Help on Ballistic Pendulum Angle

AI Thread Summary
A bullet with a mass of 0.029 kg is fired at 95.00 m/s, striking a block of mass 2.40 kg, which then rises to a height of 0.0656 m. To find the angle through which the block rises, the discussion suggests using trigonometric functions and a free-body diagram. The relationship between the length of the strings and the height achieved is expressed as L - L cos(angle) = h. By rearranging this formula, the angle can be calculated using the inverse cosine function: angle = inverse cos((L - h)/L). The final calculated angle for this exercise is 29.68 degrees.
Naldo6
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Homework Statement




A bullet (m = 0.029kg) is fired with a speed of 95.00m/s and hits a block (M = 2.40kg) supported by two light strings , stopping quickly. Find the height to which the block rises.

The correct answer is 6.56E-02 m

BUt the next question is:

Find the angle (in degrees) through which the block rises, if the strings are 0.50 m in length.

i don't know how i get that angle... could anyone help please?...
 
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I think if you draw a free-body diagram and break each string into x and y components. you could use trig.

Sorry, don't know now exactly if this helps, but maybe it will.
 
nop... it doesn't function because the trangle formed isnot a rectangle one...
 
anyone know how to find that angle?...
 
yes i got it...

L - L cos(angle)= h

then we get:
angle = inverse cos ((L - h)/L )

for this exersice the correct answer is 29.68
 

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