Standing on the surface of a small spherical moon whose radius is 6.05. 104 m and whose mass is 8.89. 1018 kg, an astronaut throws a rock of mass 1.75 kg straight upward with an initial speed of 31.5 m/s. (This moon is too small to have an atmosphere.) What maximum height above the surface of the moon will the rock reach?
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
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- A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.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 comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.9 x 1010 m (inside the orbit of Mercury), at which point its speed is 9.3 x 104 m/s. Its farthest distance from the Sun is far beyond the orbit of Pluto. What is its speed when it is 6 x 1012 m from the Sun? (This is the approximate distance of Pluto from the Sun.) speed = m/s
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- Suppose we race a disk and a hollow spherical shell, like a basketball. The spherical shell has a mass M and a radius R; the disk has a mass 2M and a radius 2 R. If the two objects are release at rest, and the height of the ramp is h=.81 m, find the speed of the disk and the spherical shell when they reach the bottom of the rampA projectile is shot straight up from the earth's surface at a speed of 1.00×104 km/hr .How high does it go?Two spherical asteroids have the same radius R. Asteroid 1 has mass M and asteroid 2 has mass 2M. The two asteroids are released from rest with distance 10R between their centers. What is the speed of each asteroid just before they collide?