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The resistive force Fthat acts on an object moving through a fluid at speed vis given by F=kv where kis a constant.What is the unit of k? A. Ns^-1 B Nms^-1 c kgm^2s^-3 D. kgs^-1

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The resistive force Fthat acts on an object moving through a fluid at
speed vis given by F=kv where kis a constant.What is the unit of k?
A. Ns^-1
B Nms^-1
c kgm^2s^-3
D. kgs^-1

The resistive force Fthat acts on an object moving through a fluid at speed vis given by F=kv where kis a constant.What is the unit of k? A. Ns^-1 B Nms^-1 c kgm^2s^-3 D. kgs^-1

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IvanMaster · Tutor for 5 years

Answer

A. \( Ns^{-1} \)

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The resistive force \( F \) is given by \( F = kv \). Here, \( F \) has units of Newtons (N) and \( v \) has units of meters per second (m/s). To find the unit of \( k \), we rearrange the equation to \( k = \frac{F}{v} \). Thus, the unit of \( k \) is Newtons per meter per second (Ns/m).
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