Question

9.

An object accelerates. 5.0 m/s2 when a force of 20.0 newtons is applied to it.
What is the mass of the object?

Answer 1

m = 4.00 kg

General Formulas and Concepts:

Math

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Physics

Newton's Law of Motions

1. Newton's 1st Law of Motion: An object at rest remains at rest and an object in motion stays in motion
2. Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration)
3. Newton's 3rd Law of Motion: For every action, there is an equal and opposite reaction

Explanation:

Step 1: Define

[Given] F = 20.0 N

[Given] a = 5.0 m/s²

[Solve] Mass m

Step 2: Solve for m

1. Substitute in variables [Newton's 2nd Law of Motion]: 20.0 N = m(5.0 m/s²)
2. [Division Property of Equality] Divide 5.0 on both sides: 4.00 kg = m
3. Rewrite: m = 4.00 kg