PROBLEM 5.6 6. A box is sliding down a ramp with an acceleration of 3 m/s². If the ramp is at an angle of 25° relative to the ground, what is the coefficient of kinetic friction between the box and the ramp?
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- 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?You have devised an experiment to measure the kinetic coefficient of friction between a ramp and a mass. You place the mass on the ramp at an angle high enough that the mass starts sliding. You measure the time it takes to fall down a known distance. The time it takes to fall down the 45 degree ramp starting from a standstill is At = 0.46 sec, m=1 kg, and the distance it falls, Ax , is 0.5 m. What is µk? m Дх in At UkA cable attached to a block of mass 13 kg pulls the block along a horizontal floor at a constant velocity. If the tension in the cable is 5.1 N, what is the coefficient of kinetic friction between the block and the floor?
- You are driving through the Ouachita Mountains at 12m/s. You see a maple-leaf oak (Quercus acerifolia) crossing the road and hit the brakes, 20m away. The coefficient of kinetic friction between your tires and the road is μ_k = 0.7. Will you strike this endangered broadleaf? Justify your answer with a calculation.Your final answer should be the distance you will travel before coming to a stop.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 =A 2.03 kg book is placed on a flat desk. Suppose the coefficient of static friction between the book and the desk is 0.482 and the coefficient of kinetic friction is 0.262. How much force is needed to keep the book moving at a constant speed once it begins moving?
- A sled of mass 96 kg is being pushed up a slope with an applied force of 862 N. The slope is inclined with an angle of 36 degrees with respect to the horizontal. The coefficient of friction between the sled and the hill is 0.26. The acceleration of the crate (in m/s2) is:Consider a wooden ramp angled 31.7 degrees above horizontal. If a 20.3-kg wooden block is given a strong shove up the ramp so that it has an initial velocity of 22.9 m/s, how long (in seconds) will it take the block to reach its maximum height (before it starts sliding down)? The coefficient of kinetic friction between the block and the ramp is 0.402.A 235 N crate rests on a ramp; the maximum angle just before it slips is 27.8° with the horizontal. What is the coefficient of static friction between crate and ramp surfaces? Answer:
- A 423 N crate rests on a ramp; the maximum angle just before it slips is 26.4° with the horizontal. What is the coefficient of static friction between crate and ramp surfaces?What is the cofficient of static friction between the pavement and the car tires?A 5 kg box is at rest on a ramp inclined at an angle of 15°. The coefficients of static and kinetic friction are µs = 0.60 and µk = 0.20, respectively. If you push the box downward along the ramp, what is the minimum amount of force that you must apply on the box for the box to start moving?