A 3.74 kg block is pushed along a horizontal floor by a force of magnitude 32.0 N at a downward angle 0 = 40.0°. The coefficient of kinetic friction between the block and the floor is 0.250. Calculate the magnitudes of (a) the frictional force on the block from the floor and (b) the block's acceleration.

A mass m is being pushed by a horizontal force F of magnitude 209.0 N. The coefficient of kinetic friction between the two surfaces is 0.4. What is the magnitude of the acceleration of this mass as it gets to be pushed up the ramp?

The coefficient of kinetic friction between a box and the floor is u, = 0.16 and the coefficient of static friction is u, = 2.0µ. (a) Calculate the ratio of static to kinetic friction force if m = 9 kg. (b) Will the ratio change if the value of m is changed but u, still equals 2.0µ? Yes No

A heavy, rough crate sits on an inclined plane. The weight of the crate is 60N.  The plane is inclined 37° from the horizontal, and the coefficient of friction between plane and crate is mk = 0.80.  Find the minimum “push” force needed to keep the crate moving up the plane.

A block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is applied to m2, at an angle 16.1 degrees above the horizontal.  If the coefficient of static friction between all moving surfaces is 0.42 and the coefficient of kinetic friction is 0.32, determine the magnitude of the minimum force that will get the blocks moving.

A car (m= 1540 kg) is parked on a road that rises 18° above the horizontal. What are the magnitudes of (a) the normal force and (b) the static frictional force that the ground exerts on the tires? (a) Number i (b) Number i Units Units FN ✪

A sphere of mass 5.4 x 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 36° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. (a) Number Units (b) Number i Units

The force acting on a particle has a magnitude of 110 N and is directed 34.4° above the positive x-axis. (a) Determine the x-component of the force. (b) Determine the y-component of the force. Need Help? Read It

A block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs = 0.085 between the block and the plane. The inclined plane is L = 6.9 m long and it has a height of h = 3.15 m at its tallest point. Part (a)  What angle, θ in degrees, does the plane make with respect to the horizontal?  Part (b)  What is the magnitude of the normal force, FN in newtons, that acts on the block?  Part (c)  What is the component of the force of gravity along the plane, Fgx in newtons?  Part (d)  Write an expression, in terms of θ, the mass m, the coefficient of static friction μs, and the gravitational constant g, for the magnitude of the force due to static friction, Fs, just before the block begins to slide.  Part (e)  Will the block slide?

A worker pushes horizontally on a 37.0 kg crate with a force of magnitude 113 N. The coefficient of static friction between the crate and the floor is 0.370. (a) What is the value of fs,max under the circumstances? (b) Does the crate move? ("yes" or "no") (c) What is the frictional force on the crate from the floor? (d) Suppose, next, that a second worker pulls directly upward on the crate to help out. What is the least vertical pull that will allow the first worker's 113 N push to move the crate? (e) If, instead, the second worker pulls horizontally to help out, what is the least pull that will get the crate moving? (a) Number i (b) (c) Number i (d) Number i (e) Number i Units Units Units Units