Question

What hanging mass will stretch a 2.4-m-long, 0.49 mm - diameter steel wire by 1.5 mm ? The Young's modulus of steel is 20×10^10N/m^2

Express your answer in kilograms.

Answer #1

**Solution**

**Answer: 2.405kg**

****

A student is testing a 1.0 m length of 2.0-mm-diameter steel
wire.
Part A How much force is required to stretch this wire by 1.0
mm? Young's modulus for steel is 20×1010N/m2. Express your answer
to two significant figures and include the appropriate units.
F=
Part B What length of 4.0-mm-diameter wire would be stretched by
1.0 mm by this force? Express your answer to two significant
figures and include the appropriate units.
L2 =

Please show work
Find the minimum diameter of an l = 19.4 m long copper wire that
will stretch no more than 9.98 mm when a mass of 300 kg is hung on
the lower end. (Hint: The Young's modulus of copper is 110.0
GPa.)

A metal wire 1.0 m long and of 2.0 mm diameter is stretched by a
load of 40.0 kg. the extension produced on the wire is 1.5mm.
What is the stress?
What is the strain?
Young's modulus of elasticity?
The energy stored in the Wire.
The Force constant

2. Suppose a piano tuner stretches a steel piano wire 6.5
mm.
The wire was originally 0.825 mm in diameter, 1.43 m long, and has
a Young's modulus of 2.10x1011 N/m2.
Calculate the force a piano tuner applies to stretch the steel
piano wire in Newtons.
F=__________
3. Suppose a 66-kg mountain climber has a 0.86 cm diameter nylon
rope.
By how much does the mountain climber stretch her rope, in
centimeters, when she hangs 43 m below a rock...

A 5.8 kg ball hangs from a steel wire 1.80 mm in diameter and
5.00 m long.
What would be the speed of a wave in the steel wire?
Express your answer using two significant figures.
v=____________m/s

Orb spiders make silk with a typical diameter of 0.15 mm. The
Young's modulus of spider silk is 0.2×10^10N/m2 and its tensile
strength is 1000×10^6N/m2.
A typical large orb spider has a mass of 0.50 g. If this spider
suspends itself from a single 12-cm-long strand of silk, by a) how
much will the silk stretch?, and, b) what is the maximum weight
that a single thread of this silk could support?
Express your answer using two significant figures.

A wire of diameter 1.0 mm and length 3.5 m stretches 3.5 mm when
8.0 kg is hung from it.
a) What is the Young's modulus for the wire?
b) What is the effective spring constant for the stretching
wire?

A steel ball (density = 7860kg/m3) with a diameter of 7.3 cm is
tied to an aluminum wire 80 cm long and 2.8 mm in diameter. The
ball is whirled about in a vertical circle with a tangential speed
of 8.0 m/s at the top of the circle and 9.4 m/s at the bottom of
the circle. (Young Modulus of the wire is 6.9*10^10 N/m^2)
Part A) Find the amount of stretch in the wire at the top of the...

A steel wire is used to lift heavy object. The cable has a
diameter of 10.25 mm and an initial length of 29.5 m. If the cable
stretches 2.50 mm, what is the mass of the heavy object? Use 20.0 x
1010 Pa for Young’s modulus for steel. Give your answer
in kg and with 3 significant figures.

A 5.8 kg ball hangs from a steel wire 1.90 mm in diameter and
7.00 m long.
What would be the speed of a wave in the steel wire?
v=__ m/s

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