Answer :
Final answer:
The highest tangential speed the plane can move without breaking the string is approximately 9.97 m/s.
Explanation:
To determine the highest tangential speed the plane can move without breaking the string, we need to consider the tension in the string. The tension in the string is equal to the centripetal force acting on the plane. In this case, the maximum tension the string can provide is 141 N.
We can use the formula for centripetal force: F = (m * v^2) / r, where F is the force, m is the mass of the object, v is the tangential speed, and r is the radius. Rearranging the formula, we can find the highest tangential speed the plane can move without breaking the string: v = sqrt((F * r) / m).
Substituting the given values into the formula, we have: v = sqrt((141 N * 7.3 m) / 9.8 kg) = 9.97 m/s.
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