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AS Physics - Young Modulus

Would appreciate any help on these two questions if anyone can spare a minute

1). Two wires, one of steel and one of phosphor bronze, each 1.5m long and of diameter 0.20cm are joined end to end to form a composite wire of length 3.0m. What tension in this wire will produce a total extension of 0.064cm? (the Young modulus for steel = 2.0 x 10^11 Pa and for phosphor bronze = 1.2 x 10^11 Pa.

2). A vertical steel wire 350cm long, diameter 0.100cm has a load of 8.50kg applied at it's lower end. Find the energy stored in the wire (Take the Young modulus for steel as 2.00 x 10^11 Pa and g= 9.81 m s ^-2

Thanks very much :biggrin:
Reply 1
Can anyone just point me in the right direction?
James.R
Would appreciate any help on these two questions if anyone can spare a minute

1). Two wires, one of steel and one of phosphor bronze, each 1.5m long and of diameter 0.20cm are joined end to end to form a composite wire of length 3.0m. What tension in this wire will produce a total extension of 0.064cm? (the Young modulus for steel = 2.0 x 10^11 Pa and for phosphor bronze = 1.2 x 10^11 Pa.

2). A vertical steel wire 350cm long, diameter 0.100cm has a load of 8.50kg applied at it's lower end. Find the energy stored in the wire (Take the Young modulus for steel as 2.00 x 10^11 Pa and g= 9.81 m s ^-2

Thanks very much :biggrin:

1. Use this:

And I think you can average the young's moduli for the 2 wires as the CSA and lengths are the same. This would mean rearranging the equation and using a youngs modulus of 1.6e11 Pa.

2. Equation is:


For further explanation just ask or look here for an explanation of the letters.
Reply 3
strain energy = (Fx)/2