A child and sled with a combined mass of 48.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.50 m/s at the bottom, what is the height of the hill?
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- A 46.0-kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 225 N. For the first 11.0 m the floor is frictionless, and for the next 10.0 m the coefficient of friction is 0.20. What is the final speed of the crate after being pulled these 21.0 m?Question 21PHYS 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.
- A 1 kg box is sliding with a speed of 2 m/s on a horizontal surface at x=0 m. The friction force is a function of the x coordinate which is 0.25N+0.040 x N/m. Use the work energy theorem to find how far this box slides before stopping. What is the coefficient of kinetic friction just before the box stops?A skier starts from rest at the top of a hill that is inclined 9.50° with respect to the horizontal. The hill slide is 1.50x102 m long and the coefficient of friction between snow and skies is 0.0800.What is the speed of the skier at the bottom of the hill?A sled, of mass 18.6 kg, is stationary when it starts to slide down an icy hill. The hill is 13.0 m tall. Assuming friction is minimal, what is the speed of the sled at the bottom of the hill? Give your answer in m/s to 1 decimal place.
- How much work must you do to push a 12 kg block of steel across a steel table at a steady speed of 1.3 m/s for 7.7 s ? The coefficient of kinetic friction for steel on steel is 0.60. Express your answer in Jules. What is your power output while doing so? Express your answer in watts.At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6.25 x 10³ J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.A child and sled with a combined mass of 32.6 kg slide down a frictionless hill, starting at the top. The sled starts from rest and acquires a speed of 6.69 m/s by the time it reaches the bottom of the hill. What is the height (in m) of the hill? Answer: m (round to the nearest hundredth)
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