If the unit of force is 100 N, unit of length is 10 m and unit of time

1.	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?
Answer» Given: Dimension of Force, F = [MLT^-2] = 100 N ....(1) Time, T = 100 s ..... (2) Length, L = 10 m ......(3) Substituting eqⁿ (2) & eqⁿ (3) in eqⁿ (1) M × 10 × (100)^-2 = 100 M = 100 × 1000 M = 10⁵ kg

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?

Answer»

Given:

Dimension of Force, F = [MLT^-2]

= 100 N ....(1)

Time, T = 100 s ..... (2)

Length, L = 10 m ......(3)

Substituting eqⁿ (2) & eqⁿ (3) in eqⁿ (1)

M × 10 × (100)^-2 = 100

M = 100 × 1000

M = 10⁵ kg