An average froghopper insect, the \"world\'s greatest leaper\", is about 6 mm (0

Question

An average froghopper insect, the "world's greatest leaper", is about 6 mm (0.2 inches) long and has a mass of 12.3 mg. Its highest jumps reach 70 cm (27 inches). Two froghoppers sitting on the ground aim at the same leaf, located 35 cm above the ground. Froghopper A jumps straight up while froghopper B jumps at a takeoff angle of 58 degree above the horizontal. Which froghopper experiences the greatest change in kinetic energy from the start of the jump to when it reaches the leaf? froghopper A froghopper B same for both

Explanation / Answer

Change in kinetic energy of froghopper A is equal to the gain in potential energy.

KEA = PEA = mgh (since, h=35cm is the height reached.)

Similarly, Change in kinetic energy of froghopper B is equal to the gain in potential energy.

KEB = PEB = mgh ( since Been also reaches the same height, hence same PE)

Therefore, KEA = KEB

Same for both.

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