If a force of 132 Newtons stretched a coil by 0.007 meters, what force would be needed to stretch the coil by 0.1 meter? Round to the nearest tenth.
D) 1885.7N is the correct amount of force needed to stretch the coil by 0.1 meter.
The force required to stretch a coil is directly proportional to the amount of stretch. Hence, if a force of 132 Newtons stretches a coil by 0.007 meters, a higher force would be required to stretch the coil by a greater distance.
This choice is incorrect because 92.4N is less than the original force of 132 Newtons that stretched the coil by 0.007 meters. Since the force required to stretch a coil is directly proportional to the distance, a force less than 132N would result in a stretch less than 0.007 meters, not more.
This choice is incorrect because 136.0N is only slightly more than the initial force of 132 Newtons that stretched the coil by 0.007 meter. A slight increase in force would result in a slight increase in stretch, but not as much as to stretch the coil by 0.1 meter.
This choice is incorrect because 188.6N, although greater than the initial force of 132 Newtons, is still not sufficient to stretch the coil by 0.1 meter. The force required to stretch a coil is directly proportional to the stretch itself, and thus a significantly larger force would be required to achieve a significantly larger stretch.
The force required to stretch a coil is directly proportional to the stretch itself. Therefore, if 132 Newtons of force stretched the coil by 0.007 meters, a much larger force would be required to stretch the coil by a larger distance of 0.1 meter. In this case, a force of 1885.7N would be needed, making option D the correct answer. This is consistent with the principle of direct proportion: if the stretch increases, so must the force and vice versa.
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