1. Tardigrade
  2. Question
  3. Physics
  4. Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible)?

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two balls of same size but the density of one is greater than that of the other are dropped from the same height, then which ball will reach the earth first (air resistance is negligible)?

J & K CETJ & K CET 2004

Solution:

We know that gravity is a universal force with which all bodies are attracted towards the earth. Hence, $g$ is same for both the balls.
Also, if $t$ is the time taken by the balls to reach the ground, then from equation of motion
$s=u t +\frac{1}{2} g t^{2}$
$\Rightarrow t=\sqrt{\frac{2(S-u t)}{g}}$
Since, $s,\, u$ and $g$ are same for both, hence time taken by both the balls is same.