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A block is pushed against the spring with spring constant 8.5 kN/m (located on t

ID: 2177538 • Letter: A

Question

A block is pushed against the spring with
spring constant 8.5 kN/m (located on the lefthand side of the track) and compresses the
spring a distance 5.3 cm from its equilibrium
position (as shown in the ?gure below).
The block starts at rest, is accelerated by
the compressed spring, and slides across a frictionless track (as shown in the ?gure below).
It leaves the track horizontally, ?ies through
the air, and subsequently strikes the ground.
The acceleration of gravity is 9.81 m/s^2

What is the speed v of the block when it
leaves the track?
Answer in units of m/s

Explanation / Answer

applying conservation of energy
0.5kx^2=0.5mV^2
8.5x10^3x5.3^2x10^-4=mv^2
v=4.89/m m/sec

put value of mass m and get the answer

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