Kinematics Question 626

Question: A body of mass M is projected horizontally with a velocity v from the top of a tower of height h and it reaches the ground at a distance x from the foot of the tower. If a second body of mass 2M is projected horizontally from the top of a tower of height 2h, it reaches the ground at a distance 2x from the foot of the tower. The horizontal velocity of the second body is

Options:

A) $ ~v $

B)$ 2v $

C) $ \sqrt{2v} $

D)$ v/2 $

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ x=v\sqrt{\frac{2h}{g}},2x=v’\sqrt{\frac{2( 2h )}{g}}=\sqrt{2}v $



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