QUESTION 6(COLLAB Gauss's Law for Mass) Journey through the Centerof the Earth. A 1024-kg blue ball is dropped from an initial z-position of 2.1 x 10° m through the center of a planet with radius7.7 x 106 m. If the mass of the planet is 46.5 x 1015 kg, measurethe displacement of the ball at time t = 6 s?

Given: The mass of the blue ball is 1024 kg. The position is 2.1x106 m. The radius of the planet is…

(COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z- position of 2.1 x 106 m through the center of a planet with radius 7.7 x 10° m. If the mass of the planet is 46.5 x 1015 kg, measure the displacement of the ball at time t = 6 s?

(COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z- position of 2.1 x 106 m through the center of a planet with radius 7.7 x 10° m. If the mass of the planet is 46.5 x 1015 kg, measure the displacement of the ball at time t = 6 s?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 1024-kg blue ball is dropped from an initial z-position of 3.4 x 106 m through the center of a planet with radius 8.3 x 106 m. If the mass of the planet is 38.1 x 1015 kg, measure the displacement of the ball at time t = 8 s?
An endless thin wire of density Y1 (unit: kg/m) is just above the x axis. An infinitely thin layer of density Y2 (unit: kg/m²) is parallel to the x-y plane and intersects the z-axis at the point z= -a. Find the gravitational field at (x,y,z) position. Give your answer in terms of (G,Y1,Y2, a, x, y, z, ^x, ^y, ^z(unit vectors)). Hint: A hint is given in the figure. The result will be (+ and -).
A 1024-kg blue ball is dropped from an initial z-position of 3.9 x 106 m through the center of a planet with radius 8.8 x 106 m. If the mass of the planet is 42.2 x 1015 kg, measure the displacement of the ball at time t = 6 s?
Our solar system is roughly 2.2 x 1020 m away from the center of the Milky Way galaxy, and the system is moving at roughly 231.4 km/s around the galaxy's center. Since most of the galaxy's mass is near its center (and we are on an outer arm of this spiral galaxy), let's model the galaxy has a spherical mass distribution (like a single, giant star that our system is orbiting around). What is the mass of the galaxy (according to our rough, spherical model)? Obviously, this will be a VERY big answer, and so enter in your answer to the order of 1040 kg. In other words, calculate the answer, and then divide by 1040 and then enter in the result. BTW - by assuming that all mass in the galaxy is made up of stars that are about the same mass as our sun, it isn't too hard to then estimate how many stars are in the galaxy!). As an another aside, some measurements and observations that we have taken in Astronomy suggests that in reality, stars only make up a fraction of the total mass
(COLLAB Gauss's Law for Mass) Journey through the Center of the Earth. A 1024.kg blue ball is dropped from an initial z- position of 2 x 106 m through the center of a planet with radius 8.6 x 106 m. If the mass of the planet is 38.1 x 1015 kg, measure the displacement of the ball at timet = 9 s?
The free-fall acceleration on the surface of Jupiter is about two and one half times that on the surface of the Earth. The radius of Jupiter is about 11.0 RE (RE = Earth's radius = 6.4 106 m). Find the ratio of their average densities, ?Jupiter/?Earth.
Two spherical celestial objects, call them A and B have mass M1 and M2 with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B’s presence in this case. (b) Find the escape velocity of object B. Again ignore A’s presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given parameters and any universal constant.
Problem 33: Planet 1 has mass 3M and radius R, while Planet 2 has mass 4M and radius 2R. They are separated by center-to-center distance 8R. A rock is placed halfway between their centers at point O. It is released from rest, and you may ignore any motion of the planets. Part (b) Calculate the magnitude of the acceleration of the rock (in m/s2) the moment it is released, using M = 59 × 1025 kg and R = 33 × 108 km. Part (d) Calculate the speed the rock crashes into the planet in m/s.
Jupiter is about 300 times more massive than Earth. One might quickly conclude that an object on the surface of Jupiter would weigh 300 times more than on the surface of the Earth. For instance, one might expect a person who weighs 500 N on Earth would weigh 150000 N on the surface of Jupiter. Yet this is not the case. In fact, a 500-N person on Earth weighs about 1500 N on the surface of Jupiter. Explain how this can be.
Problem 4: The center of a moon of mass m= 2 x 1023 kg is a distance D = 28 × 10° km from the center of a planet of mass M = 19.9 × 1023 kg. At some distance x from the center of the planet, along a line connecting the centers of planet and moon, the net force on an object will be zero.
A 1024-kg blue ball is dropped from an initial z-position of 5.8 x 106 m through the center of a planet (earth) with radius 7.1 x 106 m. If the mass of the planet is 41.5 x 1015 kg, measure the displacement of the ball at time t = 4 s?