Question

800 joules of work was done lifting a 200 newton box to a shelf directly above the box. How many meters high was the shelf?

Answer 1

The height of the shelf was found by dividing the work done (800 joules) by the force (weight of the box, 200 newtons), resulting in a shelf height of 4 meters.

Step-by-step explanation:

To find how high the shelf was, we need to use the relationship between work done, force, and distance. The work done on an object is equal to the force applied to the object times the distance the object moves in the direction of the force. This can be represented by the formula Work (W) = Force (F) × Distance (h), where h is the height or vertical distance.

In this scenario, the work done (W) is given as 800 joules, and the force (weight of the box, F) is given as 200 newtons. So, we have:

800 J = 200 N × h

To find the height h, we rearrange the formula:

h = 800 J / 200 N

h = 4 meters

Therefore, the height of the shelf was 4 meters.

Answer 2

Height = work done / weight so 800 / 200 = 4 m