Option #2: A roller coaster car is at the top of a huge hill and is at rest briefly. Then it rolls down the track and accelerates as its passengers scream. By the time it is 15.2 meters down the track, it is moving at 2.85 m/s. If the hill has a slope of 10.00°, what is the coefficient of friction between the car and the track? Assume any mass for the roller coaster car.

The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 74 N on the wall to which it is attached. The tensions in the shorter cords are T1 = 40.0 N, T2 = 32.0 N, and T3 = 8.0 N.   What are the masses of each disk? (a) disk A kg(b) disk B kg(c) disk C kg(d) disk D kg

A stacked pair of books with masses m1= 2.0 kg (bottom book) and m2 = 1.5 kg (top book) are tossed onto a table. The books strike the table with no vertical velocity and their common horizontal speed is ?o = 0.75 m/s. The kinetic friction coefficient between the bottom book and the table is ?k1=0.45; the kinetic and static friction coefficients between the two books are ?k2=0.3 and ?s2= 0.4. Find the final horizontal position of each book relative to the spot where the stack hits the table.

The figure shows the configuration of two identical bricks. In case 1 the bricks are placed end to end. In case 2 the bricks are stack on top of each other. What can you say about the kinetic friction when the bricks are pushed across a tabletop with constant speed?

Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?

In the back of the truck is a 200kg box that has a coefficient of static friction of 0.8 and a coefficient of kinetic friction of 0.4 between the truck and the box. You are driving on the freeway at 25m/s. There is a car ahead of you that is driving at 30m/s. Your front bumper is 30m behind the back of the first car. You would like to pass the other car and pull back into the same lane when your back bumper is 10m ahead of the front bumper of the first car in 5 seconds. The length of the car ahead of you is 3m and the length of your car is 4m.a) What minimum acceleration do you need to do this?b) What distance does your car travel in that time?c) Does the box in your truck start to slide off the truck?

Two roofers are installing a new roof. Bob is sitting on the top of the roof that is angled at 23.5 degrees from the horizontal. Nate is sitting 4.1 m further down the roof. In order to get a box of shingles to Nate, Bob just slides the box directly down to him. If the coefficient of kinetic friction for the box and roof is 0.5, then with what speed should Bob initially push the box so that it slides to a stop right as it reaches the Nate?

Time left 0:20:32 An amusement park in Dubai has a ramp which is frictionless. A child drops a smooth object and it slides down the ramp and comes down through a height 4 m. What distance is necessary to stop the object on the flat track if the coefficient of friction is 0.4? h. Answer:

A large box of mass M is moving on a horizontal floor at speed v0. A small box of mass m is sitting on top of the large box. The coefficient of static friction between the two boxes is μs and coefficient of kinetic friction between the large box and floor is μk. Find an expression for the shortest distance dmin in which the large box can stop without the small box slipping.

A truck with a mass of 750 kg is traveling along a wet road at 30.0 m/s  The driver slams on the brakes and skids to a stop.  If the coefficient of kinetic friction between the tires and the road is 0.50: what frictional force stops the truck? how far does it skid?