# Applied force formula

The applied force formula, represented by Fa, relates to the relationship between mass (m) and acceleration (a). It states that the applied force is equal to the product of the mass and acceleration of an object. By utilizing the formula Fa = m × a, it becomes possible to accurately calculate the magnitude of the force being applied to the object.

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## Practice problems

### Problem #1

A bowling ball with a mass of 2 kg is accelerating forward at a rate of 20 m/s2. Calculate the applied force on the 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 = ?

Applying the formula:

• Fa = m × a
• Fa = 2 × 20
• Fa = 40 N

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

### Problem #2

Determine the force applied to a 5 kg trolley in order to make it accelerate forward at a rate of 10 m/s2.

Solution

Given data:

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

Applying the formula:

• Fa = m × a
• Fa = 5 × 10
• Fa = 50 N

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

### Problem #3

What is the value of the force applied to a toy car with a mass of 1 kg, which is accelerating at a rate of 12 m/s2?

Solution

Given data:

• Force applied on a toy car, Fa = ?
• Mass of a toy car, m = 1 kg
• Acceleration of a toy car, a = 12 m/s2

Applying the formula:

• Fa = m × a
• Fa = 1 × 12
• Fa = 12 N

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

### Problem #4

Calculate the force applied to a 4 kg wooden block that is accelerating further at a rate of 36 m/s2.

Solution

Given data:

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

Applying the formula:

• Fa = m × a
• Fa = 4 × 36
• Fa = 144 N

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