# Momentum equation

The momentum equation states that momentum (p) is calculated as the product of an object’s mass (m) and its velocity (v). Mathematically, the equation of momentum is expressed as p = m × v. This equation allows for the determination of the momentum of an object based on its mass and velocity.

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## Practice problems

### Problem #1

Calculate the momentum of a 2 kg ball rolling towards the east with a 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

Applying the formula:

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

Solution

Given data:

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

Applying the formula:

• 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 traveling on the highway towards the west with a velocity of 8 m/s?

Solution

Given data:

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

Applying the formula:

• 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 with a mass of 5 kg is moving at a velocity of 15 m/s towards the south, what is the momentum of the bicycle?

Solution

Given data:

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

Applying the formula:

• 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.