(a)
To determine: The speed of the sky diver when he lands on the ground.
(a)
Answer to Problem 24P
Answer: The speed of the sky diver when he lands on the ground is
Explanation of Solution
Explanation:
Given information:
An
Formula to calculate the speed of the sky diver by conservation of energy is,
The initial kinetic energy of the sky diver is zero because sky diver is initially at rest and final potential energy of the sky diver is zero because the distance is zero.
Formula to calculate the potential energy of the sky diver before jump is,
Formula to calculate the total mechanical energy of the system is,
Formula to calculate the kinetic energy of the sky diver when he lands on ground is,
Substitute
The force
Substitute
Conclusion:
Therefore, the speed of the sky diver when he lands on the ground is
(b)
To explain: Whether the sky diver will be injured or not.
(b)
Answer to Problem 24P
Answer: Therefore, the sky diver will be injured because his speed is very high.
Explanation of Solution
Explanation:
Given information:
An
Yes, the sky diver will be injured because speed of the sky diver is covered the distance approx
Conclusion:
Therefore, the sky diver will be injured because his speed is very high.
(c)
To determine: The height at which parachute should be open if the final speed of the sky diver when he hits the ground is
(c)
Answer to Problem 24P
Answer: The height parachute should be open is
Explanation of Solution
Explanation:
Given information:
An
From equation (II),
Assume
Substitute
Conclusion:
Therefore, height parachute should be open is
(d)
To determine: The assumption that the total retarding force is constant.
(d)
Answer to Problem 24P
Answer: Therefore, as the density of air changes with the altitude therefore, the assumption that the retarding force is constant is not realistic.
Explanation of Solution
Explanation:
Given information:
An
The assumption that total retarding force is constant is not realistic because the air density changes with the change in altitude. Retarding force is proportional to the density of the air so, with the change in the density of air, the retarding force also changes with the altitude.
Conclusion:
Therefore, as the density of air changes with the altitude therefore, the assumption that the retarding force is constant is not realistic.
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