Problem 1: A skier of mass 70 kg if pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 60 m up a 30 degree slope (frictionless) at a constant speed of 2 m/s? (b) What power must a motor have to perform this task?

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PHYS 111 W24: Tutorial Quiz #6
Problem 1: A skier of mass 70 kg if pulled up a slope by a motor-driven cable. (a) How much work is
required to pull him 60 m up a 30 degree slope (frictionless) at a constant speed of 2 m/s? (b)
What power must a motor have to perform this task?
Problem 2: Three ice skaters meet at the center of a rink and each stands at rest facing the
center, within arm's reach of the other two. On a signal, each skater pushes themselves away from
the other two across the frictionless ice. After the push, Skater A with mass 80 kg moves in the
negative y-direction at 3.5 m/s and skater B with mass 75 kg moves in the negative x-direction at
4 m/s. Find the x- and y-components of the 90 kg Skater C's velocity after the push. Assume a
birds-eye view of the situation for your coordinates.
Transcribed Image Text:PHYS 111 W24: Tutorial Quiz #6 Problem 1: A skier of mass 70 kg if pulled up a slope by a motor-driven cable. (a) How much work is required to pull him 60 m up a 30 degree slope (frictionless) at a constant speed of 2 m/s? (b) What power must a motor have to perform this task? Problem 2: Three ice skaters meet at the center of a rink and each stands at rest facing the center, within arm's reach of the other two. On a signal, each skater pushes themselves away from the other two across the frictionless ice. After the push, Skater A with mass 80 kg moves in the negative y-direction at 3.5 m/s and skater B with mass 75 kg moves in the negative x-direction at 4 m/s. Find the x- and y-components of the 90 kg Skater C's velocity after the push. Assume a birds-eye view of the situation for your coordinates.
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