NEET Physics: Gravitation — Practice Set 2

Q1. A satellite near Earth has a period of 83 minutes. What is its period at \( h = 8 R_E \)? (\( R_E = 6.4 \times 10^6 \, \text{m} \))

Q2. A satellite orbits Earth at \( 13 R_E \) from the center. What is its orbital speed? (\( g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m} \))

Q3. Why does the acceleration due to gravity decrease both above and below Earth’s surface?

Q4. Which of the following statements is incorrect about a satellite in orbit?

Q5. Four \( 3 \, \text{kg} \) masses form a square of side \( 3 \, \text{m} \). What is the potential energy of the system? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q6. Two masses \( 7 \, \text{kg} \) and \( 14 \, \text{kg} \) are \( 14 \, \text{m} \) apart. What is the gravitational potential at a point \( 6 \, \text{m} \) from the \( 7 \, \text{kg} \) mass? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q7. A \( 6 \, \text{kg} \) mass is moved from \( 6 R_E \) to \( 12 R_E \) from Earth’s center. What is the change in potential energy? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q8. A \( 4 \, \text{kg} \) mass is moved from \( 3 R_E \) to \( 6 R_E \) from Earth’s center. What is the change in potential energy? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q9. A body weighs \( 98 \, \text{N} \) on Earth’s surface. What is its weight at a height \( h = 2 R_E/3 \)? (\( g = 9.8 \, \text{m/s}^2, R_E = 6.4 \times 10^6 \, \text{m} \))

Q10. What happens to the acceleration due to gravity at Earth’s center?

Q11. A projectile is launched from Earth’s surface with speed \( 8 \, \text{km/s} \). How far from the center does it reach? (Escape speed = \( 11.2 \, \text{km/s}, R_E = 6.4 \times 10^6 \, \text{m} \))

Q12. What is the gravitational potential due to Earth at \( 2.56 \times 10^7 \, \text{m} \) from its center? (\( M_E = 6 \times 10^{24} \, \text{kg}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q13. A projectile is launched at \( 4 \, \text{km/s} \) from Earth’s surface. What is its maximum distance from the center? (Escape speed = \( 11.2 \, \text{km/s}, R_E = 6.4 \times 10^6 \, \text{m} \))

Q14. A satellite orbits a planet at \( 5 \times 10^7 \, \text{m} \) from its center with a period of 12 hours. What is the planet’s mass? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q15. A \( 400 \, \text{kg} \) satellite orbits Earth at \( 5 R_E \) from the center. What is its total energy? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Physics — Gravitation

Set 2 of 25

22:30

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A satellite near Earth has a period of 83 minutes. What is its period at \( h = 8 R_E \)? (\( R_E = 6.4 \times 10^6 \, \text{m} \))