A 292N crate resting on a plane inclined 22-degrees with the horizontal requires a 25.7N force to bring it down to 10.5m from its initial position. The force is applied 78-degrees with respect to the horizontal. Neglecting friction between the crate and plane, determine the time (in seconds) that the crate had travelled a distance of 10.5m.

A 50 kg box is pushed with a force of 200 N along a horizontal surface. If the coefficient of friction between the box and the surface is 0.3, calculate the acceleration of the box. (Note: The gravitational acceleration can be assumed to be 9.8 m/s² unless stated otherwise.)

You must push a crate across a floor to a docking bay. The crate weighs 183 N. The coefficient of static friction between crate and floor is 0.500, and the coefficient of kinetic friction is 0.300. Your force on the crate is directed horizontally. (a) What magnitude of your push puts the crate on the verge of sliding? (b) With what magnitude must you then push to keep the crate moving at a constant velocity? (c) If, instead, you then push with the same magnitude as the answer to (a), what is the magnitude of the crate's acceleration? (a) Number i (b) Number (c) Number i Units Units Units

The coefficient of static friction between a 2.0 kg box and a plane inclined 28° to the horizontal is 0.65. What maximum applied force can be exerted on the box without moving it?