1.

If Force (f), Velocity (v) And Acceleration (a) Are Taken As The Fundamental Units Instead Of Mass, Length And Time, Express Pressure And Impulse In Terms Of F, V And A?

Answer»

We know that Force = MASS ✕ acceleration

⇒ mass = FA-1

and length = VELOCITY ✕ time = velocity ✕ velocity ÷ acceleration = V2A-1

and time = VA-1

∵ Pressure = Force ÷ Area = F ÷ (V2A-1)2 = FV-4A2

IMPULSE = Force ✕ time = FVA-1 

We know that Force = mass ✕ acceleration

⇒ mass = FA-1

and length = velocity ✕ time = velocity ✕ velocity ÷ acceleration = V2A-1

and time = VA-1

∵ Pressure = Force ÷ Area = F ÷ (V2A-1)2 = FV-4A2

Impulse = Force ✕ time = FVA-1 



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