00:01
Hello student, to solve this question, let us write the conservation of mechanical energy, that is, the initial mechanical energy will be equal to the final mechanical energy.
00:10
So using this law, let us calculate the part a of the question, that is, speed of the car.
00:16
So, initial mechanical energy will be equal to half kx square plus zero equals.
00:25
On the right hand side, the final mechanical energy can be written as half mv squared.
00:30
Plus 0.
00:31
Now from here we can calculate the velocity or speed which will be equal to x multiply by k by m under root.
00:41
So putting the values given in the statement we get now x here is the delta x that is 0 .04 meter so putting 0 .04 multiply by k is given as 250 divided by mass is 0 .1 under root so from here we can find the final answer that is the speed of the car v will be equal to 2 meter per second.
01:04
Now for part b, we need to calculate the work done.
01:08
So using the same conservation law, we'll get on the left -hand side half mv -square equals on the right -hand side half mv -square plus m -g -h.
01:19
Now this equation will further become, that is, v velocity will be equal to v -square minus 2g.
01:31
Square root.
01:32
So putting the values we get v is calculated as 2 meter per second square minus 2 2 into 9 .8 g then h is given which is 0 .18 meters taking the square root.
01:47
Now from here the velocity v will be calculated as 0 .687 meter per second...