(a) Explanation Given information: The initial velocity ( v 0 ) of ball A before impact is 5 m / s . The velocity ( v C ) of ball C after impact is 3.2 m / s . The distance from corner point of the table to hitting point is 1.22 m . Calculation: Calculate the velocity ( v A ) 0 of ball A before impact. ( v A ) 0 = v 0 i (1) Substitute 5 m / s for v 0 in Equation (1). ( v A ) 0 = 5 i Since the ball at B is initially at rest, the velocity of ball B before impact is, ( v B ) 0 = 0 Since the ball at C is initially at rest, the velocity of ball C before impact is, ( v C ) 0 = 0 Calculate the velocity of ball A after impact using the relation: ( v A ) = − v A j Calculate the velocity of ball B after impact using the relation: v B = ( v B ) x i + ( v B ) y j Here, ( v B ) x is velocity of ball B along x direction and ( v B ) y velocity of ball B along y direction. Calculate the velocity of ball C after impact using the relation: ( v C ) = v c i (2) Substitute 3.2 m / s for ( v c ) in Equation (2). ( v C ) = 3.2 i According to the linear momentum is conserved. v 0 = v A + v B + v C (3) Here, v A is velocity of ball A after impact, v B is velocity of ball B after impact, and velocity of ball C after impact. Substitute 5 i for v 0 i , − v A j for v A , ( v B ) x i+ ( v B ) y j for v B , and 3.2 i for v C in Equation (3). 5 i = − v A j + ( v B ) x i + ( v B ) y j + 3.2 i Write i components vectors as follows: 5 = 0 + ( v B ) x + 3.2 ( v B ) x = 1 (b) To determine Find the hitting point A ′ by ball A on side of the table.

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ISBN: 9781259633133

Author: BEER

Publisher: MCG

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Chapter 14.2, Problem 14.52P

(a)

To determine

Find the velocities of ball A and B.

(b)

To determine

Find the hitting point A′ by ball A on side of the table.

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Chapter 14.2, Problem 14.51P

Chapter 14.2, Problem 14.53P

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Find the velocities of ball A and B .

Solution Summary: The author calculates the velocities of ball A and B using the relation: (v_A) = 5m