A block of mass m is located on an inclined plane that makes an angle withthe horizontal. The coefficient of kinetic friction between the block and the inclined plane is μ₁. Theblock presses against, but is not attached to, a spring with constant k₁. When the spring is at itsequilibrium position, the block is at a height h above the ground, as shown. The initial position ofthe block, from which it is released, is a bit further up the inclined plane such that the spring isinitially compressed by Ax. At the bottom of the inclined plane is a horizontal plane with a differentcoefficient of friction, μ2, for the first distance, d, after which the surface is frictionless, and theequilibrium position of a spring with constant k₂ is encountered.Part (a) Suppose that numeric values aresuch that block comes to rest before reaching thethe ramp. Let xdistancetraveled from the equilibrium position of the block towards the bottom of the ramp. Enter an expression for x.Part (b) Suppose that the block has mass m = 2.7 kg, the angle of the plane with the horizontal is = 55°, the coefficient of friction between theblock and the inclined plane is µ₁ = 0.27, the height of the block when the spring is at its equilibrium length is h = 0.55 m, the spring constant isk₁ = 37 N/m, and the initial compression of the spring is Ax = 0.12 m. With these values, the block will reach the bottom of the ramp.. Find the speed, inmeters per second, of the block when it reaches the end of the ramp. Treat the block as a point.Part (c) Once the block reaches the bottom, it encounters a new coefficient of friction, µ2 = 0.085. What distance, æ, in meters, could the blocktravel on this surface before stopping if no obstacles were in the way? Assume the size of the block is negligible and that it transitions smoothly from the rampto the horizontal plane.Part (d) The block travels a distance d = 0.11 m along the surface with friction coefficient 2 = 0.085. The horizontal surface then becomestrictionless, at the equilibrium position of a spring with constant k₂ = 5.2 N/m. Calculate the distance, As, in meters, by which the spring is compressed asthe block comes to rest.h0μ₁₂wwwd

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