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A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of 100 m from the foot of the tower. A body of mass 2M thrown at a velocity /v2 from the top of the tower of height 4H will touch the ground at a distance of ______ m.

Asked in JEE Main 8th April 2nd Shift 2024 · Projectiles from a height or an incline

Answer: 100

Step-by-step solution

Horizontal throw: distance = v√(2H)/g = 100 m (mass plays no part).

New throw: /v2√(2(4H))/g = /v2·2√(2H)/g = v√(2H)/g = 100 m.

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