Chuck and jackie stand on separate carts, both of which can slide without friction. the combined mass of chuck and his cart, mcart, is identical to the combined mass of jackie and her cart. initially, chuck and jackie and their carts are at rest. chuck then picks up a ball of mass mball and throws it to jackie, who catches it. assume that the ball travels in a straight line parallel to the ground (ignore the effect of gravity). after chuck throws the ball, his speed relative to the ground is vc. the speed of the thrown ball relative to the ground is vb. jackie catches the ball when it reaches her, and she and her cart begin to move. jackie's speed relative to the ground after she catches the ball is vj. when answering the questions in this problem, keep the following in mind: the original mass mcart of chuck and his cart does not include the mass of the ball. the speed of an object is the magnitude of its velocity. an object's speed will always be a nonnegative quantity. 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.

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While studying chemical reactions and conservation of matter, sarah's class conducted a variety of experiments. sarah and her lab partner found the mass of a wax candle and placed the candle in a flask. the students lit the candle and let it burn to completion. all that was left was wax and charred candle wick. per their teacher's instructions, the students found the mass of the products. their data can be seen in the data table. formulate a hypothesis the students could test to explain why the experiment did not support the law of conservation of matter. a) the students could repeat the experiment using different candles; there might have been a flaw in the candle. b) the experiment should be repeatable. the students should run several trials and then take an average of the after mass in each trial. c) the students should have someone in the class check their measurement skills as they repeat the experiment. they may have made an error using the balance. d) the students should burn the candle in a container that has some type of lid so that any gas that is a product of the reaction can be contained and massed. submit

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