Explanation Given information: The maximum height where the ball rises from earth ( h e ) is 60 m . The acceleration of gravity on the moon is 0.165 times that on earth. Calculation: Show the free body diagram of the ball moving to earth trajectory and moon trajectory as in Figure (1). The expression for calculating the initial kinetic energy ( T 1 ) as follows; T 1 = 1 2 m v 2 The expression for calculating the final kinetic energy ( T 2 ) as follows; T 2 = 1 2 m v H 2 The expression for calculating the work done ( U 1 − 2 ) e on earth as follows; ( U 1 − 2 ) e = − m g e h e The expression for calculating the work done ( U 1 − 2 ) m on moon as follows; ( U 1 − 2 ) m = − m g e h m Use work and energy principle which states that kinetic energy of the particle at a displaced point can be obtained by adding the initial kinetic energy and the work done on the particle during its displacement. The expression for the principle of work and energy for the earth is as follows; T 1 + U 1 − 2 = T 2 Substitute 1 2 m v 2 for T 1 , − m g e h e for ( U 1 − 2 ) e , and 1 2 m v H 2 for T 2

Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9781259639272

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 13.1, Problem 13.38P

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Find the height (hm) of same golf ball travel on the moon.

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Chapter 13.1, Problem 13.37P

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Connect 1 Semester Access Card for Vector Mechanics for Engineers: Statics and Dynamics

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Find the height ( h m ) of same golf ball travel on the moon.

Solution Summary: The author shows the free body diagram of the ball moving to earth trajectory and moon trajectory as in Figure (1).

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