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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 of mass 7 kg is moving in a straight line. Its position vector at a time π‘ is given by the relation β π ( π‘ ) = οΉ π‘ + 5 ο β π + οΉ π‘ + π‘ ο β π 2 3 , where β β β π β β is measured in metres and π‘ in seconds. Determine the bodyβs momentum after 2 seconds.

Q2:

A body of variable mass is moving along a fixed straight line. Its mass at time π‘ is given by the relation π ( π‘ ) = 5 π‘ + 7 and its displacement is given by the relation β π ( π‘ ) = ( 5 π‘ + 4 π‘ ) β π 2 , where β π is a unit vector parallel to the direction of its motion. Determine the bodyβs momentum β π» ( π‘ ) and the force that is acting on it β πΉ ( π‘ ) .

Q3:

Determine the mass of a body whose momentum is 37 kgβ m/s, given that its displacement vector is given by the relation s i j ( π‘ ) = ( β 3 π‘ ) + ( 4 π‘ ) , where | | s is measured in metres and π‘ in seconds.

Q4:

A body of mass 3 kg is moving in a straight line. Its position vector at a time π‘ is given by the relation β π ( π‘ ) = οΉ π‘ + 5 ο β π + οΉ π‘ + π‘ ο β π 2 3 , where β β β π β β is measured in metres and π‘ in seconds. Determine the bodyβs momentum after 3 seconds.

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