it moving. With what horizontal force F must you be pushing the block just before the block begins to mov

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Problem: Pushing a Block on a frictional surface

Description: Simple quantitative and qualitative questions about kinetic and static friction.

A block of mass 10 kg lies on a horizontal table. The coefficient of static friction between the block and the table is 0.50 and the coefficient of kinetic friction is 0.40.

(a) If the block is at rest (and the only forces acting on the block are the force due to gravity and the normal force from the table), what is the magnitude of the force due to friction?

(b) Suppose you want to move the block, but you want to push it with the least horizontal force possible to get it moving. With what horizontal force F must you be pushing the block just before the block begins to move?

(c) Suppose you push horizontally with half the force needed to just make the block move. What is the magnitude of the friction force?

(d) Suppose you push horizontally with precisely enough force to make the block start to move, and you continue to apply the same amount of force even after it starts moving. Find the acceleration of the block after it begins to move.

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