Internal forces acting within a system of particles can alter
The linear momentum as well as the kinetic energy of the system
The linear momentum of the system, but not the kinetic energy of the system
The kinetic energy of the system, but not the linear momentum of the system
Neither linear momentum nor kinetic energy of the system
Which of the following statements is correct ?
A bomb of mass $16\ kg$ at rest explodes into two pieces of masses $4\ kg$ and $12\ kg.$ The velolcity of the $12\ kg$ mass is $4$ $ms^{-1}$. The kinetic energy of the other mass is .............. $\mathrm{J}$
A spring is compressed between two toy carts of masses $m_1$ and $m_2$. When the toy carts are released the spring exerts equal and opposite forces for the same time $t$ on each toy cart. If the coefficients of friction $\mu $ between the ground and the toy carts are equal, then the displacement of the toy carts are in the ratio
A body of mass $2\, kg$ is thrown up vertically with K.E. of $490$ joules. If the acceleration due to gravity is $9.8$$m/{s^2}$, then the height at which the K.E. of the body becomes half its original value is given by ............ $\mathrm{m}$
A vehicle of mass $m$ is moving on a rough horizontal road with momentum $P$. If the coefficient of friction between the tyres and the road be $\mu$, then the stopping distance is