Question

An elephant and an ant are to be projected out of the earth into space. What is the velocity needed to do so?

• A. Elephant needs to be projected with a higher velocity.
• B. Ant should be projected with a higher velocity.
• C. Both should be projected with the same velocity.
• D. Elephant cannot be projected to space.

Answer 1

Step 1 .Using escape velocity formula
The escape velocity $v_e=\sqrt{2gR}$, does not depend upon the mass of the projected body. Thus we need the same velocity to project an elephant and an ant into space.

Final answer - The correct option is B Both should be projected with the same velocity.