Chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck and his cart, image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck, is identical to the combined mass of jackie and hercart. initially, chuck and jackie and their carts are at rest.
chuck then picks up a ball of mass m_ball and throws it to jackie, who catches it. assume that theball travels in a straight line parallel to the ground (ignore theeffect of gravity). after chuck throws the ball, his speed relativeto the ground is v_c. the speed of the thrown ball relative to the ground isv_b.
jackie catches the ball when it reaches her, and she and hercart begin to move. jackie's speed relative to the ground after shecatches the ball is v_j.
when answering the questions in this problem, keep the followingin mind:
the original mass image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck of chuck and his cart does not include the mass of theball.
the speed of an object is the magnitude of its velocity. anobject's speed will always be a nonnegative quantity.
part a
find the relative speed u between chuck and the ball after chuck has thrown theball.
express the speed in terms ofv_c and v_b.
part b
what is the speed v_b of the ball (relative to the ground) while it is in theair?
express your answer in terms ofm_ball, image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck, and u.
part c
what is chuck's speed v_c (relative to the ground) after he throws theball?
express your answer in terms ofm_ball, image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck, and u.
part d
find jackie's speed v_j (relative to the ground) after she catches theball, in terms of v_b.
express v_j in terms of m_ball, image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck, and v_b.
part e
find jackie's speed v_j (relative to the ground) after she catches theball, in terms of u.
express v_j in terms of m_ball, image for chuck and jackie stand on separate carts, both of which canslide without friction. the combined mass of chuck, and u.
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