# Momentum Equation | Problems (With Solutions)

Momentum (p) is equal to the product of mass (m) and the velocity (v). Using the equation of momentum: p = m × v, the value of momentum of an object can be calculated.

Let’s solve some problems based on this equation, so you’ll get a clear idea.

## Momentum Practice Problems

Problem 1: Calculate the momentum of a 2 kg ball rolling towards the east with the velocity of 3 m/s.

Solution:

Given data:
Momentum of a ball, p = ?
Mass of a ball, m = 5 kg
Velocity of a ball, v = 3 m/s

Using the equation of momentum,
p = m × v
p = 5 × 3
p = 15 kg m/s

Therefore, the momentum of a ball is 15 kg m/s towards the east.

Problem 2: A car of mass 800 kg is moving towards the north with the velocity of 10 m/s. What is the momentum of a car?

Solution:

Given data:
Mass of a car, m = 800 kg
Velocity of a car, v = 10 m/s
Momentum of a car, p = ?

Using the equation of momentum,
p = m × v
p = 800 × 10
p = 8000 kg m/s

Therefore, the momentum of a car is 8000 kg m/s towards the north.

Problem 3: What is the momentum of a 3000 kg truck running on the highway towards the west with the velocity of 8 m/s?

Solution:

Given data:
Mass of a truck, m = 3000 kg
Velocity of a truck, v = 8 m/s
Momentum of a truck, p = ?

Using the equation of momentum,
p = m × v
p = 3000 × 8
p = 24000 kg m/s

Therefore, the momentum of a truck is 24000 kg m/s towards the west.

Problem 4: If a bicycle of mass 5 kg is moving with the velocity of 15 m/s towards the south, then what is the momentum of a bicycle?

Solution:

Given data:
Mass of a bicycle, m = 5 kg
Velocity of a bicycle, v = 15 m/s
Momentum of a bicycle, p = ?

Using the equation of momentum,
p = m × v
p = 5 × 15
p = 75 kg m/s

Therefore, the momentum of a bicycle is 75 kg m/s towards the south.

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