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Two persons are applying forces on two opposite sides of a movingcart. The cart still moves with the same speed in the samedirection. What do you infer about the magnitudes and directionof the forces applied

Question

Two persons are applying forces on two opposite sides of a movingcart. The cart still moves with the same speed in the samedirection. What do you infer about the magnitudes and directionof the forces applied

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Solution

From the given scenario, we can infer the following:

  1. Magnitude of Forces: The magnitudes of the forces applied by the two persons are equal. This is because the cart continues to move at the same speed, indicating that there is no net force acting on it. According to Newton's second law of motion, the net force acting on an object is equal to the mass of the object multiplied by the acceleration of the object. If the cart is not accelerating (i.e., its speed is constant), the net force acting on it must be zero. Therefore, the forces applied by the two persons must cancel each other out, implying that they are of equal magnitude.

  2. Direction of Forces: The directions of the forces applied by the two persons are opposite to each other. This is because the forces are applied on opposite sides of the cart and they cancel each other out. If the directions were not opposite, the forces would not cancel and there would be a net force acting on the cart, causing it to accelerate, which contradicts the given information that the cart moves with the same speed.

This problem has been solved

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