A force stretches a wire by 4.0 mm. A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force?

A firefighter weighs 730 N. She wears shoes that each cover an area of 309cm2. (a) What is the average stress she applies to the ground on which she is standing? (b) How does the stress change if she stands on only one foot? Show working equations for both (a) and (b). Answer must be in kPa.

An aluminum wire of length 4.3 m and diameter 2.5 mm is connected to a steel wire of length 3.1 m and diameter 1.3 mm. Calculate the change in length (in mm) of this composite, if an object of mass 4 kg is hung from one end. The Young's modulus for aluminum is 7 ×× 1010 N m-2, and the Young's modulus for steel is 20 ×× 1010 N m-2.

By how much does a 65.0-kg mountain climber stretch her 0.800-cm diameter nylon rope when she hangs 35.0 m below a rock outcropping? (For nylon, Y = 1.35 × 109 Pa.)

A hollow cortical bone has a maximum compressive stress of 185 MPa. This bone has an area of 6.4 cm². What is the maximum force this bone can withstand in compression, in Newtons?

Assume a human leg contains a 50cm long bone with an average cross section of 3cm. By how much (in micrometres) does the bone shorten when the entire body weight of the person is supported by that one leg. The body weight is 700N and the Young's modulus for bone is 1.8 x 1010 Pa Answer:

Many caterpillars construct cocoons from silk, one of the strongest naturally occurring materials known. Each thread is typically 2.0 µm in diameter, and the silk has a Young's modulus of 4.0 x 10° N/m2. Assuming that there is no appreciable space between the parallel strands, how many strands N would be needed to N = strands make a rope 8.6 m long that would stretch only 1.02 cm when supporting a pair of 85-kg mountain climbers? Again assuming that there is no appreciable space between the parallel strands, what would be the diameter d of the rope? d = cm

A steel cable of diameter 2 cm is acted upon by 50000 N of tension. If Young’s modulus is 20 x 1010 N/m2 and its unstressed length was 5 m, what is its length while stressed?   A 4 mm   B 5 m   C 5 m 1 mm   D 5 m 4 mm

When a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If the same tension is applied to a similar piano wire of length 3.6 m, by how much will it stretch?

A 5.0 x 102 N object is hung from the end of a wire of cross-sectional area 1x106 cm?. The wire stretches from its original length of 200.00 cm to 200.50 cm. What is the stress on the wire? A 5.0 x 10^8 N/m2 (B) 1.0 x 10^8 N/m2 (c) 5.0 x 102 N/m² D 1.0 x 10^6 N/m2