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Question: If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of...

If the unit of force is 100 N, unit of length is 10 m and unit of time is 100 s, what is the unit of mass in this system of units?

A

103 kg

B

104 kg

C

105 kg

D

106 kg

Answer

105 kg

Explanation

Solution

Here, F = 100 N,L = 10 m, T = 100s100s

Dimensional formula of force is [MLT2].\lbrack MLT^{- 2}\rbrack.

M=FLT2=100N(10m)(100s)2=105kg\therefore M = \frac{F}{LT^{- 2}} = \frac{100N}{(10m)(100s)^{- 2}} = 10^{5}kg