268777 A block of mass\(m=25 \mathrm{~kg}\) on a smooth horizontal surface with a velocity \(\vec{v}=3 \mathrm{~ms}^{-1}\) meets the spring of spring constant \(k=100 \mathrm{~N} / \mathrm{m}\) fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are

268778 A body is thrown vertically up with certain initial velocity, the potential and kinetic energies of the body are equal at a point\(P\) in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is

268884 The bob of a pendulum is released from a horizontal position. If the length of the pendulum is \(1.5 \mathrm{~m}\), the speed with which the bob arrives at the lowest point, given that it dissipated \(5 \%\) of its initial energy against air resistance is \((\mathbf{m} / \mathbf{s})\)

268885 System shown in fig is released from rest with mass \(2 \mathrm{~kg}\) in contact with the ground. Pulley and spring are massless and the friction is absent everywhere. The speed of \(5 \mathrm{~kg}\) block when \(2 \mathrm{~kg}\) block leaves the contact with the ground is ( force constant of the spring \(k=40 \mathbf{N} / \mathrm{m}\) and \(\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

268777 A block of mass\(m=25 \mathrm{~kg}\) on a smooth horizontal surface with a velocity \(\vec{v}=3 \mathrm{~ms}^{-1}\) meets the spring of spring constant \(k=100 \mathrm{~N} / \mathrm{m}\) fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are

268778 A body is thrown vertically up with certain initial velocity, the potential and kinetic energies of the body are equal at a point\(P\) in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is

268884 The bob of a pendulum is released from a horizontal position. If the length of the pendulum is \(1.5 \mathrm{~m}\), the speed with which the bob arrives at the lowest point, given that it dissipated \(5 \%\) of its initial energy against air resistance is \((\mathbf{m} / \mathbf{s})\)

268885 System shown in fig is released from rest with mass \(2 \mathrm{~kg}\) in contact with the ground. Pulley and spring are massless and the friction is absent everywhere. The speed of \(5 \mathrm{~kg}\) block when \(2 \mathrm{~kg}\) block leaves the contact with the ground is ( force constant of the spring \(k=40 \mathbf{N} / \mathrm{m}\) and \(\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

268777 A block of mass\(m=25 \mathrm{~kg}\) on a smooth horizontal surface with a velocity \(\vec{v}=3 \mathrm{~ms}^{-1}\) meets the spring of spring constant \(k=100 \mathrm{~N} / \mathrm{m}\) fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are

268778 A body is thrown vertically up with certain initial velocity, the potential and kinetic energies of the body are equal at a point\(P\) in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is

268884 The bob of a pendulum is released from a horizontal position. If the length of the pendulum is \(1.5 \mathrm{~m}\), the speed with which the bob arrives at the lowest point, given that it dissipated \(5 \%\) of its initial energy against air resistance is \((\mathbf{m} / \mathbf{s})\)

268885 System shown in fig is released from rest with mass \(2 \mathrm{~kg}\) in contact with the ground. Pulley and spring are massless and the friction is absent everywhere. The speed of \(5 \mathrm{~kg}\) block when \(2 \mathrm{~kg}\) block leaves the contact with the ground is ( force constant of the spring \(k=40 \mathbf{N} / \mathrm{m}\) and \(\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

268777 A block of mass\(m=25 \mathrm{~kg}\) on a smooth horizontal surface with a velocity \(\vec{v}=3 \mathrm{~ms}^{-1}\) meets the spring of spring constant \(k=100 \mathrm{~N} / \mathrm{m}\) fixed at one end as shown in figure. The maximum compression of the spring and velocity of block as it returns to the original position respectively are

268778 A body is thrown vertically up with certain initial velocity, the potential and kinetic energies of the body are equal at a point\(P\) in its path. If the same body is thrown with double the velocity upwards, the ratio of potential and kinetic energies of the body when it crosses the same point, is

268884 The bob of a pendulum is released from a horizontal position. If the length of the pendulum is \(1.5 \mathrm{~m}\), the speed with which the bob arrives at the lowest point, given that it dissipated \(5 \%\) of its initial energy against air resistance is \((\mathbf{m} / \mathbf{s})\)

268885 System shown in fig is released from rest with mass \(2 \mathrm{~kg}\) in contact with the ground. Pulley and spring are massless and the friction is absent everywhere. The speed of \(5 \mathrm{~kg}\) block when \(2 \mathrm{~kg}\) block leaves the contact with the ground is ( force constant of the spring \(k=40 \mathbf{N} / \mathrm{m}\) and \(\left.g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)