# Force equation

The force equation states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a). Mathematically represented as F = m × a, this equation is used to calculate the amount of force exerted on an object.

Contents

## Practice problems

### Problem #1

Determine the force required to accelerate a 5 kg box at the rate of 10 m/s2.

Solution

Given data:

• Force acting on a box, F = ?
• Mass of a box, m = 5 kg
• Acceleration of a box, a = 10 m/s2

Applying the formula:

• F = m × a
• F = 5 × 10
• F = 50 N

Therefore, the force required to accelerate a 5 kg box at the rate of 10 m/s2 is 50 N.

### Problem #2

What is the force acting on a football with a mass of 450 grams when it is accelerating at a rate of 20 m/s2?

Solution

Given data:

• Force acting on a football, F = ?
• Mass of a football, m = 450 gm = 0.45 kg
• Acceleration of a football, a = 20 m/s2

Applying the formula:

• F = m × a
• F = 0.45 × 20
• F = 9 N

Therefore, the force acting on a football is 9 N.

### Problem #3

Calculate the force acting on a 2 kg bowling ball that is experiencing an acceleration of 18 m/s2.

Solution

Given data:

• Force acting on a bowling ball, F = ?
• Mass of a bowling ball, m = 2 kg
• Acceleration of a bowling ball, a = 18 m/s2

Applying the formula:

• F = m × a
• F = 2 × 18
• F = 36 N

Therefore, the value of force acting on a bowling ball is 36 N.

### Problem #4

If a rubber tire with a mass of 1 kg accelerates at a rate of 6 m/s2, what is the magnitude of the force acting on it?

Solution

Given data:

• Mass of a rubber tire, m = 1 kg
• Acceleration of a rubber tire, a = 6 m/s2
• Force acting on a rubber tire, F = ?

Applying the formula:

• F = m × a
• F = 1 × 6
• F = 6 N

Therefore, the value of force acting on a rubber tire is 6 N.