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------------------------------------------------ A crane lifts a load of bricks with a mass of 1,740 kg at an initial acceleration of 1.64 m/s². Calculate the tension in the cable.

The tension in the crane's cable, as it lifts a load of bricks of mass 1740 kg with an acceleration of 1.64 m/s^2, can be calculated using Newton's second law. The tension T = mg + ma, where m is mass, g is acceleration due to gravity, and a is the applied acceleration. The calculated tension in this case is approximately 19040.4 Newtons.

Explanation:

The student's query is related to the concept of tension in the cables when the crane lifts a load. For a load of mass m being lifted with an acceleration a, the tension T in the cable can be found using Newton's second law of motion. The equation being: T=mg+m*a. The force of gravity acting on the object is the mass times acceleration due to gravity (mg). The force applied to accelerate the object is mass times acceleration (ma). Thus, the tension in the cable is the sum of these two forces.

Applying given values to the equation:

T = (1740kg * 9.81 m/s^2) + (1740kg * 1.64 m/s^2).

Solving for T, we get T = ~19040.4 Newtons.

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