Tension and acceleration with 9.8-kg watermelon and 8-kg pumpkin on pulley

[mashoema]

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?

 

[Delphi51]

Attempt the solution!

 

[mashoema]

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.

 

[slider142]

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.