- Home
- Standard 9
- Science
दो वस्तुओं के बीच लगने वाले गुरुत्वाकर्षण बल का क्या होगा, यदि
$(i)$ एक वस्तु का द्रव्यमान दोगुना कर दिया जाए ?
$(ii)$ वस्तुओं के बीच की दूरी दोगुनी अथवा तीन गुनी कर दी जाए ?
$(iii)$ दोनों वस्तुओं के द्रव्यमान दोगुने कर दिए जाएँ ?
Solution
According to the universal law of gravitation, the force of gravitation between two objects is given by $F=\frac{G M m}{r^{2}}$
$(i)$ $F$ is directly proportional to the masses of the objects. If the mass of one object is doubled, then the gravitational force will also get doubled.
$(ii)$ $F$ is inversely proportional to the square of the distances between the objects. If the distance is doubled, then the gravitational force becomes one-fourth of its original value.
Similarly, if the distance is tripled, then the gravitational force becomes one-ninth of its original value.
$(iii)$ $F$ is directly proportional to the product of masses of the objects. If the masses of both the objects are doubled, then the gravitational force becomes four times the original value.
