Final answer:
To find the maximum force the motor should exert on the supporting cable, we use the equation F = ma. The maximum force should be 2.76x10² N.
Step-by-step explanation:
To find the maximum force the motor should exert on the supporting cable, we can use the equation F = ma, where F is the force, m is the mass, and a is the acceleration. In this case, the maximum acceleration is given as 6.20×10⁻²g. To convert this to m/s², we multiply by the acceleration due to gravity, g = 9.8 m/s². Therefore, the maximum acceleration is 6.20×10⁻²×9.8 m/s². Plugging in the given mass of 4550 kg, we can now calculate the maximum force:
F = (6.20×10⁻²×9.8 m/s²)(4550 kg) = 2.764 ×10⁻²32 N.
Therefore, the maximum force the motor should exert on the supporting cable is 2.76×10² N.