A planet has a mass of 5.63 x 1023 kg and a radius of 3.00 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 51.5-kg person weigh on this planet? (a) Number i (b) Number i Units Units

A planet has a mass of 5.63 x 1023 kg and a radius of 3.00 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 51.5-kg person weigh on this planet? (a) Number i (b) Number i Units Units

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 46AP: Additional Problems A synchronous satellite. which always remains above the same point on a planet's...

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Astronomical observatrions of our Milky Way galaxy indicate that it has a mass of about 8.01011 solar masses. A star orbiting on the galaxy’s periphery is about 6.0104 light-years from its center. (a) What should the orbital period of that star be? (b) If its period is 6.0107 years instead, what is the mass of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way.
An object is released from rest at an altitude h above the surface of the Earth. (a) Show that its speed at a distance r from the Earths center, where RE r RE + h, is v=2GME(1r1RE+h) (b) Assume the release altitude is 500 km. Perform the integral t=ifdt=ifdrv to find the time of fall as the object moves from the release point to the Earths surface. The negative sign appears because the object is moving opposite to the radial direction, so its speed is v = dr/dt. Perform the integral numerically.
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Review. A student proposes to study the gravitational force by suspending two 100.0-kg spherical objects at the lower ends of tables from the ceiling of a tall cathedral and measuring the deflection of the cables from the vertical. The 45.00-m-long cables are attached to the ceiling 1.000 m apart. The first object is suspended, and its position is carefully measured. The second object is suspended, and the two objects attract each other gravitationally. By what distance has the first objet I moved horizontally from its initial position due to the gravitational attraction to the other object? Suggestion: Keep in mind that this distance will be very small and make appropriate approximations.