KVPY SB SX Exam 2011 Question Paper

Question : 21 of 120

Marks: +1, -0

PHYSICS

A narrow but tall cabin is falling freely near the earth's surface. Inside the cabin, two small stones A and B are released from rest (relative to the cabin). Initially A is much above the centre of mass and B much below the centre of mass of the cabin. A close observation of the motion of A and B w ill reveal that

both A and B continue to be exactly at rest relative to the cabin.
A moves slowly upward and B moves slowly downward relative to the cabin.
both A and B fall to the bottom of the cabin with constant acceleration due to gravity.
A and B move slightly towards each other vertically.

Validate

Solution:

a_B > a_C > a_A

a_B = g

a ↖{→}_{ \A\/\CM} = a ↖{→}_ A -a↖{→}_\CM (↑)

a ↖{→}_{ \B\/\CM} = a ↖{→}_ B -a↖{→}_\CM (↓)

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