**Update:** This page’s content is moving to a new address in the upcoming months.

The **force equation** states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a). Mathematically represented as F = m × a, this equation is used to calculate the amount of force exerted on an object.

## Practice problems

### Problem #1

Determine the force required to accelerate a 5 kg box at the rate of 10 m/s^{2}.

**Solution**

Given data:

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

Applying the formula:

- 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

What is the force acting on a football with a mass of 450 grams when it is accelerating at a rate of 20 m/s^{2}?

**Solution**

Given data:

- Force acting on a football, F = ?
- Mass of a football, m = 450 gm = 0.45 kg
- Acceleration of a football, a = 20 m/s
^{2}

Applying the formula:

- F = m × a
- F = 0.45 × 20
- F = 9 N

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

### Problem #3

Calculate the force acting on a 2 kg bowling ball that is experiencing an acceleration of 18 m/s^{2}.

**Solution**

Given data:

- Force acting on a bowling ball, F = ?
- Mass of a bowling ball, m = 2 kg
- Acceleration of a bowling ball, a = 18 m/s
^{2}

Applying the formula:

- F = m × a
- F = 2 × 18
- F = 36 N

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

### Problem #4

If a rubber tire with a mass of 1 kg accelerates at a rate of 6 m/s^{2}, what is the magnitude of the force acting on it?

**Solution**

Given data:

- Mass of a rubber tire, m = 1 kg
- Acceleration of a rubber tire, a = 6 m/s
^{2} - Force acting on a rubber tire, F = ?

Applying the formula:

- F = m × a
- F = 1 × 6
- F = 6 N

Therefore, the value of force acting on a rubber tire is **6 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

- Force Calculator | How to Find Force? – Omni Calculator
- Force Calculator F = ma – Calculator Soup
- How to Calculate Force: 6 Steps (with Pictures) – wikiHow
- Definition, Types & Formula – Force – Study.com
- Force, mass and acceleration – ScienceDirect
- Newton’s Second Law of Motion – The Physics Classroom
- Calculating Acceleration from Force and Mass – CK-12
- Force – Wikipedia
- Force, Mass, Acceleration – Zona Land Education
- Force – The Engineering ToolBox
- Motion – force and acceleration (F=ma) – Dynamic Science
- Formula for Force – Science Struck
- How to Calculate Force – Sciencing
- Force Calculator + Formula – Calculator Academy
- Force Calculator | Force formula – CalcTool

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.