How much tension is there in a rope that holds a 20-N bag of apples at rest?

How much tension is there in a rope that holds a 20-N bag of apples at rest? The tension in the rope must equal the weight of the supported mass, which can be explained using Newton's second law. If the bag of apples is stationary, then it has zero acceleration, and the net force acting on it is also zero. The forces at play here are the weight of the bag (W) and the tension (T) provided by the rope suspending it. We can express this as:
Fnet = T - W = 0, where T and W represent the magnitudes of the tension in the rope and the weight of the bag, respectively. Since the system is at rest, T must balance W to maintain equilibrium. Thus, the tension in the rope is equal to the weight of the bag:
T = W = 20 N.

Answered by BetteDavis | 2024-06-18

The tension in the rope holding a 20-N bag of apples at rest is 20 N. This is because the tension needs to balance the weight of the bag to maintain equilibrium. Thus, T = W = 20 N.
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Answered by BetteDavis | 2024-09-27