You Have Discovered a New Asteroid, Which Has a Moon

question 19

Multiple Choice

You have discovered a new asteroid, which has a moon in an elliptical orbit around it. From a series of observations, you establish that the closest approach occurs when the moon is 49,000 m from the asteroid, the furthest separation is 98,000 m, and the speed of the moon at the point of closest approach is 7.50 m/s. What is the mass of the asteroid? G = 6.67 x 10^-11 N•m²/kg².

• A)4.25 × 10¹⁶ kg
• B)9.87 × 10¹⁶ kg
• C)3.10 × 10¹⁶ kg
• D)2.04 × 10¹⁶ kg
• E)5.05 × 10¹⁶ kg

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Definitions:

Physiological Dependence

A condition in which the body has adapted to the presence of a substance, leading to withdrawal symptoms when the substance is reduced or not used.

Heart Attacks

Medical emergencies that occur when the flow of blood to the heart is blocked, often by a blood clot, causing damage to heart muscle.

Psychological Dependence

A condition in which an individual feels compelled to continue using a substance due to emotional or psychological needs.

Mental Craving

A strong emotional or psychological desire or need, often for a specific substance or experience.