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/s2
  • Bkgβ‹…m/s2
  • 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 𝑑 seconds, its displacement from a fixed point on the line is given by 𝑠=ο€Ή6π‘‘βˆ’3𝑑+4ο…οŠ¨m. Find the magnitude of the car’s momentum at 𝑑=3s.

Q5:

A body of mass 7 kg is moving in a straight line. Its position vector at a time 𝑑 is given by the relation rij(𝑑)=𝑑+5+𝑑+π‘‘ο…οŠ¨οŠ©, where ||r is measured in meters and 𝑑 in seconds. Determine the body’s momentum after 2 seconds.

  • A28+91ij
  • B14+13ij
  • C28+85ij
  • D56+84ij

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 𝑔=9.8/ms.

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 𝑑 seconds, its acceleration is given by π‘Ž=(βˆ’6π‘‘βˆ’8)/ms. Find the change in its momentum in the time interval 6≀𝑑≀9.

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.

Practice Means Progress

Download the Nagwa Practice app to access 47 additional questions for this lesson!

scan me!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.