A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a diameter of 1.024 mm. How much is the wire stretched (mm) when the mass is added? Young’s modulus for steel is \(2.00 \times 10^{11} \, \text{N/m}^2\).- ○ 19.9- ○ 7.44- ○ 0.651- ○ 6.35- ○ 13.8- ○ 0.273- ○ 3.18- ○ 5.35- ○ 4.28- ○ 1.59The problem involves calculating the extension of a steel wire subjected to a mass, using the principles of elasticity and Young's modulus.

Mass hanging from steel wire, Initial length of an steel wire,…

A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a diameter of 1.024 mm. How much is the wire stretched (mm) when the mass is added? Young's modules for steel is 2.00 × 10¹¹ N/m². 199

A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a diameter of 1.024 mm. How much is the wire stretched (mm) when the mass is added? Young's modules for steel is 2.00 × 10¹¹ N/m². 199

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Concept explainers

Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).

Question

A 35.0 kg mass hangs from a steel wire. The unloaded length of the wire is 3.05 m and it has a diameter of 1.024 mm. How much is the wire stretched (mm) when the mass is added? Young’s modulus for steel is \(2.00 \times 10^{11} \, \text{N/m}^2\).

- ○ 19.9
- ○ 7.44
- ○ 0.651
- ○ 6.35
- ○ 13.8
- ○ 0.273
- ○ 3.18
- ○ 5.35
- ○ 4.28
- ○ 1.59

The problem involves calculating the extension of a steel wire subjected to a mass, using the principles of elasticity and Young's modulus.

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