(1496) Problem 6: A 565 g squirrel with a frontal surface area of 0.014 m2 falls

Question

(1496) Problem 6: A 565 g squirrel with a frontal surface area of 0.014 m2 falls from a 6.5 m tree to the ground. Assume the density of air in this problem is given by 1.21 kg/m Randomized Variables m= 565 g A-0.014 m2 h 6.5 m 50% Part (a) What is its terminal velocity in m/s? (Use a drag coefficient of 0.70 and assume down is positive) Grade Summary Deductions Potential V10.07 3% 97% Submission Attempts remaining: 4 (3% per attempt) detailed view 789HOMIE cos) cotan asin0 acos0 sin acotanO sinh) 3% 0 cosh)tanh)cotanh) Degrees Radians END VOI BACKSPACE DEL CLEAR Submit Hint I give up! Hints: 1 % deduction per hint. Hints remaining: 3 Feedback: 0% deduction per feedback 50% Part(b) What will the velocity (in m/s) of a 56 kg person falling that distance, assuming no drag contribution?

Explanation / Answer

Solution) We have terminal velocity Vt=(2mg/CpA)^(1÷2)

Vt=((2×565×10^(-3)×9.8)/(0.7×1.21×0.014))^(1÷2)

Vt=30.55m/s

(b) V=(2gh)^(1÷2)

V=(2×9.8×6.5)^(1÷2)

V=(2×9.8×6.5)^(1÷2)

V=11.28m/s

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