An Object Is Released from Rest When It Is a Height

question 29

Multiple Choice

An object is released from rest when it is a height h above the surface of a planet of mass M and radius R. What is the speed of the object just before striking the surface of the planet? Neglect any air resistance. Let h = 4.0 × 10⁶ m, R = 5.0 × 10⁶ m, and M = 4.0 × 10²⁴ kg.

• A) 7.8 km/s
• B) 3.5 km/s
• C) 5.4 km/s
• D) 6.9 km/s
• E) 4.8 km/s

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Definitions:

Risk-neutral

A risk preference suggesting indifference between taking a risk with a potential gain or loss and a certain outcome with the same expected payout.

Utility

A measure of satisfaction, happiness, or benefit derived from consuming a product or service.

Decreasing Rate

A situation in which the rate or speed of some process or action diminishes over time.

Payoffs

The outcomes or returns from a particular action or investment, often used in the context of game theory or decision-making.