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 800N , Jane's weight is 550N , and that of the sleigh is 950N . 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 5.10m/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).

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

Explanation / Answer

Here , we will use conservation of momentum in horizontal direction ,

let sleigh velocity is v

and taking right as Positive direction,

-800*5.1*cos(30) + 550*7*cos(36.9) + 950*v = 0

now , solving for v

v = 0.48 m/s

the velocity of sleigh is 0.48 m/s to the right.

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