Finding Momentum of 0.12 kg Ball Thrown Upward at 20 m/s

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SUMMARY

The momentum of a 0.12 kg ball thrown upward at an initial speed of 20 m/s is calculated to be approximately 1.70 kg*m/s at halfway to its maximum height. The maximum height (hmax) is determined using the formula hmax = Vi^2 / 2g, resulting in a height of approximately 20.39 m. The final velocity (Vf) at this halfway point is calculated using the equation Vf^2 = Vi^2 + 2ad, yielding a value of approximately 14.14 m/s. The calculations confirm the correct application of kinematic equations for projectile motion.

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  • Understanding of kinematic equations in physics
  • Knowledge of momentum calculation (p = mv)
  • Familiarity with gravitational acceleration (9.81 m/s^2)
  • Ability to perform square root calculations
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  • Explore the concept of energy conservation in vertical motion
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Homework Statement



A 0.12 kg ball of dough is thrown straight up into the air with an initial speed of 20 m/s.
Acceleration of gravity is 9.81 m/s^2

What is its momentum halfway to its maximum height on the way up? Answer in kg*m/s
(Don't worry about sigfigs)

Homework Equations



hmax= Vi^2 / 2g
Vf^2 = Vi^2 + 2ad

The Attempt at a Solution



hmax = (20)^2 / 2(9.81)
hmax = 400 / 19.62
hmax = 20.38735984 m

Since we are finding the halfway momentum you divide that by 2
20.38735984 / 2 = 10.19367992 m

Vf^2 = Vi^2 + 2ad
Vf^2 = (20)^2 + 2(-9.81)(10.19367992)
Vf^2 = 400 + - 200
Vf^2 = 200
Vf = square root of 200 = 14.14213562 m/s

p = mv
p = (0.12)(14.14213562)
p = 1.697056275 kg*m/s

Did I do this right?
 
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