A 2-kg cart containing 8 kg of water is initially stationary (Fig. P14.16a). The center of mass of the “object” consisting of the cart and water is at x = 0. The cart is subjected to the time-dependent force shown in Fig. P14.16b, where F0 = 5 N and t0 = 2s. Assume that no water spills out of the cart and that the horizontal forces exerted on the wheels by the floor are negligible.
(a) Do you know the acceleration of the cart during the period 0
t0? (b) Do you know the acceleration of the center of mass of the “object” consisting of the cart and water during the period 0
t0? (c) What is the x coordinate of the center of mass of the “object” when t > 2t0?
(a)
(b)
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