Worksheet: Finding Momentum of a Body by Using the Formula H=mv

Here, you can practice calculating the momentum of a particle moving in a straight line by using the formula H=mv where m is the mass of the particle and v its velocity.

Q1:

Determine the momentum of a car of mass 2.1 tonnes moving at .

Q2:

Determine the momentum of a car of mass 2.6 tonnes moving at .

Q3:

Determine the momentum of a car of mass 2.9 tonnes moving at .

Q4:

Find the momentum of a body 33 kg moving at 18 km/h in gram-centimeters per second.

A
165 000
g⋅cm/s
B
594 000
g⋅cm/s
C 594 g⋅cm/s
D
16 500 000
g⋅cm/s

Q5:

Find the momentum of a body 9 kg moving at 11 km/h in gram-centimeters per second.

A
27 500
g⋅cm/s
B
99 000
g⋅cm/s
C 99 g⋅cm/s
D
2 750 000
g⋅cm/s

Q6:

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

Q7:

A body of mass 49 g accelerated from rest at 7 cm/s². Given that its motion was in a straight line, find its momentum 0.1 minutes after it started moving.

Q8:

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.

Q9:

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.

Q10:

A car was moving on a straight road at 109 km/h through a sand storm which was moving at 87 km/h in the opposite direction. If the mass of a grain of sand was 9 milligrams, determine its momentum relative to the car in gram-centimeters per second.

A 27.25 g⋅cm/s
B 5.5 g⋅cm/s
C 21.75 g⋅cm/s
D 49 g⋅cm/s

Q11:

Water vapour condenses on the surface of a plane in the sky and then falls in the form of drops at a rate of 14.7 kg/s. Given that the mass of one water drop is 0.39 g, determine the momentum of a water drop when it reaches the surface of the ground from a height of 1 000 m. Take .

Q12:

Find the height from which a body of mass 0.3 kg would have to fall in order for the magnitude of its momentum just before hitting the ground to be equal to the momentum of a body of mass 63 g moving at 336 km/h.

Q13:

At time , a car with a mass of 7 metric tons, is travelling along a racetrack at a speed of 161 m/s and is burning fuel at a constant rate of 10 kg/s. Given that the car’s momentum at time is equal to it’s momentum at a time 10 seconds later, find the velocity of the car after this 10 seconds. Give your answer to the nearest km/h.

Q14:

A horizontal force of magnitude 265 kg-wt started acting on a body of mass 10 kg at rest on a horizontal plane. Given that the body started moving and that the resistance to its movement was of magnitude 2 208 N, find the momentum of the body 4 seconds after the force started acting on it. Take .

Q15:

A cannon of mass 2.7 metric tons was moving at 2 km/h in a straight line whereas the cannon ball of mass 10 kg was moving at 124 m/s. Given that the momentum of the cannon is and the momentum of the cannon ball is . Which of the following statements is true?