Slingshot

Slingshot#

A slingshot made of two springs with spring constant \({{params.K}} \ \rm{N/m}\) is loaded with a mass \(m={{params.m}} \ \rm{kg}\). When relaxed, the springs have a length \(x_0={{params.x0}} \ \rm{m}\). Using a rope, someone pulls the mass \(d={{params.d}} \ \rm{m}\) from its rest state.

Two springs are diagonally pulled back with a horizontal force that holds the center of the slingshot a distance d from its rest state.

Part 1#

How much tension is in the rope?

Answer Section#

Please enter in a numeric value in \(N\).

Part 2#

If the rope is cut, with what speed does the mass leave the slingshot? Assume all the energy in the springs is transferred to the mass.

Answer Section#

Please enter in a numeric value in \(m/s\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.