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A particle of mass m moves with constant speed von a circular path of radius r as shown in figure. Theaverage force on it during its motion from A to B lsA-3.0€B13mv221trmv2(2)r213mv2(3)tr313mv2(4)4tr​

Answer» <html><body><p><strong>Answer:</strong></p><p>Themagnitudeofavgforce </p><p>F </p><p>av</p><p> </p><p> </p><p> </p><p> isgivenby</p><p>F </p><p>av</p><p> </p><p> </p><p> </p><p> = </p><p>Δt</p><p>Δp</p><p> </p><p> </p><p> </p><p> </p><p>v </p><p>f</p><p> </p><p> </p><p> </p><p> =vcosθ </p><p>i</p><p> +vsinθ(− </p><p>j</p><p> </p><p> )</p><p>v </p><p>i</p><p> </p><p> </p><p> </p><p> =v </p><p>j</p><p> </p><p> </p><p>Δp</p><p> </p><p> = </p><p>p </p><p>f</p><p> </p><p> </p><p> </p><p> − </p><p>p </p><p>i</p><p> </p><p> </p><p> </p><p> </p><p>=m </p><p>v </p><p>f</p><p> </p><p> </p><p> </p><p> −m </p><p>v </p><p>i</p><p> </p><p> </p><p> </p><p> </p><p>=mvcosθ </p><p>i</p><p> +(−mvsinθ−mv) </p><p>j</p><p> </p><p> </p><p>= </p><p>2</p><p>mv </p><p><a href="https://interviewquestions.tuteehub.com/tag/3-301577" style="font-weight:bold;" target="_blank" title="Click to know more about 3">3</a></p><p> </p><p> </p><p> </p><p> </p><p>i</p><p> − </p><p>2</p><p>3mv</p><p> </p><p> </p><p>j</p><p> </p><p> </p><p>Δp</p><p> </p><p> =mv </p><p>4</p><p>3</p><p> </p><p> + </p><p>4</p><p>9</p><p> </p><p> </p><p> </p><p> =mv </p><p>3</p><p> </p><p> </p><p>Δt=( </p><p>v</p><p>2πr</p><p> </p><p> ) </p><p>3</p><p>2</p><p> </p><p> </p><p>F </p><p>av</p><p> </p><p> </p><p> </p><p> = </p><p>( </p><p>v</p><p>2πr</p><p> </p><p> ) </p><p>3</p><p>2</p><p> </p><p> </p><p>mv </p><p>3</p><p> </p><p> </p><p> </p><p> </p><p>= </p><p>4π</p><p>3 </p><p>3</p><p> </p><p> </p><p> </p><p> </p><p>r</p><p>mv </p><p>2</p><p> </p><p> </p></body></html>


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