(a)
The total work done on the stunt woman during the fall.
(a)
Answer to Problem 110P
Thetotal work done on the stunt woman during the fall is
Explanation of Solution
Write the work-energy theorem.
Here,
Write the expression for
Here,
The initial kinetic energy of the woman is zero.
Substitute
Write the expression for
Here,
Put the above equation in equation (II).
Put the above equation in equation (I).
Conclusion:
Given that the mass of the stunt woman is
Substitute
Therefore, the total work done on the stunt woman during the fall is
(b)
Thework done by gravity on the stunt woman.
(b)
Answer to Problem 110P
The work done by gravity on the stunt woman is
Explanation of Solution
The work done by the gravity is the negative of the change in gravitational potential energy of the stunt woman.
Here,
Write the equation for
Here,
Put the above equation in equation (IV).
Conclusion:
Given that the height through which the stunt woman has fallen is
Substitute
Therefore, the work done by gravity on the stunt woman is
(c)
Thework done by air resistance on the stunt woman.
(c)
Answer to Problem 110P
Thework done by air resistance on the stunt woman is
Explanation of Solution
The work is done on the stunt woman by gravity as well as air resistance.
Here,
Rewrite the above equation for
Conclusion:
Substitute
Therefore, the work done by air resistance on the stunt woman is
(d)
The magnitude of the average force of air resistance.
(d)
Answer to Problem 110P
The magnitude of the average force of air resistance is
Explanation of Solution
Take the
Write the above equation for
Here,
Rewrite the above equation for
Conclusion:
Substitute
Therefore, the magnitude of the average force of air resistance is
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