Question

tires from wearing out?
प्र.18 पृथ्वी तल से प्रक्षेपित किसी पिण्ड की पलायन चाल के लिए सूत्र स्थापित कीजिये।
Establish a formula for the escape velocity of a body projected from
the Earth's surface.
अथवा
कृत्रिम उपग्रह किसे कहते हैं? इसकी कक्षीय चाल एवं सम्पूर्ण ऊर्जा के लिए सूत्र
स्थापित कीजिये।
What is an artificial satellite? Establish the formula for its orbital velocity​

Answer 1

Answer 1) :-

→ Escape velocity = √(2GM/R) = √(2gR)

• g = The acceleration due to gravity = 9.8 m/s².
• R = Radius of earth = 6.4 × 10^6 m .

so,

→ Escape velocity = √(2 * 9.8 * 6.4 × 10^6) ≈ 11.2 * 10³ m/s ≈ 11.2 km/s .

Answer 2) :-

→ Artificial satellite :- Human built objects orbiting the Earth and other planets in the Solar System .

→ Orbital velocity = √(GM/R) where,

• G = gravitational constant = 6.67 * 10^(-11) m³ / s² kg.
• M = mass of the planet .
• R = radius of the planet .