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Answer:
T = 764.41 N
Explanation:
In this case the tension of the string is determined by the centripetal force. The formula to calculate the centripetal force is given by:
(1)
m: mass object = 2.3 kg
r: radius of the circular orbit = 0.034 m
v: tangential speed of the object
However, it is necessary to calculate the velocity v first. To find v you use the formula for the kinetic energy:
You have the value of the kinetic energy (13.0 J), then, you replace the values of K and m, and solve for v^2:
you replace this value of v in the equation (1). Also, you replace the values of r and m:
hence, the tension in the string must be T = Fc = 764.41 N