Find the acceleration of the toboggan after it has reached its highest point and is sliding down the hill. Find the acceleration of the toboggan after it has reached its highest point and is sliding down the hill. Assume +x axis directed up the hill.
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Find the acceleration of the toboggan after it has reached its highest point and is sliding down the hill.
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- A block slides down an inclined plane of slope angle θ with constant velocity. It is then projected up the same plane with an initial speed v0. How far up the incline will it move before coming to rest? Will it slide down again?A penguin slides at a constant velocity of 1.4m/s down an inclined sandy scarface. The incline slopes above the horizontal at an angle of 6.9degrees.At the bottom of the incline, the penguin slides onto a horizontal patch of sand. The coefficient of kinetic friction between the penguin and the sand is the same for the horizontal patch. Calculate how much time is required for the penguin to slide to a halt after entering the horizontal patch of ice.A rocket is fired vertically upward from the surface of the earth at a constant acceleration of 20.0 m/s2. After 30.0 s the fuel in the first stage of the rocket is expended, and the empty container is released and falls back to earth. Find the maximum height reached by the container.
- To transport a series of bundles of shingles A to a roof, a contractor uses a motor-driven lift consisting of a horizontal platform BC which rides on rails attached to the sides of a ladder. The lift starts from rest and initially moves with a constant acceleration a₁ as shown. The lift then decelerates at a constant rate a2 and comes to rest at D, near the top of the ladder. Knowing that 0 = 57° and that the coefficient of static friction between a bundle of shingles and the horizontal platform is 0.30, determine the largest allowable acceleration a₁ and the largest allowable deceleration a2 if the bundle is not to slide on the platform. 4.4 m 0.8 m B C aj 8 The largest allowable acceleration a₁ is m/s and the largest allowable deceleration a2 is 1 m/s²The shot put is a trackand- field event in which athletes throw a heavy ball— the shot—as far as possible. The best athletes can throw the shot as far as 23 m. Athletes who use the “glide” technique push the shot outward in a reasonably straight line, accelerating it over a distance of about 2.0 m. What acceleration do they provide to the shot as they push on it? Assume that the shot is launched at an angle of 37°, a reasonable value for an excellent throw. You can assume that the shot lands at the same height from which it is thrown; this simplifies the calculation considerably, and makes only a small difference in the final result.A block with mass mA = 10.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mB = 5.0 kg which hangs vertically. Determine the magnitude of the acceleration of the system? If initially mA is at rest 1.250 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely? If mB = 1.0 kg, how large must mA be if the acceleration of the system is to be kept at g100?
- A child on a bridge throws a rock straight down to the water below. The point where the child released the rock is 94 m above the water and it took 1.2 s for the rock to reach the water. Determine the rock's velocity (magnitude & direction) at the moment the child released it. Also determine the rock's velocity (magnitude & direction) at the moment it reached the water. Ignore air drag.Consider a skier heading down a 8.5° slope. Assume the coefficient of friction for waxed wood on wet snow is μk=0.10 and use a coordinate system in which down the slope is positive. Calculate the acceleration of the skier in m/s2 and determine the angle of a slope the skier could coast on at a constant velocity in degrees.A penguin slides at a constant velocity of 1.4 m/s down an inclined sandy surface. The incline slopes above thehorizontal at an angle of 6.9. At the bottom of the incline, the penguin slides onto a horizontal patch of sand.The coefficient of kinetic friction between the penguin and the sand is the same for the incline as for the horizontalpatch. Calculate much time is required for the penguin to slide to a halt after entering the horizontal patch of sand.
- Consider an object on a frictionless incline. Express the acceleration of any object down a frictionless incline that makes an angle 0 with horizontal. Assume down the incline is positive.Consider a skier heading down a 11° slope. Assume the coefficient of friction for waxed wood on wet snow is μk = 0.10 and use a coordinate system in which down the slope is positive. a. Calcuate the magnitude of the acceleration of the skier in m/s2 b. Find the angle, in degrees, of the slope on which this skier could move down the slope at constant velocityAn athlete pulls a box E of mass m = 70kg down an incline, as shown. The coefficients of friction between the box and the incline are us=0.40 and uk=0.30. Consider particle analysis of the instant when the force used to pull is 300N. Let = 300 and a = 120. Use the indicated coordinate axes. E 0 What is the friction force as the box moves down the incline? Hint: the normal force between the box and the incline is N=393.8N.