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0.1kg mass is spun on a 1.2m string in a horizontal circle. Tension is 3N. What speed is mass spinning?

0.1kg

3N

0.1kg

F

g

T

F

net

= -

g

T

T

T

x

y

T = mg

y

= 0.1(9.8) = 0.98

T

x

= T - T

y

2

2

= 2.83

F

T

gy

F

= mg = 0.98

gx

F

= 0

*no X component

F

net

= 2.83

2.83 = ma

2.83 = (0.1)

v

2

r

( )

θ

θ = arcsin(T /T) = 19.1

y

19.1

1.2m

r

r = 1.2cos(19.1) = 1.1339

v = (2.83/0.1) * 1.1339

v = 5.66475 m/s