The Planet Mercury Travels in an Elliptical Orbit with Eccentricity $0.703$

question 56

Multiple Choice

The planet Mercury travels in an elliptical orbit with eccentricity $0.703$ . Its minimum distance from the Sun is $8 \times 10 ^ { 7 } \mathrm {~km}$ . If the perihelion distance from a planet to the Sun is $a ( 1 - e )$ and the aphelion distance is $a ( 1 + e )$ , find the maximum distance (in km) from Mercury to the Sun.

• A) \(45.9 \times 10 ^ { 7 } \mathrm {~km}\)
• B) \(48.0 \times 10 ^ { 7 } \mathrm {~km}\)
• C) \(0.5 \times 10 ^ { 7 } \mathrm {~km}\)
• D) \(26.9 \times 10 ^ { 7 } \mathrm {~km}\)
• E) \(50.0 \times 10 ^ { 7 } \mathrm {~km}\)

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Definitions:

Power Triangle

A graphical representation in electrical engineering that shows the relationship between real power, reactive power, and apparent power in an AC circuit.

Power Factor

A dimensionless number representing the ratio of real power flowing to the load to the apparent power in the circuit, indicating efficiency in electrical systems.

Energy

The ability to do work, which can be transferred between objects and converted into different forms, such as electrical, thermal, or mechanical.

Pull-up Torque

The minimum torque generated by an electric motor during the acceleration from standstill to the speed where torque is maximum.