Concept explainers
(a)
Theacceleration of the balloon and the instruments.
(a)
Answer to Problem 80A
Explanation of Solution
Given:
The mass of the instruments in a weather balloon is
The upward force exerted by the balloon on the instrument is
Formula used:
Newton’s Second Law:
The object’s acceleration is equivalent to the sum of the forces acting on the object divided by the object’s mass. That is,
Here,
Calculation:
Consider the acceleration due to gravity as
The negative sign indicates the movement of the balloon against the gravity.
Find the net force acting on the assembly of the balloon and the instruments as follows:
Find the acceleration of the balloon and the instruments as follows:
Conclusion:
Thus, the acceleration of the balloon and the instruments is
(b)
The velocity of the instruments when the balloon is accelerated for
(b)
Answer to Problem 80A
The velocity of the instruments is
Explanation of Solution
Given:
The mass of the instruments in a weather balloon is
The upward force exerted by the balloon on the instrument is
Formula used:
Show the expression for the acceleration of the object as follows:
Here,
Calculation:
Refer to part (a).
The acceleration of the balloon and the instrument is
Find the velocity of the instrument as follows:
Conclusion:
Thus, the velocity of the instrument is
(c)
The net force acting on the instrument after release.
(c)
Answer to Problem 80A
The net force acting on the instrument after release is
Explanation of Solution
Given info:
The mass of the instruments in a weather balloon is
The upward force exerted by the balloon on the instrument is
Formula used:
Newton’s Second Law:
The object’s acceleration is equivalent to the sum of the forces acting on the object divided by the object’s mass. That is,
Here,
Calculation:
Find the net force acting on the instruments after the release as follows:
The negative sign indicates that the net force acting on the instruments after the release acts in a downward direction.
Conclusion:
Thus, the net force acting on the instrument after release is
(d)
Thetime when the direction of the velocity becomes downward.
(d)
Answer to Problem 80A
The direction of the velocity becomes downward after
Explanation of Solution
Given:
The mass of the instruments in a weather balloon is
The upward force exerted by the balloon on the instrument is
Formula used:
Equation of Motion:
Show the expression for the equation of motion as follows:
Here,
Calculation:
Consider the acceleration due to the gravity of the Earth is
The final velocity of the instrument is
The initial velocity of the instrument is
Find the time taken for the velocity to change the direction as follows:
Conclusion:
The direction of the velocity becomes downward after
Chapter 4 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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