Calculate the Work Required to Stretch the Following Springs

A spring that requires 100 J of work to be. Assume Hookes law is obeyed.

Ex Find The Work Required To Stretch A Spring Integration App Youtube

W 12 k x2.

. Calculate the work required to stretch the following springs 05 m from their equilibrium positions. Therefore the work done in stretching a spring a distance x from its rest position is. A spring that requires 50 J of work to be stretched 02 m from its equilibrium position.

A spring that required a force of 300 N to be stretched 02 m from its equilibrium position a. Calculate the work required to stretch the following springs 0606 m from their equilibrium positions. Calculate the work required to stretch the following springs 05 m from their equilibrium positions.

The formula for the Work to Stretch or Compress a Spring is. A spring that required a force of 200 N to be stretched 02 m from its equilibrium position. A spring that required 50 J of work to be stretched 01 m from its equilibrium position.

The final length in question is 02m and the starting length in question is 01m. A spring that requires 2 J of work to be stretched 01 m from its equilibrium position. Assume Hookes law is obeyed.

Find step-by-step Calculus solutions and your answer to the following textbook question. Hookes Law defines the force used to displace a spring as. And then we know that energy is defined to be the.

The Math Science. Assume Hookes law is obeyed a. Calculate the work required to stretch the following springs 15 m from their equilibrium positions.

Find the work required to stretch the spring an additional 3 inches. Calculating work for different springs Calculate the work required to stretch the following springs 125 m from their equilibrium positions. A spring that required 50 J of work to be stretched 02 m from its equilibrium position.

A spring that required a force of 50 N to be stretched 01 m from its equilibrium position. 90J work done force extension here the extension would be actually be the change in length of the springs extension. How much additional work is required to stretch the spring 02 mathrmm if it has already been stretched 02 mathrmm from its equilibrium position.

Make a list of the given quantities in the problem including the spring constant eqk eq and the distance the. Integrating Fxkx we get the formula for the elastic energy stored in a spring the work to stretch the spring from equilibrium. How much work is required to compress the spring 04 m from its equilibrium position.

My attempts at this problem have led to a dead end. A spring that required 100 J of work to be stretched 04 m from its equilibrium position b. Assume Hookes law is obeyed.

Assume Hookes law is obeyed. The increase in length is 01m so the added extension of the spring is 01m. A spring that required 50 J of work to be stretched 04 m from its equilibrium position.

18 k 4. Assume Hookes law is obeyed. 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.

A spring that required a force of 50 Nto be stretched 04 m from its equilibrium position. Initially the work done or energy stored on a spring is 12k x12 and the final is 12k x22 which results in W 12k x22- x12. A spring that required a force of 40 N to be stretched 02 m from its equilibrium position b.

Set up the integral that gives the. Heres what we know. How much work is required to stretch the spring 03 mathrmm from its equilibrium position.

Here is one of the four that I have tried. A spring that required 60 J of work to be stretched 01 m from its equilibrium position. Eighteen foot-pounds of work is required to stretch a spring 4 inches from its natural length.

W b a kx dx k b a x dx. Calculate the work required to stretch the following springs 125 m from their equilibrium positions. We know that the area shaded in red represents the work you would need to do to stretch the spring a distance x from its rest position.

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 4040 N to be stretched 0101 m from its equilibrium position. Assume Hookes law is obeyed.

A spring that required 4040 J of work to be stretched 0101 m from its equilibrium position. The blue line represents the graph of F kx Hookes Law. The minus sign conveys that this is a restorative force acting in opposition to the spring being stretched or compressed.

Lets look at the integral for work for springs. Assume Hookes law is obeyed. The answer is 27 4 ft-lbs.

A spring that requires a force of 250 N to be stretched 05 from its equilibrium position. Calculate the work required to stretch the following springs 125 m from their equilibrium positions. Assume Hookes law is obeyed.

Calculus questions and answers. Now when the spring releases the initial position is x2 while the final position is x1 thus the order of. A spring that requires 100 J of work to be stretched 05 m from its equilibrium position.

When reading off the y-axis of the graph which goes up by a scale of 100 each time the. Show transcribed image text 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.

Math Calculus QA Library Calculate the work required to stretch the following springs 06 m from their equilibrium positions. Assume Hookes law is obeyed. Steps for Calculating the Work Done by a Spring System on an Object.

Since this area is a triangle the shaded area 12 base height 12 x kx 12kx 2. A spring that required 100 J of work to be stretched 02 m from its equilibrium position.

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