11th Physics Gravitation Prep
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What you'll study, topic by topic
2 marks ke liye answer de do
Sample questions with model answers
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State and prove Kepler's law of areas (second law) for planetary motion.
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Kepler's second law states that a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
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Derive the equation for the total energy of a satellite orbiting the Earth.
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The total energy E of a satellite is given by E = K + U, where K is kinetic energy and U is potential energy.
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A satellite orbits the Earth at a height of 400 km from the Earth's surface. How much energy is required to send the satellite out of the Earth's gravitational influence? (Mass of satellite = 200 kg, Mass of Earth = $6.0 \times 10^{24}$ kg, Radius of Earth = $6.4 \times 10^6$ m, G = $6.67 \times 10^{-11} \text{ Nm}^2 \text{kg}^{-2}$)
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The energy required can be calculated using gravitational potential energy and kinetic energy formulas.
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How would you calculate the 'weight of the Sun', that is, its mass? The average radius of the Sun's orbit around the Earth is $1.5 \times 10^8$ km.
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The mass of the Sun can be calculated using $F = \frac{G m M}{r^2}$, where F is gravitational force, m is the mass of the Earth, M is the mass of the Sun, and r is the distance.
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