Concept explainers
Part (a)
The apparent weight of an astronaut 2500 km from the center of the Moon in a space vehicle which moves at a constant velocity.
Answer to Problem 52P
Solution:
The apparent weight of the astronaut is and acts towards the center of the Moon.
Explanation of Solution
Given:
Mass of the astronaut,
The orbiting radius of the space vehicle,
Formula Used:
Gravitational force:
Also,
Where,
m is the mass of the astronaut
r is the distance between M and m
Calculation:
The acceleration due to gravity for Moon at a distance 25000 km from its center is given by
Now at a constant velocity, the acceleration of the spaceship is zero.
So, the apparent weight of the astronaut is:
Substitute the values and solve:
This is the apparent weight of the astronaut and acts towards the center of the Moon.
Conclusion:
Therefore, the apparent weight of the astronaut is
Part (b)
The apparent weight of an astronaut 2500 km from the center of the Moon when the space vehicle accelerates at
Part (b)
Answer to Problem 52P
Solution:
Therefore, the apparent weight of the astronaut is
Explanation of Solution
Given:
Mass of the astronaut,
The orbiting radius of the space vehicle,
Formula Used:
Gravitational force:
Also,
Where,
m is the mass of the astronaut
r is the distance between M and m
Calculation:
The acceleration due to gravity for Moon at a distance 2500 km from its center is given by
According to Newton’s second law of motion,
Substitute the values and solve:
Conclusion:Therefore, the apparent weight of the astronaut is
Chapter 5 Solutions
Physics: Principles with Applications
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