The purpose of this experiment was to predict the time it would take for a hanger on an Atwood machine to land on a moving cart. Ally and I gathered data in order to make a prediction.
Materials
- hanger
- 500g weight
- scale
- string
- motorized cart
- track
First, we found the total mass of the system. The green cart weighed 476.8 g and the weight of the cart on the track plus the weight of the string weighed 1,092.3 g. This total came in at 1.093 kg.
Next, we solved for acceleration using the formula: a=Fnet/m
The mass weighed in at 1.093 kg and the Fnet=Fp which was .5N.
After we found the acceleration, we created a FBD to help visualize the net forces acting on the cart.
The Fn and the Fg were equal, with 10.68 N acting on it vertically and the Ft was .5N, which is also the Fnet.
Lastly, to find the amount of time it would take for the weight to land on the cart, we used the formula: ∆x=1/2a∆t^2+Vit
The ∆x was .955cm, the acceleration was .455, and the Vi was 0m/s. This gave us a time of 1.448s.
Our prediction was accepted because when we released the motorized, green cart at this time, the weight landed on top of it. Therefore, we had no percent error since our hypothesis was correct. To see our successful experiment, watch it here:
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