A spring stretches 4.0cm when a load of 20N suspended. How much will the spring stretch...

A spring stretches 4.0cm when a load of 20N suspended. How much will the spring stretch if 50.0N load is suspended from it and it does not reach it's elastic limit?

2. You purchase a 500g sample of gold and want to know if it is pure to see if you were cheated. You found the sample when lowered into water displaced 27.5 ml. Was the sample pure gold?

Solutions

Expert Solution

Question A)

Let the spring will stretch x.

Let the spring constant is k.

We know the magnitude of the force

Now for the 50.0 N force

The spring will stretch 10 cm.

Question B)

We know the density of pure gold is 19.32 g/cm³.

By the given condition and Archimedes principle where the gold displaced 27.5 ml of water the volume of the gold V=27.5 ml or 27.5 cm³.

Given that the mass of the gold is m=500 g.

The density of the gold is

The density of the purchased gold is lower than pure gold. So the sample of gold was not pure.

genius_generous answered 1 week ago

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