Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A steel wire across breaks at a stress of . Find the largest load it can carry, as a force and as a mass. What mass is safe if the stress must never pass a fifth of the breaking stress? (.)
Young's modulus: . A wire stretches and acts as a spring with . A wire breaks when its stress reaches the breaking stress, whatever its length.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Area. .
Step 2. Breaking load. , the weight of .
Step 3. Safe load. A fifth: , or .
Answer: (); safe up to .
Watch out. The length of the wire does not change its breaking load.
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