9. A block is pulled to the right across a level surface at a constant velocity by a horizontal force of 48 newtons, as shown. The weight of the block is 91 newtons. What is the coefficient of kinetic friction between the block and the surface?

10. A block has a mass of $81.0$ kilograms. The coefficient of static friction between the block and the level floor on which it rests is 0.621. A horizontal force of 398 newtons is applied to the block to the right, as shown. Will the block move?

A horizontal force F₁=75 N and a force F₂=16.5 N, acting at an angle θ to the horizontal, are applied to a block of mass m=2.5 kg. The coefficient of kinetic friction between the block and the surface is μ_k=0.2. The block is moving to the right.

(a) Solve numerically for the magnitude of the normal force, F_N in Newtons, that acts on the block if θ=30°.

(b) Solve numerically for the magnitude of the acceleration of the block, a in m/s², if θ=30°.

A block of mass rests on the left edge of a block of mass . The coefficient of kinetic friction between the two blocks is , and the surface on which the block rests is frictionless. A constant horizontal force of magnitude is applied to the block, setting it in motion as shown in . If the distance that the leading edge of the smaller block, travels on the larger block is . In what time interval will the smaller block make it to the right side of the 8.00-kg block as shown in ?

Work integration
A 3.8 kg block is acted upon by a horizontal force F(x) = 24.0 -4.0x where the force is measured in Newtons if x is measured inmeters. The coefficient of kinetic friction between the block andthe flat surface is 0.19. The block is initially at x = 0 m. Whatdistance must the block travel if the net work done on the block byF(x) and friction combined is to be exactly zero? At what pointwhat point along the way does the net force on the block reachzero?