(a)
The maximum gravitational force the tractor could exert on the asteroid.
(a)
Answer to Problem 77P
The maximum gravitational force the tractor could exert on the asteroid
Explanation of Solution
The gravitational force of an object on the Earth’s surface is determined by Newton’s universal law of gravitation.
Here,
The mass of the asteroid is given by the density multiplied by the volume.
Use equation (II) in (I),
Conclusion:
Substitute
Therefore, the maximum gravitational force the tractor could exert on the asteroid
(b)
The acceleration of the Asteroid.
(b)
Answer to Problem 77P
The acceleration of the Asteroid is
Explanation of Solution
The expression for the acceleration of the asteroid is given by,
Conclusion:
Substitute
Therefore, The acceleration of the Asteroid is
(C)
The deflection of the asteroid if the tractor stayed near the asteroid for 1 year.
(C)
Answer to Problem 77P
The deflection of the asteroid if the tractor stayed near the asteroid for 1 year is
Explanation of Solution
The expression for the deflection is given by,
Here,
Assume the initial velocity as zero but the time taken is given by,
Conclusion:
Substitute
Therefore, The deflection of the asteroid if the tractor stayed near the asteroid for 1 year is
(d)
Whether the asteroid hits the Earth or not.
(d)
Answer to Problem 77P
Yes, the asteroid will hit the Earth.
Explanation of Solution
The expression for the deflection is given by,
Here,
Assume the initial velocity as zero equation (V) changes to,
Conclusion:
Substitute
It is about 10 years,
The time taken by the asteroid to cover the distance to Earth at a constant velocity is,
It is about
Therefore, , the asteroid will hit the Earth.
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Chapter 5 Solutions
College Physics
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