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Linear Momentum - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

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  • 20 Questions around this concept.

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A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg . Then, the trolly car starts moving with velocity $2 \mathrm{~ms}^{-1}$. The velocity of the running man was _______ $\qquad$ $\mathrm{ms}^{-1}$, when he jumps into the car.

A nucleus disintegrates into two nuclear parts which have velocities in the ratio of 9:3. The ratio of their nuclear size will be 

Concepts Covered - 1

Linear Momentum
  1. Linear momentum of a body is the quantity of motion contained in the body.

  2. It is measured in terms of the force required to stop the body in unit time.

  3. . If a body of mass $m$ is moving with velocity $\vec{v}$, then its linear momentum $\vec{p}$ is given by $\vec{p}=m \vec{v}$.
    4. It is a vector quantity and its direction is the same as the direction of the velocity of the body.
    5. S.I. Unit : kg-m/sec
    6. Dimension- $\mathrm{MLT}^{-1}$
    7. If two objects of different masses have the same momentum, the lighter body possesses greater velocity.

    As $\mathrm{p}=\mathrm{m}_1 \mathrm{v}_1=\mathrm{m}_2 \mathrm{v}_2=$ constant

    $$
    \therefore \frac{V_1}{V_2}=\frac{m_2}{m_1} \Rightarrow V \alpha \frac{1}{m}
    $$
     

                 

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Linear Momentum

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