The Kracken at Sea World, Orlando, takes riders through a 36 m vertical loop. Assume that the loop is circular, and that Kracken is a typical roller coaster, in which riders experience a normal force equivalent to 2Fg at the top of the loop a) Determine the centripetal force acting on a 65 kg rider. b) Determine the speed of the roller coaster at the top of the loop. c) Will the riders feel lighter or heavier as they go through the top of the loop? Explain. Energy A 15 g jack-in-the-box toy is attached to a spring with a spring constant of 17 N/m. When the lid of the box is closed, the spring is compressed 0.18 m. How much force does the spring exert on the toy? [2] When the lid is removed, what is the acceleration of the toy? [3] A 4.1 kg block, with an initial velocity of 2.0 m/s, slides down a 1.0 m long frictionless ramp. The ramp makes a 30 angle with the ground. The block then travels over a 1.0 m rough surface with a force of friction of 19.6 N and compresses a spring, with a spring constant of 241 N/m, before coming to rest. How far did the block compress the spring? Im Im A 55 kg Cirque du Soleil performer starts at rest and slides down an 8.5 m vertical rope. The force of friction between the performer and the rope is 143 N. a. When she reaches the end of the rope, what is her velocity? b. At the bottom of the rope there is a trampoline that will project her upwards. If the trampoline has a spring constant of 4700 N/m, how far does the trampoline stretch before the acrobat comes to rest