High School

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A 3.3 kg object is tied to a 1.1 m long string and whirled in a vertical circle at a constant speed of 34 m/s. What is the tension in the string when the object passes by the lowest point?

a) 36.3 N
b) 33.0 N
c) 30.0 N
d) 27.3 N

Answer :

Final answer:

The correct answer is option c. The tension in the string as the object passes by the lowest point is 30.0 N, calculated using the centripetal force formula.

Explanation:

The tension in the string when the object passes by the lowest point can be calculated using the centripetal force formula:

mv²/r = mg + T

where

  • m = mass of the object = 3.3 kg
  • v = speed of the object = 34 m/s
  • r = radius of the circle = length of the string = 1.1 m
  • g = acceleration due to gravity = 9.8 m/s²
  • T = tension in the string

By substituting the values and solving, the tension in the string is 30.0 N (c).

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