Aliens declare war on Earth by dropping an asteroid on our planet. The asteroid starts at rest from a distance of 37 x 106 m from the center of Earth. Calculate the speed with which the asteroid hits Earth's surface, in km/s. Use that G = 6.7 x 10-11 N m2 / kg2, MEarth = 6 x 1024 kg, and REarth = 6 x 106 m. (Please answer to the fourth decimal place - i.e 14.3225)
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Aliens declare war on Earth by dropping an asteroid on our planet. The asteroid starts at rest from a distance of 37 x 106 m from the center of Earth. Calculate the speed with which the asteroid hits Earth's surface, in km/s. Use that G = 6.7 x 10-11 N m2 / kg2, MEarth = 6 x 1024 kg, and REarth = 6 x 106 m.
(Please answer to the fourth decimal place - i.e 14.3225)
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- Europa orbits Jupiter at a distance of 6.7 x 108 m from Jupiter's cloudtops (the surface of the planet). If Jupiter's mass is 1.9 x 1027 kg and radius is 6.8 x 107 m, what is the speed of Europa as it orbits in m/s? Round to the nearest hundredth. Don't worry about putting units, just put the number.A solar sailplane is going from Earth to Mars. Its sail is oriented to give a solar radiation force of FRad = 7.95 × 102 N. (At an angle of 30 degrees north of the horizontal force exerted by the sun.) The gravitational force due to the Sun is 173 N (is horizontal pointing west.) and the gravitational force due to Earth is 1.00 × 102 N. (Perpendicular to the gravitational force of the sun and pointing south) All forces are in the plane formed by Earth, Sun, and sailplane. The mass of the sailplane is 14,600 kg. What is the magnitude of the net force acting on the sailplane? What is the direction of the net force acting on the sailplane?Two vectors, A and B have their tails at the origin and are described by parameters (r,θ), where r is distance to the tip of the vector from the origin, and θ is the angle it makes with the positive x-axis. For A = (4, 30 deg) and B = (2, 90 deg), what is AB ?
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