Calculate the Work Required to Stretch the Following Springs

Assume Hookes law is obeyed. Math Calculus QA Library Calculate the work required to stretch the following springs 06 m from their equilibrium positions.


Hooke S Law Calculator

Assume Hookes law is obeyed.

. 9 inches 34 foot b So lets substitute again with k. Assume Hookes law is obeyed. Math Calculus QA Library Calculate the work required to stretch the following springs 05 m from their equilibrium positions.

Set up the integral that gives. W12 a0 b1 So lets substitute these in. 18 k 4.

A spring that requires 100 J of work to be stretched 05 m from its equilibrium position. A spring that requires a force of 50 N to be stretched 02 m from its equilibrium position b. A spring that required a force of 60 N to be stretched 02 m from its equilibrium position.

A spring that required a force of 50 N to be stretched 010 m from its equilibrium position. F kx F kx. A spring that required 50 J of work to be stretched 01 m from its equilibrium position.

Calculate the work required to stretch the following springs 125 m from their equilibrium positions. A spring that requires 100 J of work to be. A spring that required 40 J of work to be stretched 01 m from its equilibrium position.

A spring that requires 50 J of work to be stretched 02 m from its equilibrium position. A spring that required 60 J of work to be stretched 010 m from its equilibrium position. Check the units.

Nm m N. Compute the following limit W lim n n i 1 98 640 9 π x i 2 15 x i Δ x W lim n i 1 n 98 640 9 π x i 2 15 x i Δ x. Calculate the work required to stretch the following springs 06 m from their equilibrium positions.

The answer is 274 ft-lbs. My attempts at this problem have led to a dead end. Integrating Fxkx we get the formula for the elastic energy stored in a spring the work to stretch the spring from equilibrium.

Assume Hookes law is obeyed. A spring that requires 50 J of work to be stretched 02 m from its equilibrium position. Calculating work for different springs Calculate the work required to stretch the following springs 125 m from their equilibrium positions.

A spring that required 80 J of work to be stretched 04 m from its equilibrium position b. A spring that requires 2 J of work to be stretched 01 m from its equilibrium position. Calculate the work required to stretch the following springs 05 m from their equilibrium positions.

A spring that required 4040 J of work to be stretched 0101 m from its equilibrium position. Calculate the work required to stretch the following springs 0606 m from their equilibrium positions. The Work to Stretch or Compress a Spring calculator compute the work based on the spring constant k and the displacement x.

Wint_ab kx dx k int_ab x dx Heres what we know. A spring that requires a force of 50 N to be stretched 01 m from its equilibrium position. A spring that requires 2 J of work to be stretched 01 m from its equilibrium position.

A spring that required 50 J of work to be stretched 02 m from its equilibrium position. Wint_034 24xdx 24x22_034 12342 274 ft-lbs Always set up the. You can now calculate the acceleration that the spring.

Hookes law is obeyed. Here is one of the four that I have tried. A spring that requires a force of 250 N to be stretched 05 from its equilibrium position.

Eighteen foot-pounds of work is required to stretch a spring 4 inches from its natural length. To get the actual amount of work we simply need to take n n. 12kx22_01 12k12-0 24k Now.

Calculate the work required to stretch the following springs 05 m from their equilibrium positions. Calculate the work required to stretch the following springs 05 m from their equilibrium positions. The good news its a simple law describing a linear relationship and having the form of a basic straight-line equation.

Assume Hookes law is obeyed. The extra term k is the spring constant. A spring that required a force of 4040 N to be stretched 0101 m from its equilibrium position.

Assume Hookes law is obeyed. Assume Hookes law is obeyed. This limit of a summation should look somewhat familiar to you.

Calculate the work required to stretch the following springs 125 m from their equilibrium positions. You can also use the Hookes law calculator in advanced mode inserting the initial and final length of the spring instead of the displacement. Assume Hookes law is obeyed.

Lets look at the integral for work for springs. F k x. Assume Hockeys law is objected.

Calculate the work required to stretch the following springs 04 m from their equilibrium positions. A spring that required a force of 60 N to be stretched 02 m from its equilibrium position. A spring that required a force of 50 Nto be stretched 04 m from its equilibrium position.

A spring that required a force of 250 N to be stretched 02 m from its equilibrium position a. Calculate the work required to stretch the following springs 05 mathrmm 0343 bullet A force of magnitude 8000 mathrmN stretches a certain spring. Wfrac 12kx2 Use this to find the spring constant k then the energy needed to stretch to the new position then subtract the two energies to find the needed work.

Assume Hookes law is obeyed. The formula for Hookes law specifically relates the change in extension of the spring x to the restoring force F generated in it. Find the work required to stretch the spring an additional 3 inches.


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