How far does the marble travel horizontally before hitting the floor?

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Homework Help Overview

The problem involves a marble being shot horizontally from a spring mounted on a lab bench, with the goal of determining how far it travels horizontally before hitting the floor, which is 93.0 cm below. The scenario includes concepts from mechanics, specifically energy conservation and projectile motion.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss finding the initial velocity of the marble using energy conservation principles. Questions arise about the application of projectile motion and whether alternative methods can be used.

Discussion Status

The discussion is active, with participants confirming calculations related to the marble's initial velocity and exploring the implications of treating the motion as a projectile problem. Some participants express uncertainty about the projectile motion concepts, indicating a mix of understanding and inquiry.

Contextual Notes

There is mention of a lack of prior exposure to projectile motion in class, which may affect the participants' confidence in applying these concepts to the problem.

jasonbans
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Homework Statement


A horizontal spring, of force constant 12N/m, is mounted at the edge of a lab bench to shoot marbles at targets on the floor 93.0 cm below. A marble of mass 8.3 x 10^-3kg is shot from the spring, which is initially compressed a distance of 4.0 cm. how far does the marble travel horizontally before hitting the floor?


Homework Equations


Ee= 1/2kx^2
Ep=mgh
Ek=1/2mv^2 ?
W= Fd?

The Attempt at a Solution



not sure how to start it off
 
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First let us find the initial velocity with which the marble is projected.

What principle do you think we will use?
 
Start by figuring how fast the marble is moving when it leaves the spring.
 
ok i did that and i got 1.52m/s by using the law of conservation energy "Ee=Ek"
 
correct
 
jasonbans said:
ok i did that and i got 1.52m/s by using the law of conservation energy "Ee=Ek"
Good.

Now you can treat the rest as a projectile motion problem. How long does it take for the marble to hit the floor?
 
Now this is the speed with which the marble is projected horizontally onto the floor below.
 
we never have touch upon projectile motion in class. is there some other method?
 
in projectile motion the vertical motion is independent of the horizontal motion.

Hence one can treat projectile motion as the resultant of two linear motions. So just work in linear motion. But be careful whether you are working in the vertical or in the horizontal.
 

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