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In Fig. 11-37, a small, solid, uniform ball is to be shot
Chapter , Problem 14(choose chapter or problem)
In Fig. 11-37, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 ! 5.00 cm and h2 ! 1.60 cm. With what speed must the ball be shot at point P for it to land at d ! 6.00 cm?
Questions & Answers
QUESTION:
In Fig. 11-37, a small, solid, uniform ball is to be shot from point P so that it rolls smoothly along a horizontal path, up along a ramp, and onto a plateau. Then it leaves the plateau horizontally to land on a game board, at a horizontal distance d from the right edge of the plateau. The vertical heights are h1 ! 5.00 cm and h2 ! 1.60 cm. With what speed must the ball be shot at point P for it to land at d ! 6.00 cm?
ANSWER:Step 1 of 3
Given that
The horizontal distance is away from the right edge of the plateau.
The vertical heights are and .
From conservation of mechanical energy of the system, the total kinetic energy at point equals the total mechanical energy at the right edge of the plateau.
The rotational inertia of a solid sphere is given by