How Do You Calculate the Force to Accelerate a Cart in a Pulley Experiment?

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To calculate the force needed to accelerate a cart in a pulley experiment, the total mass of the system, which includes both the cart and the weights on it, should be multiplied by the acceleration. The acceleration can be determined by measuring the time it takes for the cart to travel a specific distance. It's important to consider the entire mass of the system rather than just the mass on the hooked hanger. This approach aligns with the formula F = ma, ensuring accurate force calculations. Understanding this principle is crucial for conducting the experiment effectively.
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I am doing an experiment where a cart is connected to a hooked hanger via pulley. The weight of the system is constant throughout the experiment, but weights are taken from the cart and connected to the hanger. We then record the time it takes the cart to travel a certain distance of time. I am able to calculate the acceleration. However, I am required to also calculate the force needed to accelerate the cart. Do I multiply the mass of the cart (with the weights on top included) by the acceleration or do I multiply the mass on the hooked hanger by the acc.? thanks
 
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F = ma

mult the mass of the system by the acceleration...then you'll get the force
 

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