355337 A steel ball of mass \(5\;g\) is thrown downwards with velocity \(10\,m{s^{ - 1}}\) from height \(19.5\;m.\) It penetrates sand by \(50\;cm.\) The change in mechanical energy will be (take, \(g = 10\;m{s^{ - 2}}\) )

355338 A system consists of two identical cubes, each of mass \(m\), linked together by a compressed weightless spring of force constant \(k\). The cubes are also connected by a thread which burnt at a certain moment. The minimum value of initial compression \(x_{0}\) of the spring for which lower cube bounce after the thread is burnt is:

355339 A particle is released on a vertical smooth semicircular track from point \(\mathrm{X}\) so that \(\mathrm{OX}\) makes angle \(\theta\) from the vertical (see figure). The normal reaction of the track on the particle vanishes at point \(\mathrm{Y}\) where OY makes angle \(\phi\) with the horizontal. Then :

355340 A ball of mass \(m\) kept at top slide freely on frictionless hemispherical surface. At what minimum angle \(\theta\) net force acting on ball would be equal to \(mg\) ?

355341 Assertion :
According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy.
Reason :
Mechanical energy is never conserved.

355337 A steel ball of mass \(5\;g\) is thrown downwards with velocity \(10\,m{s^{ - 1}}\) from height \(19.5\;m.\) It penetrates sand by \(50\;cm.\) The change in mechanical energy will be (take, \(g = 10\;m{s^{ - 2}}\) )

355338 A system consists of two identical cubes, each of mass \(m\), linked together by a compressed weightless spring of force constant \(k\). The cubes are also connected by a thread which burnt at a certain moment. The minimum value of initial compression \(x_{0}\) of the spring for which lower cube bounce after the thread is burnt is:

355339 A particle is released on a vertical smooth semicircular track from point \(\mathrm{X}\) so that \(\mathrm{OX}\) makes angle \(\theta\) from the vertical (see figure). The normal reaction of the track on the particle vanishes at point \(\mathrm{Y}\) where OY makes angle \(\phi\) with the horizontal. Then :

355340 A ball of mass \(m\) kept at top slide freely on frictionless hemispherical surface. At what minimum angle \(\theta\) net force acting on ball would be equal to \(mg\) ?

355341 Assertion :
According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy.
Reason :
Mechanical energy is never conserved.

355337 A steel ball of mass \(5\;g\) is thrown downwards with velocity \(10\,m{s^{ - 1}}\) from height \(19.5\;m.\) It penetrates sand by \(50\;cm.\) The change in mechanical energy will be (take, \(g = 10\;m{s^{ - 2}}\) )

355338 A system consists of two identical cubes, each of mass \(m\), linked together by a compressed weightless spring of force constant \(k\). The cubes are also connected by a thread which burnt at a certain moment. The minimum value of initial compression \(x_{0}\) of the spring for which lower cube bounce after the thread is burnt is:

355339 A particle is released on a vertical smooth semicircular track from point \(\mathrm{X}\) so that \(\mathrm{OX}\) makes angle \(\theta\) from the vertical (see figure). The normal reaction of the track on the particle vanishes at point \(\mathrm{Y}\) where OY makes angle \(\phi\) with the horizontal. Then :

355340 A ball of mass \(m\) kept at top slide freely on frictionless hemispherical surface. At what minimum angle \(\theta\) net force acting on ball would be equal to \(mg\) ?

355341 Assertion :
According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy.
Reason :
Mechanical energy is never conserved.

355337 A steel ball of mass \(5\;g\) is thrown downwards with velocity \(10\,m{s^{ - 1}}\) from height \(19.5\;m.\) It penetrates sand by \(50\;cm.\) The change in mechanical energy will be (take, \(g = 10\;m{s^{ - 2}}\) )

355338 A system consists of two identical cubes, each of mass \(m\), linked together by a compressed weightless spring of force constant \(k\). The cubes are also connected by a thread which burnt at a certain moment. The minimum value of initial compression \(x_{0}\) of the spring for which lower cube bounce after the thread is burnt is:

355339 A particle is released on a vertical smooth semicircular track from point \(\mathrm{X}\) so that \(\mathrm{OX}\) makes angle \(\theta\) from the vertical (see figure). The normal reaction of the track on the particle vanishes at point \(\mathrm{Y}\) where OY makes angle \(\phi\) with the horizontal. Then :

355340 A ball of mass \(m\) kept at top slide freely on frictionless hemispherical surface. At what minimum angle \(\theta\) net force acting on ball would be equal to \(mg\) ?

355341 Assertion :
According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy.
Reason :
Mechanical energy is never conserved.

355337 A steel ball of mass \(5\;g\) is thrown downwards with velocity \(10\,m{s^{ - 1}}\) from height \(19.5\;m.\) It penetrates sand by \(50\;cm.\) The change in mechanical energy will be (take, \(g = 10\;m{s^{ - 2}}\) )

355338 A system consists of two identical cubes, each of mass \(m\), linked together by a compressed weightless spring of force constant \(k\). The cubes are also connected by a thread which burnt at a certain moment. The minimum value of initial compression \(x_{0}\) of the spring for which lower cube bounce after the thread is burnt is:

355339 A particle is released on a vertical smooth semicircular track from point \(\mathrm{X}\) so that \(\mathrm{OX}\) makes angle \(\theta\) from the vertical (see figure). The normal reaction of the track on the particle vanishes at point \(\mathrm{Y}\) where OY makes angle \(\phi\) with the horizontal. Then :

355340 A ball of mass \(m\) kept at top slide freely on frictionless hemispherical surface. At what minimum angle \(\theta\) net force acting on ball would be equal to \(mg\) ?

355341 Assertion :
According to the law of conservation of mechanical energy, change in potential energy is equal and opposite to the change in kinetic energy.
Reason :
Mechanical energy is never conserved.