00:01
Hi, here in this given problem, mass of the particle, that is given to be equal to 10 kilogram, moving with a constant acceleration of 2 meter per second square, starting from rest.
00:17
So initial velocity vi will be taken to be zero.
00:21
Now we have to find its momentum and velocity after the time.
00:26
In the first part of the problem, the time is given to be equal to one second.
00:35
So using newton's second law of motion, the force acting on that object, that is equal to the time rate of change of linear momentum, as the initial momentum is zero because initial velocity is zero.
00:52
So we can say change in momentum means final momentum per unit time.
00:57
And force, you know, force is given as the product of mass and acceleration.
01:03
So pf will be given by m -a -t.
01:07
M .a.
01:09
M, that is 10 kg, a2 time 1.
01:14
So it comes out to be equal to 20 kilogram meter per second.
01:19
And then using an expression for the final momentum that is equal to product of mass and the velocity, final velocity...