(a) The coefficient of friction, µ, can be determined in an experiment by measuring the force F required to move a mass m. Where F is measured and m is known, the coefficient of friction can be calculated by:
µ = F/(mg) where g=9.81 m/s^{2}
Results from measuring F in six tests are given in the Table 1. Determine the coefficient of friction in each test, and the average from all tests.
Table 1
Test #

1

2

3

4

5

6

Mass m (kg)

2

4

5

10

20

50

Force F (N)

12.5

23.5

30

61

117

294

[6 marks]
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