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Two identical 0.18 kg blocks (labeled 1 and 2) are initially at rest on a nearly frictionless surface, connected by an unstretched spring, as shown in the upper diagram, where x2 = 0.06 m. Then a constant force of 9 N to the right is applied to block 2, and at a later time the blocks are in the new positions shown in the lower diagram, where x1 = 0.01 m and x3 = 0.1 m. At this final time, the system is moving to the right and also vibrating, and the spring is stretched.
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What is the spring constant of the spring?
The spring constant of the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is equal to the spring constant multiplied by the displacement of the spring. In this case, the displacement of the spring is x3 - x2 = 0.1 m - 0.06 m = 0.04 m. Therefore, the spring constant can be calculated as:
Spring Constant = Force / Displacement = 9 N / 0.04 m = 225 N/m
The spring constant of the spring can be calculated using Hooke's Law, which states that the force exerted by a spring is equal to the spring constant multiplied by the displacement of the spring. In this case, the displacement of the spring is x3 - x2 = 0.1 m - 0.06 m = 0.04 m. Therefore, the spring constant can be calculated as:
Spring Constant = Force / Displacement = 9 N / 0.04 m = 225 N/m