A strange cat with a mass $m_c$ is sitting at rest on the left plank of a pair of identical planks. Each plank has mass $m_s$ and they rest on frictionless ice. Suddenly, the cat leaps to the right plank, traveling with a horizontal speed $v_{cg}$ measured with respect to the ground. The instant the cat reaches the right plank, it turns around and leaps back to the left plank. The horizontal component of the cat’s speed is again $v_{cg}$ measured with respect to the ground. The final speed of right plank in terms of the masses of the cat and planks and the cat’s leaping speed is (The cat remains on the left plank after its return).
A strange cat with a mass $m_c$ is sitting at rest on the left plank of a pair of identical planks. Each plank has mass $m_s$ and they rest on frictionless ice. Suddenly, the cat leaps to the right plank, traveling with a horizontal speed $v_{cg}$ measured with respect to the ground. The instant the cat reaches the right plank, it turns around and leaps back to the left plank. The horizontal component of the cat’s speed is again $v_{cg}$ measured with respect to the ground. The final speed of right plank in terms of the masses of the cat and planks and the cat’s leaping speed is (The cat remains on the left plank after its return).
- A
$\frac{{2{m_c}{v_{cg}}}}{{{m_s} + {m_c}}}$
- B
$\frac{{2{m_c}{v_{cg}}}}{{{m_s}}}$
- C
$\frac{{{m_c}{v_{cg}}}}{{{m_s} + {m_c}}}$
- D
$\frac{{{m_c}{v_{cg}}}}{{{m_s}}}$
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