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A boy is swinging a yo-yo with mass 0.5 kg in a circle with radius 0.7 m at a
speed of 7 m/s. what is the tension in the string connecting the yo-yo to the
boy's finger, disregarding the effect of gravity?

a. 35 n

b. 20 n

c. 9 n

d. 12 n


Sagot :

Lanuel

Based on the calculations, the tension in the string connecting the yo-yo to the boy's finger is equal to: A. 35 Newton.

Given the following data:

  • Mass, m = 0.5 kg.
  • Speed, v = 7 m/s.
  • Radius, r = 0.7 meters.

How to calculate the tension in this string?

Based on the information provided, we can logically deduce that the tension in the string connecting the yo-yo to the boy's finger is equal to the centripetal force acting on it.

Mathematically, centripetal force can be calculated by using this formula:

Fc = mv²/r

Fc = (0.5 × 7²)/0.7

Fc = 24.5/0.7

Fc = 35 Newton.

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