By how much is the spring compressed

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In this case the force on the mass has two parts. The equation is a lot easier to solve than it looks, because it's the equation for a simple harmonic oscillator in disguise. However if you haven't done simple harmonic motion yet this is probably not a route you want to pursue.

E will result in gain of K. Sign up to join this community. The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Compression of spring when an object of given mass is placed on it Ask Question.

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Example Question 1 : Using Spring Equations. Possible Answers:. Correct answer:. Explanation : The equation for spring potential energy is. Plug in the given values for the distance and spring constant to solve for the potential energy. Report an Error. Example Question 2 : Using Spring Equations. Explanation : For this problem, use Hooke's law: In this formula, is the spring constant, is the compression of the spring, and is the necessary force.

Plug in our given values and solve. Example Question 3 : Using Spring Equations. Example Question 4 : Using Spring Equations. Explanation : The best way to solve this problem is by using energy. Use the law of conservation of energy to set these two energies equal to each other: We are trying to solve for displacement, and now we have an equation in terms of our variable.

Explanation : For this problem use Hooke's Law: Plug in our given values:. Example Question 6 : Using Spring Equations. Example Question 7 : Using Spring Equations. Explanation : The formula for spring potential energy is: Plug in our given values and solve: , so:. Example Question 8 : Using Spring Equations. Explanation : The formula for spring potential energy is Plug in our given values and solve: , so:. Example Question 9 : Using Spring Equations. Explanation : If we're looking for the maximum velocity, that will happen when all the energy in the system is kinetic energy.

The formula for spring potential energy is: Plug in our given values and solve: , so: The formula for kinetic energy is: Since , that means that.

We can plug in that information to the formula for kinetic energy to solve for the maximum velocity: Since , that means that. Example Question 10 : Using Spring Equations. The formula for spring potential energy is: Plug in our given values and solve: , so: The formula for kinetic energy is:. We can plug this information into the formula for kinetic energy and use it to solve for the maximum velocity: Since , that means that.

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