esc a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in substitution. 5.98 x 1024 kg b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep space, far away from Earth? Assume a typical human life span of t = 80 years. I
esc a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in substitution. 5.98 x 1024 kg b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep space, far away from Earth? Assume a typical human life span of t = 80 years. I
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)...
Related questions
Question
![esc
a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or
planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation
fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in
substitution.
5.98 x 1024 kg
b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth
and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's
surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep
space, far away from Earth? Assume a typical human life span of t = 80 years.
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b7eba7e-d29f-42c7-9b0b-214fcff5d41f%2F04c58918-b9f6-4820-bfc4-071649835ca5%2Fpr3mih_processed.jpeg&w=3840&q=75)
Transcribed Image Text:esc
a) 10 points) Gravitational Time Dilation. The escape velocity from the surface (radius r) of a star or
planet of mass M is given by the formula v = (2GM/r). Use this expression to write the time-dilation
fraction, At/t, in terms of the ratio of vesc to the speed of light, c. Hint: This is just a simple exercise in
substitution.
5.98 x 1024 kg
b) (10 points) Extra Lifetime on the Surface of Earth. The Earth has mass MEarth
and radius REarth 6.38 x 10 m. What is the fractional time-dilation (At/t) for someone on the Earth's
surface? How much longer (At) is a typical lifetime on the surface of Earth, compared to someone in deep
space, far away from Earth? Assume a typical human life span of t = 80 years.
I
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