Question

in a practical system of units if the unit of time becomes half and unit of length becomes double then 8 joule will be equal to ______unit of work

Answer 1

8joules of work done can be expressed,as
work= 8 joules = 8kg m²/ s²
where normal units mass = kg
length= m
Time = second=s
let the new units be KG,M and S
According to question ,new mass is double that of initial value.
KG = 2kg
M= no change mentioned = so assume same = m
S= s/2
work =8 kg m/ s
=8 (KG/2)*M²/(2S)²
=8/8(KGM²/S²)
=1 Joule of work. Hope this helps!