A skateboard of mass m rests on the top of a hemispheric dome of radius R. After giving theskateboard a small kick, imparting an initial speed of vo, it begins rolling down the dome.Let the angle 0 indicate the location of the skateboard as it rolls down the surface of thedome.R1. Eventually, the skateboard will lose contact with the dome. Given m, R, vo, and g, findthe angle 0. at which the skateboard loses contact. Express your answer symbolically(i.e. without numbers).Check your work. Suppose you choose m = 1.5 kg, vo =g = 9.81 m/s. In this case, your answer should evaluate to 0. = 34.2°.4.5 m/s, R = 4.3 m, and2. Given m, R, and g, determine the range of speeds for which it is impossible to remainin contact with the wall at all.

Let the point at which the board leaves the hemisphere be, According to energy conservation,…

Answered: A skateboard of mass m rests on the top…

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