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Q. NASA sends a satellite to another planet by placing the satellite in a Keplerian orbit (around the sun) such that the perihelion is at the radius of the Earth's orbit (1 AU) and the aphelion is at the radius of the planet's orbit. Most of the trip is just free fall in the sun's gravitational field. The small gravitational effects of Earth and the other planet, which only affect the satellite at the very beginning and end of the trip, could be neglected.
Suppose a new planet, call it Questerion, were to appear in Solar System, in a circular orbit of radius 7.20 AU. Analyse the time it would take a NASA satellite to travel from Earth to Questerion. Express the result in years.
A 100 arrow is shot vertically from a bow whose efficient spring constant is 500. If the bow is drawn 75 before shooting the arrow, to what height does the arrow rise .
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The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.5 Hz. What is the total mass of the wire.
Megan's mass is 27 kg. She climbs the 4.8 m ladder of a slide and reaches a velocity of 3.6 m/s at the bottom of the slide. How much work was completed by friction on Megan? Imagine that air resistance is negligible.
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