Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. J

Question

Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan's weight is 850N, Jane's weight is 550N , and that of the sleigh is 850N . They see a poisonous spider on the floor of the sleigh and immediately jump off. Jonathan jumps to the left with a velocity (relative to the ice) of 5.40m/s at 30.0? above the horizontal, and Jane jumps to the right at 7.00m/s at 36.9? above the horizontal (relative to the ice).

A.Calculate the magnitude of the sleigh's horizontal velocity after they jump out.

B. What is the direction of the sleigh's horizontal velocity after they jump out? Right or Left

Please show all work

Explanation / Answer

Conserve Momentum
Mt = 850 + 550 + 850 = 2250
Mom jon = 850* -5.4 cos 30 = - 3974.94
Mom Jane = 550 * 7 * cos 36.9 = 3078.78
0 = -3974.94 + 3078.78 + mom sled
Mom sled = 896.16
Vsled * 1000= mom sled

Vsled * 1000= 896.16

Vsled = 0.8961 m/s to the right

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