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At a waterpark, sleds with riders are sent along a slippery, horizontal surface

ID: 1977963 • Letter: A

Question

At a waterpark, sleds with riders are sent along a slippery, horizontal surface by the release of a large, compressed spring. The spring with a force constant = 4500 and negligible mass rests on the frictionless horizontal surface. One end is in contact with a stationary wall. A sled and rider with total mass 72.0 are pushed against the other end, compressing the spring 0.380 . The sled is then released with zero initial velocity. What is the sled's speed when the spring returns to its uncompressed length?

Explanation / Answer

this is a problem of energy conservation potential energy of spring at time of releasing the mass=kinetic energy of mass at spring uncompressed length kx^2/2=mv^2/2 4500*(0.380)^2=72*v^2 v=3m/sec

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