NEET Physics Question - Center of Mass , Momentum and Collision

Assertion (A): A body with negative energy cannot have linear momentum.

Reason (R): Magnitude of linear momentum can be negative.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

Total mechanical energy \(E = K + U\) can be negative if potential energy \(U\) is negative and larger in magnitude than kinetic energy \(K\).

However, kinetic energy \(K = \frac{1}{2}mv^2\) is always non-negative, implying momentum exists. The magnitude of linear momentum \(|\vec{p}| = mv\) is always non-negative.

Therefore, both Assertion and Reason are false.

Rankers Physics

Energy and Momentum

Solution:

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