# 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.

• A erg
• B erg
• C2,592 erg
• D erg
• E 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.

• A
• B
• C
• D
• E

Q4:

Given that the kinetic energy of a moving bullet of mass 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 . Given that the plane was 48 m long, find the kinetic energy of the particle when it reached the bottom of the plane. Take .

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 .

Q8:

A body of mass 500 g is moving at a constant velocity , where and are two perpendicular unit vectors. Find its kinetic energy.

• A ergs
• B1,250 ergs
• C3,250 ergs
• D6,500 ergs
• E ergs

Q9:

A body is moving at a constant velocity , where and 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.

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