Rubber bands and springs do not apply a constant force. Instead the force they a

Question

Rubber bands and springs do not apply a constant force. Instead the force they apply is proportional to the amount by which they're stretched or compressed. You have a slingshot. You use the force probe and motion sensor to measure how much force it takes to stretch the slingshot's elastic by different amounts. Your results are shown in the graph.

a. What is the work done to pull the slingshot back 80.0 cm? Describe how you find the work using the data given.

b. A mean kid takes your slingshot and loads slingshot 1.0 meter off the ground. Before does it have?

c. The rock is released. As soon as the rock leaves the rubber band what kind(s) of energy does it have? How fast will it be going as soon as it's free of the rubber band?

d. The rock is launched horizontally at a height of 1.0 m above the ground. The moment before it hits the ground, what kind(s) of energy does the rock have? What will be its overall speed when it hits the ground?

Explanation / Answer

a. work done = area under force-distance graph = 1/2 x 30 x 0.8 = 12 J

b. energy stored at 1.0 m = 1/2 x 1 x 40 = 20 j

c. it is having kinetic energy and potential energy.

if m is the mass of the rock and v is the speed

then, equation is 1/2mv^2 + mg(1)= 20 1m denotes the height of the band above the ground

d. kinetic energy

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