1. Nov 5, 2008

### RAKINMAZID

1. The problem statement, all variables and given/known data
A block is pushed against the spring with spring constant 5.7 kN/m (located on the left-hand side of the track) and compresses the spring a distance 4.6 cm from its equilibrium position. The block starts at rest, is accelerated by the compressed spring, and slides across a frictionless track except for a small rough area on a horizontal section of the track. It leaves the track horizontally, flies through the air, and subsequently strikes the ground. The acceleration of gravity is 9.8 m/s^2.

1) What is the speed v of the block when it leaves the track?

2) What is the horizontal distance x the block travels in the air?

3) What is the total speed of the block when it hits the ground?

2. Relevant equations

KE = (1/2)mv^2
Ue = (1/2)kx^2

3. The attempt at a solution

To find velocity I set KE equal to Ue (def. of conservation of energy)
(1/2)mv^2 = (1/2)kx^2
mv^2 = kx^2

v = sqrt [(kx^2)/m]

2. Nov 6, 2008