Concept explainers
If Earth somehow acquired more mass, with no change in its radius, would escape speed be less than, equal to, or more than 11.2 km/s? Why?
To explain: Effect on escape velocity for the given condition.
Answer to Problem 39A
The escape velocity will be more than 11.2 km/s.
Explanation of Solution
Given:
The mass of Earth is increased.
Radius of Earth remains same.
Formula Used:
The escape velocity is given by the formula,
Where,
Calculation:
Distance of object from Earth’s center is given by,
Here,
Assume object on the surface of Earth,
So
On substituting the standard values for Earth,
Now for the given situation, radius of Earth is constant while mass is increased.
So,
So,
Since,
Therefore,
Conclusion:
Therefore, the escape velocity will be more than 11.2 km/s.
Chapter 14 Solutions
Conceptual Physics: The High School Physics Program
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