A box weighing 180 newtons is hanging by rope as shown in the figure. Find the tension T¿.
the answer is 171 newtons
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To find the tension T in the rope, we need to consider the forces acting on the box.
In this case, the box is hanging by the rope, so there are two forces acting on the box:
1. The weight of the box, which acts downward and has a magnitude of 180 newtons.
2. The tension force in the rope, which acts upwards.
Since the box is not accelerating (it is in equilibrium), the sum of the forces in the vertical direction must be zero. Therefore, the tension T in the rope must be equal to the weight of the box.
Therefore, T = 180 newtons.
To find the tension T in the rope, we need to consider the forces acting on the box. In this case, there are two forces involved: the weight of the box (180 newtons) and the tension in the rope (T).
However, since the box is in equilibrium (not accelerating in any direction), the sum of the forces acting on it must be zero. So, we can set up an equation to represent this:
T - 180 = 0
Here, T represents the tension in the rope and 180 represents the weight of the box. We set this equation equal to zero because the net force acting on the box is zero in equilibrium.
Now, we can solve for T by isolating it on one side of the equation:
T = 180
Therefore, the tension in the rope is 180 newtons.