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A 1.00 g grasshopper and a 0.100 g cricket leap vertically into the air with the

ID: 2004613 • Letter: A

Question

A 1.00 g grasshopper and a 0.100 g cricket leap vertically into the air with the same initial speed in the absence of air drag.

Which of the following statements must be true? (More than one statement may be true.)
A. The grasshopper goes 10 times as high as the cricket.
B. Both will reach the same height.
C. At the highest point, both will have the same amount of gravitational potential energy relative to the ground.
D. At the highest point, the gravitational potential energy for the grasshopper will be 10 times as great as that for the cricket.
E. The grasshopper and the cricket have the same initial kinetic energy.

A, C
B, D
B, E
C, E
D, E


Explanation / Answer

Since maximum height is independent of mass of the object both of them attain same height so option choice B is correct since the height is same for both of them and mass of grasshooper is 10 times that of the cricket leap the potential energy of grasshooper is 10 times greater than that of the cricket leaf So option choice D is correct