For a system to follow the law of conservation of linear momentum during a collision, the condition is (1) total external force acting on the system is zero. (2) total external force acting on the system is finite and time of collision is negligible. (3) total internal force acting on the system is zero.

Question

For a system to follow the law of conservation of linear momentum during a collision, the condition is (1) total external force acting on the system is zero. (2) total external force acting on the system is finite and time of collision is negligible. (3) total internal force acting on the system is zero. (A) (1) only (B) (2) only (C) (3) only (D) (1) or (2)

Tardigrade Admin · Accepted Answer

From Newton's second law, F=(d p/d t) If F=0, then (d p/d t)=0 ⇒ p= constant. Thus, if total external force acting on the system is zero, then linear momentum of the system remains conserved.

(1) only

(2) only

(3) only

(1) or (2)

From Newton's second law, F=dtdp​ If F=0, then dtdp​=0 ⇒p= constant. Thus, if total external force acting on the system is zero, then linear momentum of the system remains conserved.

From Newton's second law,
$F = \frac{d p}{d t}$
If $F = 0$ , then $\frac{d p}{d t} = 0$
$\Rightarrow p =$ constant.
Thus, if total external force acting on the system is zero, then linear momentum of the system remains conserved.