Simple Harmonic Motion -10- Potential Energy

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A block with a mass of 0.8 kilograms is connected to a 100 N/m spring on a smooth floor. One end of the spring is connected to a wall. The block is pulled to the right 5 centimeters and then released. What is the total energy of the system?  watch the related video SIMPLE HARMONIC MOTION: https://dailymotion.com/playlist/x7zqtm  #oscillation #simpleharmonicmotion  By following this channel it is very useful for the development of this channel. The Dailymotion application is easy to install on any smartphone, and does not take up much memory space.

Transcript

00:00Hi friends, education breeds trust. Trust breeds hope. Hope breeds peace.

00:11One end of a spring is connected to a block, while the other end is fixed to a wall.

00:17Both objects lie on a smooth floor.

00:22The spring is then pulled to the right and released.

00:24Now, we are asked to calculate the potential energy of the spring when the block reaches a certain point.

00:36Let's discuss it. Here is a spring block system.

00:42Initially, the system is in equilibrium. This means the spring has not experienced any change in length at all.

00:49We can draw a dotted line through the center of mass of the block to mark the equilibrium point.

00:59An external force pulls the block to the right, then releases it.

01:05Of course, the block will move left and right periodically.

01:11This is simple harmonic motion.

01:13The block will always move like this as long as there is no energy dissipation.

01:23How do we calculate the magnitude of the spring force?

01:27The potential energy of the spring is calculated from the spring.

01:31So we will not pay attention to the block at all.

01:36Let's say at some point the block reaches this point.

01:39This point is at a distance x measured from the equilibrium point.

01:46Then the potential energy of the spring is half k x squared.

01:51Because the potential energy of the spring is based on the length of the spring's displacement from its equilibrium condition.

02:00From the problem sheet, the value of the spring constant is 200 newtons per meter,

02:05and the spring's displacement is 0.03 meters.

02:09It seems this calculation is quite easy.

02:12The potential energy is about 0.09 joules.

02:17This is the magnitude of the spring's potential energy.

02:23Happy learning everyone!

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