What is the maximum height that a car traveling at 150 km/h can achieve when going up a hill? (Assume that only conservative forces are involved.)

A
The maximum height will depend on the mass of the car.

B
89 m

C
2.1 m

D
1100 m

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Question

What fundamental conservation law is used to solve for the maximum height a car can reach on a hill when only conservative forces act?

Answer

The Conservation of Mechanical Energy.

Question

Write the energy transformation equation that states the car's initial kinetic energy is entirelyconverted to gravitational potential energy at the maximum height.

Answer

1/2mv =mgh 2

Question

What fundamental physics principle allows us to set the initial kinetic energy equal to the final potential energy to solve for the maximum height?

Answer

The Conservation of Mechanical Energy

Question

What is the qualitative relationship between a car's initial speed and the maximum height it can achieve on a hill, assuming no energy losses?

Answer

The height is proportional to the square of the initial speed (e.g., doubling the speed quadruples the possible height).

Question

What energy transformation explains why a moving car can coast up a hill to a certain height without its engine?

Answer

The conversion of kinetic energy into gravitational potential energy

Question

Would the calculated maximum height be greater if this scenario occurred on a planet with a weaker gravitational acceleration than Earth's?

Answer

yes

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If two cars with different masses but the same initial speed coast up the same frictionless hill, will they reach the same maximum height?

What is the maximum height that a car traveling at 150 km/h can achieve when going up a hill? (Assume that only conservative forces are involved.)

A
The maximum height will depend on the mass of the car.

B
89 m

C
2.1 m

D
1100 m

The maximum height the car can reach is 88.5 Metres.

Topic Flashcards

Mini Quiz

Related Questions

What is the maximum height that a car traveling at 150 km/h can achieve when going up a hill? (Assume that only conservative forces are involved.)

A The maximum height will depend on the mass of the car. B 89 m C 2.1 m D 1100 m

The maximum height the car can reach is 88.5 Metres.

Topic Flashcards

Mini Quiz

Related Questions

A
The maximum height will depend on the mass of the car.

B
89 m

C
2.1 m

D
1100 m