Explanation Write the energy conservation principle. K f + U f = K i + U i (I) Here, K f is the final kinetic energy of the ball at the top of the trajectory, U f is the final potential energy of the ball at the top of the trajectory, K i is the initial kinetic energy of the ball, U i is the initial potential energy of the ball. Write the equation for the final kinetic energy of the ball. K f = 1 2 m v f 2 Here, m is the mass of the ball and v f is the velocity of the ball at the top of its trajectory. Write the equation for the final potential energy of the ball. U f = m g y f Here, g is the acceleration due to gravity and y f is the height of the ball at the top of its trajectory. Write the equation for the initial kinetic energy of the ball. K i = 1 2 m v i 2 Here, v i is the initial velocity of the ball. Write the equation for the initial potential energy of the ball. U i = m g y i Here, y i is the initial height of the ball. Put the above four equations in equation (I). 1 2 m v f 2 + m g y f = 1 2 m v i 2 + m g y i g y f = 1 2 v i 2 − 1 2 v f 2 + g y i y f = 1 2 g ( v i 2 − v f 2 ) + y i (II) Find the initial velocity of the ball

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ISBN: 9781119679677

Author: CHABAY

Publisher: WILEY

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Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force betwe…

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Chapter 6.8, Problem 11CP

To determine

The height of the ball at the top of the trajectory.

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