00:01
In this problem we have been given that there is an object of mass 3 .1 kilograms and this object is connected to the end of the spring with spring constant of 250 newtons per meter.
00:13
And this object is able to oscillate in this horizontal plane which is offering no friction.
00:21
And it is observed that when the object is present at a position of 0 .024 meters, its speed is 0 .6 meters.
00:31
Meter per second.
00:33
So we need to determine here the amplitude of the motion and along with us we need to even figure out the maximum speed that the object can attain.
00:43
So here as we can observe that at this point be where the speed is 0 .6 meter per second the total energy that's contained in this object will be the spring potential energy plus the kinetic energy that will be half mv square.
01:00
So let's represent the total energy using e.
01:03
So putting the values here, we get half times of 250 times the extension, that's 0 .04 whole square of that, plus half times its mass, that's 3 .1 times the square of the speed, which is 0 .6 square.
01:22
So the total energy comes out to be 0 .63 joules...