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A 50 kg crate is being pushed on a horizontal floor at constant velocity. Given that the coefficient of kinetic friction between crate and floor is _{k} = 0.1, what is the push force F?

A uniform ladder of length L is leaning against the side of a building, as shown. A person of mass m = 75 kg is standing on it. The mass of the ladder is M = 10 kg. The coefficient of static friction between the ground and ladder is _{s1} = 0.5, and the coefficient of static friction between the wall and ladder is _{s2} = 0.3. What is the minimum angle so that the ladder doesn't slip?

Two blocks of mass m and M are hanging off a single pulley. Determine the acceleration of the blocks. Ignore the mass of the pulley.

A block of mass M falls onto a spring. Before colliding with the spring the velocity of the block is V. The spring has a stiffness k. How much is the spring compressed?

A block of mass M is traveling on a surface inclined at angle . The coefficient of kinetic friction is between block and surface. The velocity of the block is V before colliding with a spring. The spring has a stiffness k. How much is the spring compressed?

Two long straight wires carrying the same current I and separated by a distance r exert a force F on each other. The current is increased to 4I and the separation is reduced to r/6 .

A particle is moving around in a circle and its position is given in polar coordinates as

x = Rcos(theta)

y = Rsin(theta)

, where R is the radius of the circle, and theta is in radians.