Question

A Body Of Mass 10kg is moving with velocity 10m/s a force of 20N is applied for 30seconds , what is the change in the momentum of the body : 1 = 300kg/s , 2 = 600kg/s , 3 = 400kg/s , 4 = 450kg/s​

Answer 1

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Answer 2

Given: A body of mass 10kg is moving with velocity 10 m/s. A force of 20N is applied for 30 seconds.

To find: The change in the momentum of the body.

Solution:

• Linear momentum of a body is the product of the mass and the velocity of the body.
• It is a vector quantity and its direction is the same as the direction of velocity.
• When the body is moving with the velocity 10ms⁻¹,

        $p = m * v$  

           $= 10 kg * 10ms^{-1}$

           $= 100 kgms^{-1}$

• When the force of 20 N is applied for 30 seconds, the momentum would be,

        $p = \frac{F}{t}$

           $= \frac{20 N}{30 s}$

           $= 0.67 kgms^{-1}$

• The change in momentum of the body is calculated as,

        $100 - 0.67 = 99.33 kgms^{-1}$

Therefore, the change in the momentum of the body is 99.33 kgms⁻¹.