quiz-S08

# quiz-S08 - Quiz 1 This is a photograph of an apple and...

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Quiz 1 This is a photograph of an apple and feather free fall in a evacuated chamber. The apple and feather are released from the top. Suppose the camera opened flash every 1 s. (1) Suppose A1 is the distance from t = 0s to t = 1 s, A2 is the distance from t = 1s to t =2s, A3 is the distance from t = 2s to t = 3s …… what is the ratio of A1: A2: A3……. (2) If camera opened flash every 0.06s, is the ratio of the distance between every 0.06 s the same as above or change? Why?

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Answer: The ratio is 1:3:5 :7……(2n -1), here n = 1, 2, 3, Show it in general case, suppose the time interval is t The distance from 0 –one t, A1 = ½*g*( t) 2 (notice here I consider the distance, so I neglect (-) sign) The distance from t---2 t, A2 = ½*g*(2 t) 2 -½*g*( t) 2 = ½*g*( t) 2 (2 2 -1) Using the same way the distance from 2 t---3 t, A3 = ½*g*( t) 2 (3 2 -2 2 ) A4 = ½*g*( t) 2 (4 2 -3 2 ) ……. An = ½*g*( t) 2 (n 2 – (n-1) 2 ) = ½*g*( t) 2 (n 2 –n 2 +2n-1) = ½*g*( t) 2 (2n-1) Therefore the ratio should be 1:3:5…….(2n-1), the ratio is independent of t
Quiz question 2. A 200 kg horse is hooked up to a 400 kg wagon. you signal the horse to pull forward (see (a) )The horse turns to you and says, “Why bother? However hard I pull, the wagon is just going to exert an equal but opposite force. The wagon won’t move.” Will the wagon move? Explain. You can use the Free-body diagram (b) and ( c) as kind of explanation you give the horse to convince him to pull

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Hi, horse, you are wrong! The wagon will move if
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quiz-S08 - Quiz 1 This is a photograph of an apple and...

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