Question

For how long should a force of 130.0N be applied to an object of mass 50.0kg to change its speed from 20.0m/s to 60.0m/s?

Answer 1

Given

Force 130 N

m = 50 kg

v1 = 20 m/s

v2 = 60m/s

t = ?

Procedure

First, let's calculate the acceleration of the object.

`\begin{gathered} F=ma \\ a=(F)/(m) \\ a=(130N)/(50kg) \\ a=2.6\text{ m/s}^2 \end{gathered}`

Now let's calculate the time

`\begin{gathered} t=(v_2-v_1)/(a) \\ t=(60-20)/(2.6) \\ t=15.38\text{ s} \end{gathered}`

The answer would be 15.38s