Answer: An object of mass m is suspended from the top of a

Chapter 5, Problem 5.3.88

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An object of mass m is suspended from the top of a cart by a string of length L as in Figure P5.88a. The cart and object are initially moving to the right at a constant speed v0. The cart comes to rest after colliding and sticking to a bumper, as in Figure P5.88b, and the suspended object swings through an angle u. (a) Show that the initial speed is v0 5 !2gL11 2 cos u 2. (b) If L 5 1.20 m and u 5 35.0, find the initial speed of the cart. (Hint: The force exerted by the string on the object does no work on the object.)

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