Aspring scale hung from the ceiling stretches by 6.4 cm when a 2.0 kg mass is hung from it. the 2.0 kg mass is removed and replaced with a 2.5 kg mass.

In the first case, the force acting on the spring is the weight of the mass:

This force causes a stretching of  on the spring, so we can use these data to find the spring constant:


In the second case, the first mass is replaced with a second mass, whose weight is

And since we know the spring constant, we can calculate the new elongation of the spring:

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