A 5.00 kg mass hangs stationary from a rope of negligible mass. What is the tension in the rope?
A5.00 N
B49.0 N
C24.5 N
D98.0 N
Answer & Solution
Correct answer: B. 49.0 N
1. The mass is stationary, so its acceleration is zero and the net force on it is zero.
2. The only external forces are its weight downward and the tension upward.
3. For those to cancel, the tension must equal the weight of the supported mass.
4. Substitute the values: (5.00 kg)(9.80 m/s^2) = 49.0 N.
5. Quoting 5.00 N confuses a mass in kilograms with a force in newtons.
_Source: OpenStax College Physics (CC BY 4.0), Ch 4 "Dynamics: Force and Newton's Laws of Motion", section 4.5 Normal, Tension, and Other Examples of Forces_
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