Question

A man has a strange ability to jump from any height to another with ease. The man jumps to P then to Q, R, S, T and then into water. For which jump will he require the highest energy.

A) Land to P
B) S to T
C) Q to R
D) R to S.

Answer 1

The energy required here is the work done against the gravity. The value of potential energy will determine the energy which is required for jumping. The graph can be seen for the heights of the bar which are beginning to jump.

Formula used: The formula of the potential energy is given by,$E = mgh$. Where E is the potential energy, m is the mass of the man or anybody and h is the change in the height.

Complete step-by-step answer:
In this problem the man is jumping the heights which are represented by the graphs. The work done here is against gravity. The potential energy of the man is given by $E = mgh$ here the value of mass and acceleration due to gravity will not change and remains constant but the value of the height will be different for P, Q, R, S and T.
The height jumped by the man from starting point to P is 25m which is the maximum of all the heights. Therefore the maximum potential energy will be to jump height P. the maximum potential energy will be the highest energy and the answer for this problem. So the correct answer for this problem is the maximum energy required will be to jump height P. The correct option for this problem is option A.

Note: It is advisable to observe the graph carefully. Students should understand and remember the formula of the potential energy as it can be used to find the correct answer for these types of problems. Potential energy will be maximum for maximum change in height.