Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the magnitude of the friction force acting on the box? b. What is the magnitude of the net force acting on the box and child system? c. Will the box slide down the hill, or stay at rest?

Emma and Katie are racing along in their new wagon. Upon reaching the bottom of the hill traveling at 13.2 m/s, Katie notices her teddy bear 12.0 m in front of them, panics and locks the brakes sending the wagon into a skid. If the wagon and its contents have a total mass of 1.50 x10^1 kg, and the coefficient of kinetic friction between the road and the rubber wagon tires is (0.75), by how much does the wagon miss the bear?

A worker pushes a 35.0-kg package on a horizontal roller-belt conveyor until it reaches a certain speed. The package then coasts on the horizontal conveyor, all the while slowing down, until it comes to a complete stop after moving 1.20 m. While the package is coasting on the conveyor, the opposing friction force averages 6.00 N. Use the WET to find the speed of the package after the worker pushes it and just as it begins to coast. 0.625 m/s 0.759 m/s 0.600 m/s 0.510 m/s 0.802 m/s 0.641 m/s

What is the mass of the box?

A truck is traveling at 14.7 m/s down a hill when the brakes on all four wheels lock. The hill makes an angle of 19 ° with respect to the horizontal. The coefficient of kinetic friction between the tires and the road is 0.789. How far, in meters, does the truck skid before coming to a stop?

A truck is traveling at 10.0 m/s down a hill when the brakes on all four wheels lock. The hill makes an angle of 11 ° with respect to the horizontal. The coefficient of kinetic friction between the tires and the road is 0.933. How far, in meters,  does the truck skid before coming to a stop?

a rock climber on a rock slab. The coefficient of kinetic friction between the climber's rock climbing shoes and the rock is 0.70.  If the climber slide down the rock starting from rest, the amount of time it will take the climber to slide to the edge of the rock slab is?  distance=16.4 m and theta is 68 degrees.

Your answer is partially correct. of magnitude 50.0 N acts on it. In the figure, a 5.20 kg block is sent sliding up a plane inclined at 0 = 37.0° while a horizontal force The coefficient of kinetic friction between block and plane is 0.330. What are the (a) magnitude and (b) direction (up or down the plane) of the block's acceleration? The block's initial speed is 4.40 m/s. (c) How far up the plane does the block go? (d) When it reache its highest point, does it remain at rest or slide back down the plane? (a) Number i -2.7 (b) down V (c) Number i Units Units m/s^2

A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2

A box of unknown mass is sliding with an initial speed vi = 4.90 m/s across a horizontal frictionless warehouse floor when it encounters a rough section of flooring. The coefficient of kinetic friction between the floor and the box is 0.625. How far does the box slide before stopping?