Ceres is a dwarf planet located in the asteroid belt between the orbits of Mars and Jupiter. The radius of Ceres is 4.76 X 105 m. Suppose an astronaut stands on the surface of Ceres and drops a 0.85 kg hammer from a height of 1.25 m. The hammer takes 3.0 s to reach the ground. (a) Calculate the gravitational field strength on the surface of Ceres. (b) Calculate the mass of Ceres. (c) Calculate the escape velocity from the surface of Ceres.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter7: Gravity
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Problem 17PQ: The mass of the Earth is approximately 5.98 1024 kg, and the mass of the Moon is approximately 7.35...
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Information: Rearth = 6.37 x 10° m
Mearth = 5.98 x 10²ª kg
G = 6.67 x 10" Nxm²/kg?
1. Ceres is a dwarf planet located in the asteroid belt between the orbits of Mars and Jupiter. The
radius of Ceres is 4.76 X 105 m. Suppose an astronaut stands on the surface of Ceres and drops a
0.85 kg hammer from a height of 1.25 m. The hammer takes 3.0 s to reach the ground.
(a) Calculate the gravitational field strength on the surface of Ceres.
(b) Calculate the mass of Ceres.
(c) Calculate the escape velocity from the surface of Ceres.
(d) Calculate the gravitational field strength of Ceres at an altitude of 280 km above its surface.
(e) Calculate the speed of the satellite orbiting around Ceres at an altitude of 280 km.
Transcribed Image Text:Information: Rearth = 6.37 x 10° m Mearth = 5.98 x 10²ª kg G = 6.67 x 10" Nxm²/kg? 1. Ceres is a dwarf planet located in the asteroid belt between the orbits of Mars and Jupiter. The radius of Ceres is 4.76 X 105 m. Suppose an astronaut stands on the surface of Ceres and drops a 0.85 kg hammer from a height of 1.25 m. The hammer takes 3.0 s to reach the ground. (a) Calculate the gravitational field strength on the surface of Ceres. (b) Calculate the mass of Ceres. (c) Calculate the escape velocity from the surface of Ceres. (d) Calculate the gravitational field strength of Ceres at an altitude of 280 km above its surface. (e) Calculate the speed of the satellite orbiting around Ceres at an altitude of 280 km.
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