GCSE Questions: Hooke's Law

Q1. Katrina carried out an investigation to determine the spring constant of a spring.

Here is her results table:

Force /N
Extension/cm
0.0
0.0
2.0
3.5
4.0
8.0
6.0
12.5
8.0
16.0
10.0
20.0

 

Describe a method she could have used to obtain this data.

Your answer should include any cause of inaccuracy in the data.

Your answer may include a labelled diagram.

[6 marks]

(b) Katrina measured the extension for five different forces rather than just measuring the extension for one force. Suggest why.

[1 mark]

(c) This graph has some of the data obtained by Katrina already plotted.

Complete the graph by plotting the missing data and draw in the line of best fit.

[2 marks]

(d) Write down the equation that links extension, force and spring constant.

[1 mark]

(e) Calculate the spring constant of the spring that Katrina used.

Give your answer in newtons per metre.

[4 marks]

(f) Hooke's Law states that:

'The extension of an elastic object is directly proportional to the force applied, provided the limit of proportionality is not exceeded.'

Katrina concluded that over the range of force used, the spring obeyed Hooke's Law.

Explain how the data supports her conclusion.

[2 marks]

[16 Marks TOTAL]