physics

A horizontal slingshot consists of two light, identical springs (with spring constants of 37.7 N/m) and a light cup that holds a 1.37-kg 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.

  1. 👍 0
  2. 👎 0
  3. 👁 215
  1. Is there a question here?

  2. (a) Stretch in the spring is
    L₁=sqrt(x²+L₀²) = sqrt(0.7² +0.5²)=0.86 m
    Elongation is
    Δx= L₁-L₀= 0.86-0.5=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

    1. 👍 0
    2. 👎 0
    posted by Elena
  3. A horizontal slingshot consists of two light, identical springs (with spring constants of 45.7 N/m) and a light cup that holds a 1.37-kg 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.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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 1.97-kg stone. Each spring has an equilibrium length of 50 cm. When the springs are in equilibrium,

    asked by alam on July 21, 2014
  2. physics

    A uniform 1.3-kg 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

    asked by sammie on December 1, 2010
  3. 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

    asked by Johnathon on January 17, 2016
  4. 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

    asked by sagor on February 16, 2013
  5. physics help!

    Two springs P and Q both obey Hooke’s law. They have spring constants 2k and k respectively.The springs are stretched, separately, by a force that is gradually increased from zero up to a certain maximum value, the same for each

    asked by Taylor on October 28, 2014
  6. physics

    Now, three masses (m1 = 3.1 kg, m2 = 9.3 kg and m3 = 6.2) hang from three identical springs in a motionless elevator. The springs all have the same spring constant given above. x = 9cm What is the magnitude of the force the bottom

    asked by laura on October 13, 2018
  7. physics

    a circuit consists of two identical parallel metallic plates connected by identical metallic springs to a 102V battery. With the switch open, the plates are uncharged, are separated by a distance d=7.80mm, and have a capacitance

    asked by Tracy on September 29, 2010
  8. Physics

    A single mass (m1 = 3.2 kg) hangs from a spring in a motionless elevator. The spring constant is k = 253 N/m. 1) What is the distance the spring is stretched from its unstretched length? This first answer is equal to 12.4 cm but I

    asked by Cam on February 21, 2014
  9. 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

    asked by Chelsea on November 15, 2012
  10. Physics

    After school you have been working on your slingshotmanship. Interested in the physics of the slingshot, you take data that compares the force of the extended slingshot versus the displacement from equilibrium. You think this

    asked by Anonymous on December 1, 2016

More Similar Questions