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Attempts 127

A bicycle and a car are both traveling at a rate of 5 m/s. Which statement is true?

  1. A
    The bicycle has more kinetic energy than the car.
  2. B
    The bicycle has less kinetic energy than the car.
  3. C
    Both vehicles have the same amount of kinetic energy.
  4. D
    Only the car has kinetic energy.

Topic Flashcards

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Question

What is the formula for calculating the kinetic energy (KE) of a moving object? Define each variable.

Answer

KE=i/2mv2,where m is the object's mass (in kg) and v is its speed (in m/s).

Question

Object A has a mass of 10 kg and Object B has a mass of 40 kg. If both are moving at the same speed of 3 m/s, how many times greater is the kinetic energy of Object B compared to Object A?

Answer

4 times greater. (Since K E ∝ m KE∝m when v is constant, and B has 4 times the mass of A, its KE is 4 times larger).

Question

A car has 9 times the kinetic energy of a bicycle when they are traveling at the same speed. What is the ratio of the car's mass to the bicycle's mass?

Answer

9 to 1. (From K E ∝ m KE∝m, if the velocities are equal, the ratio of kinetic energies equals the ratio of their masses).

Question

How does the kinetic energy of an object change if its speed is doubled while its mass remains the same?

Answer

The kinetic energy increases by a factor of 4. (Since K E ∝ v 2 KE∝v 2 , doubling v means KE new=1/2m(2v)2=4*1/2mv2)

Question

Can a less massive object ever have more kinetic energy than a more massive object? If so, what condition must be met?

Answer

Yes. The less massive object must have a high enough speed so that its v 2 v 2 term compensates for its smaller mass. Specifically, its speed must be greater by a factor larger than the square root of the mass ratio.

Mini Quiz

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Does the kinetic energy of an object depend solely on its speed and not on its mass?
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