In a system of units, the unit of force is 100 N, unit of length is 10 m and the unit of time is 100 s. what is the unit of mass in this system?
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Dimension formula of force is: [F] = [ML/T²]
Hence: M = [FT² /L]
GIVEN unit of force (F) = 100 N
Unit of length [L] = 10 m
Unit of time [T] = 100 sec
Putting all these values to M
M = 100*(100)²/10 = 100000 kg
Hence unit of mass will be 10^5 kg
Hence: M = [FT² /L]
GIVEN unit of force (F) = 100 N
Unit of length [L] = 10 m
Unit of time [T] = 100 sec
Putting all these values to M
M = 100*(100)²/10 = 100000 kg
Hence unit of mass will be 10^5 kg
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Hii dear,
# Answer- 10^5 kg.
# Explaination-
First, we'll write dimensional formula for force,
[F] = [MLT^-2]
Putting values ,
[F] = 100 N
[M] = x kg
[L] = 10 m
[T] = 100 s
100 = x×10×(100)^-2
x = 10^5
Hence unit of mass in new system of units is [M] = 10^5 kg.
Hope this is useful...
# Answer- 10^5 kg.
# Explaination-
First, we'll write dimensional formula for force,
[F] = [MLT^-2]
Putting values ,
[F] = 100 N
[M] = x kg
[L] = 10 m
[T] = 100 s
100 = x×10×(100)^-2
x = 10^5
Hence unit of mass in new system of units is [M] = 10^5 kg.
Hope this is useful...
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