Kate, a bungee jumper, wants to jump off the edge of a bridge that spans a river below. Kate has a mass m, and the surface of the bridge is a heighth above the water. The bungee cord, which has length I when unstretched, will first straighten and then stretch as Kate falls. Assume the following: • The bungee cord behaves as an ideal spring once it begins to stretch, with spring constant k • Kate doesn't actually jump but simply steps off the edge of the bridge and falls straight downward. • Kate's height is negligible compared to the length of the bungee cord. Hence, she can be treated as a point particle. Use g for the magnitude of the acceleration due to gravity. ▼ Part A How far below the bridge will Kate eventually be hanging, once she stops oscillating and comes finally to rest? Assume that she doesn't touch the water. Express the distance terms of quantities given in the problem introduction. ▸ View Available Hint(s) d= Submit —| ΑΣΦ C

A 1.2 m spring is standing on one end. A 60-kg block is placed on the spring, compressing it. What is the length of the compressed spring if spring constant k is 500 N/m? y Lo Yeq 0 www Before Compressed After

A spring of negligible mass has force constant k = 1600 N/m. How far must the spring be compressed for 3.20 j of potential energy to be stored in it? 7) %3D a) b) The spring is placed vertically with one end on the floor. A 1.0-kg book is the droped from a height of 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed. 1.0 kg h = 0.8 m

In regards to springs and different masses; At what point is the potential energy of the system maximum? At what point is the kinetic energy of the system maximum?

Review I Constants A freight company uses a compressed spring to shoot 1.70 kg packages up a 1.00-m -high frictionless ramp into a truck, as the figure(Figure 1) shows. The spring constant is 434 N/m and the spring is compressed 29.0 Part A cm . What is the speed of the package when it reaches the truck? Express your answer with the appropriate units. HẢ Value Units V = Submit Request Answer Figure 1 of 1 Part B A careless worker spills his soda on the ramp. This creates a 50.0-cm-long sticky spot with a coefficient of kinetic friction 0.300. Will the next package the truck? Yes 1.0 m No 50-cm-long sticky spot Submit Request Answer

Determine the percent increase in the potential energy of the spring if it is stretched from 4.00 cm to 8.00 cm?

A spring gun shoots out a plastic ball at speed v. The spring is then compressed twice the distance it was on the first shot.

Please answer and solve the question correctly. Thank you!

US-2 A spring has a force constant K=12.5N/m. a) Find the energy stored in the spring if it is stretched x₂-0.150m from its unloaded length. b) Find the energy stored in the spring if it is stretched x₁-0.300m from its unloaded length. c) Find U₁U₁, the ratio of the energies you found in parts a) and b). d) The ratio x/x₁ is 2/1. Why is this not the same as your answer for part c)?