Worksheet: Kinetic Energy

In this worksheet, we will practice calculating the kinetic energy of objects of different masses, moving at different velocities.

Q1:

How many times larger is the kinetic energy of a bullet of mass 0.005 kg that has a velocity of 500 m/s than the kinetic energy of a drone with a mass of 5 kg and a velocity of 5 m/s?

Q2:

A motorboat at rest on a lake has a mass of 665 kg. The motorboat then accelerates until it has a kinetic energy of 340 480 J. When the motorboat has accelerated, at what rate does it move toward a stationary boat that is directly in front of it?

Q3:

A hummingbird has a mass of 40 g. The hummingbird flies in a straight line between two flowers 18 m apart in a time of 12 s. What is the average kinetic energy of the hummingbird while flying between the flowers?

Q4:

An object has 75 J of kinetic energy and a mass of 1.5 kg. What is the velocity of the object?

Q5:

An object that has 9 J of kinetic energy is moving at 3 m/s. What is the mass of the object?

Q6:

An object with a mass of 1.25 kg has a velocity of 12 m/s. What is the object’s kinetic energy?

Q7:

An object’s kinetic energy when it moves at different velocities is shown in the table. What is the object’s mass in grams?

Velocity (m/s) 1 2 3 4 5
Kinetic Energy (J) 0.1 0.4 0.9 1.6 2.5

Q8:

The quantity 𝑣, the velocity of an object, is how much the object changes its displacement from a given position each second. The quantity 𝐸 is the kinetic energy of an object. Which of the following formulas correctly shows the relationship between 𝑣, 𝐸, and the mass of the object?

  • A 𝐸 = 1 2 𝑚 𝑣
  • B 𝐸 = 1 2 𝑚 𝑣
  • C 𝐸 = 𝑚 𝑣
  • D 𝐸 = 𝑚 𝑣
  • E 𝐸 = 𝑚 𝑣

Q9:

A motorcycle of mass 250 kg moving at 32 m/s has four times as much kinetic energy as a 640 kg mass car. What is the velocity of the car?

Q10:

An object’s kinetic energy when it moves at different velocities is shown in the graph.

What is the kinetic energy of the object when its instantaneous velocity is 2 m/s?

What is the kinetic energy of the object when its instantaneous velocity is 4 m/s?

What is the object’s mass?

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