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Stretching Materials (Edexcel A Level Physics)

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1
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A horizontal force F is applied to a horizontal spring, fixed at one end.
The stiffness of the spring is k and the elastic strain energy stored is E.
A second, identical spring is added and the same force is applied to the combination of springs, as shown.

q3-nov-2021-9ph0-02-edexcel-as-a-level-phy

What is the elastic strain energy stored for the combination of springs?

  • E over 2

  • E

  • 2 E

  • 8 E

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2
Sme Calculator1 mark

A horizontal force F is applied to a horizontal spring, fixed at one end.
The stiffness of the spring is k and the elastic strain energy stored is E.
A second, identical spring is added and the same force is applied to the combination of springs, as shown.

q3-nov-2021-9ph0-02-edexcel-as-a-level-phy

What is the stiffness of the combination of springs?

  • k over 2

  • k

  • 2 k

  • 4 k

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1
Sme Calculator1 mark

When a force F is applied to a spring with stiffness k, the elastic potential energy stored is E.

What is the elastic potential energy stored when a force 2F is applied to a spring with stiffness 2k?

  • begin mathsize 16px style E over 2 end style

  • E

  • 2 E

  • 8 E

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2
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A mass of 24 kg is suspended from a steel wire of length 1.5 m. The wire has cross-sectional area 3.1 × 10−6 m2.

The Young modulus of steel is 1.8 × 1011 Pa.

Which of the following gives the extension of the wire?

  • fraction numerator 24 space cross times space 1.5 over denominator 1.8 space cross times space 10 to the power of 11 cross times 3.1 cross times 10 to the power of negative 6 end exponent end fraction

  • fraction numerator 24 cross times 9.81 cross times 1.5 over denominator 1.8 cross times 10 to the power of 11 cross times 3.1 cross times 10 to the power of negative 6 end exponent end fraction

  • fraction numerator 1.8 cross times 10 to the power of 11 cross times 3.1 cross times 10 to the power of negative 6 end exponent over denominator 24 cross times 1.5 end fraction

  • fraction numerator 1.8 cross times 10 to the power of 11 cross times 3.1 cross times 10 to the power of negative 6 end exponent over denominator 24 cross times 9.81 cross times 1.5 end fraction

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3
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A mass is supported by a single spring as shown. 

q2-june-2019-9ph0-02-edexcel-as-a-level-phy

The strain energy stored by the spring is E.
The mass is then supported by two springs, each identical to the first spring, as shown. 

q2-1-june-2019-9ph0-02-edexcel-as-a-level-phy

What is the total strain energy stored with two springs arranged in this way?  

  • 1/4 E

  • 1/2 E

  • E

  • 2E

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4
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A deforming force is applied to a sample of material.

Which row of the table shows the axes of a graph for which the gradient is stiffness k?

  y-axis x-axis
A extension force
B force length
C stress strain
D strain length

 

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