Question

Identical guns fire identical bullets horizontally at the same speed from the same height above level planes, one on the Earth and one on the Moon. Which of the following three statements is/are true? I. The horizontal distance traveled by the bullet is greater for the Moon

Answer 1

Answer:

horizontal distance on moon > horizontal distance on earth

Explanation:

Let the time of fall is t and the height from which they fall is h.

The time of fall is

$t=\sqrt{\frac{2h}{g}}$

Time of fall on earth

$t=\sqrt{\frac{2h}{g_{e}}$

Time of fall on moon

$t'=\sqrt{\frac{2h}{g_{m}}$

As the gravity on moon is less than the gravity on earth

So, t' > t

Horizontal distance = horizontal velocity x time

So, the horizontal distance on moon is more than the horizontal distance on earth.