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.

## Practice problems

### Problem #1

Determine the force required to accelerate a 5 kg box at the rate of 10 m/s^{2}.

**Solution**

Given data:

- Force acting on a box, F = ?
- Mass of a box, m = 5 kg
- Acceleration of a box, a = 10 m/s
^{2}

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/s^{2} 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/s^{2}?

**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/s
^{2}

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/s^{2}.

**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/s
^{2}

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/s^{2}, 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/s
^{2} - 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**.

## Related

## More topics

**Force equation**- Normal force equation
- Net force formula
- Applied force formula
- Magnetic force equation
- Centripetal force equation
- Centrifugal force equation
- Spring force equation
- Tension force formula
- Electric force equation