On the occasion of Dussehra

Classical Mechanics Level 3

While celebrating Dussehra, one of my friends was throwing an arrow with fire at Raavan of 3 m height from a distance of 10 m. What is the minimum velocity with which he can shoot the arrow so that raavan gets burn?

Assume fire gets out if arrow hits ground before reaching Raavan!


The answer is 10.

Prince Loomba by Prince Loomba , 21, India

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2 solutions

Prince Loomba
Oct 11, 2016

For minimum v, the range should be minimum, which can be 10 here. Also theta should be 45 degree as u 2 s i n 2 θ / g = 10 u^{2}sin2 \theta /g=10 , so u=10..

2 Helpful 0 Interesting 0 Brilliant 0 Confused

this comes under which chapter projectile

abhishek alva - 4 years, 8 months ago

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Yes projectile

Prince Loomba - 4 years, 8 months ago
Ayush G Rai
Oct 11, 2016

Well another formula for calculating minimum velocity is g R \sqrt{gR} keeping in mind that θ = 4 5 ∘ . \theta=45^\circ.
So,minimum velocity = 10 × 10 = 10 . =\sqrt{10\times10}=\boxed{10}.
Note that the height of the raavan is just given to confuse.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

You have to prove it why height is not required

Prince Loomba - 4 years, 8 months ago

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bcoz the minimum distance the arrow can travel for minimum velocity is to touch his toes and must be thrown at 45 degree angle.the fire will then spread all over his body.

Ayush G Rai - 4 years, 8 months ago

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