A 150.0 kgkg cart rides down a set of tracks on four solid steel wheels, each with radius 20.0 cmcm and mass 45.0 kgkg. The tracks slope downward at an angle of 25 ∘∘ to the horizontal. If the cart is released from rest a distance of 21.0 mm from the bottom of the track (measured along the slope), how fast will it be moving when it reaches the bottom? Assume that the wheels roll without slipping, and that there is no energy loss due to friction.
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- A plane with a wingspan of d = 16 m loses control in flight and begins to spiral in a circle around the cockpit while in a vertical dive. It completes one rotation every t = 3.1 s.There are two wheels. Wheel one has a constant of Ω=2π/3 s^-1 and a radius of 0.3m. Wheel two has a constant a=π/2 s^-2, an initial Ω=-π/10 a d a radius of 0.2m. If these two wheels were to start at x=0, which one would travel 10m first?A string is wrapped around a disk of mass m = 2.2 kg and radius R = 0.08 m. Starting from rest, you pull the string with a constant force F = 9 N along a nearly frictionless surface. At the instant when the center of the disk has moved a distance x = 0.12 m, your hand has moved a distance of d = 0.27 m. m d (a) At this instant, what is the speed of the center of mass of the disk? Vcm = m/s (b) At this instant, how much rotational kinetic energy does the disk have relative to its center of mass? Krot = Additional Materials M eBook
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