Explanation Given: The angle of projection is 53 ° . The maximum attained by stone is 24 m . Formula used: Mechanical energy of stone is conserved at all points. Work done by external force is equal to the sum of change in gravitational potential energy and kinetic energy. Write the expression of work done by external force. W external = Δ U + Δ K ........(1) Here, Δ U is the change in potential energy, Δ K is the change in kinetic energy and W external is the work done by external force. Write the expression for change in potential energy and simplify. Δ U = U f − U i = m g h f − m g h i = m g ( h − 0 ) = m g h Here, m is mass of stone, g is gravitational acceleration, h i is initial height and h f is final height of stone. The vertical component of object’s speeddecreases to zero at maximum height when the object is projected upwards at an angle with the horizontal. The speed of object at maximum height is equal to v 0 cos θ which is the horizontal component of speed. Write the expression for change in kinetic energy and simplify. Δ K = 1 2 m ( v f 2 − v i 2 ) = 1 2 m [ ( v 0 cos θ ) 2 − v 0 2 ] Here, v 0 is the initial velocity and θ is the angle of projection

Physics for Scientists and Engineers, Vol. 1

6th Edition

ISBN: 9781429201322

Author: Paul A. Tipler, Gene Mosca

Publisher: Macmillan Higher Education

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Chapter 7, Problem 50P

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The initial speed of stone.

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The initial speed of stone.

Solution Summary: The author explains that mechanical energy of stone is conserved at all points. Work done by external force is equal to change in gravitational potential energy and kinetic energy.

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