Conservation of momentum: vertical shot

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SUMMARY

The discussion centers on a physics problem involving the conservation of momentum, where a 0.028 kg bullet is fired vertically at 165 m/s into a 0.15 kg baseball at rest. The initial momentum is calculated using the equation mv + mv = mv + mv, leading to a final velocity (vf) of 25.96 m/s for the combined mass after the collision. The height reached by the combined bullet and baseball is determined using the kinematic equation, resulting in a corrected height of 34.4 meters after addressing a calculation error. This highlights the importance of careful arithmetic in physics problems.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Familiarity with kinematic equations
  • Basic knowledge of mass and velocity calculations
  • Ability to perform algebraic manipulations accurately
NEXT STEPS
  • Study the principles of conservation of momentum in elastic and inelastic collisions
  • Learn about kinematic equations for vertical motion under gravity
  • Explore examples of momentum conservation in real-world applications
  • Practice solving physics problems involving multiple objects and collisions
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of momentum and motion in collisions.

mandy9008
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Homework Statement


A 0.028 kg bullet is fired vertically at 165 m/s into a 0.15 kg baseball that is initially at rest. How high does the combined bullet and baseball rise after the collision, assuming the bullet embeds itself in the ball?


Homework Equations


mv + mv = mv + mv


The Attempt at a Solution


m1 = 0.028 kg
v1 = 165 m/s
m2 = 0.15 kg
v2i = 0 m/s

(0.028 kg)(165 m/s) + (0.15 kg)(0 m/s) = (0.178 kg) vf
vf=25.96 m/s

v2=vo2 - 2gy
25.962 = - 2(9.8 m/s2)y
y=693.5m
 
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mandy9008 said:
v2=vo2 - 2gy
25.962 = - 2(9.8 m/s2)y
y=693.5m

That does not give 693.5 m. Recheck it.
 
ah, i subtracted instead of divided. man, i feel silly now! thank you! when I divided, i got 34.4m, which is correct :)
 

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