If the net force acting on a system is represented by and its momentum is , then match the entrie…

Question

If the net force acting on a system is represented by  and its momentum is  , then match the entries of column I with the entries of column II.
Column IColumn II(i) If  is constant[A] may change its direction(ii) If  is changing in magnitude[B]  must change its magnitude(iii) if  is changing in Direction[C]  may not change its direction(iv) If  is zero[D] must not change its Direction

CGP EDU Academic Team · Accepted Answer

The correct answer is D. Step 1: To analyze the relationship between net force and momentum. Step 2: The net force can affect the momentum of the system based on Newton's Second Law: F = \frac{dp}{dt}, where dp is the change in momentum.  Step 3: If the net force is constant, it means that momentum may change in magnitude but can also change direction depending on the force direction.  Step 4: If the net force is zero, then the momentum of the system cannot change in any direction, thus must not change its direction.  Therefore, the correct match for (iv) is [D].

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Column I	Column II
(i) If is constant	[A] may change its direction
(ii) If is changing in magnitude	[B] must change its magnitude
(iii) if is changing in Direction	[C] may not change its direction
(iv) If is zero	[D] must not change its Direction

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