A 1000 kg object is dropped from a height of 45 m. The object is designed with a geometry that minimizes air resistance. How long does it take for the object to hit the ground?
A. 0.045 seconds
B. 3 seconds
C. 4.5 seconds
D. 9 seconds
Click for Explanation
Mass does not affect time for a projectile to fall in constant gravitational acceleration. For a 45m fall, use the equation y = v0t+1/2at2, with y = 45m, v0 = 0m/sec, and a = 10m/sec2.
45m = 1/2*(10m/sec2)t2, 9sec2 = t2, t = 3 seconds.
A) 0.045 seconds, incorrect, This answer divides the distance by the mass.
B) 3 seconds, correct.
C) 4.5 seconds, incorrect, This answer divides the distance by the gravitational acceleration.
D) 9 seconds, incorrect, This answer uses an incorrect formula proportional to t rather than t2.
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