Respuesta :

SJ2006

We know, momentum = mass * speed

25kgm/s = 2 kg * s

s = 25/2 = 12.5 m/s

The ball's speed is about 13 m/s

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Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\large {\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

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[tex]\large {\boxed {F = \frac{\Delta p}{t} }[/tex]

F = Force ( Newton )

p = Momentum of Object ( kg m/s )

t = Time Taken ( s )

Let us now tackle the problem !

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Given:

mass of ball = m = 2.0 kg

momentum of ball = p = 25 kgm/s

Asked:

speed of the ball = ?

Solution:

We could use formula for momentum to solve this problem:

[tex]p = m v[/tex]

[tex]v = p \div m[/tex]

[tex]v = 25 \div 2.0[/tex]

[tex]v = 12.5 \texttt{ m/s}[/tex]

[tex]v \approx 13 \texttt{ m/s}[/tex]

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Conclusion :

The ball's speed is about 13 m/s

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Learn more

  • Impacts of Gravity : https://brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454
  • The Acceleration Due To Gravity : https://brainly.com/question/4189441
  • Newton's Law of Motion: https://brainly.com/question/10431582
  • Example of Newton's Law: https://brainly.com/question/498822

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Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

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