**Applied force **(F_{a}) is equal to **mass **(m) times **acceleration **(a). Using the formula of applied force: **F**_{a}** = m × a**, the value of force applied on an object can be calculated.

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

## Applied Force Problems

**Problem 1:** A bowling ball of mass 2 kg is accelerating forward at the rate of 20 m/s^{2}. Calculate the force applied on a bowling ball.

Solution:

Given data:

Mass of a bowling ball, m = 2 kg

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

Force applied on a bowling ball, F_{a} = ?

Using the formula of applied force,

F_{a} = m × a

F_{a} = 2 × 20

F_{a} = 40 N

Therefore, the force applied on a bowling ball is **40 N**.

**Problem 2:** Find the value of force applied on a 5 kg trolley, in order to make it accelerate forward at the rate of 10 m/s^{2}.

Solution:

Given data:

Mass of a trolley, m = 5 kg

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

Force applied on a trolley, F_{a} = ?

Using the formula of applied force,

F_{a} = m × a

F_{a} = 5 × 10

F_{a} = 50 N

Therefore, the force applied on a trolley is **50 N**.

**Problem 3:** When a toy car of mass 1 kg accelerates further at the rate of 12 m/s^{2}, there is some force applied on it. What is the value of force applied on a toy car?

Solution:

Given data:

Mass of a toy car, m = 1 kg

Acceleration of a toy car, a = 12 m/s^{2}

Force applied on a toy car, F_{a} = ?

Using the formula of applied force,

F_{a} = m × a

F_{a} = 1 × 12

F_{a} = 12 N

Therefore, the force applied on a toy car is **12 N**.

**Problem 4:** Calculate the value of force applied on a 4 kg wooden block, which is accelerating further at the rate of 36 m/s^{2}.

Solution:

Given data:

Mass of a wooden block, m = 4 kg

Acceleration of a wooden block, a = 36 m/s^{2}

Force applied on a wooden block, F_{a} = ?

Using the formula of applied force,

F_{a} = m × a

F_{a} = 4 × 36

F_{a} = 144 N

Therefore, the force applied on a wooden block is **144 N**.

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**Related:**

- Force Equation
- Normal Force Equation
- Net Force Formula
- Magnetic Force Equation
- Centripetal Force Equation
- Centrifugal Force Equation
- Spring Force Equation
- Tension Force Formula
- Electric Force Equation

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