An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the other with mass 101.0 kg. They have equal radil, = 0.35 m. The spheres are released from rest with their centers a distance 35.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres. ▾ Part A When their centers are a distance 30.0 m apart, find the speed of the 25.0 kg sphere. Express your answer in meters per second. Templates Symbols Undo redo Peser keyboard shortcuts Help Request Answer Part B Find the speed of the sphere with mass 101.0 kg kg. Express your answer in meters per second. Templates Symbols Submit Submit Undo rego Peser keyboard shortcuts Help m/s Request Answer ▾ Part C Find the magnitude of the relative velocity with which one sphere is approaching to the other. Express your answer in meters per second. Templates Symbol undo regio Reset keyboard shortcuts Help m/s 1₂= m/s

An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the other with mass 101.0 kg. They have equal radil, = 0.35 m. The spheres are released from rest with their centers a distance 35.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres. ▾ Part A When their centers are a distance 30.0 m apart, find the speed of the 25.0 kg sphere. Express your answer in meters per second. Templates Symbols Undo redo Peser keyboard shortcuts Help Request Answer Part B Find the speed of the sphere with mass 101.0 kg kg. Express your answer in meters per second. Templates Symbols Submit Submit Undo rego Peser keyboard shortcuts Help m/s Request Answer ▾ Part C Find the magnitude of the relative velocity with which one sphere is approaching to the other. Express your answer in meters per second. Templates Symbol undo regio Reset keyboard shortcuts Help m/s 1₂= m/s

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 3PQ: For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the...

See similar textbooks

Similar questions

Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.
If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
A point mass m is located a distance D from the nearest end of a thin rod of mass M and length L along the axis of the rod. Find the gravitational force exerted on the point mass by the rod.
The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?
For many years, astronomer Percival Lowell searched for a Planet X that might explain some of the perturbations observed in the orbit of Uranus. These perturbations were later explained when the masses of the outer planets and planetoids, particularly Neptune, became better measured (Voyager 2). At the time, however, Lowell had proposed the existence of a Planet X that orbited the Sun with a mean distance of 43 AU. With what period would this Planet X orbit the Sun?
The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
Two hollow spherical shells are both centered on point C and have masses in the ratio M1/M2=1/4. Point A is outside both shells and point B is between the shells. If the distances from points A and B to the center are in the ratio rA/rB=5, what is the ratio of the gravitational forces FA/FB on a particle placed at A and B?
A uniform, solid sphere, of radius R=0.84km, produces a gravitational acceleration of ag on its surface. At what distance from the sphere's center are there points (a) inside and (b) outside the sphere, where the gravitational acceleration is ag/3?
One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R, and mass 4M. If M= 4.1 * 1024 kg and R = 6.0 *106 m, what is the gravitational acceleration of a particle at points (a) R and (b) 3R from the center of the planet?