UNDERSTANDING THE UNIVERSE(LL)-W/CODE
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 3, Problem 13QAP
To determine

The acceleration of planet if planet is moving in perfectly circular orbit.

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A planet is orbiting a star at a distance of 1.20 × 101 m with a period of 0.750 Earth years. What is the acceleration of the planet?
An extrasolar planet has a mass of eight times that of the Earth and radius of twice that of the Earth? What is the escape velocity of the planet if the escape velocity of the Earth is 11.2 km/sec? An object with a mass of 100 kg measured on Earth is taken to the Mars. What is the mass of the object on the Mars’s surface if the acceleration due to gravity on Mars is two-fifth of that on Earth?
1. Most galaxies, including our own Milky Way, have supermassive black holes at their centers. Recently, astronomers were able to track one star, named S2, as it orbited the black hole at the center of our galaxy. The star's actual orbit is elliptical, but we'll model it as a circular orbit. S2 has a period of 15 years and an orbit radius of 1000 au, where 1 au = 1 astronomical unit is the distance of the earth from the sun. a. What is the speed of S2? Give your answer as a fraction of c, where c is the speed of light, c=3.0×10^8m/s. b. What is the mass of the black hole? Give your answer as a multiple of Ms, where Ms is the solar mass, Ms=2.0×1030kg 2. A projectile is shot straight up from the earth's surface at a speed of 1.10×104 km/hr. How high does it go?
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