Question

Jonathan and Jane are sitting in a sleigh that is at rest on frictionless ice. Jonathan's weight is 800 N, Jane's weight is 600 N, and that of the sleigh is 1000 N. 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 5.00 m/s at 30.0∘ above the horizontal, and Jane jumps to the right at 7.00 m/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.

Answer 1

use conservation of momentum in horizontal direction

let sleigh velocity is v and taking right as Positive direction,

-800*5*cos(30) + 600*7*cos(36.9) + 1000*v = 0

now , solving for v

v = 0.105 m/s is the velocity of sleigh to the