149126 A small bead of mass $m$ slides on a smooth wire that is bent in a circle of radius $R$. It is released at the top of the circular part of the wire (point $A$ in the figure) with a negligibly small velocity. Find the height $H$ where the bead will reverse direction.

149127 A stick of length $L$ and mass $M$ lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass $m$ moving with speed $\mathbf{v}$ collides elastically with the stick as shown in figure.

If after the collision the ball comes to rest, then what should be the mass of the ball?

149128 Power supplied to a particle of mass $2 \mathrm{~kg}$ varies with time as $P=\frac{t^{2}}{2}$ watt, where $t$ is in second, If the velocity of particle at $t=0$ is $v=0$, the velocity of particle at time $t=2 \mathrm{~s}$ will be

149129 A massless platform is kept on a light elastic spring as shown in figure. When a sand particle of mass $0.1 \mathrm{~kg}$ is dropped on the pan from a height of $0.24 \mathrm{~m}$, the particle strikes the pan and spring is compressed by $0.01 \mathrm{~m}$.
From what height should the particle be dropped to cause a compression of $0.04 \mathrm{~m}$.

149126 A small bead of mass $m$ slides on a smooth wire that is bent in a circle of radius $R$. It is released at the top of the circular part of the wire (point $A$ in the figure) with a negligibly small velocity. Find the height $H$ where the bead will reverse direction.

149127 A stick of length $L$ and mass $M$ lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass $m$ moving with speed $\mathbf{v}$ collides elastically with the stick as shown in figure.

If after the collision the ball comes to rest, then what should be the mass of the ball?

149128 Power supplied to a particle of mass $2 \mathrm{~kg}$ varies with time as $P=\frac{t^{2}}{2}$ watt, where $t$ is in second, If the velocity of particle at $t=0$ is $v=0$, the velocity of particle at time $t=2 \mathrm{~s}$ will be

149129 A massless platform is kept on a light elastic spring as shown in figure. When a sand particle of mass $0.1 \mathrm{~kg}$ is dropped on the pan from a height of $0.24 \mathrm{~m}$, the particle strikes the pan and spring is compressed by $0.01 \mathrm{~m}$.
From what height should the particle be dropped to cause a compression of $0.04 \mathrm{~m}$.

149126 A small bead of mass $m$ slides on a smooth wire that is bent in a circle of radius $R$. It is released at the top of the circular part of the wire (point $A$ in the figure) with a negligibly small velocity. Find the height $H$ where the bead will reverse direction.

149127 A stick of length $L$ and mass $M$ lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass $m$ moving with speed $\mathbf{v}$ collides elastically with the stick as shown in figure.

If after the collision the ball comes to rest, then what should be the mass of the ball?

149128 Power supplied to a particle of mass $2 \mathrm{~kg}$ varies with time as $P=\frac{t^{2}}{2}$ watt, where $t$ is in second, If the velocity of particle at $t=0$ is $v=0$, the velocity of particle at time $t=2 \mathrm{~s}$ will be

149129 A massless platform is kept on a light elastic spring as shown in figure. When a sand particle of mass $0.1 \mathrm{~kg}$ is dropped on the pan from a height of $0.24 \mathrm{~m}$, the particle strikes the pan and spring is compressed by $0.01 \mathrm{~m}$.
From what height should the particle be dropped to cause a compression of $0.04 \mathrm{~m}$.

149126 A small bead of mass $m$ slides on a smooth wire that is bent in a circle of radius $R$. It is released at the top of the circular part of the wire (point $A$ in the figure) with a negligibly small velocity. Find the height $H$ where the bead will reverse direction.

149127 A stick of length $L$ and mass $M$ lies on a frictionless horizontal surface on which it is free to move in any way. A ball of mass $m$ moving with speed $\mathbf{v}$ collides elastically with the stick as shown in figure.

If after the collision the ball comes to rest, then what should be the mass of the ball?

149128 Power supplied to a particle of mass $2 \mathrm{~kg}$ varies with time as $P=\frac{t^{2}}{2}$ watt, where $t$ is in second, If the velocity of particle at $t=0$ is $v=0$, the velocity of particle at time $t=2 \mathrm{~s}$ will be

149129 A massless platform is kept on a light elastic spring as shown in figure. When a sand particle of mass $0.1 \mathrm{~kg}$ is dropped on the pan from a height of $0.24 \mathrm{~m}$, the particle strikes the pan and spring is compressed by $0.01 \mathrm{~m}$.
From what height should the particle be dropped to cause a compression of $0.04 \mathrm{~m}$.