The ends of a massless rope are attached to two stationary objects (e. g., two trees or two cars) so that the rope makes a straight line. For this situation, which of the following statements are true?

a. The tension in the rope is everywhere the same.
b. The magnitudes of the forces exerted on the two objects by the rope are the same.
c. The forces exerted on the two objects by the rope must be in opposite directions.
d. The forces exerted on the two objects by the rope must be in the direction of the rope.

The statements considered to be true in the given problem are;

The tension in the rope is everywhere the same. The magnitudes of the forces exerted on the two objects by the rope are the same. The forces exerted on the two objects by the rope must be in opposite directions. The forces exerted on the two objects by the rope must be in the direction of the rope

In the given problem, we can demonstrate the position of this rope and the two objects using a simple sketch;

object1object2

From this simple diagram is obvious that;

The tension in the rope is everywhere the same (this is true since the line is straight)The magnitudes of the forces exerted on the two objects by the rope are the same (this is true since the tension is uniform)The forces exerted on the two objects by the rope must be in opposite directions. (This is true since the two objects are in opposite direction)The forces exerted on the two objects by the rope must be in the direction of the rope (this is true since the rope exerts the force)

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Ithink the answer is a

Ithink they do have the same properties just in less quantities i think