FBD KD Tension ma Weight A 0.30 kg ball is attached to a 0.9 m string of negligi
ID: 1882163 • Letter: F
Question
FBD KD Tension ma Weight A 0.30 kg ball is attached to a 0.9 m string of negligible mass and swung in a 0.5 m radius horizontal circle. A FBD and KD are shown. These problems do not have to be written out for your portfolio. art Description Answer Chk History Determine the vertical component of the tension force. (include units with answer) 6.3 pts.90%| # tries : 5[Show Details 2% try penalty HintsO Determine the horizontal component of the tension force. (include units with answer) 7 pts·100% | # tries: O[Show Details 2% ty pensity Hints: 1.1 8pts100% Determine the speed of the ball. (include units with answer) # tries : OLShov. Details! Format Check 296 ry penalty HintsExplanation / Answer
sintheta = r/L = 0.5/0.9 = 0.556
theta = 33.75
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along vertcial
F_net = 0
Tv - W = 0
Tv = W = 0.3*9.8 = 2.94 N
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Tv = T*costheta = 2.94
T = 2.94/cos33.75 =3.54 N
Th = T*sintheta = 3.54*sin33.75 = 1.97 N
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along horizontal
Tx = ma
acceleration a = v^2/r
Tx = m*v^2/r
v = sqrt(Tx*r/m)
v = sqrt(1.97*0.5/0.3)
speed , v = 1.812 m/s
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