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23 Questions around this concept.
An object is thrown vertically upwards. At its maximum height, which of the following quantities becomes zero?
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
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A ball of mass 'm' moves with speed 'v' and it strikes normally with a wall and reflects back normally with the same speed, if its time of contact with the wall is 't' then find the force exerted by the ball on the wall:
If I, a and t are the moment of inertia, angular acceleration and torque respectively of a body rotating about any axis with angular velocity w, then
Linear momentum of a body is the quantity of motion contained in the body.
It is measured in terms of the force required to stop the body in unit time.
. 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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