A 1460-kg car is being driven up a 6.35 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 492 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight W and the normal force FN directed perpendicular to the road surface. The length of the road up the hill is 346 m. What should be the magnitude of F, so that the net work done by all the forces acting on the car is 135 kJ? Number i Units

A box with a mass of 7.24 kg is held at the top of frictionless inclined plane of length L = 10.9 m and an inclination angle 0 = 26.9 degrees above the horizontal. The box is released from rest and stops at a distanced = 22.62 m from the bottom of the inclined plane along the rough horizontal surface. What is the coefficient of kinetic friction between the box and the rough horizontal surface?

The ball launcher in a pinball machine has a spring that has a force constant of 50.0 N/m. The surface on which the ball moves is inclined 10.0° with respect to the horizontal. The spring is initially compressed 5.00 cm. Find the distance along the incline that the ball will go to (from the mean position of the spring), if the friction force = 0.1N. Mass of the ball = 20 gram.

A 1 kg Box slides down an inclined plane. It has an incline of 1.25664 radians and coefficient of kinetic friction of 0.44. What is the final speed of the Box if it started at rest and the change in height is 4 m? V =

A man pushing a crate of mass m = 92.0 kg at a speed of  v = 0.880 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 297 N on the crate.   (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude                                                       N direction    (b) Find the net work done on the crate while it is on the rough surface.                                    J(c) Find the speed of the crate when it reaches the end of the rough surface.                                       m/s

A horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?

A 68.3-kg circus performer is fired from a cannon that is elevated at an angle of 52.6° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 2.00 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor is the same as that of the net into which he is shot. He takes 2.38 s to travel the horizontal distance of 21.3 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism. Number i Units

A man pushing a crate of mass  m = 92.0 kg  at a speed of  v = 0.875 m/s  encounters a rough horizontal surface of length  ℓ = 0.65 m  as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.354 and he exerts a constant horizontal force of 292 N on the crate. A man pushes a crate labeled m, which moves with a velocity vector v to the right, on a horizontal surface. The horizontal surface is textured from the right edge of the crate to a horizontal distance ℓ from the right edge of the crate. (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface. magnitude  N direction     (b) Find the net work done on the crate while it is on the rough surface. J(c) Find the speed of the crate when it reaches the end of the rough surface. m/s

An online video daredevil is filming a scene where he swings across a river on a vine. The safety crew must use a vine with enough strength so that it doesn't break while swinging. The daredevil's mass is 82.0 kg, the vine is 11.0 m long, and the speed of the daredevil at the bottom of the swing has been determined to be 7.60 m/s. What is the minimum tension force (in N) the vine must be able to support without breaking?