A star that has a mass equal to the mass of our Sun is located 2.50 x 10° km from another star that has a mass that is one-half of the Sun's mass. The net gravitational force of the two stars on a space probe positioned between them is zero. The probe's mass is 1.00 x 10 kg. Determine the distance d of the space probe from the more km massive star. d =
A star that has a mass equal to the mass of our Sun is located 2.50 x 10° km from another star that has a mass that is one-half of the Sun's mass. The net gravitational force of the two stars on a space probe positioned between them is zero. The probe's mass is 1.00 x 10 kg. Determine the distance d of the space probe from the more km massive star. d =
Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
Problem 1LR
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![**Problem Statement:**
A star that has a mass equal to the mass of our Sun is located \(2.50 \times 10^9\) km from another star that has a mass that is one-half of the Sun’s mass. The net gravitational force of the two stars on a space probe positioned between them is zero. The probe's mass is \(1.00 \times 10^5\) kg.
**Task:**
Determine the distance \(d\) of the space probe from the more massive star.
\[ d = \boxed{\phantom{000}} \ \text{km} \]
**Explanation:**
In this scenario, a space probe is situated between two stars such that the gravitational forces from both stars cancel each other out, leading to a net gravitational force of zero. This positioning ensures that the space probe remains stationary relative to the stars under the influence of their gravitational pulls.
The task involves calculating the exact placement or distance \(d\) of the probe from the star with the mass equal to our Sun, where this balance of gravitational forces occurs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe496cfb4-14de-4877-8074-43f9c7c49581%2Fac872959-22ba-4fed-9db6-39eaba590d48%2F7b6dkkj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A star that has a mass equal to the mass of our Sun is located \(2.50 \times 10^9\) km from another star that has a mass that is one-half of the Sun’s mass. The net gravitational force of the two stars on a space probe positioned between them is zero. The probe's mass is \(1.00 \times 10^5\) kg.
**Task:**
Determine the distance \(d\) of the space probe from the more massive star.
\[ d = \boxed{\phantom{000}} \ \text{km} \]
**Explanation:**
In this scenario, a space probe is situated between two stars such that the gravitational forces from both stars cancel each other out, leading to a net gravitational force of zero. This positioning ensures that the space probe remains stationary relative to the stars under the influence of their gravitational pulls.
The task involves calculating the exact placement or distance \(d\) of the probe from the star with the mass equal to our Sun, where this balance of gravitational forces occurs.
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