A ball is moving with speed 20 ,m / s collide | vedclass

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Question

(b)

From the above figure,

Initial velocity, $\vec{v}_{ i }=\left(-20 \sin 30^o \hat i-20 \cos 30^{\circ} \hat j \right) m / s$

Final ve

Vedclass · Accepted Answer

$20 \sqrt{3}$

Vedclass · Answer

(b)

From the above figure,

Initial velocity, $\vec{v}_{ i }=\left(-20 \sin 30^o \hat i-20 \cos 30^{\circ} \hat j ight) m / s$

Final velocity, $\overrightarrow{ v }_{ f }=\left(-20 \sin 30^{o}\hat i+20 \cos 30^o \hat  j ight) m / s$

Change in velocity, $\Delta \vec{v}=\vec{v}_f-\vec{v}_i$

$\Delta \overrightarrow{ v }=\left(-20 \sin 30^{o}{ \hat{ i }}+20 \cos 30^0 j ight)-\left(-20 \sin 30^o \hat{ i }-20 \cos 30^{o}{\hat j }ight)$

$\Delta \overrightarrow{ v }=2 	imes 20 \cos 30^{o}{ \hat{ j }}$

$\Delta \overrightarrow{ v }=2 	imes 20 	imes \frac{\sqrt{3}}{2} \hat{ j }$

$\Delta \overrightarrow{ v }=20 \sqrt{3} \hat{ j }$

A ball is moving with speed $20 \,m / s$ collides with a smooth surface as shown in figure. The magnitude of change in velocity of the ball will be ........... $m/s$

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