Deduce the diamension of work

Unit of work done is Joule. Therefore, the dimension formula of work is represented as [M1 L2 T-2].Explanation:

Explanation:Quantity  

Dimension

Unit  

SI Symbol

Formula

Base units:    

length  

[L]

meter  

m

mass  

[M]

kilogram  

kg

temperature  

[Q]

kelvin  

K

time  

[T]

second  

s

Derived units:    

area  

[L2]

square meter  

m2

volume  

[L3]

cubic meter  

m3

velocity  

[L T-1]

meter per second  

m s-1

acceleration  

[L T-2]

meter per second squared  

m s-2

density  

[M L-3]

kilogram per cubic meter  

kg m-3

force  

[M L T-2]

newton  

N

kg m s-2

pressure  

[M L-1 T-2]

pascal  

Pa

N m-2

stress  

[M L-1 T-2]

pascal  

Pa

N m-2

energy  

[M L2 T-2]

joule  

J

N·m

quantity of heat  

[M L2 T-2]

joule  

J

N·m

work  

[M L2 T-2]

joule  

J

N·m

power  

[M L2 T-3]

watt  

W

J s-1

viscosity, dynamic  

[M L-1 T-1]

pascal-second  

Pa·s

viscosity, kinematic  

[L2 T-1]

square meter per second  

m2 s-1

specific heat  

[L2 Q-1 T-2]

joule per kilogram-kelvin  

J kg-1 K-

your answer is yx

hope this

~mia

the independent variable, or the one that is intentionally manipulated is the speed.