Force

A 100 kg hockey player skates at 2.5 m/s toward a railing at the edge of the ice and then stops himself by grasping the railing with his outstretched arms. During the stopping process his center of mass moves 40 cm toward the railing. What average force must he exert on the railing? Complete step by step solution needed.

Spring

What should be the spring constant k of a spring designed to bring a 1200 kg car to rest from a speed of 100 km/hr? Assume that the occupants undergo a maximum acceleration of 50 m/s2. Complete step by step solution needed.

Slide

A student sits at the top of his igloo, which is 3 m in radius and is very slippery so that friction may be neglected. The student begins to slide off the igloo from rest. What is the speed of the student when he reaches the ground? Complete step by step solution needed.

Add rotational kinetic energy plus translational kinetic energy to get the total kinetic energy of a moving four wheeled cart.

A cart has four wheels in the shape of uniform cylinders, each of whose mass is m= 20 kg. The total mass of the cart, including the cylinders, is M= 1000 kg. The total KE (kinetic energy) of the cylinders is what percentage of the total KE of the moving cart?

Calculate the torque required to bring to rest a rotating rod plus attached masses.

A uniform rod, length L= 1.50 m, mass M= 6.60 kg, has attached to each end a small mass m= 1.06 kg. Initially rotating about its c.m. axis at 48 rev/sec, is brought to rest in 15 seconds. Find the net torque, T, which is required.

Newton's 2nd Law for Rotation

Problem 1 A wheel of radius 0.20 meters is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm^2. A massless cord wrapped around the wheel is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P=3.0 N is applie ...continues

A sphere rolls down a track onto inside circular track; barely maintains contactat highest point. Find minimum initial height.

In a vertical plane, a uniform sphere, mass m, radius r, released from rest at a point h meters above ground level, rolls without slipping down a straight section of track then around the inside of a circular track of radius R. Given R>>r. Find the minimum initial height h, such that the sphere barely maintains contact at th ...continues

Conservation of angular momentum when a system changes configuration.

A uniform cylinder, mass M= 12 kg, radius R= .36 m, is initially rotating about a vertical axis through its center at angular velocity wo= 6.6 rad/sec. Now two small (point masses), each of mass m= 2 kg, are dropped onto and stick to the cylinder, each at distance r= .24 m from the axis. SEE ATTACHMENT for diagram. Find wf, t ...continues

A door in equilibrium requiring application of net torque equal to zero.

A uniform, rectangular door 2.2 m high and 2.4 m wide having a weight of 260 nt is supported by two hinges. One hinge is .30 m from the top corner and the other is .30 m from the bottom corner. Each hinge supports half the total weight of the door. See door ATTACHMENT for a diagram. Find the magnitude of the total force exert ...continues

Terminal speed of water

I keep trying to manipulate the equation in order to find v and then plugging in my values but I don't seem to be getting the right answer. Maybe I am not taking the right approach.