NEET Physics: Gravitation — Practice Set 15

Q1. Which of the following statements is correct about Kepler’s third law?

Q2. Which of the following statements is correct about gravitational potential energy?

Q3. A projectile is launched at \( 5 \, \text{km/s} \) from Earth’s surface. What is its maximum distance from the center? (Escape speed = \( 11.2 \, \text{km/s}, R_E = 6.4 \times 10^6 \, \text{m} \))

Q4. What is the escape speed from a planet with mass \( 2.4 \times 10^{24} \, \text{kg} \) and radius \( 4 \times 10^6 \, \text{m} \)? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q5. A moon orbits a planet with period 8 days and radius \( 3 \times 10^8 \, \text{m} \). What is the planet’s mass? (\( G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2, 1 \, \text{day} = 86400 \, \text{s} \))

Q6. How much energy is required to move a \( 300 \, \text{kg} \) satellite from \( 7 R_E \) to \( 14 R_E \) from Earth’s center? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q7. A planet orbits the Sun with a period of 12 years. If Earth’s orbital radius is \( 1.5 \times 10^{11} \, \text{m} \), what is its semi-major axis?

Q8. What is the gravitational potential due to Earth at \( 5.12 \times 10^7 \, \text{m} \) from its center? (\( M_E = 6 \times 10^{24} \, \text{kg}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q9. A \( 1000 \, \text{kg} \) satellite orbits Earth at \( 16 R_E \) from the center. What is its total energy? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Q10. What is the kinetic energy of a \( 200 \, \text{kg} \) satellite at \( 4 R_E \) from Earth’s center? (\( M_E = 6 \times 10^{24} \, \text{kg}, R_E = 6.4 \times 10^6 \, \text{m}, G = 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \))

Physics — Gravitation

Set 15 of 25

15:00

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1Question 1 of 10
Medium

Which of the following statements is correct about Kepler’s third law?