(a)
The magnitude of the force.
(a)
Answer to Problem 95P
The magnitude of the force is
Explanation of Solution
In problem, time for which force applied is
Write impulse-momentum equation.
Here,
Write the expression for
Here,
Since the spaceship starts from rest,
Substitute
Substitute
In this problem speed of spaceship is a large fraction of
Write the equation for the relativistic momentum of spaceship.
Here,
Put the above equation in equation (II) to get the final expression for
Conclusion:
Substitute
Substitute
Therefore, the magnitude of the force is
(b)
The initial acceleration of the spaceship and comment on the magnitude of the acceleration.
(b)
Answer to Problem 95P
The initial acceleration of the spaceship is equal to
Explanation of Solution
Write the expression for the acceleration.
Here,
Conclusion:
Substitute
Since acceleration is positive, direction of acceleration is in the direction of force. Since this acceleration is
Therefore, the initial acceleration of the spaceship is equal to
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