Which of the following is possible if a non-zero external force acts on a system of particles while at a particular time t the velocity and acceleration of the center of mass are found to be v0 and a0 .

Question

Which of the following is possible if a non-zero external force acts on a system of particles while at a particular time t the velocity and acceleration of the center of mass are found to be v0 and a0 . (A) v0=0,a0=0 (B) v0=0,a0≠ 0 (C) v0≠ 0,a0=0 (D) v0≠ 0,a0=1

Tardigrade Admin · Accepted Answer

If an external force is non-zero then the acceleration of the centre of mass must be non-zero (a0 = (Fe x t/M) ≠ 0) . However, at a particular instant of time velocity of the centre of mass may be zero or non-zero. Hence, v0=0,a0≠ 0.

Q. Which of the following is possible if a non-zero external force acts on a system of particles while at a particular time $t$ the velocity and acceleration of the center of mass are found to be $v_{0}$ and $a_{0}$ .

$v_{0} = 0, a_{0} = 0$

$v_{0} = 0, a_{0} \neq = 0$

$v_{0} \neq = 0, a_{0} = 0$

$v_{0} \neq = 0, a_{0} = 1$

If an external force is non-zero then the acceleration of the centre of mass must be non-zero $(a_{0} = \frac{F _{e x t}}{M} \neq = 0)$ . However, at a particular instant of time velocity of the centre of mass may be zero or non-zero. Hence, $v_{0} = 0, a_{0} \neq = 0.$

Q. Which of the following is possible if a non-zero external force acts on a system of particles while at a particular time t the velocity and acceleration of the center of mass are found to be v0​ and a0​ .

v0​=0,a0​=0

v0​=0,a0​=0

v0​=0,a0​=0

v0​=0,a0​=1