Lakhmir Singh and Manjit Kaur Solutions for Chapter: Gravitation, Exercise 3: Long Answer Type Questions

Define gravitational constant. What are the units of gravitational constant?

What do you understand by the term acceleration due to gravity of earth?

What is the usual value of acceleration due to gravity of earth?

State the SI unit of acceleration due to gravity.

Is the acceleration due to gravity of earth $\text{'}g\text{'}$ a constant? Discuss.

Calculate the acceleration due to gravity on the surface of a satellite having a mass of $7.4\times {10}^{22} \mathrm{kg}$ and a radius of $1.74\times {10}^6 \mathrm{m}$ $(G=6.7\times {10}^{-11 }\raisebox{1ex}{$\mathrm{N} {\mathrm{m}}^2$}\!\left/ \!\raisebox{-1ex}{${\mathrm{kg}}^{2 })$}\right.$. Which satellite do you think it would be?

State and explain Kepler's laws of planetary motion. Draw diagrams to illustrate these laws.

The mass of a planet is $6\times {10}^{24} \mathrm{kg}$ and its diameter is $12.8\times {10}^{3 }\mathrm{km}$. If the value of gravitational constant be $6.7\times {10}^{-11}\raisebox{1ex}{$\mathrm{N} {\mathrm{m}}^2$}\!\left/ \!\raisebox{-1ex}{${\mathrm{kg}}^2$}\right.$, calculate the acceleration due to gravity on the surface of the planet. What planet could this be?