Projectile Motion Review Homework Help

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Homework Help Overview

The problem involves a block on a frictionless tabletop connected to a spring, which is compressed and then released, causing the block to follow a projectile motion trajectory. The task includes calculating the time of flight, the speed of the block upon leaving the table, and the distance the spring was compressed.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about solving the problem due to a lack of recent practice with projectile motion concepts. They suggest using the spring constant in their calculations.
  • One participant suggests using kinematic equations to find the time of flight and horizontal distance, while also mentioning the work-energy theorem for the third part of the problem.
  • Another participant expresses understanding after receiving guidance.

Discussion Status

The discussion is progressing with participants exploring different approaches to the problem. Some guidance has been provided regarding the use of kinematic equations and the work-energy theorem, but no consensus or final solution has been reached.

Contextual Notes

The original poster indicates they are currently ahead in their coursework, which may contribute to their confusion about the material. There is a mention of negligible air resistance, which could affect the calculations.

kayjaydee
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Homework Statement



Block I of mass 4.0 kg is on a horizontal, frictionless tabletop and is placed against a spring of negligible mass and spring
constant 650 N/m. The other end of the spring is attached to a wall. The block is pushed toward the wall until the spring has been compressed a distance x, as shown above. The block is released and follows the trajectory shown, falling 0.80 m vertically and striking a target on the floor that is a horizontal distance of 1.2 m from the edge of the table. Air resistance is negligible.
a.Calculate the time elapsed from the instant block I leaves the table to the instant it strikes the floor.

b.Calculate the speed of the block as it leaves the table.

c.Calculate the distance the spring was compressed.

Homework Equations



d=volt+1/2at^2
v=vo+at
v^2=vo^2+2ad

The Attempt at a Solution



I really forgot how to do this. We are so far ahead of this unit, now, that I lost all my projectile motion mojo.
I'm guessing you solve for time using the spring constant and one of the above equations, but that's all that I know. I'm really rusty in the projectile area. :(
 
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Since the block leaves the table with no initial downward motion you can solve the equation
s = v_0t + \frac{1}{2}at^2
Where s is the distance from the table top to the floor and a is the acceleration due to gravity.
From this time you can use the same equation again using s as the horizontal distance moved.
For the third part try the work energy theorem :)
 
Okay! I think I understand now! thank you!
 
No problem, good luck! :)
 

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