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Benny has four pet gerbils who live in a large cage. Much of their time is spent

ID: 1369505 • Letter: B

Question

Benny has four pet gerbils who live in a large cage. Much of their time is spent running around the cage floor. Benny tracks his gerbils' health diligently and just now recorded their masses as 11.3 g, 11.1 g, 12.1 g, and 19.9 g. At this very instant the x and y components of the gerbils' velocities are, respectively, (0.673 m/s, -0.763 m/s), (-0.423 m/s, -0.713 m/s), (0.571 m/s, 0.887 m/s), and (-0.981 m/s, 0.945 m/s). Calculate the x and y components of Benny's gerbils' total momentum, px and py.

Explanation / Answer


total momentum px = (11.3*0.673)-(11.1*0.423)+(12.1*0.571)-(19.9*0.981)

px = -9.7032 g*m/s = -9.7032*10^-3 kg m/s


py = -(11.3*0.763)-(11.1*0.713)+(12.1*0.887)-(19.9*0.945)

py = -24.609 g*m/s = 24.609*10^-3 kg*m/s

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