The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km from the planet's center, she needs to maintain a speed of 68 m/s. What is the mass of planet X? Hint: The orbital speed and radius determine the period T. Then use Kepler's Third Law.

The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km from the planet's center, she needs to maintain a speed of 68 m/s. What is the mass of planet X? Hint: The orbital speed and radius determine the period T. Then use Kepler's Third Law.

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 25PQ

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

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The captain of a spaceship orbiting planet X discovers that to remain in orbit at 410 km from the planet's center, she needs to maintain a speed of 68 m/s. What is the
mass of planet X?
Hint: The orbital speed and radius determine the period T. Then use Kepler's Third Law.
O 2.8 x 1016 kg
O 4.2 x 1014 kg
O 2.8 x 1019,
9 kg
O 4.2 x 1017 kg

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