Two identical grasshoppers jump into the air with the same initial speed and experience no air resistance. Grasshopper A goes straight up, but grasshopper B goes up at a 66° angle above the
Horizontal. Which of the following statements about these grasshoppers are correct? (There could
Be more than one correct choice.)
A) At their highest point, both of them have the same amount of gravitational potential energy.
B) At their highest point, both of them have the same amount of mechanical energy.
C) At their highest point, grasshopper A has more gravitational potential energy than grasshopper B.
D) At their highest point, both of them have the same amount of kinetic energy.
E) At their highest point, grasshopper B is moving faster than grasshopper A.

Question

Quizplus · Accepted Answer

Grasshopper A reaches a higher vertical height than grasshopper B, so it has more gravitational potential energy at the highest point. Both grasshoppers have the same mechanical energy since they started with the same initial speed and there is no air resistance. Grasshopper B has horizontal velocity at the highest point, so it is moving faster than grasshopper A, which has zero velocity at its highest point.

Two Identical Grasshoppers Jump into the Air with the Same