A body is moving with a uniform speed of 20 , | vedclass

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(C) The speed of the body is $v = 20 \,m/s$.In a uniform circular motion, the velocity vector is always tangent to the circle.Let the initial velocity

Vedclass · Accepted Answer

$40 \,m/s$

Vedclass · Answer

(C) The speed of the body is $v = 20 \,m/s$.In a uniform circular motion, the velocity vector is always tangent to the circle.Let the initial velocity be $\vec{v}_1 = v \hat{j}$ (directed towards North).After half a revolution, the body moves in the opposite direction, so the final velocity is $\vec{v}_2 = -v \hat{j}$ (directed towards South).The change in velocity $\Delta \vec{v}$ is given by:$\Delta \vec{v} = \vec{v}_2 - \vec{v}_1$$\Delta \vec{v} = (-v \hat{j}) - (v \hat{j}) = -2v \hat{j}$The magnitude of the change in velocity is:$|\Delta \vec{v}| = |-2v| = 2v$Substituting the value of $v = 20 \,m/s$:$|\Delta \vec{v}| = 2 	imes 20 = 40 \,m/s$.

$A$ body is moving with a uniform speed of $20 \,m/s$ on a horizontal circle. The change in velocity of the body in half a revolution is

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