Answer :
Final answer:
This is a physics problem about Newton's second law (F=ma). In this scenario, Robin Hood is accelerating upwards with about 15.01 m/s² and the tension in the rope is approximately 1922 N, assuming the rope is massless and doesn't break under this large tension.
Explanation:
This is a physics problem related to Newton's second law, which states that Force equals mass times acceleration (F=ma). From Newton's second law, we can calculate Robin's acceleration and the tension in the rope, given the force acting on him.
First, we need to understand the situation: Robin Hood is hanging on a rope attached to a chandelier. Assume that Robin Hood (with mass 77 kg) is moving upward, thus his force is opposite to the force of gravity.
The net force on Robin can be calculated by subtracting the gravitational force on Robin from the gravitational force on the chandelier. We have Net force = (mass of chandelier * g) - (mass of Robin * g). With 'g' being the acceleration due to gravity (~9.8 m/s²), the net force = (195 kg * 9.8 m/s²) - (77 kg * 9.8 m/s²) = ~1156 N.
Then the acceleration is found using F=ma, thus a = F/m = 1156 N / 77 kg, which is approximately 15.01 m/s^2.
The tension in the rope can be calculated by the formula Tension = mass * (g + a), where 'a' is the upward acceleration of Robin Hood. Therefore, tension = 77 kg * (9.8 m/s² + 15.01 m/s²) = ~1922 N.
Please note that the above calculations ignore any air resistance and assume the cord is massless and doesn't break under the large tension.
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