A crane lifts a container 48 m vertically upwards. The mass of the container is 30 000 kg.Calculate the energy transferred to the gravitational potential energy stored in the container.
Question
A crane lifts a container 48 m vertically upwards. The mass of the container is 30 000 kg.Calculate the energy transferred to the gravitational potential energy stored in the container.
Solution
To calculate the gravitational potential energy, we can use the formula:
Potential Energy (PE) = mass (m) * gravity (g) * height (h)
Given in the problem, we have:
mass (m) = 30,000 kg height (h) = 48 m gravity (g) = 9.8 m/s² (This is the approximate value of gravity on Earth)
Substituting these values into the formula, we get:
PE = 30,000 kg * 9.8 m/s² * 48 m
PE = 14,112,000 Joules
So, the energy transferred to the gravitational potential energy stored in the container is 14,112,000 Joules.
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