A crane machine with a metal hook has a weight of 25 N at 30 meters high. What is the potential energy (J) of the machine? (ENTER THE NUMERICAL VALUE ONLY)

1 answer

The potential energy (PE) of an object is given by the formula:

PE = mgh

where:
m = mass
g = acceleration due to gravity
h = height

In this case, we are given the weight (w) of the machine, which is equal to the force of gravity acting on it. The weight is given by the formula:

w = mg

Solving for the mass (m) gives us:

m = w / g

Substituting this into the formula for potential energy gives:

PE = (w / g) * g * h
= w * h

Given that the weight of the machine (w) is 25 N and the height (h) is 30 meters, we can calculate the potential energy (PE) as:

PE = 25 N * 30 m
PE = 750 Nm (Joules)

Therefore, the potential energy of the machine is 750 Joules.