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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?


Sagot :

Answer:

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

Step-by-step 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