A block is pushed against the spring with spring constant 13 kN/m (located on th

Question

A block is pushed against the spring with
spring constant 13 kN/m (located on the left-
hand side of the track) and compresses the
spring a distance 5.3 cm from its equilibrium
position (as shown in the figure below).
The block starts at rest, is accelerated by
the compressed spring, and slides across a fric-
tionless track (as shown in the figure below).
It leaves the track horizontally, flies through
the air, and subsequently strikes the ground.
The acceleration of gravity is 9.81 m/s2 .

q1)What is the speed v of the block when it
leaves the track?
Answer in units of m/s

q2)What is the horizontal distance x the block
travels in the air?
Answer in units of m

q3)What is the total speed of the block when it
hits the ground?
Answer in units of m/s

Explanation / Answer

By conservation of energy, 1/2 kx^2 = 1/2 mv^2 13*10^3 * 0.053^2 = mv^2 As the figure is not given, I don't know 'm' value. Substitute the 'm' value here and find out 'v' for the q1 part. Without figure, it is not possible to answer 2 &3

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