A wire is stretched just to its breaking point by a force F . A longer wire made of the same material has the same diameter. The force that will stretch the longer wire to its breaking point is much smaller than F?

No

Explanation:

The force F required is equal to the Force exerted in stretching the first material since conditions are the same

No.

Explanation:

Both wires are made up of the same material which means they will have the same young modulus.

Y = F/A × L/ΔL

From the equation above, the force applied per cross sectional (same diameter) are is the same for both materials and is constant.

So

L1/ΔL1 = L2/ΔL2

Or L2/L1 = ΔL2/ΔL1

So the force needed to bring about a stretching the the breaking point is the same. The only difference is in by how much the longer wire would have to stretch before reaching its breaking point.

trig 15.3 cos