The force shown in the force vs time diagram in the figure...

'The force shown in the force Vs. time diagram in the figure below acts on a 1.2-kg object K (N) (s) 1 2 3 4 5 Find the impulse of the force: (b) Find the final velocity of the object if it is initially at rest: mls (c) Find the final velocity of the object if it is initially moving along the X-axis with velocity of _1.7 m/s: mls'

Transcript

0:00 Hello to pridna.

00:01 In this portion we are given this force time graph for an object and we have to calculate the impulse of the force.

00:08 On this object if we are given the mass of the object as 1 .2 kilograms.

00:13 First of all, as we know that impulse is the area under the curve of force time graph.

00:20 So we are given the force graph in this portion and we have to calculate.

00:24 First we have to calculate the impulse.

00:25 So impulse that can be denoted by j we are denoting our impulse with the letter j and that would be equal to the area of the shaded region and we can divide our portion on this shaded region to be two portion one is a rectangle and other one is a triangle so we have to calculate the total area under this curve so first of all j which is denoting impulse and that would be equal to the area of the rectangle which is equal to the length multiplied by the breadth of the rectangle.

01:00 The length of this rectangle is 3 and the breadth can be taken as 2.

01:05 This is the area of the rectangle.

01:09 This comes from the rectangle.

01:14 And we have to add this area of this triangle, this region of the triangle.

01:19 And the area of triangle is equal to the half multiplied by the base, multiplied by the height of the triangle.

01:25 So here base is equal to 2.

01:28 And height is also equal to 2.

01:29 So upon calculating this are impulse for this object is equal to 6.

01:36 This is 3 times 2 which is equal to 6 plus this the area of the triangle reason that is equal to 2.

01:43 So a net impulse is equal to 8 newton 2.

01:48 So this is the impulse.

01:52 Now we have calculated the impulse in the first part of the question.

01:56 Now in the second part of the question we have to calculate that what is the impulse.

01:59 What would be the final velocity of the object if the initial velocity of the object is taken as 0.

02:06 If the object has an initial velocity as u, and that is equal to given as 0 meters per second, and we have to calculate the final velocity of this object if we have calculated the impulse in the first part, which was equal to 8 newton second and we have to calculate this final velocity.

02:28 We are known with the mass of the object.

02:31 Now let us start this question...

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