Rubber bands and springs do not apply a constant force. Instead the force they a
ID: 1480211 • Letter: R
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. You take your slingshot and load it with a 50.0 g rock. You hold the loaded slingshot 1.0 meter off the ground. Before the rock is released what kind(s) of energy does it have?
b. The rock is released. How fast will it be going as soon as it's free of the rubber band?
c. The rock is launched horizontally at a height of 1.0 m above the ground. What will be its overall speed when it hits the ground?
40 30 20 10 02 04 06 08 1 Distance [m]Explanation / Answer
a) It has gravtational and eleastic potential energy
b) Apply conservation of energy
0.5*m*v^2 = 0.5*k*x^2
v = x*sqrt(k/m)
= 1*sqrt(50/0.05)
= 31.6 m/s
c) vx = 31.6 m/s
vy = sqrt(2*g*h)
= sqrt(2*9.8*1)
= 4.43 m/s
so, overall speed of rock, v = sqrt(vx^2 + vy^2)
= sqrt(31.6^2 + 4.43^2)
= 31.9 m/s
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