The bob $A$ of a simple pendulum is released when the string makes an angle of ${45^o}$with the vertical. It hits another bob $B$ of the same material and same mass kept at rest on the table. If the collision is elastic
The bob $A$ of a simple pendulum is released when the string makes an angle of ${45^o}$with the vertical. It hits another bob $B$ of the same material and same mass kept at rest on the table. If the collision is elastic
- A
Both $A$ and $B$ rise to the same height
- B
Both $A$ and $B$ come to rest at $B$
- C
Both $A$ and $B$ move with the same velocity of $A$
- D
A comes to rest and $B$ moves with the velocity of $A$
Similar Questions
A small particle of mass $m$ moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is $L = L _0$ the particle speed is $v = v _0$. The piston is moved inward at a very low speed $V$ such that $V \ll \frac{ dL }{ L } v _0$, where $dL$ is the infinitly small displacement of the piston. Which of the following statement($s$) is/are correct?
$(1)$ The rate at which the particle strikes the piston is $v / L$
$(2)$ After each collision with the piston, the particle speed increases by $2 V$
$(3)$ The particle's kinetic energy increases by a factor of $4$ when the piston is moved inward from $L _0$ to $\frac{1}{2} L _0$
$(4)$ If the piston moves inward by $d L$, the particle speed increases by $2 v \frac{d L}{L}$
A small particle of mass $m$ moving inside a heavy, hollow and straight tube along the tube axis undergoes elastic collision at two ends. The tube has no friction and it is closed at one end by a flat surface while the other end is fitted with a heavy movable flat piston as shown in figure. When the distance of the piston from closed end is $L = L _0$ the particle speed is $v = v _0$. The piston is moved inward at a very low speed $V$ such that $V \ll \frac{ dL }{ L } v _0$, where $dL$ is the infinitly small displacement of the piston. Which of the following statement($s$) is/are correct?
$(1)$ The rate at which the particle strikes the piston is $v / L$
$(2)$ After each collision with the piston, the particle speed increases by $2 V$
$(3)$ The particle's kinetic energy increases by a factor of $4$ when the piston is moved inward from $L _0$ to $\frac{1}{2} L _0$
$(4)$ If the piston moves inward by $d L$, the particle speed increases by $2 v \frac{d L}{L}$
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