Question

1500 Joules of work are done lifting a 500 N weight. How high was the weight raised as a result of this work ?

Answer 1

Using the work-energy principle, the 500 N weight was raised to a height of 3 meters with 1500 Joules of work done.

Step-by-step explanation:

To determine how high the 500 N weight was raised using 1500 Joules of work, we can use the work-energy principle, which states that work done (W) is equal to the change in potential energy (PE).

The formula for work when lifting an object vertically is:

W = F × d, where:

W is the work done in joules (J),

F is the force in newtons (N),

d is the distance in meters (m).

Here, we are given that a 500 N weight is lifted, and we have the amount of work 1500 J. We can rearrange the formula to solve for distance (d):

d = W / F

Substituting the given values, we get:

d = 1500 J / 500 N = 3 meters

Therefore, the weight was raised up to 3 meters high as a result of the 1500 J of work.

Answer 2

Work in general = (force) x (distance)

Work to lift a weight = (weight of the weight) x (distance lifted)

1500 J = (500 N) x (height)

Divide each side by 500 N :

Height = (1500 J) / (500 N)

Height = 3 meters