15-82 - 1582 The 20-lb box slides on the surface for which mk = 0.3 The box has a velocity v = 15 ft> s when it is 2 ft from the plate If it strikes the

15-82 - 1582 The 20-lb box slides on the surface for which...

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15–82. The 20-lb box slides on the surface for which The box has a velocity when it is 2 ft from the plate. If it strikes the smooth plate, which has a weight of 10 lb and is held in position by an unstretched spring of stiffness determine the maximum compression imparted to the spring. Take between the box and the plate.Assume that the plate slides smoothly. e = 0.8 k = 400 lb > ft, v = 15 ft > s m k = 0.3. SOLUTION S olving, A n s . s = 0.456 ft 1 2 a 10 32.2 b (16.38) 2 + = + 1 2 (400)( s ) 2 T 1 + V 1 = T 2 + V 2 v P = 16.38 ft > s, v A = 5.46 ft > s 0.8 = v P - v A 13.65 e = ( v B ) 2 - ( v A ) 2 ( v A ) 1 - ( v B ) 1 a 20 32.2 b (13.65) = a 20 32.2 b v A + 10 32.2 v B ( : + ) a m v 1 = a m v 2 v 2 = 13.65 ft > s 1 2 a 20 32.2 b (15) 2 - (0.3)(20)(2) = 1 2 a 20 32.2 b ( v 2 ) 2 T 1 + a U 1 - 2 = T 2 v 15 ft / s k 2 ft

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