Momentum Problem involving projectile.

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SUMMARY

The discussion focuses on calculating the initial speed of a dart fired into a block of wood using principles of physics, specifically momentum and projectile motion. The dart has a mass of 5.6 g and the wood block has a mass of 24.3 g, with the block initially at rest on a 2.5 m tall post. After the collision, the combined system lands 2.7 m from the base of the post. The participant calculated the time of flight as 0.714 seconds and the velocity as 3.78 m/s but required further assistance to complete the problem.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with projectile motion equations
  • Knowledge of kinematic equations for vertical motion
  • Ability to perform unit conversions (grams to kilograms)
NEXT STEPS
  • Study the conservation of momentum in elastic and inelastic collisions
  • Learn how to apply the kinematic equations for projectile motion
  • Research the derivation and application of the delta Y equation in physics
  • Explore examples of solving projectile motion problems with varying initial conditions
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Physics students, educators, and anyone interested in understanding projectile motion and momentum calculations in real-world scenarios.

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1.

A 5.6 g experimental dart is fired into a block
of wood with a mass of 24.3 g. The wood
block is initially at rest on a 2.5 m tall post.
After the collision, the wood block and dart
land 2.7 m from the base of the post.
Find the initial speed of the dart. Answer
in units of m/s.


2.
Equations I used were: delta Y equation, Velocity equation, and the momentum formula.



3.
I solved for time and got .714 seconds. Then I found Velocity=3.78. Then I get lost and don't know what to do next.
 
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It would be a lot easier for us to show you what to do next if you post what you did first. That way we don't have to solve the problem from scratch to see if your numbers are correct.
 

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