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olchik [2.2K]
3 years ago
13

A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s.

Physics
2 answers:
BARSIC [14]3 years ago
5 0
Assuming that the collision is inelastic that is they are stuck together after the collision, momentum is conserved. We can determine the final velocity of the final mass as follows:

m1v1 + m2v2 = m3v3
100(4) + (200)(-3) = (300)v3
v3 = -0.6667 m/s

Therefore, the final mass moves at 0.6667 m/s to the left.
Andrew [12]3 years ago
5 0

The speed of the combined balls after the collision is about 0.67 m/s to the left

\texttt{ }

<h3>Further explanation</h3>

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.

\large {\boxed {F = ma }

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

\texttt{ }

<em><u>Complete Question:</u></em>

<em>A 100 g ball moving to the right at 4.0 m/s collides head-on with a 200 g ball that is moving to the left at 3.0 m/s.</em>

<em>If the collision is </em><em>perfectly inelastic</em><em>, what is the speed of the combined balls after the collision? What is the direction of the combined balls after the collision?</em>

<u>Given:</u>

mass of first ball = m₁ = 100 g

mass of second ball = m₂ = 200 g

initial speed of first ball = u₁ = 4.0 m/s <em>( + sign means right direction )</em>

initial speed of second ball = u₂ = -3.0 m/s <em>( - sign means left direction )</em>

final speed of both balls = v₁ = v₂ = v <em>( perfectly inelatic collision )</em>

<u>Asked:</u>

final speed of both balls = ?

<u>Solution:</u>

<em>We will use </em><em>Conservation of Momentum Law </em><em>as follows:</em>

m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2

100(4.0) + 200(-3.0) = 100v + 200v

400 - 600 = 300v

-200 = 300 v

v = -200 \div 300

v = -\frac{2}{3} \texttt{ m/s}

\boxed{v \approx -0.67 \texttt{ m/s}}

\texttt{ }

<h3>Conclusion :</h3>

Both balls are moving to the left at about 0.67 m/s.

\texttt{ }

<h3>Learn more</h3>
  • Impacts of Gravity : brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
  • The Acceleration Due To Gravity : brainly.com/question/4189441
  • Newton's Law of Motion: brainly.com/question/10431582
  • Example of Newton's Law: brainly.com/question/498822

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Dynamics

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