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

ID: 1323003 • Letter: J

Question

Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan's weight is 900N , Jane's weight is 600N , and that of the sleigh is 800N . 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 6.50m/s at 36.9? above the horizontal (relative to the ice).Calculate the magnitude of the sleigh's horizontal velocity after they jump out

Explanation / Answer

Conserve Momentum
Mt = 900 + 600 + 1000 = 2500
Mom jon = 900* -5.4 cos 30 =Mom Jane = 600 * 6.5 * cos 36.90 = -4208 + 3118 + mom sled
Mom sled = 1252 = 1090 * Vsled
Vsled = 1.148 m/s to the right