Question

A total of 8.0 joules of work is done when a constant horizontal force of 2.0 newtons to the left is used to push a 3.0-kilogram box acrossa counter top. Determine the total horizontal distance the box moves.

Answer 1

4 meters

Step-by-step explanation

Given:

• Work = 8.0 J

,

• Force = 2.0 N

,

• Mass of the box = 3.0 kg

Unknown:

• Distance the box moves

Work is the product of the applied force in the direction of motion and the distance an object moves,

`W=F\cdot d`

In this case, a box is pushed horizontally with a force of 2N producing a work of 8J. Solve the equation above for d,

`d=(W)/(N)=(8.0J)/(2.0N)=4m`

Hence, the horizontal distance the box moves is 4 meters.