The **applied force formula**, represented by F_{a}, 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 F_{a} = m × a, it becomes possible to accurately calculate the magnitude of the force being applied to the object.

## Practice problems

### Problem #1

A bowling ball with a mass of 2 kg is accelerating forward at a rate of 20 m/s^{2}. 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/s
^{2} - Force applied on a bowling ball, F
_{a}= ?

Applying the formula:

- 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

Determine the force applied to a 5 kg trolley in order to make it accelerate forward at a rate of 10 m/s^{2}.

**Solution**

Given data:

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

Applying the formula:

- F
_{a}= m × a - F
_{a}= 5 × 10 - F
_{a}= 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/s^{2}?

**Solution**

Given data:

- Force applied on a toy car, F
_{a}= ? - Mass of a toy car, m = 1 kg
- Acceleration of a toy car, a = 12 m/s
^{2}

Applying the formula:

- 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 force applied to a 4 kg wooden block that is accelerating further at a rate of 36 m/s^{2}.

**Solution**

Given data:

- Force applied on a wooden block, F
_{a}= ? - Mass of a wooden block, m = 4 kg
- Acceleration of a wooden block, a = 36 m/s
^{2}

Applying the formula:

- F
_{a}= m × a - F
_{a}= 4 × 36 - F
_{a}= 144 N

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

## External links

- Applied Force Calculator – Calculator Academy
- What is the formula of applied force? – Quora
- Finding Individual Force Values – The Physics Classroom
- Applied Force in Physics Problems – Dummies
- Force Calculator | How to Find Force? – Omni Calculator
- What is an Applied Force? – AllTheScience
- Applied Force: Definition, Formula, and Examples – Science Facts
- Finding the Net Force: Equation & Examples – Study.com
- Force Calculator F = ma – Calculator Soup
- Force, mass and acceleration – ScienceDirect
- Calculating Acceleration from Force and Mass – CK-12
- Forces applied at an angle (Mechanics) – Newcastle University
- How to Calculate Force: 6 Steps (with Pictures) – wikiHow
- Applied Force by Ron Kurtus – Physics Lessons – School for Champions
- Force, Mass, Acceleration – Zona Land Education

Deep

Learnool.com was founded by Deep Rana, who is a mechanical engineer by profession and a blogger by passion. He has a good conceptual knowledge on different educational topics and he provides the same on this website. He loves to learn something new everyday and believes that the best utilization of free time is developing a new skill.