A  spring stretches 1.68 cm vertically when a 2.50 kg object is suspended from it.  Find the distance (in cm) the spring stretches if you replace the 2.50 kg object with a 4.40 kg object. Assume that the spring obeys the Hook’s law.

A block of mass m = 1.60 kg is dropped from height h = 52.0 cm onto a spring of spring constant k = 1190 N/m (see the figure). Find the maximum distance the spring is compressed.

Suppose the coefficient of static friction between the road and the tires on a car is 0.4 and the car has no negative lift. What speed will put the car on the verge of sliding as it rounds a level curve of 42.0 m radius?

In the figure, a frictionless roller coaster car of mass m = 812 kg tops the first hill with speed v0 = 16.0 m/s at height h = 45.0 m. What is the speed of the car at  point B.

A person pushes a 50.5kg block of ice  at an angle 32.80 below the horizon across a lake as shown in the figure.   Calculate the minimum force F (in N) he must exert to get the block moving. (Hint: Horizontal component of force = Static friction force) (The coefficient of static friction is 0.1 and the coefficient of kinetic friction is 0.03)

In the figure, a frictionless roller coaster car of mass m = 848 kg tops the first hill with speed v0 = 15.0 m/s at height h = 43.0 m. What is the speed of the car at  point B.

The only force acting on a 2.0 kg body as it moves along the positive x axis has an x component Fx = -9x N, where x is in meters. The velocity of the body at x = 1.6 m is 8.9 m/s. What is the velocity of the body at x = 3.3 m?

The only force acting on a 3.1 kg canister that is moving in an xy plane has a magnitude of 4.6 N. The canister initially has a velocity of 2.3 m/s in the positive x direction, and some time later has a velocity of 4.7 m/s in the positive y direction. How much work is done on the canister by the 4.6 N force during this time?

How fast must a 1.65-g ping-pong ball move in order to have the same kinetic energy as a 145 g baseball moving at 45.5 m/s?

A spring with a spring constant of 2600 N/m is initially stretched until the elastic potential energy of the spring is 1.80 J. (U = 0 for the relaxed spring.) What is ΔU if the initial stretch is changed to a stretch of 2.1 cm.