Moments: (May - June 2003 Paper 1 Question No. 07)



               A drivers foot presses with a steady force of 20 N on a pedal in a car as shown.





What is the force F pulling on the piston?

A      2.5 N             
B     10 N             
C      100 N             
D      160 N

Correct Answer:  D (160 N)

Explanation:
Force applied by the driver’s foot, F1 = 20 N
Distance from the foot to the pivot, d1 = 40 cm
Force applied on the piston, F = ?
Distance from the pivot to the piston, d = 5 cm
From the principle of moments,
F x d = F1 X d1
F x 5 cm = 20 N x 40 cm
F = (20 N x 40 cm) / 5 cm
F = 800 / 5 N = 160 N

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