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A 150-lbm astronaut took his bathroom scale (a spring scale) and a beam scale (compares masses) to the moon where the local gravity is g = 5.48 ft/s^2. Determine how much he will weigh (a) on the spring scale and (b) on the beam scale.The acceleration of high-speed aircraft is sometimes expressed in g’s (in multiples of the standard acceleration of gravity). Determine the net upward force, in N, that a 90-kg man would experience in an aircraft whose acceleration is 6 g’s.

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Answer:

a)Wt =25.68 lbf

b)Wt = 150 lbf

F= 899.59 N

Explanation:

Given that

[tex]g = 5.48 ft/s^2.[/tex]

m= 150 lbm

a)

Weight on the spring scale(Wt) = m g

We know that

[tex]1\ lbf=32.17 \ lmb.ft/s^2[/tex]

Wt = 150 x 5.48/32 lbf

Wt =25.68 lbf

b)

On the beam scale

This is scale which does not affects by gravitational acceleration.So the wight on the beam scale will be 150 lbf.

Wt = 150 lbf

If the plane is moving upward with acceleration 6 g's then the for F

F = m a

We know that

[tex]1\ ft/s^2= 0.304\ m/s^2[/tex]

[tex]5.48\ ft/s^2= 1.66\ m/s^2[/tex]

a=6 g's

[tex]a=9.99\ m/s^2[/tex]

So

F = 90 x 9.99 N

F= 899.59 N

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