A sphere is released from rest on a no-slip surface, as shown in the figure (the left side). After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown on the right side figure. When the ball reached its maximum height on the frictionless surface, it is It is impossible to tell without knowing the radius and mass of the ball. at the same height as when it was released on the left side. at a lesser height than when it was released on the left side. at a greater height than when it was released on the left side.
Question
A sphere is released from rest on a no-slip surface, as shown in the figure (the left side). After reaching its lowest point, the ball begins to rise again, this time on a frictionless surface as shown on the right side figure. When the ball reached its maximum height on the frictionless surface, it is It is impossible to tell without knowing the radius and mass of the ball. at the same height as when it was released on the left side. at a lesser height than when it was released on the left side. at a greater height than when it was released on the left side.
Solution
The sphere will reach the same height as when it was released on the left side. This is due to the principle of conservation of energy. When the sphere is released, it has potential energy that is converted into kinetic energy as it rolls down. When it starts to rise on the frictionless surface, this kinetic energy is converted back into potential energy. Since there is no energy loss (as it is a frictionless surface), the sphere will rise to the same height as the initial height.
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