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)
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.
To calculate the potential energy of the machine, we can use the formula:
Potential Energy = mass x gravitational acceleration x height
Since we have the weight (mass x gravitational acceleration), we can use it to calculate the potential energy. The weight is given as 25 N, and the height is 30 meters. The gravitational acceleration on Earth is approximately 9.8 m/s^2.
Potential Energy = 25 N x 9.8 m/s^2 x 30 m
Calculating this equation, we get:
Potential Energy = 7350 Joules
Therefore, the potential energy of the crane machine is 7350 Joules.