How to find deceleration up incline

AI Thread Summary
To find the deceleration of an object moving up an incline, it's essential to draw a Free Body Diagram (FBD) to identify the forces acting on the block. The net force can be determined from the FBD, which will help in calculating the initial acceleration. The relevant equation provided, a = g sin theta - u g cos theta, should be applied carefully, considering the different phases of motion separately. It's important to analyze both the upward and downward movements to accurately solve for the initial acceleration. Understanding these forces and their effects is crucial for solving the problem effectively.
xwalsh
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Homework Statement
Use Newton's Laws to find the speed of the block when it returns to its original location.
Relevant Equations
a = g sin theta - u g cos theta
Basically the problem is giving me an initial velocity to start with it goes up the incline before it comes back down. I know how to do everything else in the problem but solve for the initial acceleration up the incline. What would I need to calculate to solve this?
Screenshot 2021-12-15 211539.png
 
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Hi xwalsh, Welcome to Physics Forums.

Have you drawn a Free Body Diagram (FBD) for the block to show the forces acting? What does it tell you about the net force acting on the block?
 
xwalsh said:
Relevant Equations:: a = g sin theta - u g cos theta
That equation does not apply throughout the sequence. Rather than use it blindly, follow @gneill's advice to draw FBDs, but consider the up and down phases separately..
 
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