A block of mass 451 g is pushed against the spring (located on theleft-hand side

Question

A block of mass 451 g is pushed against the spring (located on theleft-hand side of the
track) and compresses the spring a distance 4.7 cm from itsequilibrium position . The block starts from rest, is acceleratedby the compressed spring,and slides across a frictionlesshorizontal track(as shown in the figure below). It leaves the trackhorizontally, flies through the air, and subsequently strikes theground.

The acceleration of gravity is 9.81 m/s2 .


What is the spring constant?
Answer in units of N/m.

Explanation / Answer

I'll assume the horizontal distance it flies is x since you didn'tgive a number. Also the height of the table can be h for the samereason. 1/2gt^2 = h. t = (2h/g)^.5. Let v be the horizontal velocity of theblock. v = x/t. 1/2mv^2 = 1/2k(.047)^2 by conservation of energy. Compute k fromthis.

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