A sled and rider, weighing 30 lb and 150 lb, respectively, travel down a smooth slope that has the shape shown. If the rider does not hold on to the sides of the sled, determine the normal force which he exerts on the sled when the sled is (a) at point B, where it has a velocity of 15 ft/s, and (b) at some point C in mid air.
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- A block on a horizontal frictionless surface with mass m=6.1 kg is connected to a 3.2 kg hanging mass by means of a light wire that passes over a frictionless pulley. Find the magnitude of the acceleration of the two blocks.A warehouse worker pushes a box with a mass of 11.6 kg in a horizontal plane at a constant speed of 3.4 m / s. Calculate the horizontal force that the worker must apply in order to keep this motion, if the kinetic coefficient of friction between the box and the surface is µ = 0.21.Two blocks are positioned on surfaces, each inclined at the same angle of 47.2 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 7.58 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 1 7.71 kg 2 11.57 kg 3 6.08 kg 4 17.36 kg
- Suppose that Zak's younger cousin, Greta, sees him sliding across the hall and takes off her shoes so that she can slide as well (assume her socks have the coefficient of kinetic friction of 0.250). Instead of getting a running start, she asks Zak to give her a push. So, Zak pushes her with a force of 125 N over a distance of 1.00 m. If her mass is 20.0 kg, what distance d does she slide after Zak's push ends? Remember that the frictional force acts on Greta during Zak's push and while she is sliding after the push.Two blocks are positioned on surfaces, each inclined at the same angle of 55.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 2.73 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? a. 2.65 kg b. 3.97 kg c. 1.23 kg d. 5.96 kgTwo blocks are positioned on surfaces, each inclined at the same angle of 42.7 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 4.44 kg, and this time there is NO friction. What is must be the mass of the white block if both blocks are to slide to the LEFT at an acceleration of 1.5 m/s^2? 7.03 kg 2.94 kg 10.55 kg 4.69 kg
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- The coefficients of friction between a box of mass 9.5 kg and the horizontal floor beneath it are ?? =0.65 ??? ?? = 0.49. The box is stationary. The magnitude of the minimum force that would suffice to setthe box into motion is ? .A parachutist whose mass is 75 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 = 20 N-sec/m when the chute is closed and b₂ = 100 N-sec/m when the chute is open. If the chute does not open until the velocity of the parachutist reaches 30 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.