A 68.0 kg crate is dragged across a floor to the right by pulling on a rope attached to the crate and inclined 15.0° above the horizontal. (a) If the coefficient of static friction is 0.500, what minimum force magnitude is required from the rope to start the crate moving? (b) If the coefficient of kinetic friction is 0.350, what is the magnitude of the initial acceleration of the crate?
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- A contestant in a winter sporting event pushes an mm kg block of ice across a frozen lake by applying a force FF at an angle θθ below the horizontal as shown. Assume that the coefficient of static friction for ice on ice is 0.0300, and the coefficient of kinetic friction for the same is 0.0100. Let to the right be the positive x direction and up be the positive y direction for your equations. Obtain a numeric value, in newtons, for the magnitude of the maximum applied force, F, consistent with static friction when the force makes an angle 32° below the horizontal and the mass of the block is 63 kg. Obtain a numeric value for the acceleration, a, in meters per squared seconds, when the mass of the block is 63 kg and the angle of the rope is 32° below the horizontal.A block weighs 100. N and rests on a horizontal surface. If Ms = 0.50 and uk = 0.20 between the block and the horizontal surface, then (a) What is the magnitude of the frictional force acting on the block? Justify your What is the magnitude of the frictional force acting on the block if a horizontal force of 35.0 N is now used to push the block? Justify your answer with a calculation. What is the magnitude of the minimum horizontally applied force that will start the block sliding? Justify your answer with a calculation. If the magnitude of the applied horizontal force on the block is 55.0 N, what is the magnitude of the frictional force acting on the block? Justify your answer with a calculation.A woman exerts a horizontal force of 119 N on a box with a mass of 39.2 kg. If the box doesn't move, what's the magnitude of the static friction force (in N)? What is the minimum possible value of the coefficient of static friction between the box and the floor? (Assume the box remains stationary.)
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- a block of mass m = 10.2 kg sitting on a ramp that makes an angle θ = 21° with the horizontal. This block is being pushed by a horizontal force F = 212 N. The coefficient of kinetic friction between the two surfaces is μ = 0.49. Write an equation for the acceleration of the block up the ramp using variables from the problem statement together with g for the acceleration due to gravity. Find the acceleration of the block up the ramp in m/s2.A person pushes on a stationary 125 N box with a force of 93N at 30 degrees below the horizontal. The coefficient of static friction between the box and the horizontal floor is 0.76. what is the normal force on the box? what is the friction force on the box? what is the largest the friction force could be? the person now replaces his push with a 93N pull at 30degrees above the horizontal. Find the normal force on the box in this case.A 68.0 kg crate is dragged across a floor to the right by pulling on a rope attached to the crate and inclined 15.0° above the horizontal. (a) If the coefficient of static friction is 0.500, what minimum force magnitude is required from the rope to start the crate moving? (b) If the coefficient of kinetic friction is 0.350, what is the magnitude of the initial acceleration of the crate? Make a free-body diagram for part (b). Please use the blue vector to specify forces and the pink vector for acceleration. Make sure to label each vector with none, mg, fk, a, FN or T.