00:01
Hello and welcome to this video solution of numerate.
00:03
Here it's given that a 200 kg roller coaster is initially moving at 4 meters per second right.
00:09
So the mass of the roller coaster is 200 kgs and it is moving at a speed of let's say u which is 4 meters per second.
00:18
The ride reaches a maximum height of 35 meters and a top speed of 25 meters per second right.
00:24
So the height maximum is 35 meters and the top speed v let's say which is 25 meters per second right.
00:35
Finally 40 seconds after the starting the roller coaster comes to rest on a section of the track that is 2 meter below the starting height right.
00:44
So h dash i am taking as 2 meters right.
00:48
Now you have to calculate the work done by gravity on the roller coaster right.
00:57
So this is pretty simple.
00:58
So work done due to gravity is equal to mg the total height h right and this is equal to mass is 200 g is 9 .8 and the height is combined of both these heights right because if you see here it reaches a maximum height from some level right and 2 meters is below that level right.
01:18
So it's 37 meters from this lowest point you can say...