Applied Force Formula | Problems (With Solutions)

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Applied Force Formula

Applied force (Fa) is equal to mass (m) times acceleration (a). Using the formula of applied force: Fa = 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/s2. 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/s2
Force applied on a bowling ball, Fa = ?

Using the formula of applied force,
Fa = m × a
Fa = 2 × 20
Fa = 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/s2.

Solution:

Given data:

Mass of a trolley, m = 5 kg
Acceleration of a trolley, a = 10 m/s2
Force applied on a trolley, Fa = ?

Using the formula of applied force,
Fa = m × a
Fa = 5 × 10
Fa = 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/s2, 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/s2
Force applied on a toy car, Fa = ?

Using the formula of applied force,
Fa = m × a
Fa = 1 × 12
Fa = 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/s2.

Solution:

Given data:
Mass of a wooden block, m = 4 kg
Acceleration of a wooden block, a = 36 m/s2
Force applied on a wooden block, Fa = ?

Using the formula of applied force,
Fa = m × a
Fa = 4 × 36
Fa = 144 N

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

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