.11 T-Mobile pdf (24).pdf Box 4: When Does Air Drag Matter? What is the speed of

Question

.11 T-Mobile pdf (24).pdf Box 4: When Does Air Drag Matter? What is the speed of an initially stationary ball after falling 2 meters (the approximate height of the stand in the ball drop experiment) near Earth's surface and ignoring air drag? Calculate the magnitude of the air drag force acting on a ball with this speed. You'll need to know the density of air in kg/m (you wrote it in Box 2), the value of A for a sphere with radius.025 m (simto what you did in Box 2, except for a sphere, not a cylinder), anNalue of C for a sphere (0.5) Calculate the ratio of this magnit tional force acting on the ball( the magn it has a the gravita- 75

Explanation / Answer

a) v = sqroot ( 2gh) = sqroot ( 2x 9.8x2) = 6.26 m/s

density of air= 1.225 kg/m^3

area = pi ( 0.025^2)=0.002 m^2 apprx

b) Fd= C ( p) (V^2)A / 2 = ( 0.5) ( 1.225 ) (6.26^2) (0.002) / 2= 0.023 N apprx

Fg = mg = 75 x 10^-3 (9.8) =0.735 N

c) ratio= 0.023/ 0.735 = 0.0313

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