Assignment 6.1 – Work done by a Spring Force

  1. A weight of 12 N causes a spring to stretch 3.0 cm. What is the spring constant (k) of the spring?
  1. Two springs have spring constants of 10.0 N/cm and 15.0 N/cm. Which spring is more difficult to stretch?
  1. The graph below shows the relationship between the force applied to a spring and the spring’s stretch. What is the spring constant of the spring?
  1. An unstretched spring with a spring constant of 100 N/m stretches a distance of 0.40 m when a mass is attached to the spring. What must the size of the mass be?
  1. A spring stretches by 18 cm when a bag of potatoes weighing 56 N is suspended from its end.

(a)Determine the spring constant.

(b)How much elastic potential energy is stored in the spring when it is stretched this far?

  1. How much force is necessary to stretch a spring 0.25 m when the spring constant is 95 N/m?
  1. A spring has a spring constant of 56 N/m. How far will it stretch when a block weighing 18 N is hung from its end?
  1. What is the spring constant of a spring that stretches 12 cm when an object weighing 24 N is hung from it?
  1. A spring with a spring constant of 144 N/m is compressed by a distance of 16.5 cm. How much elastic potential energy is stored in the spring?
  1. A spring has a spring constant of 256 N/m. How far mustit be stretched to give it an elastic potential energy of 48 J.
  1. A high-altitude bungee jumper jumps from a hot-air balloon using a 540 m bungee cord. When the jump is complete and the jumper is just suspended from the cord, it is stretched 1710 m. What is the spring constant of the bungee cord if the jumper has a mass of 68 kg?
  1. A spring and block are in the arrangement of the figure below.

When the block is pulled out to x = + 4.0 cm, we must apply a force of magnitude 360 N to hold it there. We pull the block to x = 11 cm and then release it. How much work does the spring do on the block as the block moves from to (a) (b) (c) (d) .

  1. How much work is done by a force , with x in meters, that moves a particle from a position to a position ?
  1. What is the spring constant of a spring that stores 25 J of elastic potential energy when compressed by 7.5 cm?
  1. A spring with a spring constant of 1,200 newtons per meter hangs from the ceiling. What mass should you hang on it to make it stretch 4.5 centimeters?
  1. When a 225-g mass is hung from a spring, the spring stretches 9.4 cm. The spring and mass then are pulled 8.0 cm from this new equilibrium position and released. Find the spring constant of the spring and the maximum speed of the mass.
  1. A spring with a spring constant of 350 N/m pulls a door closed. How much work is done as the spring pulls the door at a constant velocity from an 85.0 cm stretch to a 5.0 cm stretch?

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