
Concept explainers
(a)
To Calculate:The orbital period of the space craft.
(a)

Answer to Problem 57P
Explanation of Solution
Given data:
Mass of the spacecraft,
Formula Used:
From Kepler’s third law, the square of the period
Here,
Calculation:
The height of the spacecraft is
Here,
Substitute
From Kepler’s third law, the square of the period
Here,
Substitute
Thus, the expression for the period of the spacecraft’s orbit about the Earth is,
Substitute the values and solve:
Conclusion:
The orbital period of te space craft is
(b)
The kinetic energy of the spacecraft
(b)

Answer to Problem 57P
Explanation of Solution
Given data:
Mass of the spacecraft,
Formula used:
The kinetic energy of the spacecraft is
Here,
The orbital velocity of the spacecraft is expressed as follows:
Calculation:
Substitute
Substitute the values:
Conclusion:
The kinetic energy of the spacecraft is
(c)
The
(c)

Answer to Problem 57P
Explanation of Solution
Given data:
Mass of the spacecraft,
Formula used:
The moment of inertia of the space craft is
Calculation:
Substitute the values and solve:
The angular momentum of the spacecraft in terms of kinetic energy is
Substitute the values:
Conclusion:
The angular momentum of the spacecraft is
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Physics for Scientists and Engineers
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