# 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 .

- Akgβ
km/s
^{2} - Bkgβ
m/s
^{2} - Ckg
- Dkgβ 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 carβs 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 bodyβs 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/s^{2}.
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/s^{2}.
Given that its motion was in a straight line, find its momentum 0.1 minutes after it started moving.