Question

Madison pushes with a 210-N horizontal force on a 24-kg crate of coffee resting on a warehouse floor. The force of friction on the crate is 74 N. What is the acceleration?

Answer 1

5.7 m/s^2

Step-by-step explanation:

First of all, we need to calculate the resultant force on the crate. We have:

- A force of +210 N in the positive direction

- The frictional force of -74 N in the opposite direction

So, the resultant force is

F = 210 N - 74 N= 136 N

So now we can apply Newton's second law to find the acceleration:

`F=ma`

where m=24 kg is the mass of the crate. Re-arranging the equation, we get:

`a=(F)/(m)=(136 N)/(24 kg)=5.7 m/s^2`