Answer :
Final answer:
To find out the height the boy would be raised using the given amount of energy, we use the gravitational potential energy formula G.P.E. = mgh. By rearranging and solving for h with the provided values, we establish that the boy would be raised to a height of 100 meters above the ground.
Explanation:
The question is asking to calculate the height a boy would be raised given a certain amount of energy expended in lifting him against the force of gravity. The energy, also known as the gravitational potential energy (G.P.E.), is calculated using the formula:
G.P.E. = mgh
where:
- m is the mass of the object being lifted (in kg)
- g is the acceleration due to gravity (in m/s²)
- h is the height above the ground (in m)
Given the energy value of 196×10² joules and the gravitational acceleration of 9.8 m/s², we can rearrange the formula to solve for the height h:
h = G.P.E. / (mg)
By plugging in the values we get:
h = (196×10² J) / (20 kg × 9.8 m/s²)
h = 19600 J / 196 N
h = 100 m
Therefore, the boy would be raised to a height of 100 meters above the ground.