As part of a physics open house, a department sets up a bungee jump from the top of the physics building. Assume that one end of the elastic band will be firmly attached to the top of the building and the other to the waist of a courageous participant. The participant will step off the edge of the building, to be slowed down and brought back up by the elastic band before hitting the ground. Estimate the length and spring constant of the elastic you would recommend.

A $1.50-\mathrm{kg}$ block at rest on a tabletop is attached to a horizontal spring having constant $19.6 \mathrm{~N} / \mathrm{m}$, as in Figure P13.12. The spring is initially unstretched. A constant $20.0-\mathrm{N}$ horizontal force is applied to the object, causing the spring to stretch. (a) Determine the speed of the block after it has moved $0.300 \mathrm{~m}$ from equilibrium if the surface between the block and tabletop is frictionless.

If you stretch a rubber hose and pluck it, you can observe a pulse traveling up and down the hose. What happens to the speed of the pulse if you stretch the hose more tightly? What happens to the speed if you fill the hose with water?

A simple harmonic oscillator has a total energy $E$ (b) For what value of the displacement does the kinetic energy equal the potential energy?

A simple harmonic oscillator has a total energy $E$ (a) Determine the kinetic and potential energies when the displacement is one-half the amplitude.

A grandfather clock depends on the period of a pendulum to keep correct time. Suppose such a clock is calibrated correctly and then the temperature of the room in which it resides increases. Does the clock run slow, fast, or correctly? Hint: A material expands when its temperature increases.

If a grandfather clock were running slow, how could we adjust the length of the pendulum to correct the time?

An automobile having a mass of 1 000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant $5.00 \times 10 ^ { 6 }$ N/m and is compressed 3.16 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall?

If one end of a heavy rope is attached to one end of a light rope, the speed of a wave will change as the wave goes from the heavy rope to the light one. Will the speed increase or decrease? What happens to the frequency? To the wavelength?

Working as a team member is similar to being in a partnership. What are some advantages and disadvantages of working with others?

Write a balanced equation for the following reaction, shown with molecular art.

A manufacturing plant is designed to be in the shape of a regular pentagon with 92.5 ft on each side. A security fence surrounds the building to form a circle, and each corner of the building is to be 25.0 ft from the closest point on the fence. How much fencing is required?

Should the surface of a computer disk be made from a hard or a soft ferromagnetic substance?

Bill decided to buy six books on history instead of four books on politics. It follows, then, that the opportunity cost of each history book was ________ books on politics.