physics
posted by Anonymous .
A horizontal slingshot consists of two light, identical springs (with spring constants of 37.7 N/m) and a light cup that holds a 1.37kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.7 m to the left of the vertical and then released.

Is there a question here?

(a) Stretch in the spring is
L₁=sqrt(x²+L₀²) = sqrt(0.7² +0.5²)=0.86 m
Elongation is
Δx= L₁L₀= 0.860.5=0.36 m.
E(total) = PE=2•k•Δx²/2=2•37.7•0.36²/2=4.9 J.
(b) PE=KE =mv²/2
v=sqrt(2•PE/m) = sqrt(2•4.9/1.37) = 2.67 m/s 
A horizontal slingshot consists of two light, identical springs (with spring constants of 45.7 N/m) and a light cup that holds a 1.37kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they line up vertically. Suppose that the cup containing the mass is pulled to x = 0.7 m to the left of the vertical and then released. Determine
a) the system’s total mechanical energy.
Tries 0/4
b) the speed of the stone at x = 0.
Respond to this Question
Similar Questions

Calculus based Physics  Springs
A 0.49 kg ladle sliding on a horizontal frictionless surface is attached to one end of a horizontal spring (k = 640 N/m) whose other end is fixed. The ladle has a kinetic energy of 260 J as it passes through its equilibrium position … 
physics
A uniform 1.3kg rod that is 0.80 m long is suspended at rest from the ceiling by two springs, one at each end of the rod. Both springs hang straight down from the ceiling. The springs have identical lengths when they are unstretched. … 
physics
A slingshot consists of a light leather cup attached between two rubber bands. It takes a force of 25 N to stretch the bands 1.1 cm. a) What is the equivalent spring constant of the rubber bands? 
physics
A slingshot consists of a light leather cup attached between two rubber bands. It takes a force of 33 N to stretch the bands 1.3 cm. A) what is the equivalent spring constant of the rubber bands? 
Physics
An object with a mass of 20.1 kg is hung from two identical springs vertical. The springs both stretch 0.23 meters from equilibrium with the attached mass. One of the those springs is placed on a horizontal surface without friction … 
physics
A light spring with spring constant 1 200 N/m is hung from an elevated support. From its lower end hangs a second light spring, which has spring constant 1 800 N/m. An object of mass 1.50 kg is hung at rest from the lower end of the … 
Physics
The figure below shows two springs connected in parallel. This combination can be thought of as being equivalent to a single spring having an effective force constant keff. Obviously, the effective force constant must be related to … 
Physics
The figure below shows two springs connected in parallel. This combination can be thought of as being equivalent to a single spring having an effective force constant keff. Obviously, the effective force constant must be related to … 
physics
A horizontal slingshot consists of two light, identical springs (with spring constants of 23.7 N/m) and a light cup that holds a 1.97kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium, they … 
Physics
Two identical massless springs are hung from a horizontal support. A block of mass 3.2 kg is suspended from the pair of springs.The acceleration of gravity is 9.8 m/s^2. When the block is in equilibrium, each spring is stretched an …