Simple Harmonic Motion -11- Kinetic Energy

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A 1.2-kilogram block is connected to a 150 N/m spring on a smooth floor. One end of the spring is connected to a wall. The block is pulled 5 cm to the right and then released. What is the kinetic energy of the block when it is 3 cm from its equilibrium position?   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, keep up the spirit of pursuing your dreams, even if no one is cheering you on.

00:08Almost similar to the previous series.

00:11But this time, we are asked to calculate the kinetic energy of the block.

00:18Before we go any further, how about we watch this short animation.

00:24A spring block system is undergoing simple harmonic motion.

00:30This block will continue to move to the right and to the left periodically through the equilibrium point.

00:37The block will not move beyond the rightmost line and the leftmost line.

00:41That's because there is no additional external energy and energy dissipation.

00:48If so, the system energy at each point is constant.

00:54Mathematically, E total is equal to the spring energy plus the kinetic energy of the block.

01:02We already know that the total energy of the system is half k A squared.

01:09This A is the maximum displacement of the spring.

01:15And the potential energy of the spring is half k x squared.

01:21From here, the kinetic energy of the block is half k multiplied by A squared minus x squared.

01:30Perhaps you still remember that the spring constant is 150 N per meter.

01:37The maximum displacement of the spring is 0.05 meters.

01:43The displacement of the spring at any time is 0.03 meters.

01:49A little calculation, the kinetic energy is about 0.12 Joules.

01:56This is the kinetic energy of the block.

02:01Happy learning everyone!

02:02Happy learning everyone!

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