Calculating Tension of a Cord w/ Watermelon & Pumpkin

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The discussion revolves around calculating the acceleration and distance traveled by a pumpkin and watermelon system connected by a cord over a pulley, with negligible friction. Key questions include determining the acceleration of both the pumpkin and watermelon, the distance the pumpkin travels along an incline in 0.30 seconds, and the speed of the watermelon after 0.20 seconds. Participants emphasize the importance of drawing free body diagrams to analyze the forces acting on each mass as a foundational step in solving the problem. Clarification is sought regarding the incline's specifics and whether a visual representation of the problem exists. Understanding the mechanics of the system is crucial for arriving at accurate solutions.
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A 9.8-kg watermelon and a 8.0-kg pumpkin are attached to each other via a cord that wraps over a pulley, as shown. Friction is negligible everywhere in this system.

What is the acceleration of the pumpkin?

What is the acceleration of the watermelon?

If the system is released from rest, how far along the incline will the pumpkin travel in 0.30 s?


What is the speed of the watermelon after 0.20 s?
 
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I have tried several ways, none of which were right. At this point I don't even know where to start. None of my classmates have figured it out either.
 
mashoema said:
A 9.8-kg watermelon and a 8.0-kg pumpkin are attached to each other via a cord that wraps over a pulley, as shown. Friction is negligible everywhere in this system.

What is the acceleration of the pumpkin?

What is the acceleration of the watermelon?

If the system is released from rest, how far along the incline will the pumpkin travel in 0.30 s?


What is the speed of the watermelon after 0.20 s?

What incline is being referred to? Is there a picture of this problem?
Also, note that the ability or lack thereof of others to solve the problem does not preclude the possibility of a simple solution. The way to start mechanical problems like this one is to draw a free body diagram for each mass.
 
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