Question 231661: Superman slams head-on into a locomotive speeding along at 62 km/h, bringing it smoothly to rest in an amazing 1/1000 s and saving Lois Lane, who was a mere 11 cm down the tracks from the point where Superman struck the train. How far away from her did the "Man of Steel" finally stop the engine? (Thank goodness he arrived in time!)
I'm lost...please help! THANKS.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Superman slams head-on into a locomotive speeding along at 62 km/h, bringing it smoothly to rest in an amazing 1/1000 s and saving Lois Lane, who was a mere 11 cm down the tracks from the point where Superman struck the train. How far away from her did the "Man of Steel" finally stop the engine?
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The train went from 62 to zero in 1/1000 of a second, so its average speed for that millisecond was 31 km/hr = 31000 m/hr = 3100000cm/hr
1 hour = 3600 seconds
3100000 cm/hr = 3100000/3600 cm/sec
d = rt = (3100000/3600)*0.001 cm
d = 31/36 cm traveled after impact
11 - 31/36 = 10 5/36 cm from Lois
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The acceleration from (62000/3600) m/sec to zero in 1 millisecond is
~ 1757 g's. Doesn't sound "smooth" to me.
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