altZXCVbnm1514alt1.Write the equation for the Force of gravity (weight) on the surface of the earth.2. What is the value of little g in the equation above?3. Calculate the force of gravity of a 20 kg mass on Mars.Radius of Marsctrl3.40 x 10 mMass of Mars6.43 x 1023 kg4. Calculate the force between 2 asteroids. They are 1000 meters apart, one has a mass of 1,000,000 kgand the other has 10,000,000 kg.5.The gravitational force between 2 masses is 100 newtons. What is the force if I double the mass of onof the objects?6.The gravitational force between 2 masses is 100 newtons. What is the force if I double the distancebetween the masses?7. T/F The mass of an object can change if I measure it on a different planet.8.T/F My weight would be slightly less if I climbed to the top of the highest mountain.9. Draw a free body diagram (force diagram) of an object suspended from a string.10. Calculate the tension force on string A in the diagram below. Assume a frictionless surface.15kg 60Nshift

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1. Write the equation for the Force of gravity (weight) on the surface of the earth. 2. What is the value of little g in the equation above? 3. Calculate the force of gravity of a 20 kg mass on Mars. Radius of Mars 3.40 x 10 m 6.43 x 1023 kg Mass of Mars

1. Write the equation for the Force of gravity (weight) on the surface of the earth. 2. What is the value of little g in the equation above? 3. Calculate the force of gravity of a 20 kg mass on Mars. Radius of Mars 3.40 x 10 m 6.43 x 1023 kg Mass of Mars

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 14PQ: Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility...

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Since 1995, hundreds of extrasolar planets have been discovered. There is the exciting possibility that there is life on one or more of these planets. To support life similar to that on the Earth, the planet must have liquid water. For an Earth-like planet orbiting a star like the Sun, this requirement means that the planet must be within a habitable zone of 0.9 AU to 1.4 AU from the star. The semimajor axis of an extrasolar planet is inferred from its period. What range in periods corresponds to the habitable zone for an Earth-like Planet orbiting a Sun-like star?
(a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77 days. Assuming the orbit is circular, calculate the mass of Jupiter, (b) The largest moon of Jupiter, named Ganymede, has an orbital radius of 1.07 109 m and a period of 7.16 days. Calculate the mass of Jupiter from this data, (c) Are your results to parts (a) and (b) consistent? Explain.
Why does Mercury have lobate scarps but Earth, Venus, and Mars do not’
4. Compute the differential tidal force AF exerted on the Earth by Mars when it's at opposition. Express your result as a numerical fraction of the differential tidal force exerted by the Moon, 2GMMoonm RO where ro = 384,000km = 0.00257AU is the Earth-Moon distance and MMoon = 7.2 x 1022kg is the mass of the Moon. Repeat to find the differential tidal force AF exerted by Jupiter at opposition, also expressed as a fraction of AEMaen. (Assume that the Moon, Earth, Mars, and Jupiter are on circular coplanar orbits.)
While working on Mars, you find an unlabeled liquid in the laboratory. When you combine the liquid with water in a 1-liter [L] container, the liquid floats on top of the water. Which of the following could be mystery liquid? The acceleration due to gravity on Mars is 3.71 meters per second squared [m/s2]. Select ALL possible answers below. A. Specific Gravity=0.9 B. Density=1.5 slugs per cubic foot [slug/ft3] C. Density=850 kilograms per cubic meter [kg/m3] D. Density=10 pound-mass per gallon [lbm/gal] E. Specific Weight=850 newtons per cubic meter [N/m3] F. Specific Gravity=1.9 G. Specific Weight=10 pound-force per gallon [lbf /gal]
a. What is a repeat ground-track orbit? b. Explain why repeat ground-track and Sun-synchronous orbits are typically used for Earth observation missions. = c. The constraint for a Sun-synchronous and repeat ground-track orbit is given by T 86, 400, where T is the orbital period in seconds, m the number of days and k the number of revolutions. Explain why this is, in fact, a constraint on the semi-major axis of the orbit. m
Q1. A planet has two moons of equal mass. Moon 1 is in circular orbit of radius r. Moon 2 is in a circular orbit of radius 2r. What is the magnitude of the gravitational force exerted by the planet on Moon 2? a. Four times as large as that on Moon 1 b. Twice as large as that on Moon 1 c. Equal to that on Moon 1 d. Half as large as that on Moon 1 e. One fourth as large as that on Moon 1 Q2. Superman stands on a top of very tall mountain and throws a baseball horizontally with a speed such that the baseball goes into a circular orbit around the earth While the baseball is in the orbit, what is the magnitude of the acceleration of the ball? a. It depends on how fast the baseball is thrown b. It is zero because the ball does not fall to the ground c. It is slightly less than 9.80m/s^2 d. It is equal to 9.80m/s^2 Q3. A comet moves in an elliptical orbit around the sun. Which point in its orbit (perihelion or aphelion) represent the highest value of a. The speed of the comet b. The…
Describe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. a. Use Newton's law of universal gravitation. b. Use Newton's 3rd law. c. Use Newton's 1st law. d. Use law of conservation of energy. e. Use Newton's 2nd law.
What would be the mass of a 60-kg astronaut on a planet with the same density as Earth and having twice Earth's radius? a.240 kg b. 120 kg c. 60 kg d. 30 kg
Pluto has a mass of 1.3x1023kg, and a radius of 1.15x106m. a.Determine the gravitational field strength on the surface of Pluto. b.Determine the gravitational field strength 5.4x105m from the surface of the planet. c. If a 2000kg spacecraftis located at the positionmentioned in the previous question, how fast would the spacecraftneed to travel to orbit Pluto in a circular orbit?
Describe your approach to calculation of the gravitational field strength on a planet with a given size (e.g. diameter) and known escape velocity. O a. Use Newton's 3rd law. O b. Use Newton's 2nd law. O C. Use Newton's law of universal gravitation. O d. Use Newton's 1st law. Use law of conservation of energy.
23. Planet Alpha has the same radius and 4 times the mass of the Earth. What is the best estimate for the magnitude of the gravitational field at the surface of planet Alpha? a. 10 m/s? b. 2.5 m/s? c. 20 m/s? d. 40 m/s? 24. The planet Theta has 3 times the gravitational field strength and 4 tirmes the mass of the Earth. How does the radius of Theta compare with the radius of Earth? a. rTheta = rEarth 2 b. rTheta = E"Earth 4 C. TTheta =-TEarth 3 d. TTheta VZrEarth