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 it with a 50.0 g rock. The kid holds the loaded slingshot 1.0 meter off the ground. Before the rock is released what kind(s) of energy 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 is W = area under curve upto (0.8,30) = 0.8*30 = 24 J

B) gravitational potntial energy and elastic potential energy

C) gravitaional potential energy and kinetic energy

D) using law of conservatiuon of energy

m*g*h + 0.5*m*u^2 = 0.5*m*v^2

but 0.5*m*u^2 = 24 J

then (0.050*9.81*1)+(24) = 0.5*0.050*v^2

v = 31.3 m/s is the speed of the rock when it was hitting the ground

it has only kinetic energy at the ground

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