A block sliding along a frictionless, horizontal surface with a speed of 0.5 m/s collides with a spring attached to a wall. The spring is compressed 11.0 cm before the block is stopped. If the same block were to collide with the spring again while having a speed of 3.5 m/s, what would the spring's compression be before stopping the block this time, in centimetres? mud
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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…An object of mass m = 3.0 kg is released from rest at the top of the incline plane below. What is the velocity of the block at the bottom if the plane has uk=0.31? answer must be in m/sQUESTION 25 A block with a mass of m slides at a constant velocity Vo on a horizohtal frictionless surface. The block collides with a spring and comes to rest when the spring is compressed to the maximum value. If the velocity of the block was doubled, what is the new maximum compression in the spring? The compression of the spring would be double (2x) the original compression A. В. The compression of the spring would be half (1/2x) the original compression. С. c The compression of the spring would be the same as the original compression. D. The compression of the spring would be a quarter (1/4x) the original compression. E. The compression of the spring would be quadruple (4x) the original compression
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- A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure. a. Find her final speed right at the top, in meters per second, given that the coefficient of friction between her skis and the snow is 0.36.A 3.0-kg block (A) is attached to a 1.0-kg block (B) by a massless spring that is compressed and locked in place, as shown in the figure. The blocks slide without friction along the x-direction at an initial constant speed of v = 2.0 m/s. At Lee A A 000 B ell time to 0 s, the positions of blocks A and B are %3D 1.2 m, respectively, at which point a mechanism releases the spring, and the blocks begin to XA.i = 1.0 m and xB.i = XB.r oscillate as they slide. If 2.0 s later block B is located at xB.f = 7.5 m, what will be the position xA.f %3D of block A? XA,fA person standing on the edge of a 30.0m tall building is holding a ball with a mass of 1.50kg. The person throws the ball with a velocity of 12.0m/s straight down. Calculate the maximum speed of the ball.