Question

A student pushes a 500kg car with a force of 300n. how fast will the car be moving after 10 seconds?

Answer 1

`6(m)/(s)`

Step-by-step explanation:

First, find the acceleration that the given force imparts to the given mass. According to Newton's second law, force is equal to mass (in kg) times acceleration (in
`(m)/(s^2)`) (F=ma). For this problem, let

F=300 N

m=500 kg

and rewrite the equation to solve for acceleration:

`a=(300\ N)/(500\ kg)\\a=0.6(m)/(s^2)`

Next, use the first kinematic equation to find the final velocity,
`v_f=v_i+at`. Assuming the car starts from rest, for this problem, let

`v_i=0.0(m)/(s)\\a=0.6(m)/(s^2)\\t=10\ s`

So,

`v_f=0.0(m)/(s)+(0.6(m)/(s^2))(10s)\\v_f=6(m)/(s)`