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Answer :
Final answer:
The tension in the cord supporting a 50kg steel ball in free fall is zero. This conclusion is derived from Newton's second law which states that the net external forces acting on a body in free fall balance out, resulting in zero tension within the system.
Explanation:
The question pertains to the concept of tension in a cord-supporting mass in a state of free fall. According to the principle of Newton's second law, when the entire system is in free fall, the net external forces acting on it equal zero. As a result, the tension in the rope must equal the weight of the supported mass.
For a 50 kg steel ball (neglecting the mass of the rope), the tension, T, can be calculated using the equation T = mg, where m is the mass and g is the gravitational acceleration (approximately 9.8 m/s²). Therefore, T = (50 kg) * (9.8 m/s²) = 490 N. However, the system is in free fall, therefore, the tension in the cord is (a) zero. Net external forces acting on the system balance out, resulting in zero tension within the system.
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