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Hd asked in Science & MathematicsPhysics · 9 years ago

DRAG FORCE PHYSICS!!?

1) The terminal velocity of a 4×10^−5 kg raindrop is about 5 m/s . Assuming a drag force Fd= -bv.

A) Assuming a drag force determine the value of the constant b.

B) Assuming a drag force determine the time required for such a drop, starting from rest, to reach 63% of terminal velocity.

PLEASE EXPLAIN. 10 POINTS!!

3 Answers

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  • 9 years ago
    Favorite Answer

    A)

    At the terminal velocity the downward force of gravity balances the upward drag force, so the net force on the raindrop is 0 and it falls at constant speed.

    So Fd = -m*g = -4*10^-5kg * 9.8 m/s^2 = -3.92*10^-4 N

    Also Fd = -b*v when v = 5 m/s

    so b = -Fd / v = 3.92*10^-4 / 5 = 7.84*10^-5 N.s/m <= ANS

    B)

    The force of gravity is reduced by the drag force, so the free-fall acceleration from rest will be

    a = g - Fd/m instead of g.

    v = 63% of 5m/s = 3.15 m/s

    v = a*t = (g - Fd/m)*t = 3.15 m/s

    At v=3.15 m/s Fd = -b*v = 2.47*10^-4 N

    so Fd/m = 6.17 m/s^2 (= reduction in acceleration)

    Hence t = v / a = 3.15 / (9.8 - 6.17) s = 0.87 s <= ANS

  • smock
    Lv 4
    4 years ago

    The arrow keys ought to administration course - that's the organic and organic inclination. Use J for leaping, F to increasw stress, shift F or ctrl-F to cut back it, A for acceleration, V for velocity (assuming which you at the instant are not portraying rather physics - indoors the rather international, increasing stress creates acceleration that will boost velocity).

  • Anonymous
    9 years ago

    All physics is drag force physics...it's a drag, do the math and figure out and what force, lol

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