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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? |
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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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