NEET Physics — Gravitation

Three masses of $8 \, \text{kg}$ each form an equilateral triangle with side $6 \, \text{m}$. What is the net force on one mass? ($G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2$)

A $600 \, \text{kg}$ satellite orbits Earth at $8 R_E$ from the center. What is its total energy? ($M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2$)

A satellite orbits at $3 R_E$ from Earth’s center. What is its speed? ($g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m}$)

What is the gravitational force on a $7 \, \text{kg}$ mass $6 \, \text{m}$ from the center of a spherical shell of mass $300 \, \text{kg}$ and radius $4 \, \text{m}$? ($G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2$)

A $700 \, \text{kg}$ satellite orbits Earth at $10 R_E$ from the center. What is its total energy? ($M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2$)