On a rough surface you want to pull a heavy object of 125 kg, if the coefficient of friction is µk = 0.31, what force would be necessary to move the object at constant speed?

A force of 109 N is used to accelerate a block of ice with a weight of 614 N along a horizontal surface where it encounters a kinetic friction force of 38 N. What is the horizontal acceleration of the block of ice?

You are at the grocery store pushing on a shopping cart. The mass of the cart including all the delicious food you will buy is 22.0 kg. The coefficient of friction between the floor and the wheels of the shopping cart is 0.22. In order to accelerate the cart to 2.20 m/s from rest in 2.20 m, what force must you apply to the cart?

You are a bully.  You pin a 48 kg dweeb to a wall so that his feet aren't touching the ground.  Your arm is extended so that it makes an angle 28 degrees with the horizontal.  The dweeb's back is so sweaty with fear that there is no friction between his back and the wall.  What is the magnitude of the force , in N, you must apply to keep the dweeb in equilibrium? (Use g = 10 m/s2) This scenario is represented schematically below.  Unfortunately for you, years later the dweeb is your boss and he makes your life miserable. (Please answer to the fourth decimal place - i.e 12.3445)

A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)

Two crates of fruit  are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of  an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg.  The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?

A book slides across a level, carpeted floor with an initial speed of 3.85 m/s and comes to rest after 3.75 m. Calculate the coefficient of kinetic friction μ between the book and the carpet. Assume the only forces acting on the book are friction, weight. and the normal force. H =

Mary applies a force of 77 N to push a box with an acceleration of 0.55 m/s2. When she increases the pushing force to 85 N, the box's acceleration changes to 0.71 m/s2. There is a constant friction force present between the floor and the box. (a) What the mass of the box in kilograms? kg (b) What is the coefficient of kinetic friction between the floor and the box?

When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of μN, where μ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 50 kg is released from the top of an inclined plane that is inclined 60° to the horizontal. Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction μ = 0.1. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 7 m long, what is the velocity of the object when it reaches the bottom? Assume that the acceleration due to gravity is 9.81 m/sec². Determine the equation of motion for the object as it slides down the plane. x(t) = mg sin 60° شت 60° N mg x(t) -KAN x(0) = 0 mg cos 60°

A tug-of-war match happens between Team Blue and Team Red. Each of Team Blue’s members has an average mass of 76 kg and exerts an average force of 1225 N horizontally. Each of Team Red’s members has an average mass of 78 kg and exerts an average force of 1275 N horizontally. What is the tension in the section of rope between the teams?