Newton's Second Law Physics Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
A 10ย kg10 \text{ kg} cart is pushed with a net force of 50ย N50 \text{ N}. What is the acceleration of the cart?

Solution

  1. 1
    Write Newton's second law: Fnet=maF_{\text{net}} = ma, where FnetF_{\text{net}} is net force, mm is mass, and aa is acceleration.
  2. 2
    Rearrange to solve for acceleration: a=Fnetma = \frac{F_{\text{net}}}{m}
  3. 3
    Substitute the given values: a=5010=5ย m/s2a = \frac{50}{10} = 5 \text{ m/s}^2

Answer

a=5ย m/s2a = 5 \text{ m/s}^2
Newton's second law quantifies the relationship between net force, mass, and acceleration. Greater force produces greater acceleration for the same mass.

About Newton's Second Law

The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass, with the acceleration pointing.

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