Figure 4 shows a 10 N weight hanging from a spring. One of the forces acting to stretch the spring is shown in Figure 4. Complete Figure 4 by adding an arrow to show the other force acting to stretch the spring. (a) (b) A weight of 4.0 N is used to extend a spring. The extension of the spring is 0.06 m. (i) Calculate the spring constant, k, of the spring. Use the equation F = k × x (ii) State what measurements should be made to determine the extension of the spring produced by the 4.0 N weight. (c) Another spring has a spring constant of 250 N/m. Calculate the work done in stretching the spring by 0.30 m. State the unit. Use the equation E = \frac{1}{2} k x^2

GCSE Edexcel Physics: Combined Science Current: Figure 4 shows a 10 N weight han

Figure 4 shows a 10 N weight hanging from a spring - Edexcel - GCSE Physics: Combined Science - Question 3 - 2019 - Paper 1

Question 3

Figure 4 shows a 10 N weight hanging from a spring. One of the forces acting to stretch the spring is shown in Figure 4. Complete Figure 4 by adding an arrow to sho... show full transcript

Worked Solution & Example Answer:Figure 4 shows a 10 N weight hanging from a spring - Edexcel - GCSE Physics: Combined Science - Question 3 - 2019 - Paper 1

Step 1

Complete Figure 4

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Answer

Draw a downward arrow to represent the force of the weight pulling down on the spring. The arrow should be of the same length as the top arrow that denotes the 10 N weight, and it should be placed anywhere below the support.

Step 2

Calculate the spring constant, k, of the spring.

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Answer

To calculate the spring constant, rearrange the formula:

$F = k imes x$

Substituting the values:

$4.0 = k imes 0.06$

Rearranging gives:

$k = \frac{F}{x} = \frac{4.0}{0.06}$

Upon calculation:

$k = 67 \text{ N/m}$ .

Step 3

State what measurements should be made to determine the extension of the spring produced by the 4.0 N weight.

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Answer

Measure the original length of the spring before the weight is added, and then measure the final length of the spring once the 4.0 N weight is hung from it. The extension can then be calculated as the difference between the final and original lengths.

Step 4

Calculate the work done in stretching the spring by 0.30 m.

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Answer

Use the work done equation:

$E = \frac{1}{2} k x^2$

Substituting the values:

$E = \frac{1}{2} \times 250 \times (0.30)^2$

Calculating gives:

$E = 11 \text{ Joules}$ .

Figure 4 shows a 10 N weight hanging from a spring - Edexcel - GCSE Physics: Combined Science - Question 3 - 2019 - Paper 1

Worked Solution & Example Answer:Figure 4 shows a 10 N weight hanging from a spring - Edexcel - GCSE Physics: Combined Science - Question 3 - 2019 - Paper 1

Complete Figure 4

Calculate the spring constant, k, of the spring.

State what measurements should be made to determine the extension of the spring produced by the 4.0 N weight.

Calculate the work done in stretching the spring by 0.30 m.

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