Which one of the following equations is dimensionally

homogeneous? Show your proof.

a. F = ma

b. F = m (V2/R)

c. F (t2 - t1) = m (V2 - V1)

d. F = mV

e. F = m (V2 - V1) / (t2 - t1)

where

F = force (N)

m = mass (kg)

a = acceleration (m/s2)

V = velocity (m/s)

R = radius (m)

t = time (s)

Question

24 August, 10:49

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Answers (1)

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Brett Haas · Answer 1

[F] = [M]*[L]/[T]/[T]

F unit of force

M unit of mass

L unit of length

T unit of time

Which one of the following equations is dimensionallyhomogeneous? Show your proof.a. F = mab. F = m (V2/R)c. F (t2 - t1) = m (V2 - V1)d. F = mVe. F = m (V2 - V1) / (t2 - t1)whereF = force (N)m = mass (kg)a = acceleration (m/s2)V = velocity (m/s)R = radius (m)t = time (s)