What Is the Momentum of a Ball at Its Maximum Height?

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SUMMARY

The momentum of a 0.15 kg ball thrown straight up with an initial speed of 17 m/s at its maximum height is zero. At maximum height, the velocity of the ball is 0 m/s due to the effect of gravity, which decelerates the ball until it stops momentarily before falling back down. The formula for momentum, defined as momentum = mass x velocity, confirms that with a velocity of 0 m/s, the momentum is also 0 kg·m/s.

PREREQUISITES
  • Understanding of basic physics concepts, specifically momentum.
  • Familiarity with the equations of motion under constant acceleration.
  • Knowledge of gravitational acceleration, specifically 9.81 m/s².
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the concept of momentum in detail, focusing on its calculation and implications in physics.
  • Learn about the equations of motion, particularly how they apply to objects in free fall.
  • Explore the effects of gravity on projectile motion and how it influences velocity and momentum.
  • Investigate real-world applications of momentum in sports and engineering contexts.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of momentum and projectile motion in a gravitational field.

KatieLynn
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Homework Statement



A 0.15kg ball of dough is thrown straight up into the air with an initial speed of 17 m/s. The acceleration due to gravity is 9.81 m/s^2. What is its momentum at its maximum height?


Homework Equations



momentum=mass X velocity

change in momentum= mass (FinalVelocity - InitialVelocity)


The Attempt at a Solution



momentum = (0.15)(VF - 17)

but there are two unknowns, I'm not even sure that's what the problem is asking for though...
 
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KatieLynn said:

Homework Statement



A 0.15kg ball of dough is thrown straight up into the air with an initial speed of 17 m/s. The acceleration due to gravity is 9.81 m/s^2. What is its momentum at its maximum height?


Homework Equations



momentum=mass X velocity

change in momentum= mass (FinalVelocity - InitialVelocity)


The Attempt at a Solution



momentum = (0.15)(VF - 17)

but there are two unknowns, I'm not even sure that's what the problem is asking for though...
In this and your previous momentum questions, you keep referencing 'change in momentum' in your relevant equations,yet the problems do not ask for momentum change, they just ask for momentum. In this problem, what is the velocity of the ball when it reaches its maximum height?
 

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