5 The diagram shows an experiment to measure the force exerted on a ball by a horizontal air flow.
The ball is suspended by a light string and weighs 0.15N.
The deflection of the string from vertical is 30°.
What is the force on the ball from the air flow?
A 0.075N B 0.087N C 0.26N D 0.30N
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OpenStudy (anonymous):
OpenStudy (rane):
A. 0.075
OpenStudy (rane):
F=0.15sin 30
OpenStudy (anonymous):
The answer is B
OpenStudy (rane):
how did u get b?
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OpenStudy (anonymous):
I don't know how to get it, but that is what the marking scheme says
OpenStudy (rane):
i think u have to round off
OpenStudy (anonymous):
Hmmm
OpenStudy (rane):
do u know how i get this or not?
OpenStudy (anonymous):
Yeah i do, but it's a wrong answer
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OpenStudy (rane):
no.. the answer is right
u just have to round off 0.075 to 0.08
OpenStudy (anonymous):
|dw:1370776241924:dw|
Find T from vertical then find F from horizontal
OpenStudy (anonymous):
Wow! Thanks alot!
OpenStudy (rane):
bt that doen't give 0.08N
OpenStudy (rane):
@jack.sparrow
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OpenStudy (anonymous):
It does,
\[Y:~~~ Tcos(30)=0.15 \\ ~~~~~~~~~~~~~~~~~~~~T=\frac{0.15}{\cos(30)}\]
\[X:~~~F=Tsin(30) \\ ~~~~~~~~~F=\frac{0.15}{\cos(30)}\sin(30)=0.15\tan(30)=0.087\text{N}\]