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A load of 50 N is suspended from a wire that has an area of cross-section of 1 mm² - AQA - A-Level Physics - Question 19 - 2019 - Paper 1

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A load of 50 N is suspended from a wire that has an area of cross-section of 1 mm². The stress in the wire, in Pa, is between

Worked Solution & Example Answer:A load of 50 N is suspended from a wire that has an area of cross-section of 1 mm² - AQA - A-Level Physics - Question 19 - 2019 - Paper 1

Step 1

Calculate Stress in the Wire

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Answer

Stress is defined as the force per unit area. The formula for stress ( \sigma) is given by:

σ=FA\sigma = \frac{F}{A}

Where:

  • (F) = force in newtons (N)
  • (A) = area in square meters (m²)

Given:

  • Load, (F = 50 , \text{N})
  • Area, (A = 1 , \text{mm}^2 = 1 \times 10^{-6} , \text{m}^2)

By substituting the values into the formula, we can calculate the stress:

σ=50N1×106m2=50×106Pa=5×107Pa\sigma = \frac{50 \, \text{N}}{1 \times 10^{-6} \, \text{m}^2} = 50 \times 10^{6} \, \text{Pa} = 5 \times 10^{7} \, \text{Pa}

Step 2

Determine Range for Stress

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Answer

The calculated stress of (5 \times 10^{7} , \text{Pa}) falls between (10^{7}) and (10^{8}) Pa.

Referring to the options provided:

  • A: (10^0) and (10^3)
  • B: (10^3) and (10^6)
  • C: (10^6) and (10^9)
  • D: (10^{10}) and (10^{12})

The correct answer is C: (10^6) and (10^9).

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