A slingshot consists of a rubber strap attached to a y-shaped frame, with a smal

Question

A slingshot consists of a rubber strap attached to a y-shaped frame, with a small pouch at the center of the strap to hold a rock or other small projectile. The rubber strap behaves like a spring. Suppose that for a particular slingshot a spring constant of 600 N/m is measured for the rubber strap. The strap is pulled back approximately 40cm (.4m) prior to being released. A) What is the potential energy of the system prior to release? B) What is the maximum possible kinentic energy that can be gained after release? C) If the rock has a mass of .05kg what is the maximum possible velocity after release?

Explanation / Answer

A) the formula is 1/2 k x^2 => Potential energy. 1/2 * 600 * (0.4)^2 = 48 J B) The maximum possible Kinetic energy can be calculated from the concept that, The total Potential energy gets converted to Kinetic Energy. Therefore ans = 48 J. C) Maximum possible velocity after release can be calculated from its kinetic energy. 1/2 mv^2 = 48 J V^2 = (48 * 2)/m {{{{{{mass is given: 0.05 kg}}}}}}} V = sqroot of [(48 * 2)/m] v= 48.817 m/s

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