Twenty people participate in a tug-of-war. The two teams of ten people are so evenly matched that neither team wins. After the game, they notice that a car is stuck in the mud. They attach the tug-of-war rope to the bumper of the car, and all the people pull on the rope. The heavy car has just moved a couple of decimeters when the rope breaks. Why it did not break when the same twenty people pulled on it in a tug-of-war?
The rope breaks because it couldn’t support the tension that was created by the twenty people pulling the car.
Tension force is defined as the force that is transmitted by a rope, string, or wire when pulled by forces acting from opposite sides. The pulling force is directed along the length of the wire, pulling energy evenly onto the bodies at the ends.
In the first case, in which twenty people participated in a tug of war the tension was created by ten people pulling on one side and ten people pulling on the other side.
In the second case, however, twenty people pulled on one side until the rope broke which means that the tension generated twice as big compared to the first case.
Question: In Figure P5.101, the incline has mass M and is fastened to the stationary horizontal tabletop. The block of mass m is placed near the bottom of the incline and is released with a quick push that sets it sliding upward. The block stops near the top of the incline as shown in the figure and then slides down again, always without friction. Find the force that the table top exerts on the incline throughout this motion in terms of m, M, g and θ.
The third graders are on one side of a schoolyard, and the fourth graders are on the other. They are throwing snowballs at each other. As a result, snowballs of various masses are moving with different velocities, as shown in Figure OQ5.3. Rank the snowballs (a) through (e) according to the magnitude of the total force exerted on each one. Ignore air resistance. If two snowballs rank together, make that fact clear.
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