The pulsar at the center of the crab nebula rotates 33 times per second. The radius of the pulsar is about 10 km. What force is required to keep an object with the mass of 80kg on its surface? (3.4x1010 N)
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- The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 ii) What is the orbital speed of Rom?The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 iii) What is the period of Rom’s orbit in Earth years? (One Earth year is 365.25 Earth days.)The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 i) What is the gravitational force of Rom on Galla?
- The mass of the Sun is 2 × 1030 kg, the mass of Mercury is 3.3 × 10 23 kg, and the center-to-center distance is 5.8 × 10 10 m. How far from the center of the Sun is the center of mass of the Sun– Mercury system? Note that the Sun's radius is 7 × 108 m.The planet Neptune has a satellite, Proteus, which travels in an orbit of radius 1.180×108 m with a period of 1.12 days. Calculate the mass of Neptune from this information.If the legendary apple of Newton could be released from rest on the surface of a neutron star with a mass 1.6 times that of our sun (whose mass is 1.99 x 1030 kg) and a radius of 18 km, what would be the difference between the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.5 cm.
- Astronomers discover a distant star with a planet that orbits it in a 2.3 x 10^11 m radius circle. Theplanet's orbital speed is 1.8 x 10^4 m/s. What is the mass of the star?What is the gravitational field (in N/Kg)1.400 ×105 km above the surface of the sun ? radius of the sun = 6.960×105km mass of the sun = 1.989×130 kg G = 6.674 ×10 -11 N·m2/kg2What is the acceleration due to gravity on the Sun, if the Sun has a mass of 2 x 1030 and a radius of 6.96x105 km?
- A meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at distance R1 = 2.9×107 m from the center of the planet. The radius of the planet is R = 0.46×107 m. The mass of the planet is M = 3.2×1025 kg. There is no air around the. Calculate the value of v in meters per second.A planet of mass 4.00 1024 kg is at location < -8.00 1011, 2.00 1011, 0 > m. A star of mass 7.00 1030 kg is at location < 5.00 1011, -2.00 1011, 0 > m. What is the force exerted on the planet by the star?A certain triple-star system consists of two stars, each of mass m = 4.00×1031 kg, revolving about a central star of mass M = 5.90×1031kg in the same circular orbit of radius r = 5.70×1010 km. The two stars are always at opposite ends of a diameter of the circular orbit (see Figure). What is the period of revolution of the stars?