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(20 points) During the 2012 Great Iditarod sled dog race, 11 dogs in harnesses s

ID: 2189284 • Letter: #

Question

(20 points) During the 2012 Great Iditarod sled dog race, 11 dogs in harnesses start to race pulling a sled with the winning musher, Dallas Seavey, on it. Assume that each dog exerts a backward force of 150 N on the snow as they take off. The mass of the musher is 170 lbs, the mass of the sled is 250 lbs, and the mass of each dog is 55 lbs. If we set the direction of the motion of the dogs to be the +x direction, (a) What are the direction and the magnitude of the reaction force by the snow on the round? (b) What acceleration is produced, assuming the friction between the sled and the snow is negligible? (c) Calculate the force the dogs exert collectively on the sled. (d) Calculate the force the sled exerts on the musher.

Explanation / Answer

The direction of force by snow is in positive x direction
Magnitude of F = 150*11 = 1650 N

total mass = 55*11 + 250+170 = 1025 lbs = 466.375 kg
=> Acceleration = 3.54 m/sec2

Force exerted by dogs on the sledge = 420*.455*3.54 = 676.49 N

Force exerted by sledge on musher = 170*.455*3.54 = 273.82 N