Problem 6: Determine the velocity of the 100-kg block A if the two blocks are released from rest and the 50-kg block B moves 0.5 m up the incline. The coefficient of kinetic friction between block A and the inclined plane is μk = 0.10 while the coefficient of kinetic friction between block B and the plane is µ₁ = 0.20
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block B moves 0.5 m up the incline. The coefficient of kinetic friction between block A and the inclined plane is
μk = 0.10 while the coefficient of kinetic friction between block B and the plane is μ = 0.20
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- An extreme skier, starting from rest, coasts down a mountain that makes an angle of 35.3 ° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.115. She coasts for a distance of 18.5 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.32 m below the edge. How fast is she going just before she lands?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 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 1700 kg car is driving down a highway at a constant velocity when a deer jumps out onto the road 59.6 m ahead. The coefficient of friction between the car tires and the road is 0.21. Calculate the initial velocity of the car if it is able to stop just before hitting the deer. (You do not need to account for reaction time of the driver. Assuming the car is breaking the entire 59.6 m distance and that friction is the only force stopping the car.) v0 = m/sA parachutist whose mass is 70 kg drops from a helicopter hovering 2500 m above the ground and falls toward the ground under the influence of gravity. Assume that the force due to air resistance is proportional to the velocity of the parachutist, with the proportionality constant b₁ = 30 N-sec/m when the chute is closed and b₂ = 90 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 15 m/sec, after how many seconds will the parachutist reach the ground? Assume that the acceleration due to gravity is 9.81 m/sec². - The parachutist will reach the ground after (Round to two decimal places as needed.) * seconds.A block of mass m = 0.5 kg is kicked so that it slides up a ramp inclined at an angle θ = 30°. At the bottom of the ramp, the block has speed v0 = 4.0 m/s. There is a coefficient of kinetic friction between the block and ramp µK = 0.18. (a) How far up the ramp does the block slide? (b) Assume that the block comes to rest and does not slide back down the ramp. What must be the minimum coefficient of static friction between the block and ramp?
- The figure shows three crates being pushed over a concrete floor by a horizontal force F of magnitude 695 N. The masses of the crates are m₁ = 31.5 kg, m₂ = 13.9 kg, and m3 = 20.2 kg. The coefficient of kinetic friction between the floor and each of the crates is 0.700. What is the magnitude F32 of the force on crate 3 from crate 2? m1 mq mgTo avoid a collision while traveling at a speed of 19 m/sec and descending a steep mountain pass with a grade of 4.3%, a truck locks up all wheels and skids to a stop over a distance of 90 meters. Determine the coefficient of friction between the truck tires and pavement.A semi is traveling down the highway at a velocity of v = 27.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.16. Write an expression for the sum of the forces in the x-direction for the truck while braking? Using the results from Part (a), input an expression for the truck's acceleration, at, while breaking? What is the magnitude of the acceleration in m/s2? How far does the truck travel, d in meters, before stopping?
- An ice hockey puck is sliding over a frictionless horizontal surface with a constant velocity of vo = 10.2 m/s. Find the velocity of the puck after it passes a rough area of length L 6 m and with the kinetic friction coefficient u = 0.33 as shown below. Hint: the mass of the puck is not needed, you can either calculate everything per unit of mass or, if it helps, take m 160 grams. %3D %3D %3D %3D m Vo L The steps to follow: (1) find the initial KE of the puck; (2) find the work done by the friction force (should be negative); (3) find the final kinetic energy as KE; = KE; + W, meaning that some of the initial kinetic energy is lost due to the work done by friction; (4) from the final KE find the final speed. The final speed of the puck, Vf =7.28 X Units m/s %3D If the initial speed of the puck is not high enough the puck will get stuck in the rough area. At what minimal initial speed should the puck move to barely make it through the rough area? The minimal initial velocity, Vmin =…Police examine the scene of an accident involving two cars, which is parked. The skid marks of the moving car, which nearly came to a stop before the collision, is 80 meters long. The coefficient of kinetic friction between rubber and the pavement is about 0.80. Estimate the initial speed of the car.At Ted's request, Bill pushes the pizza box across the granite countertop towards Ted. When the box leaves Bill's hand it is sliding at 2.60 m/s. The box comes to rest over a distance of 110 cm. What is the coefficient of kinetic friction, uk, between the pizza box and the countertop? (Ignore air drag.)