Question

⤴️ Question for stars ⭐
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Answer 1

Answer :-

Given :-

• Mass = Mkg

• V = 5m/sec

• R = 5m

• g = 10m/$\sf {sec}^{2}$

Solution :-

Block can leave surface of hemisphere if there is no reaction force and Radical acceleration $\sf\bigg( \dfrac{ {V}^{2} }{R} \bigg)$ is acted.

Now ,

$\large \boxed { \bf Formula \: used}$

$\large \boxed { \bf mg \cos( \theta ) = \frac{ {mv}^{2} }{R} }$

$\\ \\ \large \bf \implies \cos( \theta) = \dfrac{ {V}^{2} }{g \times R}$

$\\ \\ \large \bf \implies \cos( \theta) = \dfrac{ {5}^{2} }{10 \times 5}$

$\\ \\ \large \bf \implies \cos \theta = \dfrac{ \cancel{25}}{ \cancel{50}}$

$\\ \\ \large \bf \implies \cos \theta = \dfrac{1}{2}$

$\\ \\ \large \bf \implies \theta = { \cos}^{ - 1} \bigg( \dfrac{1}{2} \bigg) \implies60 ^\circ$

So, the value of $\theta$ = 60$^\circ$

Answer 2

Answer:

$60$

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