EasyPhysics1Units and Measurements, Mathematical Tools
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In a particular system, the unit of length, mass and time are chosen to be 10 cm, 10 g and 0.1 sec respectively. The unit of force in this system will be equivalent to:
A
0.1 N
B
1 N
C
10 N
D
100 N
Explanation
Let n₂ = (M₁/M₂)^a (L₁/L₂)^b (T₁/T₂)^c. Since force [F] = [M][L][T]^-2, we have a = 1, b = 1, c = -2. Substituting the given units: n₂ = (kg/10 g)(m/10 cm)(s/0.1 s)^-2 = (10^3 g / 10 g)(10^2 cm / 10 cm)(1 s / 0.1 s)^-2 = 10. If the new unit of force is 10x = 1 N m, then x = 0.1 N.
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