Two elastic bodies P and Q having equal masses are moving along the same line with velocity of 16m/sec and 10 m/sec respectively .their velocities after the elastic collision will be in meter per second
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perfectly elastic” means that they will move apart as quickly as they approach - here at 5m/s. At the same time, momentum has to be conserved.
As 10kg is rather bigger than 1g, then the large mass will slow down minimally. So the 1g will have to move at almost 10m/s (so that they separate at 5m/s).
(Interestingly, to get a numerical answer for small change questions like this one, it is much quicker to use error theory. As the ratio 1g:10kg is 1:10,000, then the large mass will slow by just 1 part in 10,000, or 0.0005m/s. So the new speed of the large mass is 4.9995m/s.)
As 10kg is rather bigger than 1g, then the large mass will slow down minimally. So the 1g will have to move at almost 10m/s (so that they separate at 5m/s).
(Interestingly, to get a numerical answer for small change questions like this one, it is much quicker to use error theory. As the ratio 1g:10kg is 1:10,000, then the large mass will slow by just 1 part in 10,000, or 0.0005m/s. So the new speed of the large mass is 4.9995m/s.)
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