A 60 kg person, running quickly at 5.5 m/s sees a rope swing hanging from a high tree branch. They grab the rope and hang on. How high can the rope arc upward, as measured as the vertical change in height of the person’s center of gravity? Does the length of the rope swing affect your answer? Does the mass of the person affect your answer? Ignore the mass of the rope swing. Assume no non-conservative forces, such as air resistance. Hint: at peak height, the direction of the swing motion reverses and the velocity of the swing/person system is zero.

A roller-coaster vehicle has a mass of 505 kg when fully loaded with passengers (see figure).   (a) If the vehicle has a speed of 15.0 m/s at point A, what is the force (in N) of the track on the vehicle at this point? N   (b) What is the maximum speed (in m/s) the vehicle can have at point B in order for gravity to hold it on the track? m/s

You are advising a fellow student who wants to learn to perform multiple flips on the trampoline. You have him bounce vertically as high as he can, keeping his body perfectly straight and vertical. You determine that he can raise his center of mass by a distance of h = 6.00 m above its level when he initiates the jump. He can do a single flip by bouncing gently, throwing his arms forward over his head, and tucking his body. You use your smartphone to make a video of him doing a single flip. Based on analysis of this video, you determine that his moment of inertia is Istraight = 26.7 kg . m2 when his body is straight and Ituck = 5.62 kg . m2 in the tuck position. You suggest that he keep his body in the straight position for Δt, = 0.400 s after leaving the trampoline surface and then immediately go into a tuckposition. As he lands, he should straighten his body out Δt, = 0.400 s before he lands. From analysis of the video recording, you determine that throwing his arms forward causes…

The 4,450kg truck is traveling at 30.50m/s when the brakes on all its wheels are applied, causing it to skid for a distance of 22m before coming to rest. Calculate the constant horizontal force developed in the coupling C, as well as the frictional force developed between the tires of the truck and the road during this time. The combined mass of the boat and trailer is 2,250kg * Choose from the choices below.         47.57kN & 141.64kN       51.25kN & 135.88kN       40.75kN & 133.75kN       50.75kN & 135.88kN