A(n) 1700 kg car is moving along a level road at 21 m/s. The driver accelerates, and in the next 10 s the engine provides 22000 J of additional energy. If 3666.67 J of this energy must be used to overcome friction, what is the final speed of the car

Answers

Answer 1

The final speed of the car at the given conditions is 30.1 m/s.

The given parameters:

Mass of the car, m = 1700 kgVelocity of the car, v = 21 m/sTime of motion, t = 10 sAdditional energy provided by the engine, E₁ = 22,000 JEnergy used in overcoming friction, E₂ = 3,666.67 J

The change in the energy applied to the car is calculated as;

[tex]\Delta E = E_1 - E_2\\\\\Delta E = 22,000 \ J \ - \ 3,666.67 \ J\\\\\Delta E = 18,333.33 \ J[/tex]

The final speed of the car is calculated as follows;

[tex]\Delta E = \frac{1}{2} m(v_f^2 - v_0^2)\\\\v_f^2 - v_0^2 = \frac{2\Delta E}{m} \\\\v_f^2 = \frac{2\Delta E}{m} + v_0^2\\\\v_f = \sqrt{ \frac{2\Delta E}{m} + v_0^2} \\\\v_f = \sqrt{ \frac{2\times 18,333.4}{1700} + (21)^2} \\\\v_f = 30.1 \ m/s[/tex]

Thus, the final speed of the car at the given conditions is 30.1 m/s.

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Related Questions

what is 7 kg on the moon in newtons?

Answers

Answer:

11.37N

Explanation:

We can use the GUESS method to derive our solution.

Given:

We know our mass, and our acceleration. The acceleration on the moon is 1.625m/s^2.

[tex]m = 7kg \\ a = 1.625 \frac{m}{ {s}^{2} } [/tex]

Unknown:

We don't know, and are trying to find the force in Newtons.

[tex]F[/tex]

Equation:

We can use Newton's second law to find the solution.

[tex]F = ma[/tex]

Substitute:

Let's substitute our values into our equation.

[tex]F = 7 \times 1.625[/tex]

Solve:

We find our solution after solving for F.

[tex]7 \times 1.625 = F \\ 11.37 = F[/tex]

Our solution is 11.37N

astronauts appear weightless while working in the international space station because

Answers

cause there's no gravity therefore they appear weightless

Mass can be measured with a triple
beam balance in units of
Resources
A. grams
B. Newtons
C. cubic centimeters
D. millimeters

Answers

Answer:

It can be measure by grams

A 2.6 kg mass attached to a light string rotates on a horizontal,
frictionless table. The radius of the circle is 0.525 m, and the
string can support a mass of 17.9 kg before breaking. The
acceleration of gravity is 9.8m/s2. What maximum speed can
the mass have before the string breaks?

Answers

The maximum speed the mass can have before it breaks is 2.27 m/s.

The given parameters:

maximum mass the string can support before breaking, m = 17.9 kgradius of the circle, r = 0.525 m

The maximum speed the mass can have before it breaks is calculated as follows;

[tex]T = ma_c\\\\Mg = \frac{Mv^2}{r} \\\\v^2 = rg\\\\v = \sqrt{rg} \\\\v_{max} = \sqrt{0.525 \times 9.8} \\\\v_{max} = 2.27 \ m/s[/tex]

Thus, the maximum speed the mass can have before it breaks is 2.27 m/s.

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Determine the kinetic energy of a 625-kg roller coaster car that is moving with a speed of 10 m/s.

Answers

Hi there!

Kinetic energy can be calculated using the following:

[tex]\large\boxed{KE = \frac{1}{2}mv^2}}[/tex]

Where:

KE = Kinetic energy (J)

m = mass (kg)

v = velocity (m/s)

Plug in the given values:

[tex]KE = \frac{1}{2}(625)(10^2) = \boxed{31250J}[/tex]

The equation for kinetic energy is:

KE = 1/2 x mass x (velocity)^2

Mass = 625
Velocity = 10

Substitute the values into the equation.

KE = 1/2 x 625 x (10)^2

KE = 1/2 x 625 x 100

KE = 31250 joules

a car collides with a wall. compare the forces exerted by the car on the wall and the wall on the car​

Answers

Answer:

Newton’s third law states that for every action there is an equal and opposite reaction. Based on this you can say that the car crashing into the wall would put force into the wall. However, because the wall didn’t move it gives an equal force back to the car, probably causing it to crumple.

Explanation:

Mass multiplied by acceleration produces force.

The acceleration is (v - 0)/t in this situation, where t seems to be the time it takes automobile A to come to a stop. According to Newton's third law of motion, the automobile produces this turning force of the wall, however the wall, which really is static and indestructible, forces an equal force back on the car.

According to Newton's third law, each action has an equal and opposite response. On this basis, you may deduce that a car driving into a wall would exert force on the wall. However, since the wall did not move, the automobile receives an equivalent force, causing it to collapse.

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what does a pair of shoes weigh on mars?

Answers

Answer:

0.76 lbs (if shoes 2lbs)

Explanation:

Gravity on Mars is only ~38% as strong as it is on Earth, so objects would only weigh ~38% of their Earth weight.

what is a velocity of an object with a momentum of 300 kg m/s and the mass of 100 kg​

Answers

Answer:

v = 3 m/s

Explanation:

P is the momentum

m is the mass

v is the velocity

P = m•v

300 = 100•v Divide both sides per 100

300/100 = v

v = 3 m/s

[tex]\text{Given that,}\\\\\text{Momentum, p = 300 kg m s}^{-1}\\\\\text{Mass, m = 100 kg}\\\\\text{We know that,}\\\\p = mv\\\\\implies v = \dfrac pm = \dfrac{300}{100} = 3 ~ \text{m s}^{-1}[/tex]

In a game of pool, a cue ball rolls without slipping toward the stationary eight ball with a momentum of 0.23 kg. After the two balls collide, the final momentum of the cue ball is 0.01 kg. what is the magnitude of the final momentum of the eight ball

Answers

This question involves the concepts of the law of conservation of momentum.

The magnitude of the final momentum of the eight ball is "0.22 N.s".

According to the law of conservation of momentum:

[tex]P_{i1}+P_{i2}=P_{f1}+P_{f2}[/tex]

where,

[tex]P_{i1}[/tex] = initial momentum of the cue ball = 0.23 N.s

[tex]P_{i2}[/tex] = initial momentum of the eight ball = 0 N.s (since ball is initially at rest)

[tex]P_{f1}[/tex] = final momentum of the cue ball = 0.01 N.s

[tex]P_{f2}[/tex] = final momentum of the eight ball = ?

Therefore,

[tex]0.23\ N.s + 0\N.s = 0.01\ N.s+P_{f2}\\\\P_{f2} = 0.22\ N.s[/tex]

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How much force is necessary to stretch a spring 0.5 m when the spring constant is 190 N/m?

Answers

Answer:

95 N

Explanation:

what is the danger to spacecraft and astronauts from micrometeoroids?

Answers

Answer:

Suppose the micrometeoroid weighed 1 g = .001 kg

Suppose also the spacecraft were moving at 18,000 mph (1.5 hrs per rev)

Usually, the smaller particle would be moving but for simplicity suppose that it were stationary wrt the ground

v = 18000 miles / hr * 1500 m/mile / 3600 sec/hr = 7500 m/s

KE = 1/2 * .001 kg * (7500 m)^2 = 28,125 Joules

One can see that 28000 Joules could be damaging amount of energy

1.Explain why you think it is important to vary your
physical activities from time to time.

2. Define: Lifelong activities and Lifetime sports.
Include similarities, differences and give
examples.

Answers

Answer:

I feel like a person should vary their physical activities because it keeps your body in shape and fit and you are able to move around. For example, like running or jogging it helps burn calories and it helps keep your abs/stomach right.

Explanation:

When a squid pushes against the water, the squid moves forward because the

______________ pushes against the _______________.​

Answers

Answer:

water pushes against the squid

What is centripetal force and elastic force

Answers

Answer:

centripetal force is a net force that acts on an object to keep it moving along a circular path and elastic force acts to return a spring to its natural length

Read the picture, please. I am a bit confused about what it means when it says which one supports it.

Answers

Answer:

not suppoted

not supported

support

This property of waves is the only property where the relationship between energy and this property are indirect or inverse

Answers

Answer: I don't understand

Explanation:

study and pay attention

what is the velocity of 8.01

Answers

Answer: The velocity of what?

A 1500 kg car travels 50 m north in 20 seconds. What is the magnitude of the average velocity of the car during the 20 second interval?
a. 2.5 m/s
b. 5.0 m/s
c. 6.5 m/s
d. 7.0 m/s

Answers

Answer:

a. 2.5 m/s

Explanation:

50 / 20 = 2.5 m/s

A block of mass M is attached to a spring of negligible mass and can slide on a horizontal surface along the x-direction, as shown above. There is friction present between the block and the surface. The spring exerts no force on the block when the center of the block is located at x=0. At the instant shown above, the block is located at x=0 and moving toward the right with speed v=v0. (a) For the instant shown above, with the block located at x=0 and moving to the right, predict the direction of the net force on the block. If the net force is zero, select “The net force is zero.”

_ To the left _ The net force is zero _ To the right
Briefly justify your prediction.

Answers

Answer:

Because of the frictional force, the net force will oppose direction of the block and be directed towards the left even tho the spring exerts no force at this point

Why is saving important to the economy.......and to you?

Answers

Answer: Saving is important to the economic progress of a country because of its relation to investment. If there is to be an increase in productive wealth, some individuals must be willing to abstain from consuming their entire income.

Explanation:

Savings is important to the economy because it enables growth and development of a nation.

Importance of savings

The importance of savings to the economy in general can not be over emphasized.

The following are some importance of savings to the economy;

Growth in the economy: when people save money the economy grows.Development: The increase in the economy due to savings can help in the development of a nation.

Thus, savings is important to the economy because it enables growth and development of a nation.

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Read this statement: Biotechnology uses primary clarifiers for biological nutrient removal.

Which part of the statement is not true?

Biological nutrients are found in wastewater.
Primary clarifiers remove biological nutrients.
Biological nutrients are part of biotechnology processes.
Biological nutrient removal is part of wastewater management.

Answers

Primary clarifiers removing biological nutrients is not true. Primary clarifiers

involves the use of processes such as sedimentation in order to remove

particles floating or other inorganic solids from the waste water.

Biological nutrients such as nitrogen and  phosphorus are found in waste

water and removal of these important nutrients for other uses is a part of

waste water management.

The secondary clarifiers are the ones responsible for the removal of

biological nutrients in the waste water through biofiltration etc.

Read more on https://brainly.com/question/25085634

A go cart with a mass of 60 kg is moving at a rate of 10 m/s. How much Kinetic Energy does the go cart have?

Answers

Answer:

3000 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass in kg

v is the velocity in m/s

From the question

m = 60 kg

v = 10 m/s

We have

[tex]k = \frac{1}{2} \times 60 \times {10}^{2} \\ = 30 \times 100 \\ = 3000[/tex]

We have the final answer as

3000 J

Hope this helps you

Answer:

[tex]\boxed {\boxed {\sf 3000 \ J}}[/tex]

Explanation:

Kinetic energy is the energy an object has due to motion. It is calculated using the following formula:

[tex]KE=\frac{1}{2} mv^2[/tex]

The mass of the go-cart is 60 kilograms and the velocity is 10 meters per second.

m= 60 kg v= 10 m/s

Substitute the values into the formula.

[tex]KE= \frac{1}{2} (60 \ kg)(10 \ m/s)^2[/tex]

Solve the exponent.

(10 m/s)² = 10 m/s * 10 m/s = 100 m²/s²

[tex]KE = \frac{ 1}{2} (60 \ kg)(100 \ m^2/s^2)[/tex]

Multiply the numbers together.

[tex]KE= 30 \ kg * 100 \ m^2/s^2[/tex]

[tex]KE= 3000 \ kg*m^2/s^2[/tex]

Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer of 3000 kg*m²/s² equals 3000 Joules.

[tex]KE= 3000 \ J[/tex]

The go-cart has 3000 Joules of kinetic energy.


4. Marcia consumes 8.4 X 10.J (2000 food calories) of energy per day while maintaining a constant weight.
What is the average power she produces in a day? 97 Watts

Answers

Answer:

8.40 is your answer.

Explanation:

The average power  she produces in a day be   97.22 Watts.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Marcia consumes total amount of energy per day = 2000 calories = 8.4 × 10⁶ joule.

1 day = 24 × 60 × 60 second = 86400 second

So, average power  she produces in a day = energy/time

=  8.4 × 10⁶ joule/86400 second

= 97.22 Watts

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Is mechanical energy the result of both kinetic and potential energy?

Answers

Answer:

Yes

Explanation:

Because putting them together would make a type of energy making the answer yes

The answer is: Yes, mechanical energy can be both kinetic and potential energy.

Explanation:

The mechanical energy of an object can be the result of its motion (i.e., kinetic energy) and/or the result of its stored energy of position (i.e., potential energy).

The total amount of mechanical energy is merely the sum of the potential energy and the kinetic energy. This sum is simply referred to as the total mechanical energy.

A young man heaves a 6.5 kg rock at a velocity of 6.9 m/s. What is the kinetic energy of the rock?

Answers

Answer:

Hope it will help you a lot.

The diagram shows a nephron.

A nephron. W points to branch of renal artery. X points to branch of renal vein. Y points to tubular point of nephron. Z points to collecting duct.

Where is the blood first filtered?

Answers

Answer:

w

Explanation:

renal artery...the blood flow into the kidney via this blood vassles

and the filtration take place is called ultrafiltration

Now you need to put handles on your cookware! You have five different options, including metals and nonmetals such as wood. Based on specific heat, which material would be the best choice? the material with the smallest specific heat the material with the greatest specific heat the material whose specific heat is farthest from the specific heat of the metal pan the material whose specific heat is closest to the specific heat of the metal pan.

Answers

Answer: B the material with the greatest specific heat

Explanation:

Just did the assignment

Answer:

B. The material with the greatest specific heat

Explanation:

You are handed two mystery materials, and told to find out which materials accepts negative charges more easily. A positively-charged, helium-filled balloon is tied to a tabletop with a string a meter long. What's a simple experiment you could run to find out which material accepts electrons more easily?

Answers

The simple experiment you could run to find out which material accepts electrons more easily is to rub them together and move the two charge misery materials one after the other to the positive - charge helium - filled balloon.

According to the fundamental law of static electricity which state that unlike charges attract each other while like charges repel.

The simple experiment you could run if you are handed two mystery materials, and told to find out which materials accepts negative charges more easily charging by friction.

This can be employed by rubbing the two misery materials together and move them one by one to a  positively-charged, helium-filled balloon which is tied to a tabletop with a string of a meter long.

The misery material that accepts electron more easily will be attracted to the positive - charge helium - filled balloon. While the gravitational pull will pull down the other misery material. The attraction  will not be effective.

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on which principle does a thermometer is based​

Answers

Answer:

thermal expansion

hope it helps

Does the coefficient of kinetic friction depend on the speed?

Answers

Answer:

yes because if the speed/K.E. of body increases the friction will also apply more instantly

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