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Answer :
To find the tension in a cable lifting a mass with an acceleration, use the modified version of Newton's second law, T = m(g + a), where T is tension, m is mass, g is gravitational acceleration, and a is acceleration of the mass. For a mass of 120 kg accelerating at 1.3 , the tension in the cable is 1333.2 N.
To determine the tension in cable 1, if we consider the scenario where a cable raises a mass of 120.0 kg with an acceleration of 1.3 m/s2, we can use the following physics concepts: force, mass, acceleration, and tension. The tension in the cable can be calculated using Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration (F = ma).
To find the tension in the cable, we need to account for both the gravitational force pulling the mass downward and the force required to accelerate the mass upward. The formula is modified to T = m(g + a), where T is the tension, m is the mass, g is the acceleration due to gravity (approximately 9.81 m/s2), and a is the provided acceleration.
Plugging in the numbers, we get: T = 120 kg x (9.81 m/s2 + 1.3 m/s2) = 120 kg x 11.11 m/s2 = 1333.2 N. Therefore, the tension in the cable is 1333.2 N.
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