How Does Mass Leakage Affect the Velocity of a Cart?

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Mass leakage from the cart affects its velocity by reducing the mass being accelerated over time. Initially, the cart has a mass of 100 kg, but with a leakage rate of 1 kg/s, the mass decreases to 50 kg after 50 seconds. The force applied remains constant at 100 N, leading to a change in acceleration as mass decreases. Using the formula F = ma, the velocity can be calculated considering the changing mass. Ultimately, the leakage results in a higher velocity than if the mass remained constant, illustrating the impact of mass loss on motion.
Sagar98
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A cart has a load of 100 kg sand at start and it is pulled by a steady resultant force of 100N starting from rest. A hole in the cart causes steady leakage of 1kg/s. Find velocity v of the cart after 50s of motion.
 
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