A particle is moving in a circle of radius $r$ having centre at $O$ , with a constant speed $v$ . The magnitude of change in velocity in moving from $A$ to $B$ is

Question

A particle is moving in a circle of radius r having centre O- with a constant speed v- The magnitude of change in velocity in moving from A to B is2v0sqrt -3-vv

Toppr Admin · Accepted Answer

Magnitude of change in velocity from A to B.
Given $| {\to V}_{A} | = V | {\to V}_{B} | = V$

$| {\to V}_{A} - {\to V}_{B} | = \sqrt{V_{A}^{2} + V_{B}^{2} - 2 V_{A} V_{B} cos θ}$
$= \sqrt{V^{2} + V^{2} - 2 V^{2} cos 60}$
$= \sqrt{V^{2} + V^{2} - \frac{2 V^{2}}{2}}$
$= \sqrt{V}$

$| {\to V}_{A} - {\to V}_{B} | = V$

A particle is moving in a circle of radius r having centre at O, with a constant speed v. The magnitude of change in velocity in moving from A to B is2v0√3vv

Magnitude of change in velocity from A to B.Given |→VA|=V|→VB|=V|→VA−→VB|=√V2A+V2B−2VAVBcosθ=√V2+V2−2V2cos60=√V2+V2−2V22=√V|→VA−→VB|=V

A particle is moving in a circle of radius $r$ having centre at $O$ , with a constant speed $v$ . The magnitude of change in velocity in moving from $A$ to $B$ is

$2 v$
$0$
$\sqrt{3} v$
$v$