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In this lesson, we will learn how to calculate the momentum of a particle of mass m moving in a straight line with velocity v by using vectors.

Q1:

A body with variable mass moves in a straight line. At time ๐ก seconds, its mass is given by ๐ = 7 ( ๐ก + 4 ) k g , and its displacement from a fixed point on the line is given by ๐ = 1 4 ๏น ๐ก โ 2 ๐ก + 1 0 ๏ 2 m . Calculate the change in the bodyโs momentum between ๐ก = 1 0 s and ๐ก = 1 3 s .

Q2:

A body of variable mass is moving along a fixed straight line. Its mass at time is given by the relation and its displacement is given by the relation , where is a unit vector parallel to the direction of its motion. Determine the bodyโs momentum and the force that is acting on it .

Q3:

Determine the mass of a body whose momentum is 37 kgโ m/s, given that its displacement vector is given by the relation s i j ( ๐ก ) = ( โ 3 ๐ก ) + ( 4 ๐ก ) , where | | s is measured in meters and ๐ก in seconds.

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