$A$ & $B$ are blocks of same mass $m$ exactly equivalent to each other. Both are placed on frictionless surface connected by one spring. Natural length of spring is $L$ and force constant $K$. Initially spring is in natural length. Another equivalent block $C$ of mass $m$ travelling at speed $v$ along line joining $A$ & $B$ collide with $A$. In ideal condition maximum compression of spring is :-
$v \sqrt[]{\frac{m}{2K}}$
$ m \sqrt[]{\frac{v}{2K}}$
$\sqrt{\frac{mv}{K}}$
$\frac{mv}{2K}$
Consider two carts, of masses $m$ and $2m$ , at rest on an air track. If you push both the carts for $3\,s$ exerting equal force on each, the kinetic energy of the light cart is
When a ball is freely fallen from a given height it bounces to $80\%$ of its original height. What fraction of its mechanical energy is lost in each bounce ?
The bob of a pendulum of length $l$ is pulled aside from its equilibrium position through an angle $\theta $ and then released. The bob will then pass through its equilibrium position with speed $v$ , where $v$ equals
A particle of mass $M$ is moving in a horizontal circle ofradius $R$ with uniform speed $v$. When it moves from one point to a diametrically opposite point, its
A force $\vec F = (5\hat i + 3\hat j)\;N$is applied over a particle which displaces it from its original position to the point $\vec s = (2\hat i - 1\hat j)$m. The work done on the particle is.........$J$