If it were possible to drill a hole all the way through the Earth along a...
If it were possible to drill a hole all the way through the Earth along a diameter, then it would be possible to drop a ball of mass m = 5 kg through the hole. When the ball was right at the center of the Earth, what would be the total gravitational force exerted on it by the Earth?
Homework Answers
Total gravitational force exerted by earth on the ball when it is at the centre of the earth = 0 (zero) N
It it is so because the gravitational force exerted by all the the directions cancel each other and hence the net gravitational force becomes zero.
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If it were possible to drill a hole all the way through the
Earth along a...
Say you drill a hole all the way through the Earth, and drop a rock in...
Say you drill a hole all the way through the Earth, and drop a rock in the hole. It will fall in, then continue "up" the hole once it gets past the center of the Earth, then come to a stop at the other end of the hole, and fall back in, eventually coming back to you (assuming no friction, of course). (a) You can use Gauss' Law to find the force of gravity as a function of distance from...
Assuming the earth to be of uniform density, drill a hole through the earth between any...
Assuming the earth to be of uniform density, drill a hole
through the earth between any two points on the surface of the
earth. Install a frictionless tube, and evacuate all the air. Show
that the motion of a subway car placed in this tube is simple
harmonic motion and evaluate the period of this motion.
Note: You must show that your solution is
true for a hole between ANY two points on the earth's surface, not
just a hold...
show all steps please! thank you Problem 2. In the approximation that the Earth is a...
show all steps please! thank you
Problem 2. In the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distancer from the center is mg(r/R), where R is the radius of the Earth. Suppose that there is hole drilled along the diameter straight through the Earth and the air was pumped out of the hole. If UPS dropped a package...
8. Imagine that Elon Musk has drilled a hole in the Earth vertically downward, al the...
8. Imagine that Elon Musk has drilled a hole in the Earth vertically downward, al the way through the center of the Earth, and reaching the other side. The Earth has radius R- 6.4 × 106 m, so the hole has a total length 2R, and let's assume the Earth has constant density with total mass M 5.98 x 1024 kg. After completing the hole, a baseball of mass m 0.145 kg is dropped downwards into the hole. (a) Show...
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5. Suppose a tunnel runs through Earth from pole to pole, as shown below. Assume that...
5. Suppose a tunnel runs through Earth from pole to pole, as shown below. Assume that Earth is a nonrotating, uniform sphere. Find the gravitational force on a particle of mass m dropped into the tunnel when it reaches a distance r from Earth' s center.
Suppose that the attraction between the moon and the earth were due to Coulomb forces rather...
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5. The sun, earth, and moon are arranged as shown. (Ilustration NOT to scale.) vector force...
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A satellite in Earth orbit has a mass of 99 kg and is at an altitude of 1.98 X 100 m. (Assume that U = 0 asr →0.) (a) What is the potential energy of the satellite-Earth system? What is the equation for gravitational potential energy when the altitude is comparable to the radius of the Earth? ) (b) What is the magnitude of the gravitational force exerted by the Earth on the satellite? (c) What force, if any, does...
Assuming the earth to be of uniform density, drill a hole
through the earth between any two points on the surface of the
earth. Install a frictionless tube, and evacuate all the air. Show
that the motion of a subway car placed in this tube is simple
harmonic motion and evaluate the period of this motion.
Note: You must show that your solution is
true for a hole between ANY two points on the earth's surface, not
just a hold...
show all steps please! thank you
Problem 2. In the approximation that the Earth is a sphere of uniform density, it can be shown that the gravitational force it exerts on a mass m inside the Earth at a distancer from the center is mg(r/R), where R is the radius of the Earth. Suppose that there is hole drilled along the diameter straight through the Earth and the air was pumped out of the hole. If UPS dropped a package...
8. Imagine that Elon Musk has drilled a hole in the Earth vertically downward, al the way through the center of the Earth, and reaching the other side. The Earth has radius R- 6.4 × 106 m, so the hole has a total length 2R, and let's assume the Earth has constant density with total mass M 5.98 x 1024 kg. After completing the hole, a baseball of mass m 0.145 kg is dropped downwards into the hole. (a) Show...
Direct flights to Beijing from the East Coast (eg, New York City) typically take -15 hours. A hypothetically faster way to travel to the opposite side of the Earth would be to drop an object through:a tunnel drilled through the center o shown to the right. f the Earth along its diameter, as Rp (a) One could prove, using three-dimensional integral calculus techniques, that the gravitational force on an object located on the surface of a (hypothetical) solid, uniform sphere...
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