A 0.25-kg stone is held 1.4 m above the top edge of a water well and then droppe

Question

A 0.25-kg stone is held 1.4 m above the top edge of a water well and then dropped into it. The well has a depth of 4.9 m. Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system before the stone is released? Taking y = 0 at the top edge of the well, what is the gravitational potential energy of the stone-Earth system when it reaches the bottom of the well? What is the change in gravitational potential energy of the system from release to reaching the bottom of the well? A dared on a motorcycle leaves the end of a ramp with a speed of 36.7 m/s as in the figure below. If his speed is 34.2 m/s when he reaches the peak of the path. maximum height that he reaches? Ignore friction and air resistance. m

Explanation / Answer

a) u1 = 0.25*9.8*1.4 = 3.43 J

b) u2 = 0.25*9.8*-4.9 = -12.005 J

c) change = u2-u1 = -15.435 J

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