Part A = 8.075 m/s

Part B = 0.255 m

What is his speed as he lands on the trampoline, 2.2 m below his jump off point?

If the trampoline behaves like a spring with spring stiffness constant 7.1 * 10^4 N/m , how far does he depress it? Any depression of the trampoline from equilibrium is to be taken as a negative distance.

Part A = F = mg/2

Part B = W_{d} / W_{p} = 1.00

What is the magnitude F of the upward force you must apply to the rope to start raising the box with constant velocity?

What is W_{d} / W_{p}, the ratio of the work done lifting the box directly to the work done lifting the box with a pulley?

Part A = smooth

Part B = a distance 2h/3 above the floor

Part C = -2mgh/3

Part D = -mgh

Part E = 1/2mv_{i}^2 + mgh_{i} = 1/2mv_{f}^2 + mgh_{f}

Part F = K increases; U decreases; E stays the same

Part G = sqrt(v^2 + 2gh)

Part H = 1/2mv_{i}^2 + W_{nc} = 1/2mv_{f}^2

Part I = K decreases; U stays the same; E decreases

Part J = friction

Part K = 0.5mv^2 + mgh

Part A = k = 2.5/0.005

Part B = 0.37 m

The following chart and accompanying graph depict an experiment to determine the spring constant for a baby bouncer.

What is the spring constant of the spring being tested for the baby bouncer?

One of the greatest difficulties with setting up the baby bouncer is determining the right height above the floor so that the child can push off and bounce. Knowledge of physics can be really helpful here.

If the spring constant k = 5.0 * 10^2 N, the baby has a mass m = 11 kg, and the baby’s legs reach a distance d = 0.15 m from the bouncer, what should be the height of the “empty” bouncer above the floor?

Click for More...

Part A = v = sqrt(2gh(μ_{k}cot(α) + 1))

You are a member of an alpine rescue team and must project a box of supplies, with mass m, up an incline of constant slope angle α so that it reaches a stranded skier who is a vertical distance h above the bottom of the incline. The incline is slippery, but there is some friction present, with kinetic friction coefficient μ_{k}.

Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.

Click for More...

Part A = 1.2m/s

Part B = at the equilibrium position

Part C = 1.0m/s

A mass-spring system is in SHM in the horizontal direction. If the mass is 0.25 kg, the spring constant is 15 N/m, and the amplitude is 15 cm, what is the maximum speed of the mass? Where does this occur? What is the speed at a half-amplitude position?

Click for More...