An object of mass 10kg is hung by a 5m rope attached to the ceiling. The object is pulled 2m horizontally. Find the magnitude of the horizontal force and the tension on the rope

Question

anonymous · Answer

At her job, Mary works 4 hours on Monday, 3 hours on Wednesday, and 6 hours on Saturday. Her boss adds a $10 bonus to her paycheck, which then totals $120.50. What is Mary's hourly pay?
A.
$8.50
B.
$9.27
C.
$5.24
D.
$8.05

anonymous · Answer

You need to draw a picture.
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anonymous · Answer

We use this fact:$$
5 \sin(\theta) = 2
$$To find the angle.

anonymous · Answer

why?

anonymous · Answer

You need the angle to find out the horizontal force....

anonymous · Answer

oh ok

anonymous · Answer

and to find the magnitude of tenstion on the rope, I have to find?

anonymous · Answer

the hypothenuse?

anonymous · Answer

Well consider if no one where pulling on it... what would happen...

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anonymous · Answer

We know it will swing toward the center...
Using the angle we can split up the force into its components.

anonymous · Answer

ok

anonymous · Answer

cant I use the sine law to find the tenstion once I get the angle?

anonymous · Answer

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There are actually only two forces at work here