A block falls from a table 6 m high. It lands on an ideal, massless, vertical spring with a force constant of 2.4 kN/m. The spring is initially 25 cm high, but it is compressed to a minimum height of 10 cm before the block is stopped. Find the mass of the block.
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A block falls from a table 6 m high. It lands on an ideal, massless, vertical spring with a force constant of 2.4 kN/m. The spring is initially 25 cm high, but it is compressed to a minimum height of 10 cm before the block is stopped. Find the mass of the block.
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- The only force acting on a 3.6 kg body as it moves along the positive x axis has an x component Fx = -7x N, where x is in meters. The velocity of the body at x = 2.2 m is 11 m/s. (a) What is the velocity of the body at x = 4.6 m? (b) At what positive value of x will the body have a velocity of 3.4 m/s? (a) Number Units (b) Number UnitsThe only force acting on a 3.6 kg body as it moves along the positive x axis has an x component Fx = - 5x N, where x is in meters. The velocity of the body at x = 1.8 m is 9.0 m/s. (a) What is the velocity of the body at x = 4.1 m? (b) At what positive value of x will the body have a velocity of 2.5 m/s?A student of mass 63 kg falls freely from rest and strikes the ground. During the collision with the ground, he comes to rest at a time of 0.04 seconds. The average force exerted on him by the ground is 18,000 N, where the upward direction is taken to be a positive direction. From what height did the student fall? Assume that the only force acting on him during the collision is only due to the ground
- Case 2: A 450 kg roller coaster car starts at the top of a 35.6 meter high hill, with a velocity of 3.4 m/s. Point B is at the top of a second hill which is 22.7 meters high. After traveling down the second hill, the car reaches ground level. It travels across a flat section, where the force of friction is 78.7 N. Point C is located 11.8 meters into the flat section. Point A B с Gravitational Potential Energy Elastic Potential Energy Kinetic Energy Energy Lost to Friction Total Mechanical EnergyA robot drops a 1.2kg package from the roof of a building 12.4m tall. Ignoring wind resistance, with what force does the package hit the ground? A second robot drops a Nerf ball off the same roof, 12.4 m tall. The Nerf ball has a mass of 0.001kg. Which one (package or Nerf ball) hits the ground sooner?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=
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- 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…A 86.0 kg diver steps off a 10.0 m high diving board and drops, from rest, straight down into the water. If he comes to rest 7.20 m beneath the surface of the water, determine the average resistive force exerted by the water.