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. 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?

Explanation / Answer

A) since the slingshot is at a height of 1 m from the ground and it was loaded

then it have gravitational potential energy and elestic potential energy

B) using the law of conservation of energy

if it was streched by 0.8m

then 0.5*k*x^2 = 0.5*m*u^2

force consatnt k = F/x = 30/0.8 = 37.5 N/m

0.5*37.5*0.8*0.8 = 0.5*0.05*u^2

u =21.9 m/s

C) using law of conservation of energy

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

m cancels

(0.5*21.9*21.9) +(9.81*1) = (0.5*v^2)

v = 22.34 m/s

Related Questions

Navigate

• Browse (All)
• Browse R
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.