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Question

Terminal velocity of Mars rover depends upon
P = gas density of atmosphere of mars
A = frontal area
W = weight of falling object
What may be the possible relation between terminal velocity v and given quantity.

A
v=wpA
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B
v=wpA
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C
v=pAw
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D
v=pA3w
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Solution

The correct option is B v=wpA
v=pxAywz
(x, y, z unknown)
LT1=(ML3)x(L2)y(MLT2)z
MoL1T1=Mx+zL3x+2y+zT2z
Power of M x + z =0
Power of T -2z = -1
Power of L -3x + 2y + z =1

x=z=12
z=12 x=12
3x+2y+z=1
32+2y+12=12y=142=1
y=12

v=p12.A12.w12
v=wpA

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