# Lesson Worksheet: Linear Momentum Mathematics

In this worksheet, we will practice calculating the momentum of a particle moving in a straight line using the formula 𝐻 = 𝑚𝑣.

Q1:

Determine the momentum of a car of mass 2.1 metric tons moving at 42 km/h.

Q2:

Complete the following: The unit of linear momentum is .

• Akg⋅km/s2
• Bkg⋅m/s2
• Ckg
• Dkg⋅m/s
• Ekg/m/s

Q3:

A gun fires 97 bullets per minute. The mass of each bullet is 10 g, and the muzzle speed of the gun is 180 m/s where the muzzle speed is the exit speed of the bullet from the barrel of the gun. Find the momentum transferred to the bullets per second.

Q4:

A car of mass 1,350 kg moves in a straight line such that at time seconds, its displacement from a fixed point on the line is given by . Find the magnitude of the car’s momentum at .

Q5:

A body of mass 7 kg is moving in a straight line. Its position vector at a time is given by the relation , where is measured in meters and in seconds. Determine the body’s momentum after 2 seconds.

• A
• B
• C
• D

Q6:

Calculate the momentum of a stone of mass 520 g after it has fallen 8.1 m vertically downward. Consider the acceleration due to gravity to be .

Q7:

A body of mass 17 kg moves in a straight line with constant acceleration of 1.8 m/s2. Its initial velocity is 22.3 m/s. Find the increase in its momentum in the first 5 seconds.

Q8:

A rubber ball of mass 41 g was moving horizontally along a smooth surface. It struck a barrier at 62 cm/s and rebounded in the opposite direction at 45 cm/s. Find the magnitude of the change in its momentum as a result of the impact.

Q9:

A body of mass 5 kg moves along a straight line. At time seconds, its acceleration is given by . Find the change in its momentum in the time interval .

Q10:

A body of mass 12 g accelerated from rest at 19 cm/s2. Given that its motion was in a straight line, find its momentum 0.1 minutes after it started moving.