Lesson Worksheet: Kinetic Energy Mathematics

In this worksheet, we will practice calculating the kinetic energy of a moving particle of mass 𝑚 that moves with a velocity of magnitude 𝑣.

Q1:

A body of mass 940 g is moving at 4 m/s. Determine its kinetic energy.

Q2:

Find the kinetic energy of a body of mass 4 kg moving at 36 m/s. Express your answer in ergs.

  • A2.592×10 erg
  • B2.592×10 erg
  • C2,592 erg
  • D5.184×10 erg
  • E1.037×10 erg

Q3:

A body of mass 170 metric tons was moving at 72 km/h, and a second body of mass 850 g was moving at 5,000 m/s. Determine the ratio of the kinetic energy of the second body to that of the first one.

  • A6252
  • B547294
  • C532
  • D13539
  • E516

Q4:

Given that the kinetic energy of a moving bullet of mass 135 kg, at a certain instant, was 7,000 joules, determine its speed.

Q5:

Find the mass of a body moving at 400 cm/s whose kinetic energy is 1,184 joules.

Q6:

A particle of mass 225 g started moving from the top of a smooth plane inclined to the horizontal at an angle whose sine is 13. Given that the plane was 48 m long, find the kinetic energy of the particle when it reached the bottom of the plane. Take 𝑔=9.8/ms.

Q7:

A particle of mass 500 g fell vertically from a height of 17.6 m above the ground. Determine its kinetic energy just before it hit the ground. Consider the acceleration due to gravity 𝑔=9.8/ms.

Q8:

A body of mass 500 g is moving at a constant velocity vij=(23)/cms, where i and j are two perpendicular unit vectors. Find its kinetic energy.

  • A6.5×10 ergs
  • B1,250 ergs
  • C3,250 ergs
  • D6,500 ergs
  • E3.25×10 ergs

Q9:

A body is moving at a constant velocity vij=(250250)/cms, where i and j are two perpendicular unit vectors. Given that the kinetic energy of the body is 4.8 joules, find the mass of the body.

Q10:

A cannon fired a shell of mass 16 kg at 285 m/s toward a tank that was moving at 72 km/h in a straight line directly toward the cannon. Determine the kinetic energy of the shell relative to the motion of the tank.

This lesson includes 51 additional questions and 522 additional question variations for subscribers.

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