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Mathematics 17 Online
OpenStudy (anonymous):

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

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?

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

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

OpenStudy (anonymous):

It does, \[Y:~~~ Tcos(30)=0.15 \\ ~~~~~~~~~~~~~~~~~~~~T=\frac{0.15}{\cos(30)}\] \[X:~~~F=Tsin(30) \\ ~~~~~~~~~F=\frac{0.15}{\cos(30)}\sin(30)=0.15\tan(30)=0.087\text{N}\]

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