Question

A child pushes a toy car with a force of 5 N which causes it to accelerate at a rate of 2.0 m/s2. What force would be required to accelerate the toy car at 3.0 m/s2?

Answer 1

7.5 N

Step-by-step explanation:

For is given by :

F = ma

Where

m is mass of an object and is its acceleration

When force is 5 N, its acceleration is 2 m/s². We need to find the force required to to accelerate the toy car at 3.0 m/s².

`(F_1)/(F_2)=(a_1)/(a_2)`

Solving for F₂.

`F_2=(F_1a_2)/(a_1)\\\\F_2=(5* 3)/(2)\\\\F_2=7.5\ N`

So, it would require 7.5 N of force to accelerate the toy car at 3.0 m/s².