00:01
Hello everyone, so let's start with the question.
00:02
So as you can see in a diagram, there is two objects that is a and b.
00:06
The mass of the a is m and the mass of the object b is 2m.
00:13
So when the object a is launched as a projectile with initial speed at an angle of theta, above the horizontal, now object b has exactly the same initial speed at exactly the same angle as compared to the object a.
00:28
But the object is b having some additional help that is it sliding up to a frictionless incline as you can see in the figure so object so we have to find at what maximum height which object has the larger kinetic energy and which object has the larger maximum height okay so as you can see these are a ground surface and if the object a is thrown with an angle of theta with the angle of theta so it will be go in this means there will be a two coordinates acting on it that is y and x that is horizontal and vertical and after some time it will be at the ground level so this is our range distance and at this point as you can see this from the ground to the maximum point so these are our maximum point okay and here at this maximum point we name it as a maximum height so at the x maximum height our velocity is what zero okay so we have to find at the maximum height uh what is our kinetic energy okay at the maximum height what is our kinetic energy so for the object a our kinetic energy is what half into mass into acceleration so velocity is the whole square here the velocity is zero so our kinetic energy for the a is zero june okay as you can see at at some point at some point our velocity become zero at the maximum height means if he if the object is reached at the maximum point so the velocity becomes zero meter per second and after that it will come down in this direction okay same for the case p suppose this is our sliding this is a slider and at this base is move in a frictionless slide and when it's through with the same angle it will be travel at some point and at maximum height it will be reached so these are maximum height okay at max so at x max here our velocity becomes zero for the b and after some time it will be land on a ground surface okay so from here this distance is what our range distance so for the case b our kinetic energy for the b object is what half m b b square here our velocity is what so our answer will be for the object b is 0 june.
03:10
So in both the cases, so in both the cases object a and object b has zero kinetic energy because at maximum height, at maximum height, there velocity becomes zero.
03:47
So this is the answer of our first question.
03:49
Now in the second question, as you can see, we have to find the maximum height means we have to find which object has the larger maximum height.
03:59
So as you can see in the diagram, there is no any role of a vertical...