Solving for Speed After Man Shoves Stone: A Misstep?

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A 75 kg man pushes a 74 g stone with a speed of 2.3 m/s, and the question is about the man's resulting speed. The initial calculation using conservation of momentum gives a speed of 0.002 m/s for the man, but this was marked incorrect. The discussion highlights the importance of significant figures, suggesting that the answer should be expressed as 0.0020 m/s to reflect the correct precision. The conversation emphasizes the need to maintain proper units and significant figures in physics calculations.
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A 75 kg man lying on a surface of negligible friction shoves a 74 g stone away from himself, giving it a speed of 2.3 m/s. What speed does the man acquire as a result?

so i have m1v1f + m2v2f = 0

since I am solving for v2f i get v2f = (.074*2.3)/75 = .002

but wileyplus says that wrong, did i make a mistake anywhere?
 
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Try thinking about the answer first.
A man standing on ice (or on a skateboard if you live below 49deg) pushes a block that weighs about the same as him.

How do you expect him to move.
 


apiwowar said:
A 75 kg man lying on a surface of negligible friction shoves a 74 g stone away from himself, giving it a speed of 2.3 m/s. What speed does the man acquire as a result?

so i have m1v1f + m2v2f = 0

since I am solving for v2f i get v2f = (.074*2.3)/75 = .002

but wileyplus says that wrong, did i make a mistake anywhere?
I think it's a significant figure thing. You need another digit to get 2 sig figures in your result. Don't forget the units.
 


opps sorry - read that as a 74kg stone.
 


apiwowar said:
A 75 kg man lying on a surface of negligible friction shoves a 74 g stone away from himself, giving it a speed of 2.3 m/s. What speed does the man acquire as a result?

so i have m1v1f + m2v2f = 0

since I am solving for v2f i get v2f = (.074*2.3)/75 = .002

but wileyplus says that wrong, did i make a mistake anywhere?

Add an extra zero at the end, so the answer would be .0020 and you got your self another significant digit and still maintaining the correct value. Woot!
 
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