A bungee cord is 30.0 mm long and, when stretched a distance x, it exerts a restoring force of magnitude kxkx. Your father-in-law (mass 100 kg) stands on a platform 45.0 m above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 m before the cord stops him. You had several bungee cords to select from, and you tested them by stretching them out, tying one end to a tree, and pulling on the other end with a force of 400 N. 1. When you do this, what distance will the bungee cord that you should select have stretched?

A 25.0 cm long spring is hung vertically from a ceiling and stretches to 30.5 cm when a 6.50 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m). N/m (b) Find the length of the spring (in cm) if the 6.50 kg weight is replaced with a 165 N weight. cm

I need help solving the equations symbolically and I don't know how to get the m value for the first part.

A 2.00 kg mass on a frictionless incline plane of angle 6 degrees is released and begins sliding down the incline. At the bottom of the incline is a spring (k=70 N/m). If the mass slides 0.30 m along the incline plane before it contacts the spring, how far is the spring compressed by the mass? (round to the nearest hundredth)

Problem 5: A block of mass 4.2 kg is sitting on a frictionless ramp with a spring at the bottom that has a spring constant of 490 N/m (refer to the figure). The angle of the ramp with respect to the horizontal is 39⁰

In starting a game of pinball, the 44.7 g ball rests on a spring, of spring constant k = 18.8 N/m, that has been compressed by 0.0900 m. If the spring is released, how far up the pinball table (which is inclined at 39.0°) does the ball go before rolling back down again? You can assume it doesn't hit any obstacles on the way up.

A 21.0 cm long spring is hung vertically from a ceiling and stretches to 25.9 cm when a 7.00 kg mass is hung from its free end. HINT (a) Find the spring constant (in N/m).  N/m (b) Find the length of the spring (in cm) if the 7.00 kg weight is replaced with a 205 N weight.  cm

A daredevil wishes to bungee-jump from a hot-air balloon 64.5 m above a carnival midway. He will use a piece of uniform elastic cord tied to a harness around his body to stop his fall at a point 12.0 m above the ground. Model his body as a particle and the cord as having negligible mass and a tension force described by Hooke's force law. In a preliminary test, hanging at rest from a 5.00-m length of the cord, the jumper finds that his body weight stretches it by 1.65 m. He will drop from rest at the point where the top end of a longer section of the cord is attached to the stationary balloon. (a) What length of cord should he use? m(b) What maximum acceleration will he experience? m/s2

A 1.20 kg block slides down a frictionless incline with a slope angle of 42.0°, starting from a height 2.30 m above the bottom of the incline. The incline meets a frictionless horizontal surface, at the end of which is a spring in its equilibrium position (k =460. N/m) used to stop the block. Find the maximum compression of the spring.