A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15ms1. How long does the body take to stop?
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- Sometimes, steep roads going down have a small safety road by the side that goes up, which vehicules can use in an emergency, to slow down. A 3362.6 kg truck has lost its brakes coming down a mountain. Fortunately, there is a ramp of thick gravel inclined at 14 degrees that the driver can use to stop the truck. The truck hits the ramp moving at 20.58 m/s and then travels 35.6 meters up the ramp before it comes to a stop. What work is done by the gravel to stop the truck?A student (m = 58 kg) falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest in a time of 0.04 s. The average force exerted on him by the ground is +18000 N, where the upward direction is taken to be the positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is that due to the ground. H=You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…
- Your answer is partially correct. The only force acting on a 4.5 kg body as it moves along the positive x axis has an x component F,= -4x N, where x is in meters. The velocity of the body at x = 1.4 m is 10 m/s. (a) What is the velocity of the body at x = 3.2 m? (b) At what positive value of x will the body have a velocity of 2.0 m/s? (a) Number 9.62 (b) Number 1.94 eTextbook and Media Units Units m/s mvo t = 0 t = 3.5 s vo = (2.5i + 3.5j) m/s i = (-2.51) m/s The velocity of a 3.0-kg object is shown at two times. What was the magnitude of the average force exerted on the object between t= 0 and t = 3.5s? O 1.74 N O 6.26 N O 14.7 N O 3.23 N O 0.845 NA 6.3-kg toboggan is kicked on a frozen pond, such that it acquires a speed of 2.2 m/s to the right. The coefficient of friction between the pond and the toboggan is 0.18. Determine the distance that the toboggan slides before coming to rest. Answer: m (round to the nearest hundredth)
- Michael fell asleep while driving home from school. His 1255 kg car hit a guardrail while moving at 15.98 m/s. The guardrail exerted a 6.110E4 N force on the car for 0.1233 s. After the car hit the guardrail, how fast was it moving?A shopper in a supermarket pushes a loaded cart with a horizontal force of 8 N. The cart has a mass of 26 kg. (a) How far will it move in 7.0 s, starting from rest? (Ignore friction.) m(b) How far will it move in 7.0 s if the shopper places his 30 N child in the cart before he begins to push it?