A block C of mass m is moving with velocity v | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

Using conservation of linear momentum, we have

$m v_{0}=m v+2 m v$

$\Rightarrow v=\frac{v_{0}}{3}$

Using conservation of energy, we have

$

Vedclass · Accepted Answer

$\frac {2}{3} \frac {mv_0^2}{x_0^2}$

Vedclass · Answer

Using conservation of linear momentum, we have

$m v_{0}=m v+2 m v$

$\Rightarrow v=\frac{v_{0}}{3}$

Using conservation of energy, we have

$\frac{1}{2} m v_{0}^{2}=\frac{1}{2} k x_{0}^{2}+\frac{1}{2}(3 m) v^{2}$

where $x_{0}$ is compression in the string.

$	herefore m v_{0}^{2}=k x_{0}^{2}+(3 m) \frac{v_{0}^{2}}{g}$

$\Rightarrow k x_{0}^{2}=m v_{0}^{2}-\frac{m v_{0}^{2}}{3}$

$\Rightarrow k x_{0}^{2}=\frac{2 m v_{0}^{2}}{3}$

$	herefore k=\frac{2 m v_{0}^{2}}{3 x_{0}^{2}}$

A block $C$ of mass $m$ is moving with velocity $v_0$ and collides elastically with block $A$ of mass $m$ which connected to another block $B$ of mass $2\,m$ through a spring of spring constant $k$. What is $k$ if $x_0$ is the compression of spring when velocity of $A$ and $B$ is same?

Similar Questions

A smooth semicircular tube $AB$ of radius $R$ is fixed in a verticle plane and contain a heavy flexible chain of length $\pi R$ . Find the velocity $v$ with which it will emerge from the open end $'B'$ of' tube, when slightly displaced

A ball is dropped from a height of $80\,m$ on a surface which is at rest. Find the height attainded by ball after $2^{nd}$ collision if coefficient of restitution $e = 0.5$ ............ $\mathrm{m}$

A ring of mass $m$ is attached to a horizontal spring of spring constant $k$ and natural length $l_0$ . Other end of spring is fixed and ring can slide on a smooth horizontal rod as shown. Now the ring is shifted to position $B$ and released, speed of ring when spring attains it's natural length is