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Answer :
The tension in the cable when the man is being lifted from the capsized boat depends on a few factors. To determine the tension, we need to consider the weight of the man and the acceleration being applied.
First, let's determine the weight of the man. We can do this by using the formula W = m * g, where W is the weight, m is the mass of the man, and g is the acceleration due to gravity (approximately 9.8 m/s²).
Next, we need to calculate the force required to lift the man. This force is equal to the weight of the man multiplied by the acceleration being applied.
Since the man is given a little effort acceleration, we need to know the specific value of the acceleration to proceed with the calculation.
Once we have the acceleration value, we can multiply it by the weight of the man to find the tension in the cable.
To illustrate this, let's assume the mass of the man is 75 kilograms and the acceleration being applied is 2 meters per second squared.
Using the formula W = m * g, we can calculate the weight of the man:
W = 75 kg * 9.8 m/s²
= 735 N.
Now, we can determine the force required to lift the man. The force is equal to the weight of the man multiplied by the acceleration being applied:
F = 735 N * 2 m/s²
= 1470 N.
Therefore, the tension in the cable when the man is given a little effort acceleration is 1470 Newtons.
To find the tension in the cable, we need to determine the weight of the man and multiply it by the acceleration being applied. By using the formula W = m * g, we can calculate the weight, and then multiply it by the acceleration to find the force required.
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