A block of mass 1.6 kg is held against a horizontal spring so that the spring is compressed 17 cm. The block is released and it slides across the floor a distance of 3.4 m before it stops. The coefficient of friction between the block and floor is 0.185. Find the force constant of the spring.

The figure shows a block of mass m resting on a 20° slope. The block has coefficients of friction μs = 0.64 and μk = 0.54 with the surface of the slope. It is connected using a very light string over an ideal pulley to a hanging block of mass 2.0 kg. The string above the slope pulls parallel to the surface. What is the minimum mass m so the system will remain at rest when it is released from rest?

An empty pail and a 34 kg wooden mass are tied together by a very light string which passes over a massless and frictionless pulley. There is a force of friction between the mass and the table and there is a coefficient of static friction of 0.76 and a coefficient of kinetic friction of 0.46. Water is added to the bucket one drop at a time until the system just begins to move. When the system just begins to move, what will the acceleration be? (Answer to 1 decimal place, use g = 9.8m/s2)

A rectangular block has a length that is six times its width and a height that is three times its width. The block's surfaces are all identical except for size. When the block is placed on a horizontal tabletop so that the area in contact with the table is length ✕ width, it is found that a horizontal force of 11.6 N applied to the block is just sufficient to overcome the static friction force and cause the block to move. The block is then knocked over so that the area in contact with the table is length ✕ height. Now, what minimum horizontal force will cause the block to move?