Characteristics of Circular Orbits

         

A satellite with mass m=3.00×104 kg m = 3.00 \times 10 ^4 \text{ kg} goes around a planet with mass M=6.00×1017 kg M = 6.00 \times 10 ^{17} \text{ kg} in a circular orbit of radius R=4.00×106 m. R = 4.00 \times 10^6 \text{ m}. Find the approximate orbital speed v v for the satellite.

The universal gravitational constant is G=6.67×1011 Nm2/kg2.G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.

A satellite of mass m=4.00×104 kg m = 4.00 \times 10 ^4 \text{ kg} orbtis around a planet of mass M=6.00×1017 kg. M = 6.00 \times 10 ^{17} \text{ kg}. If the satellite's gravitational potential energy is U=4.00×105 J, U=-4.00 \times 10^5 \text{ J}, what is the approximate kinetic energy of the satellite?

Details

  • The universal gravitational constant is G=6.67×1011 Nm2/kg2.G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.

A satellite with mass m=2.00×104 kg m = 2.00 \times 10 ^4 \text{ kg} goes around a planet with mass M=8.00×1017 kg M = 8.00 \times 10 ^17 \text{ kg} in a circular orbit of radius R. R. If the speed of the satellite is v=5.17 m/s, v = 5.17 \text{ m/s}, whatis the approximate angular momentum of the satellite?

The universal gravitational constant is G=6.67×1011 Nm2/kg2.G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.

A satellite of mass m=4.00×104 kg m = 4.00 \times 10^4 \text{ kg} orbits around a planet while maintaining a height of h=500 km h = 500 \text{ km} from its surface. If the planet has mass M=9.00×1017 kg M = 9.00 \times 10 ^{17} \text{ kg} and radius R=1.50×106 m, R = 1.50 \times 10^6 \text{ m}, what is the approximate kinetic energy of the satellite?

The universal gravitational constant is G=6.67×1011 Nm2/kg2.G=6.67 \times 10^{-11} \text{ N}\cdot\text{m}^2\text{/kg}^2.

A satellite is moving around the earth in a stable circular orbit. Which of the following statements is WRONG about this satellite?

(a) It is moving at a constant speed.

(b) It is acted upon by a force directed away from the center of the earth which counter-balances the gravitational pull of the earth.

(c) Its angular momentum remains constant.

(d) It behaves as if it were a free-falling body.

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