Question

what is the minimum height h for which the stone will not fall off the track

Answer 1

Answer:

The projectile's maximum height h is equal to one-half of H, the triangle's altitude. = H − 12H, resulting in h = H/2, which is the intended result.

Explanation:

• We will utilise the formulae for calculating gravity above and below the earth's surface, as well as the parameters specified. We'll use the criterion described in the previous question concerning the equal value of h and d, where h is the height of the item to be determined and d is the depth. Both h and d are far less than the radius of the Earth.
• The following formula is used: gh=g(12hR),gd=g(1dR), where g is gravity, h is the height of an item above the earth's surface, d is depth taken within the earth's surface, and R is the radius of the earth.