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

Answer:

7.5 N

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.

$\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}$

Solving for F₂.

$F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{5\times 3}{2}\\\\F_2=7.5\ N$

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