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First Law of Motion

A net non-zer...

Question

A net non-zero external force acts on a system of particles. At any instant t, the velocity and the acceleration of CM are found to be $u_{0}$ and $a_{0}$ . It is possible that

u_{0} = 0, a_{0} = 0

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u_{0} \neq 0, a_{0} \neq 0

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u_{0} \neq 0, a_{0} = 0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

u_{0} = 0, a_{0} \neq 0

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

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Solution

The correct options are
B $u_{0} \neq 0, a_{0} \neq 0$
D $u_{0} = 0, a_{0} \neq 0$

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Similar questions

v_{0}

a_{0}

t

v_{0}

a_{C}

t

v_{0} = 0, a_{C} = 0

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

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

v_{0} \neq 0, a_{C} \neq 0

Column I	Column II
(A) $U_{1} (x) = \frac{U_{0}}{2} {[1 - {(\frac{x}{a})}^{2}]}^{2}$	(P) The force acting on the particle is zero at x = a.
(B) $U_{2} (x) = \frac{U_{0}}{2} {(\frac{x}{a})}^{2}$	(Q) The force acting on the particle is zero at x = 0.
(C) $U_{3} (x) = \frac{U_{0}}{2} {(\frac{x}{a})}^{2} exp [- {(\frac{x}{a})}^{2}]$	(R) The force acting on the particle is zero at x = – a.
(D) $U_{4} (x) = \frac{U_{0}}{2} [\frac{x}{a} - \frac{1}{3} {(\frac{x}{a})}^{3}]$	(S) The particle experiences an attractive force towards x = 0 in the region $\| x \| < a .$
	(T) The particle with total energy $\frac{U_{0}}{4}$ can oscillate about the point x = – a.

Column I	Column II
(A) $U_{1} (x) = \frac{U_{0}}{2} {[1 - {(\frac{x}{a})}^{2}]}^{2}$	(P) The force acting on the particle is zero at x = a.
(B) $U_{2} (x) = \frac{U_{0}}{2} {(\frac{x}{a})}^{2}$	(Q) The force acting on the particle is zero at x = 0.
(C) $U_{3} (x) = \frac{U_{0}}{2} {(\frac{x}{a})}^{2} exp [- {(\frac{x}{a})}^{2}]$	(R) The force acting on the particle is zero at x = – a.
(D) $U_{4} (x) = \frac{U_{0}}{2} [\frac{x}{a} - \frac{1}{3} {(\frac{x}{a})}^{3}]$	(S) The particle experiences an attractive force towards x = 0 in the region $\| x \| < a .$
	(T) The particle with total energy $\frac{U_{0}}{4}$ can oscillate about the point x = – a.

The value of $a^{0}, a \neq 0,$ is zero.

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