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 $
