Laws of Forces and Motion: Block Sliding Down an Incline

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Homework Help Overview

The problem involves a block sliding down a frictionless incline and subsequently falling off a table. It addresses concepts related to forces, motion, and projectile dynamics, specifically focusing on the acceleration and velocity of the block as it transitions from the incline to free fall.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the separation of motion into vector components after the block leaves the incline. There is an exploration of whether the acceleration found while on the incline can be applied to the horizontal motion once the block becomes a projectile.

Discussion Status

Some participants have clarified that once the block leaves the incline, it behaves as a projectile under the influence of gravity. There is acknowledgment of the transition from incline motion to projectile motion, with questions about the role of initial acceleration in this new context.

Contextual Notes

Participants are navigating the implications of the block's motion as it shifts from sliding down the incline to falling off the table, raising questions about the forces acting on it during these phases.

saber1357
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1. Homework Statement

A block of mass m=2.00kg is released from rest at h=5m above the surface of the table, at the top of a theta=30 degrees incline. The frictionless incline is fixed upon a table with a height of 2.0m. a) determine acceleration as it slides down the incline.
b)What is velocity of block as it leaves incline?
c) How far from the table will the block hit the floor?
d)what time interval elapses.

2. Homework Equations
a) F = ma, a = F/m
b) Vf^2 = Vi^2 + (2*a*position)
c) ?
d) position = Vi + 1/2*a*t^2

3. The Attempt at a Solution
I figured out part a, the acceleration, and part b, the velocity at which the object left the incline. However, as soon as the object leaves the incline, it begins falling off the table. If I'm suppose to separate this part of the question into vector components, how would I go about doing that? Can I use the acceleration I found in a) as the horizontal acceleration?
 
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Once the object leaves the incline and starts falling, it becomes a projectile just like any other. What must its acceleration be?
 
Acceleration due to gravity, however, since the particle was accelerating to begin with, does that play a role in anything?
 
Not once it leaves the incline and start falling. (Any force that the incline was exerting on the object stops acting as soon as the object loses contact with the incline.)
 
Understood! Thank you!
 

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