During a rugby game two players are running toward each other. One has a mass of 78.8 kg and the other has a mass of 58.1 kg. The player who has the bigger mass is running at 1.60 m/s and the other is running at 4.60 m/s. They hit each other, fall to the ground and slide while attached to each other. If the coefficient of kinetic friction between the players and the ground is 0.300, how far did they slide?
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- Two sprinters leave the starting gate at the same time at the beginning of a straight track. The masses of the two sprinters are 58.5 kg and 66.5 kg. A few seconds later, the first sprinter is ahead of the second by a distance 5.1 m. How far ahead of the second sprinter is the center of mass of these two sprinters, in meters? If the speeds of the sprinters are 4.9 m/s and 2.2 m/s, respectively, how fast, in meters per second, is the center of mass moving? What is the momentum of the center of mass, in kilogram meters per second? How is the momentum of the center of mass related to the total momentum of the sprinters?A metal object of mass m = 45.77 g with sharp edges hits a wooden block of mass M = 425.3 g at rest on a horizontal surface. Assume that the coefficient of kinetic friction between the block and the surface μk is 0.43. When the metal object hits the block, it is stuck with the block and both start to slide together with velocity vf. They move together after the collision, and stop after sliding ∆x = 1.95 m. What is the initial velocity vi of the metal object before it hits the block in m/s? Keep three significant figures for the answer.Blocks A, B, and C are placed as shown in the figure and connected by ropes of negligible mass through the pulleys of neglible mass and friction. Both blocks A and B have mass mA=mB= 2.5 kg each while the mass of block C is mC= 6.5kg . The coefficient of kinetic friction between blocks A and B and the surface is μk= 0.4. Initially, the system is at rest. Once released, the blocks move rightward, Find the magnitude of the acceleration of the system. Find the magnitude of the tension in the cord connecting blocks A and B. How far does block A move in the first 0.5 s (assuming it does not reach the pulley)?
- John’s mass is 87.7 kg, and Barbara’s is 59.9 kg. He is standing on the x axis at xJ = +10.3 m, while she is standing on the x axis at xB = +2.10 m. They switch positions. How far and in which direction does their center of mass move as a result of the switch?Three ice skaters meet at the center of a rink and each stands at rest facing the center, within arm's reach of the other two. On a signal, each skater pushes himself away from the other two across the frictionless ice. After the push, skater A with mass mA = 85.0 kg moves in the negative y-direction at 3.00 m/s and skater B with mass mB = 95.0 kg moves in the negative x-direction at 4.00 m/s. Find the x- and y-components of the 90.0 kg skater C's velocity (in m/s) after the push. vCx = vCy =Q5/5 In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h = 2 m and then collides with stationary block 2, which has mass m2 = 4m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction μk is 0.3 and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic?
- A system consists of 2 objects separated by a distance of 7.49m. Object #1 has a mass of 8.08kg and is located a distance of 2.13m away from the center of mass (CM) of the system. The mass of Object #2 is kg.An interacting system of two objects has no external force acting on the system. The firstobject has a mass 2.00 kg and is moving with a velocity (2.00 m/s)i + (1.00 m/s)j at time t =0.00 s. The second object has a mass 3.00 kg and is moving with a velocity (-1.00 m/s)i +(1.00 m/s)j at time t = 0.00 s. The second object is moving with a velocity (2.00 m/s)i +(-1.00 m/s)j at time t = 1.00 s. What is the velocity of the first object at t = 1.00 s?