Concept explainers
Compare from greatest to least the accelerations of these skydivers.
(a) man with of air drag.
(b) woman with of air drag.
(c) woman with of air drag.
(d) dog with of air drag.
Greatest ___ ___ ___ ___Least
The comparison from greatest to least acceleration of skydivers.
Answer to Problem 3TC
The comparison from greatest to least acceleration of skydivers is
Explanation of Solution
Given Info: Weight of the man in case (a) is 1000 N and air drag in case (a) is 800 N, weight of the woman in case (b) is 800 N and air drag in case (c) is 700 N, weight of the woman in case (c) is 700 N and air drag in case (c) is 600 N, weight of the dog in case (d) is 100 N and air drag in case (d) is 90 N.
Write the expression for net force on the man.
Here,
Substitute the value 1000N for W and 800N for
Write the expression for the mass of the man.
Here,
g is the acceleration due to gravity.
Substitute the value 1000N for W and
Write the expression for the acceleration of the mass.
Substitute the value 200N for F and 100 kg for m in the above expression to get the value of a.
Thus, the acceleration of the man is
Write the expression for the net force on the woman.
Here,
Substitute the values 800N for W and 700N for Fdrag in the above expression to get the value F.
Write the expression for the mass of the woman.
Substitute
Write the expression for the acceleration of the mass.
Substitute the values
Thus, the acceleration of the man is
Write the expression for the net force on the man.
Here,
Substitute the values
Write the expression for the mass of the woman.
Substitute 700N for W and 10m/s2 for g in the above expression to get m.
Write the expression for the acceleration of the mass.
Substitute
Thus, the acceleration of the man is
Write the expression for net force on the man.
Here,
Substitute the values
Write the expression for the mass of the dog.
Substitute the values
Write the expression for the acceleration of the mass.
Substitute the values
Thus, the acceleration of the man is
Conclusion:
Therefore, the ranking from greatest to least of the acceleration of skydivers is .
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