Find Acceleration of a sliding object

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Homework Help Overview

The problem involves determining the acceleration of a 42 kg block of ice sliding down a 30-degree incline, with the assumption that friction is negligible. The context is rooted in classical mechanics, specifically focusing on forces acting on an object on an inclined plane.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to utilize the equation F=ma but expresses confusion about how to determine the force acting on the block. Some participants question the components of force along the incline and emphasize the importance of the incline angle in determining acceleration.

Discussion Status

Participants are exploring different aspects of the problem, including the role of weight and the absence of friction. There is a focus on using free body diagrams to visualize forces, and some guidance is offered regarding the application of trigonometry to resolve forces along the incline. Multiple interpretations of the problem are being discussed without reaching a consensus.

Contextual Notes

The problem explicitly states that the surface is frictionless, which is a critical assumption affecting the analysis of forces. Participants are also reflecting on the implications of weight in relation to acceleration in a frictionless context.

dhymas
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URGENT! Find Acceleration of a sliding object

Homework Statement


A 42 kg block of ice slides down a 30 degree plane. Assuming friction is negligible, what is the acceleration of the block down the incline


Homework Equations


F=ma
W=mg



The Attempt at a Solution


I have drawn the right free body diagram. I adjusted the x and y-axis so that the x-axis lines up with the incline. I am just stuck as to how to approach this problem. I am assuming I will be using F=ma and solving for a. I'm just confused because I don't really know how to find F. I have found the x and y components of the W (weight) of the free body with the 30 degree.
 
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what do you think will be the component of force along the incline?
 


We have just been taught about force of friction. I know that the incline is very important in determining acceleration
 


Weight will also be another force that will be important
 


The problem with Force of Friction is that the problem states that it is a frictionless surface
 


here there is no friction as its an ice block

use weight to find the the force on block along the incline
 


show us the free body diagram.
 


dhymas said:
Weight will also be another force that will be important

Let's say two objects are dropped at the same time. One weighs 1kg and the other weighs 100kg and wind resistance isn't a factor. Which one hits the ground first? My point is: weight doesn't change how fast something accelerates towards the ground (unless friction is involved)

you will only need to use weight to find the normal force when you're drawing the FBD. Since there is no friction, you don't need to multiply the normal force by the coefficient of friction.

to solve this, you'll need to use trig to figure out what a 9.8 m/s^2 downward acceleration would be when the object doesn't go straight down but rather down a 30 degree slope
 

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