What is the tension in the rope of this figure description?
60 kg person is hanging in the air on a rope attached to a pulley, with a 100 kg mass attached on other end that is touching the ground.
To determine the tension in the rope, we can use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this scenario, the 60 kg person is suspended in the air, so the only force acting on them is the tension in the rope. The 100 kg mass on the other end of the rope touching the ground exerts a gravitational force downwards.
To find the tension, we need to find the net force acting on the person. Since the person is not accelerating, the net force acting on them must be zero.
The gravitational force on the person can be calculated using the equation F = m * g, where F is the force, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2).
Gravitational force on the person = 60 kg * 9.8 m/s^2 = 588 N
Since the person is not accelerating, the tension in the rope must be equal to the gravitational force exerted on them, which is 588 N. Therefore, the tension in the rope is 588 N.