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Q. After the NEAR spacecraft passed Mathilde, on some occasion's rocket propellant was expelled to adjust the spacecraft's momentum in order to follow a path that would approach the asteroid Eros, final destination for the mission. After getting close to Eros, further small adjustments made the momentum just right to give a circular orbit of radius 45 km (45 × 103 m) around asteroid. So much propellant had been used that the final mass of the spacecraft while in circular orbit around Eros was only 515 kg. The spacecraft took 1.04 days to make one complete circular orbit around Eros. Determine what the mass of Eros should be.
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A screen is placed 51.0 cm from a single slit that is illuminated with light of wavelength 677 nm. If the distance between the first and third minima in the diffraction pattern is 2.80 mm, what is the width of slit.
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Each is afraid that one vine will break; as a result they grab each other and hang on. They swing upward together, reaching a point where the vines make an angle of 22.1° with the vertical. Find the value of the ratio m/M.
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