00:01
In this problem, a block is pressed against a spring by a distance x.
00:10
Okay.
00:11
Now, after the block is released, it move over the horizontal surface to the edge.
00:18
And let's say when it reaches to the edge after the living spring, it has the speed v.
00:25
And then it falls from the edge and land on the ground, which is below 2 meter from the surface.
00:32
Now first we need to find out the speed.
00:36
So first we can conserve the mechanical energy of the system.
00:42
So the initial mechanical energy of the system will be equivalent to the funnel mechanical energy on the surface and the initial mechanical energy is in the form of elastic potential energy of the spring that is half of the spring constant k times the square of the compression in the spring and the funnel energy when the block leaves the spring will be in the form of kinetic energy, that will be half of m times v square.
01:13
So from this, the speed of the block, when it leaves the spring, v will be equivalent to x square times k over m under square root, or that will be equivalent to x times square root of k over m...