Explanation Since the object starts from rest, the initial velocity of the object is zero. The gravitational force acting on the object acts in vertically downward direction only. So the net force in the X-direction is the component of the other force only and the net force in the Y-direction is the component of the other force and the gravitational force acting on object. Write the expression for the displacement of the object from newton’s equation of motion in X-direction as. S x = u x t + 1 2 a x t 2 Here, S x is the displacement in X-direction, u x is the initial velocity of object, t is the time taken and a x is the acceleration of the object in X-direction. Substitute 0 m/s for u x in the above expression S x = ( 0 m/s ) t + 1 2 a x t 2 Rearrange the above equation for the acceleration of the object as. a x = 2 S x t 2 (I) Write the expression for the force acting on the objectin X-directionas. F x = m a x (II) Here, F x is the net force acting on the object in X-direction and m is the mass of the object. Write the expression for the displacement of the object from newton’s equation of motion in Y-direction as. S y = u y t + 1 2 a y t 2 Here, S y is the displacement in Y-direction, u y is the initial velocity of object, t is the time taken and a y is the acceleration of the object in Y-direction Substitute 0 m/s for u y in the above expression S y = ( 0 m/s ) t + 1 2 a y t 2 Rearrange the above equation for the acceleration of the object as. a y = 2 S y t 2 (III) Write the expression for the net acceleration in the Y-direction as. a y = ( a + g ) (IV) Here, a is the acceleration due to the other force and g is the acceleration due to gravity in the vertical direction. Write the expression for the force acting on the object in X-direction as. F y = m a (V) Here, F y is the net force acting on the object in Y-direction, m is the mass of the object

Physics for Scientists and Engineers With Modern Physics

9th Edition

ISBN: 9781133953982

Author: SERWAY, Raymond A./

Publisher: Cengage Learning

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Chapter 5, Problem 12P

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The other force acting on the object.

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Physics for Scientists and Engineers With Modern Physics

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The other force acting on the object.

Solution Summary: The author explains that the gravitational force acting on the object acts in vertically downward direction only, so the net force in the X-direction is the component of the other force only.

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Chapter 5 Solutions