static load.

To know more about force, visit here:

https://brainly.com/question/13191643

#SPJ1

can u find the . in this?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Yeah it's right there from the one next to the exclamation point

Answer:

its not there

Explanation:

its literally not there

The velocity ratio of a pulley system is 4. What does it means

Answers

Answer:

Velocity ratio = distance travelled by effort / distance travelled by load. Which is equal to effort arm / load arm. When velocity ratio (VR) is 4, the effort arm is greater than load arm.

This refers to the ability of the joints to move through a full range of motion

Answers

Answer:

Flexibility is the ability of a joint or series of joints to move through an unrestricted, pain free range of motion. ... These soft tissues include: muscles, ligaments, tendons, joint capsules, and skin.

Explanation:

2750 kg of water are pumped each minute through 55 m of 150 mm diameter pipe. the water is moved 13 m vertically. the pump efficiency is 76%. if the friction loss over the full length of pipe is 2.5 m, what power must be delivered to the pump?

Answers

The friction loss calculator to determine the pressure head loss resulting from friction for a specific pipe dimension and volumetric flow rate.

What is Friction loss calculator?

Energy is lost as a result of the friction force created when fluids interact with pipe walls. The Hazen-Williams formula is used in the pipe friction calculator to determine friction loss.

The loss in pressure due to friction using the specific weight of water in the advanced mode of our tool, meaning this pipe friction calculator can find the pressure drop in a water pipe system.

Common examples of water pipe systems are the water supply to your kitchen, the sprinkler system on the roof, water in a fire hose and a piping system to fill your swimming pool. The water flow in the mentioned systems has varied efficiency and pressure output depending on factors like friction due to the pipe's material.

Therefore, The friction loss calculator to determine the pressure head loss resulting from friction for a specific pipe dimension and volumetric flow rate.

To learn more about friction, refer to the link:

https://brainly.com/question/13000653

#SPJ1

Question 18 of 25 What is the current model of the atom called? O A. Electron cloud model B. Plum pudding model OC. Planetary model O D. Nuclear model​

Answers

The current model of the atom is called the electron cloud model or the quantum mechanical mode.

Current model of an atom explained.

The current model of the atom is called the electron cloud model or the quantum mechanical model. This model describes electrons as existing in a three-dimensional region around the nucleus called the electron cloud, where the electrons are most likely to be found at any given time. This model incorporates principles of quantum mechanics, which recognizes the wave-particle duality of electrons and the probabilistic nature of their behavior, in contrast to the earlier classical models like the planetary model or the plum pudding model.

Therefore, the nuclear model, which describes the atom as consisting of a central nucleus surrounded by electrons, is a precursor to the modern quantum mechanical model.

Learn more about current model below.

https://brainly.com/question/699642

#SPJ1

what property of gases describes the amount of space taken up by the gas?

Answers

Answer:

High pressure

The amount of space a gas's molecules take up compared to the total space in the container—the molecules' relative volume—gets bigger.

Explanation:

Which are properties of both a gas and a plasma? Check all that apply.

A. Can change shape to conform to a container
B. Has a rigid shape that does not change easily
C. Is made up of free-moving ions and electrons
D. Is compressed more easily than other states
E. Has particles that move freely from place to place
F. Will expand to completely fill a closed container

Answers

Answer:

D, E, and F

Explanation:

Like a gas, plasma lacks a fixed volume and shape. Unlike a gas, plasma can conduct electricity and respond to magnetism. That's because plasma contains charged particles called ions. The particles that make up matter are also constantly moving.

The properties of both a gas and a plasma are:

Is compressed more easily than other states.Has particles that move freely from place to place.Will expand to completely fill a closed container.

What are the properties of gas and plasma?

A gas lacks both a fixed volume and a fixed shape. While certain gases are palpable to humans and can be seen and felt, others are not. The gases oxygen, helium, and air are a few examples. N2, O2, and CO2 are among the gases that make up the Earth's atmosphere.

Both the volume and shape of plasma are illusive. Ionized gases frequently contain plasma, yet plasma differs from a gas in that it has special characteristics. The plasma is electrically conductive because it contains free electrical charges that aren't attached to atoms or ions. A gas can be heated and ionized to create plasma. Stars, lightning, fluorescent lights, and neon signs are a few examples of plasma.

Learn more about plasma here:

https://brainly.com/question/15545517

#SPJ5

ACTIVITY 4
Applying the equation learned, answer the following problems:

1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?

Given:

Find:

Formula:

Solution:

2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?

Given:

Find:

Formula:

Solution:

3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?

Given:

Find:

Formula:

Solution:​

Subject Is Science

Good Perfect Complete=Brainlist

Copy Wrong Incomplete=Report

Good Luck Answer Brainly Users:⁠-)

ACTIVITY 4Applying the equation learned, answer the following problems: 1. A bowling ball whose mass

Answers

Answer:

1)  10 kg-m/s

2)  2 kg

3)  20 m/s

Explanation:

The momentum of an object can be calculated using the equation:

\(\large\boxed{p=mv}\)

where:

p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).

\(\hrulefill\)

Question 1

For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.

Given values:

m = 4.0 kgv = 2.5 m/s

Substitute the given values into the momentum formula and solve for p:

\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)

\(p=10\;\text{kg m/s}\)

Therefore, the momentum of the bowling ball is 10 kg-m/s.

\(\hrulefill\)

Question 2

For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.

Given values:

p = 6.0 kg-m/sv = 3.0 m/s

As we want to find mass, rearrange the momentum formula to isolate m:

\(\large\boxed{m=\dfrac{p}{v}}\)

Substitute the given values into the formula and solve for m:

\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)

\(m=2\;\text{kg}\)

Therefore, the mass of the skateboard is 2 kg.

\(\hrulefill\)

Question 3

For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.

Given values:

p = 10 kg-m/sm = 0.5 kg

As we want to find velocity, rearrange the momentum formula to isolate v:

\(\large\boxed{v=\dfrac{p}{m}}\)

Substitute the given values into the formula and solve for v:

\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)

\(v=20\;\text{m/s}\)

Therefore, the velocity of the baseball is 20 m/s.

A trebuchet fired a tennis ball with an initial velocity. Determine the following

A trebuchet fired a tennis ball with an initial velocity. Determine the following

Answers

ANSWER

\(\begin{gathered} (a)\text{ }12.61\text{ }s \\ (b)\text{ }194.73m \\ (c)\text{ }608.57\text{ }m \\ (d)\text{ }78.4\text{ }m\/s \end{gathered}\)

EXPLANATION

Parameters given:

Initial velocity, v0 = 78.4

Angle of projectile, θ = 52 degrees

(a) To find the flight time of the tennis ball, apply the formula:

\(t=\frac{2v_0\sin\theta}{g}\)

where g = acceleration due to gravity

Hence, the total flight time of the tennis ball is:

\(\begin{gathered} t=\frac{2*78.4*\sin52}{9.8} \\ t=12.61\text{ }s \end{gathered}\)

(b) To find the maximum altitude of the ball during its flight, apply the formula:

\(H=\frac{v_0^2\sin^2\theta}{2g}\)

Therefore, the maximum height attained by the tennis ball is:

\(\begin{gathered} H=\frac{78.4^2*\sin^2(52)}{2*9.8} \\ H=194.73\text{ }m \end{gathered}\)

(c) To find the horizontal distance the tennis ball travels, apply the formula:

\(R=\frac{v_0^2\sin2\theta}{g}\)

Hence, the horizontal distance traveled by the tennis ball is:

\(\begin{gathered} R=\frac{78.4^2*\sin(2*52)}{9.8} \\ R=608.57\text{ }m \end{gathered}\)

(d) To find the final velocity of the tennis ball, apply the formula:

\(v=\sqrt{v_0^2+2h(-g)}\)

where h = initial height = 0 m

Hence, the final velocity of the tennis ball just before impact is:

\(\begin{gathered} v=\sqrt{78.4^2+2(0)(-9.8)} \\ v=\sqrt{78.4^2+0}=\sqrt{78.4^2} \\ v=78.4\text{ }m\/s \end{gathered}\)

PLEASE HELPPP
Force: Adding vectors (find resultant force)
50N north plus 50N west Plus 50N north west

Answers

To find the resultant force of the vectors 50N north, 50N west, and 50N northwest, we can use vector addition.
One way to do this is to draw a diagram of the vectors and use the head-to-tail method to find the resultant vector. We can start by drawing the vector 50N north, then draw the vector 50N west starting from the end of the first vector, and finally draw the vector 50N northwest starting from the end of the second vector and ending at the tip of the resultant vector. The resultant vector is the vector that starts at the beginning of the first vector and ends at the tip of the last vector.
Alternatively, we can use trigonometry to find the magnitude and direction of the resultant vector. We can break down each vector into its x and y components, then add up the x components and the y components separately to get the x and y components of the resultant vector. The magnitude of the resultant vector is then given by the square root of the sum of the squares of the x and y components, and the direction is given by the arctangent of the y component divided by the x component.
Using either method, we can find that the magnitude of the resultant force is approximately 70.7N, and the direction is approximately 45 degrees north of west

how would a planet move if the sun suddenly disappeared ?

Answers

Explanation:

The sun gravity keeps the solar system i.e planets in its place and orbits if there is no sun the planets would flying off and  It would be complete and utter chaos in our solar system

This force governs atomic decay.

Answers

Answer:

The weak force governs the decay of a neutron into a proton (a process known as beta decay). The strong force binds quarks together into protons and neutrons (the residual strong force holds protons and neutrons together in the nucleus). Gravity governs the motion of an apple falling from a tree.

Explanation:

Answer:

Weak Nuclear force

A satellite in orbit around Earth is in uniform circular motion. What is the angle between the velocity vector and acceleration vector at any given point on the orbit?
A. 90°
B. 45°
C. 180°
D. 0°

Answers

The correct answer is A. 90 Degrees

The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees, therefore the correct answer is option A.

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object. Generally, the unit of acceleration is considered as meter/seconds².

As given in the If a  satellite in orbit around Earth is in a uniform circular motion then we have to find the angle between the velocity vector and acceleration vector.

In a uniform circular motion, the angle between the velocity vector and acceleration vector is always π/2.

The angle between the velocity vector and acceleration vector at any given point in the orbit would be 90 degrees.

Thus, the correct answer is option A.

To learn more about acceleration from here, refer to the link ;

https://brainly.com/question/16768483

#SPJ2

Other Questions
A group of 42 tourists visits a city which has exactly three monuments. At each monument, each tourist decides whether or not to take a photo of the monument. After the visit to the city, it turned out that any two tourists together have photos of all three monuments. What is the smallest number of photos that could have been taken by all the tourists in total? Noah can't wait for lunchtime. Today is taco day! The cafeteria made three times as many beef tacos as chicken tacos and 50 more fish tacos as chicken tacos. They made 945 tacos in all. How many more beef tacos are there than fish tacos? Correct answer with units (if applicable) is worth 2 points; correct answer only is worth 1 point. Find the missing side. Round youranswer to the nearest tenth. I need help on this Once a student of mine needed to inoculate 9 mL of fresh media with 1 mL of an overnight culture (210 9 cells/mL) of a bacterium whose doubling time was 20 minutes. (So =???) The inoculation was to be done at 9:00am to allow the bacterium to grow for 5 more hours before the experiment started at 2:00pm. Problem.....the student has a prior commitment and cannot start the culture by 9:00am. They could start the culture at 8:00am instead. Help the student! What volume of culture should the student use to inoculate the culture at 8:00 am so that the culture is ready by 2:00pm ? (ANOVA) If your p level is 0.05, the probability that you will not make a Type I error when performing a single hypothesis test is ________. However, if you perform four hypothesis tests, then the probability of not making a Type I error is ________, which means that the probability of making a Type I error at least once in these four hypothesis tests is ________.a)0.95; 0.81; 0.19b)0.05; 0.19; 0.81c)0.95; 0.86; 0.14d)It is impossible to determine these probabilities based on the information provided. an investment of $105 generates after-tax cash flows of $40 in year 1, $100 in year 2, and $140 in year 3. the required rate of return is 20 percent. the net present value is closest to Complete these statements in # 10-12 based on the box plots45 50Chapter 9Chapter 1055 60 65 70 75 80 85 90 95 100Test Scores10. In chapter 9, 50% of the data is centered between 70 & 90 while in ch50% is centered between 5 & 7011. Chapter 9 data centers around12. Chapter 10 has a spread of How can a position-time graph be used in order to determine the speed and direction of an object ? A 401(k) plan usually provides participants with:a)A stock purchase optionb)A defined retirement benefitc)A salary deferral optiond)A credit life insurance policy If f(x) = x2 and g(x) = 3x + 1, then g(f(2))= ? Write an equation for line L in mpoint-slope form and slope-intercept form.L is perpendicular to y = 5x. How does paragraph 3 support the central idea of the selection?A. By showing how good lighting is the key to a good photographB. By highlighting Adams' innovative photography techniquesC. By explaining the importance of reading photography booksD. By highlighting how Adams gained popularity as a photographer secondary impression material that you will use What countermeasure could it take to prevent the congress from expanding the money supply? .The equation p = 3f - 50 can be used to represent a shop's profit from Valentine's Day's flower sales, where f represents the number of flowers sold and p is the profit. Which statement about the equation is true? The y-intercept is 3, and it represents the number of flowers the shop had before Valentine's Day. The slope is -50, and it represents how many flowers were sold. The y-intercept is -50, and it represents the price of each flower. The slope is 3, and it represents the price of each flower. The class average on a test was about 86% or 19 questions correct. How many questions were on the test? Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.Formula for a converging infinite series. a1 is the first term and r is the common ratio.A. 4B. 1.33C. 5.33 Solve the following inequality.Show your work. 2m + 6 > 7(m 2) On the map which feature is identified with the letter w