Can someone please check this modified pendulum velocity problem

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    Pendulum Velocity
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The discussion revolves around calculating the velocity of a modified ballistic pendulum, where the user is trying to determine the initial velocity of a marble launched into a block. The user has provided the angle of elevation, length of the string, and mass of the block but is struggling with the calculations, particularly with trigonometric functions and the application of energy conservation principles. They initially calculated a velocity of 0.6 m/s, which is significantly lower than the manufacturer's specified velocity of 5.5 m/s, leading to confusion about their approach. Clarifications were made regarding the correct notation for square root calculations and the need to ensure proper application of the kinetic and potential energy equations. The user seeks assistance in identifying specific errors in their calculations to align their results with expected outcomes.
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[solved] Can someone please check this modified pendulum velocity problem

Homework Statement


I'm looking for the ballistic pendulum velocity for a simple machine (pull back lever, it shoots a marble into a block that raises to a certain degree measured)

I have the angle that the block is raised
length of the string
mass of block


Homework Equations


Ke=Pe (1/2MV^2=MGH)
cos@=length of sting - height/length of string






The Attempt at a Solution




.20cos25.3 = .20 - h

which gives me .02cm, which in turn gives me .6m/s, which seems a bit slow, I feel as if I'm messing up my trig but I don't know where...




s.jpg


I figured out I was using an incorrect derivation, I was just so fixed on thinking I had messed up my trig work
 
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I'm confused in what you want us to check? What specific quantity are you concerned about?

The intial velocity of the object after its pulled back a certain distance?
 
jegues said:
I'm confused in what you want us to check? What specific quantity are you concerned about?

The intial velocity of the object after its pulled back a certain distance?
I've been given the manufacturers velocity, which is 5.5m/s, I'm getting less than 1m/s and honestly I don't see what I'm doing wrong.
BTW here is the pendulum I used:
1600-4.jpg
 
What exactly is this:

V = Rad(9.8 * 0.2)/0.5

?
 
jegues said:
What exactly is this:

V = Rad(9.8 * 0.2)/0.5

?


Ke=Pe
1/2mv^2=mgh
masses cancel, divide both sides by .5
take the square root of both sides to get v=rad(GH)/.5
 
Just your notation--rad is confused with radians. \sqrt{} is available on the latex option on advanced setting with the icon:\Sigma Or simply denote as sqrt(gh/.5)
 
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