Hi, i am kind of at a loss here. I cant seem to figure out this problem, not sure if i am doing it right or not. All help is greatly appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

A ball of mass 4kg is suspended on a light spring with a constant of 850n/m. the ball is spun in a circular orbit at a constant speed so the string makes an angle of 22 degrees from the vertical. find the length of the spring and the speed of the ball.

Here is what i believe the diagram would look like.

http://img212.imageshack.us/my.php?image=22me2.png

alright so here is what i did right/wrong.

fg=mg

= 4(9.8)

fg =39.2N

fg=fspring

mg=kxcos22

39.2=850xcos22

x=aprox 5cm

the length of the spring is 5cm . That sounds pretty wrong...hope in right :D

ok onto the speed.

fc=(mv^2)/r

T=39.2/cos22=42.3

tsin22=fc

42.3sin22=(m(v^2))/r

42.3sin22=(4(v^2))/5sin22

v=2.7m/s

speed = 2.7m/s

so did i do anything wrong..?

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# Spring, length and speed

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