What is the momentum at its maximum height?

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SUMMARY

The momentum of a 0.12 kg ball of dough thrown straight up with an initial speed of 11 m/s reaches zero at its maximum height due to the complete conversion of kinetic energy into potential energy. The acceleration of gravity is 9.8 m/s², which affects the ball's upward motion. To calculate momentum at any point, the formula p = mv must be used, where p is momentum, m is mass, and v is velocity. At maximum height, the velocity is zero, resulting in a momentum of 0 kg m/s.

PREREQUISITES
  • Understanding of basic physics concepts such as momentum and kinetic energy.
  • Familiarity with the formula for momentum (p = mv).
  • Knowledge of gravitational acceleration (9.8 m/s²).
  • Ability to perform calculations involving mass and velocity.
NEXT STEPS
  • Study the principles of energy conservation in projectile motion.
  • Learn how to calculate momentum at various points in a projectile's trajectory.
  • Explore the effects of different masses and initial velocities on momentum.
  • Investigate the relationship between potential energy and kinetic energy in vertical motion.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of projectile motion.

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Homework Statement


What is its momentum halfway to its maximum height? Answer in units of kg m/s

A 0.12 kg ball of dough is thrown straight up into the air with an initial speed of 11 m/s. The acceleration of gravity is 9.8 m/s^2. What is the momentum at its maximum height? Answer in units of kg/ms. Answer is 0.


Homework Equations


tried to do 0.12x11/4.9 but was wrong.


The Attempt at a Solution

 
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What variables would you need to know to be able to calculate the momentum of an object?

(I think you probably already know this from your attempt, but it's always better to write out the equation you are using explicitly, then put numbers in. Doing this helps you spot what you actually need to do - which variables you already know and which you need to find out somehow.)

Then: how would you calculate each of these variables if you were doing a question that asked for values of each of the variables individually. (You may already have values for one or more of the variables.)

Once you've done that, you can put it back together.
 

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