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    A Discussion On Compressed Springs And Spring Constants

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    In a physics lab experiment, a compressed spring launches a 22g metal ball at a 35 degree angle. Compressing the spring 19cm causes the ball to hit the floor 2.0m below the point at which it leaves the spring after traveling 5.4m horizontally.

    What is the spring constant?

    k = __________________ N/m

    © BrainMass Inc. brainmass.com December 24, 2021, 10:22 pm ad1c9bdddf
    https://brainmass.com/physics/energy/discussion-compressed-springs-spring-constants-467937

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    Spring Question-Compressed Spring
    In a physics lab experiment, a compressed spring launches a 22g metal ball at a 35 degree angle. Compressing the spring 19cm causes the ball to hit the floor 2.0m below the point at which it leaves the spring after traveling 5.4m horizontally.
    What is the spring constant?
    k = __________________ N/m

    Let the spring constant be K and the velocity of the ball just after it released is v.
    As the elastic potential energy stored in the spring compressed by L is given by
    U = ½ K L2
    Using law of conservation of mechanical energy the velocity of projection v is given by
    Gain in kinetic energy = loss in elastic potential energy
    Or
    Or --------------------- (1)
    Now for a projectile motion using the equation of trajectory (point of projection as origin and upward direction positive) is written as

    Here  is the angle of projection and (x, y) is the coordinates of any point on the trajectory.
    Now in our case as (x, y) = (5.4 m, - 2.0 m) and  = 35 deg, substituting in above equation of trajectory we get

    Or
    Or
    Gives
    Substituting this in equation (1) with other values we get

    Or
    Thus the spring constant of the spring is 22 N/m.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 10:22 pm ad1c9bdddf>
    https://brainmass.com/physics/energy/discussion-compressed-springs-spring-constants-467937

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