Answer :
Final answer:
The net force acting on the 15 kg bucket suspended from a rope with a tension of 182 N, when considering weight due to gravity and tension, is 35 N. This translates to an upward acceleration of 2.3 m/s2 according to Newton's second law.
Explanation:
The question is asking for the acceleration of a 15 kg bucket suspended from a rope with a tension of 182 N. We start by identifying the forces acting on the bucket - its weight (due to gravity) and the tension in the rope. The weight can be calculated by multiplying the mass of the bucket by the acceleration due to gravity (9.8 m/s2). So, 15 kg * 9.8 m/s2 = 147 N. This force acts downwards.
The tension in the rope is 182 N and acts upwards. To calculate the net force acting on the bucket, subtract the weight from the tension. So, 182 N - 147 N = 35 N. According to Newton's second law, Force = mass * acceleration, so rearrange to find acceleration = Force / mass. This gives us an acceleration of 35 N / 15 kg = 2.3 m/s2, upward.
Learn more about Newton's Second Law here:
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