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Question 15 (5 points) A wheel of radius R = 2 1n and M = 4 kg (I=MR2;'2) is mounted on a frictionless, horizontal axle.

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Question 15 (5 points) A wheel of radius R = 2 1n and M = 4 kg (I=MR2;'2) is mounted on a frictionless, horizontal axle. A light cord wrapped around the wheel supports a body of mass m = 3 kg. Set up the equations and find the linear acceleration of the suspended body in term of g. Question 16 [5 points) A wheel of radius R = 2 In and M = 4 kg (I=MR2/2) is mounted on a frictionless, horizontal axle. A light cord wrapped around the wheel supports a body of mass m = 3 kg. Set up the equations and nd the tension T in the cord (in terms of mg). Question 17 (6 points) You have two steel (same density) solid spheres. Sphere 2 has 3 times the radius of sphere 1. By what factor does the moment of inertia |2 of sphere 2 exceed the moment of inertia ll of sphere 1 (both I1 and '2 are about a diameter, i.e., 2/5(MR2) J? Question 18 (5 points) A package of mass m is released from rest at a warehouse loading dock and slides down the h m - high, frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 3m, from the bottom of the chute. Suppose the packages stick together. What is their common speed after the collision? H! , O l 3: 0% mm 0W Oranx5 ow Question 19 (6 points) A package of mass m is released from rest at a warehouse loading dock and slides down the h m - high, frictionless chute to a waiting truck. Unfortunately, the truck driver went on a break without having removed the previous package, of mass 3m, from the bottom of the chute. Suppose the collision between the packages is perfectly elastic. To what height does the package of mass m rebound (in terms of h)? 3 m Question 20 (5 points] A mass m is pressed against (but is not attached to) an ideal spring of force constant kand negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops (momentarily) at height h. If this experiment is repeated with a mass of 2m. find the maximum height that the mass will stop momentarily (in terms of h). Smooth Question 21 (5 points] A mass m is pressed against (but is not attached to) an ideal spring of force constant kand negligible mass, compressing the spring a distance x. After it is released, the box slides up a frictionless incline as shown in the figure and eventually stops (momentarily) at the maximum height b. If this experiment is repeated with a distance 2x, find the the maximum height that the mass m will stop momentarily {in terms of h). k m Smooth Question 22 (5 points) The 1 kg box slides along a frictionless surface with speed of 3 m/s. It collides with and sticks to the 2 kg box at rest. Afterward, they are sliding together on a rough surface with kinetic friction coefficient of 0,2. How far will they travel before stopping (in meter)? Before the collision 3 m/s 2 kg 1 kg After the collision to stopping 2 kg 2 kg 1 kg 1 kg O0.13 1.02 O 0.26 0.52 O 2.0Question 23 (5 points) A high-speed drill reaches 2300 rpm in 0.58 5. Through how many revolutions does it turn during this first 0.58 5? Question 24 (5 points) A 2.0 kg , 20-cm-diameter turntable rotates at 130 rpm on frictionless bearings. One 1.0 kg blocks fall from above, hit the turntable at the edge, and stick. What is the turntable's angular velocity, in rpm ,just after this event

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