**Force **(N) is equal to **mass **(kg) times **acceleration **(m/s^{2}). Using the equation of force: **F = m × a**, the value of force acting on an object can be calculated.

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

## Force Practice Problems

**Problem 1:** Calculate the force required to accelerate a 5 kg box at the rate of 10 m/s^{2}.

Solution:

Given data:

Mass of a box, m = 5 kg

Acceleration of a box, a = 10 m/s^{2}

Force acting on a box, F = ?

Using the equation of force,

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:** A football of mass 450 gm is accelerating at the rate of 20 m/s^{2}. How much force is acting on a football?

Solution:

Given data:

Mass of a football, m = 450 gm = 0.45 kg

Acceleration of a football, a = 20 m/s^{2}

Force acting on a football, F = ?

Using the equation of force,

F = m × a

F = 0.45 × 20

F = 9 N

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

**Problem 3:** Calculate the value of force acting on a 2 kg bowling ball, which is accelerating further at the rate of 18 m/s^{2}.

Solution:

Given data:

Mass of a bowling ball, m = 2 kg

Acceleration of a bowling ball, a = 18 m/s^{2}

Force acting on a bowling ball, F = ?

Using the equation of force,

F = m × a

F = 2 × 18

F = 36 N

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

**Problem 4:** When a rubber tyre of mass 1 kg accelerates further at the rate of 6 m/s^{2}, there is some force acting on it. What is the value of force acting on a rubber tyre?

Solution:

Given data:

Mass of a rubber tyre, m = 1 kg

Acceleration of a rubber tyre, a = 6 m/s^{2}

Force acting on a rubber tyre, F = ?

Using the equation of force,

F = m × a

F = 1 × 6

F = 6 N

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

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**Related:**

- 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

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