Planet A is located 1.81 x 10^10 [m] away from its parent star. What is the radial acceleration of Planet A if it revolves around its parent star at a constant angular speed of 3.97 x 10-6 [rad/s] along a circular orbit?
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Planet A is located 1.81 x 10^10 [m] away from its parent star. What is the radial acceleration of Planet A if it revolves around its parent star at a constant angular speed of 3.97 x 10-6 [rad/s] along a circular orbit?
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- The Earth is 93 million miles (mi) from the Sun and its period of revolution is 1 year = 31,500,000 s. What is the radial acceleration of the Earth in its orbit about the Sun? Choose 0.0093 mi/s^2 18.6 mi/s^2 0.0000037 mi/s^2 0.0000136 mi/s^2The radius of the earth's orbit around the sun (assumed to be circular) is 1.50×108km, and the earth travels around this orbit in 365 days. What is the magnitude of the orbital velocity of the earth in m/s? What is the radial acceleration of the earth toward the sun? What is the magnitude of the orbital velocity of the planet Mercury (orbit radius =5.79×107km, orbital period = 88.0 days)?A planet orbits a star, in a year of length 4.05e7 s, in a nearly circular orbit of radius 2.51e11 m. With respect to the star, determine (a) the angular speed of the planet, (b) the tangential speed of the planet, and (c) the magnitude of the planet’s centripetal acceleration.
- What is the tangential velocity (in kilometers per hour) of the earth at the equator? The radius of the earth is 6,371 km.An undiscovered planet, many lightyears from Earth, has one moon in a periodic orbit. This moon takes 2010 × 103 seconds (about 23 days) on average to complete one nearly circular revolution around the unnamed planet. If the distance from the center of the moon to the surface of the planet is 235.0 × 106 m and the planet has a radius of 3.30 × 106 m, calculate the moon's radial acceleration ?c .Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. m1=7,27210x10^12kg m2=3,85280x10^11kg L=6,16500x10^8m
- Two celestial bodies whose masses are m1 and m2 are revolving around their common center of mass and the distance between them is L. Assuming that they are both point masses, Find the angular speed, tangential speeds of the masses m1 and m2, and period of the motion. Universal Gravitational Constant, G=6,6742867E-11 m3 kg / s2(Note that the exponent is negative)Radius of Earth, RE: 6,3781366E+06 mMass of Earth, ME: 5,9721426E+24 kg m1=10^12kg m2=10^11kg L=10^8m 7,27210E+00 m1 3,85280E+00 m2 6,16500E+00 LA spaceship orbits earth from a distance of 2.656 × 10^4km with a centripetal acceleration of 7.962 × 10^3 m/s, if the astronauts mission time period is 16 months, how many rotations will the ship complete before returning to earth? ( earth's circumference= 4.0075 × 10^4km)A newly discovered planet is in a circular orbit around a distant star with an orbital period of 325 Earth days. The planet also rotates on its axis, making one full rotation every 2.50 Earth days. The radius of the planet is rp = 8.00 ✕ 106 m and the radius of the planet's orbit about the star is rs = 4.50 ✕ 1011 m.Determine the ratio of the radial acceleration, due to the rotation of the planet, of an object at the equator of the planet (acp) to the radial acceleration of the planet in its orbit about the star (acs).
- Suppose one of the Global Positioning System satellites has a speed of 4.34 km/skm/s at perigee and a speed of 3.20 km/skm/s at apogee. If the distance from the center of the Earth to the satellite at perigee is 2.43×104 kmkm , what is the corresponding distance at apogee?A certain planet has a radius of 7680 km and turns around once on its axis in 2 days. What is the radial acceleration of an object at the planet's equator? Express your answer in m/s2A uniform, spherical cloud of interstellar gas has mass 1.8×1030 kg and radius 1.2×1013 m, and is rotating with period 1.5×106 years. If the cloud collapses to form a star 7.4×108 m in radius, what will be the star's rotation period?