How Does Momentum Relate to Gravity in Falling Objects?

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SUMMARY

The discussion centers on calculating the acceleration due to gravity for a falling object, specifically a 2kg ball thrown off a 30m cliff with a momentum of 110 kg*m/s. The correct approach involves using the momentum formula p=mv to first determine the velocity of the ball upon impact. Subsequently, basic kinematics equations can be applied to find the acceleration due to gravity, which is established as 9.81 m/s², not the incorrectly calculated 55 m/s² from the initial attempt.

PREREQUISITES
  • Understanding of momentum (p=mv)
  • Basic kinematics equations
  • Newton's second law (F=ma)
  • Concept of gravitational acceleration (9.81 m/s²)
NEXT STEPS
  • Study the derivation of gravitational acceleration using kinematics
  • Learn how to apply the momentum formula in different scenarios
  • Explore the relationship between force, mass, and acceleration in various contexts
  • Investigate the effects of air resistance on falling objects
USEFUL FOR

Students in physics, educators teaching mechanics, and anyone interested in understanding the principles of motion and gravity in real-world applications.

kevinli
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Homework Statement


A ball with a mass of 2kg is trown off a cliff 30m high and hits the ground with a momentum of 110 kg*m/s^2. What is the acceleration of gravity pulling on the ball?


Homework Equations


F=ma and I'm not sure what else.


The Attempt at a Solution


I probably messed up.
a=F/m
a=110N/2kg
a=55m/s^2
 
Physics news on Phys.org
Momentum is not equal to force
p=mv, use this equation to solve it
where p(momentum) is N·s
 
You don't need F=ma.

As Suy said, use p=mv. That'll give you velocity; then just use your basic kinematics equations to find a.
 

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