**Work-Energy Theorem- Spring Constants and Energy**

Obj: Determine the spring constant k of a spring
using energy conservation.

**Materials: **meter stick, jump-up toy (Oriental Trading Co.*), balance

**Procedures:**

1. Determine the mass of the jump-up
toy to 1.0 x 10^{-4} kg.

2. Measure to the nearest 1.0 x
10^{-3 } m the exact distance the
spring will compress on the jump-up toy in the locked position.

3. Compress the spring until the
toy locks.

4. Estimate the vertical height
the toy jumps for five trials. Determine the average.** **

**Analysis** (*Show all equations, calculations, and
units throughout*.)

1. From the height (h) the toy
jumped, determine the V_{y} component of
velocity.

2. Calculate the increase in
gravitational potential energy of the toy at the height h.

3. Using the equations of the
Work-Energy Theorem, determine the spring constant k of the toy's spring using
the

(a) final gravitational potential energy or (b) initial
kinetic energy.

4. Compare your answers for k
with others in the class and draw a conclusion about height h and k.

5. How could the toy be
manufactured to make it go higher? List
at least two ways.

6. How much work did you do
compressing the spring, and what final force did you apply (F = kx)?

(*Use of toy does not endorse the Oriental
Trading Co.)

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