An inclined plane of angle θ = 20.0° has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. For (a), (b) and (c), the whole path is frictionless. (a) What is the initial gravitational potential energy of the block? Reference point : tip of the uncompressed spring. (b) What is the initial kinetic energy of the block? (c) When the block is
An inclined plane of angle θ = 20.0° has a spring of force constant k = 500 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure. A block of mass m = 2.50 kg is placed on the plane at a distance d = 0.300 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. For (a), (b) and (c), the whole path is frictionless.
(a) What is the initial gravitational potential energy of the block? Reference point : tip of the uncompressed spring.
(b) What is the initial kinetic energy of the block?
(c) When the block is projected downward, by what distance is the spring compressed when the block momentarily comes to rest? Consider gravitational potential energy of the block to be zero at this point.
(d) If there is friction along the incline (μ = 0.1), by what distance is the spring compressed when the block momentarily comes to rest? Use the same initial energy values as in (a) and (b).
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