How to find deceleration up incline

In summary, the conversation discusses a problem involving finding the initial acceleration of a block moving up an incline. The equation a = g sin theta - u g cos theta is suggested, but it is recommended to draw a Free Body Diagram and consider the up and down phases separately.
  • #1
xwalsh
1
0
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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  • #2
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?
 
  • #3
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..
 

FAQ: How to find deceleration up incline

How do I calculate deceleration on an incline?

To calculate deceleration on an incline, you will need to use the formula a = g(sinθ - μcosθ), where a is the deceleration, g is the acceleration due to gravity (9.8 m/s²), θ is the angle of the incline, and μ is the coefficient of friction between the object and the incline.

What is the difference between deceleration and acceleration?

Deceleration is the rate at which an object slows down, while acceleration is the rate at which an object speeds up. Both are measured in meters per second squared (m/s²) and can be positive or negative depending on the direction of motion.

How does the angle of the incline affect deceleration?

The steeper the incline, the greater the deceleration will be. This is because the component of the object's weight pulling it down the incline increases as the angle increases, resulting in a larger force acting against the motion of the object.

What factors can affect the deceleration of an object on an incline?

The deceleration of an object on an incline can be affected by the angle of the incline, the mass of the object, the coefficient of friction between the object and the incline, and air resistance. Other factors such as the shape and surface of the object can also play a role.

Can deceleration ever be greater than acceleration?

No, deceleration cannot be greater than acceleration. This is because deceleration is simply a negative acceleration, meaning it is in the opposite direction of the object's motion. Therefore, acceleration will always be greater in magnitude than deceleration.

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