A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upperend of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, thespeed of the object is 4.50 m/s. At this point in the motion, what is the tension in the rope? (Use g = 9.80 m/s2.)

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Asked Sep 25, 2019
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A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upper
end of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, the
speed of the object is 4.50 m/s. At this point in the motion, what is the tension in the rope? (Use g = 9.80 m/s2.)
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A small object with mass 0.200 kg swings back and forth on the lower end of a light rope that is 3.00 m long. The upper end of the rope is attached to the ceiling. As the object swings through its lowest position, where the rope is vertical, the speed of the object is 4.50 m/s. At this point in the motion, what is the tension in the rope? (Use g = 9.80 m/s2.)

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Expert Answer

Step 1

Equation of motion is given by,

mv
T-mg=
L
T m
+g
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mv T-mg= L T m +g

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Step 2

Substituting the values,

...
T (0.200kg(4.50m/s)(9.8m/s2)
3.00m
3.31N
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T (0.200kg(4.50m/s)(9.8m/s2) 3.00m 3.31N

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