Question

Figure below shows a body of mass M moving with uniform speed v along a circle of radius R.. What is change in velocity in going from P₁ to P₂

• A. Zero
• B. $\sqrt{2v}$
• C. $v/\sqrt{2}$
• D. 2 v

Answer 1

Answer: (B)

$\sqrt{2v}$

Answer 2

Change in velocity $= 2v\sin(\theta/2) = 2v\sin\left( \frac{90}{2} \right)$

$= 2v\sin 45 = \frac{2v}{\sqrt{2}} = \sqrt{2}v$