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Question: If the unit of force is 1 kilo-newton, the length is 1 km and time is 100 second, what will be the u...

If the unit of force is 1 kilo-newton, the length is 1 km and time is 100 second, what will be the unit of mass ?

A

1 kg

B

100 kg

C

1000 kg

D

10000 kg

Answer

10000 kg

Explanation

Solution

F = M1L1T–2M = FLT2\frac{F}{LT^{- 2}} = FT2L\frac{FT^{2}}{L}

M =[103N][100s]2[103m]\frac{\lbrack 10^{3}N\rbrack\lbrack 100s\rbrack^{2}}{\lbrack 10^{3}m\rbrack} = 104 N.s2m\frac{N.s^{2}}{m} = 104 kg