You hold one end of a rope and pull horizontally with a fo rce of 65N. Ca lculate the tension in the rope if the other end is: a) Tied to a wall . b) Held by a friend who is pulling with a force of 65N in the opposite direction
a) If the other end of the rope is tied to a wall, the tension in the rope will be equal to the force you are applying, which is 65N.
b) If the other end of the rope is held by a friend who is pulling with a force of 65N in the opposite direction, the tension in the rope will be the sum of the two forces. Since both forces are equal in magnitude and opposite in direction, the tension in the rope will be the sum of the magnitudes, which is 65N + 65N = 130N.
a) If the other end of the rope is tied to a wall, there is no horizontal motion. Therefore, the tension in the rope is equal to the force you are applying, which is 65N.
b) If the other end of the rope is held by a friend who is pulling with a force of 65N in the opposite direction, we need to consider the net force. The net force is given by the difference between the two forces:
Net force = Force applied by you - Force applied by the friend
Net force = 65N - 65N
Net force = 0N
Since the net force is 0N, there is no horizontal acceleration, and the tension in the rope would also be 0N.
To calculate the tension in the rope, we need to consider the two scenarios separately:
a) Tied to a wall:
When one end of the rope is tied to a wall, it means that there is an opposing force at that end, preventing any movement. In this case, the tension in the rope will be equal to the force you are applying, which is 65N.
b) Held by a friend who is pulling with a force of 65N in the opposite direction:
In this scenario, there are two forces acting on the rope - your force of 65N in one direction and your friend's force of 65N in the opposite direction. The tension in the rope can be calculated by finding the net force acting on it.
Since the forces are in opposite directions, we subtract one force from the other to find the net force. In this case, the net force is:
Net force = 65N - 65N = 0N
Since the net force is zero, it implies that the tension in the rope is also zero. This means that the rope will not experience any tension while being pulled in opposite directions by you and your friend.