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Consider a head-on elastic collision between two objects. Object 1, which has mass m1, is initially in motion, and collides head-on with object 2, which has mass m2, and is initially at rest. Which of the following statements about the collision are true?A) |p1,final| < |p1,initial|B) If m1 >> m2, then the final speed of object 2 is less than the initial speed of object 1.C) If m2 >> m1, then |delta p1| > |delta p2|D) If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.E) p1,initial = p1,final + p2,final

Respuesta :

Answer:

A)[tex](P_1)_{final} < (P_2)_{final}[/tex]

D) If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.

E) p1,initial = p1,final + p2,final

Explanation:

As we know that there is no external force on this system so total momentum of the system is always conserved

So we have

[tex]P_{1i} = P_{1f} + P_{2f}[/tex]

so we can say that change in momentum of two object must be same for two objects

[tex]\Delta P_1 = \Delta P_2[/tex]

now we also know that for elastic collision

[tex]v_{1i} = v_{2f} - v_{1f}[/tex]

so we have

[tex]v_{1f} = \frac{m_1 - m_2}{m_1 + m_2} v_{1i}[/tex]

[tex]v_{2f} = \frac{2m_1v_{1i}}{m_1 + m_2}[/tex]

so if we say that

[tex]m_2 >>> m_1[/tex]

[tex]v_{1f} = - v_{1i}[/tex]

[tex]v_{2f} ~ 0[/tex]

so correct answers are

A)[tex](P_1)_{final} < (P_2)_{final}[/tex]

since first particle transfer its momentum to 2nd particle so here its final momentum must be smaller than its initial momentum

D) If m2 >> m1, then the final speed of object 1 is greater than the final speed of object 2.

E) p1,initial = p1,final + p2,final

temdan2001

Since momentum p is always conserved, the statements about the collision which are true are option B and E

COLLISION

There are four types of collision. Namely

  • Elastic collision
  • Inelastic collision
  • Perfectly elastic collision
  • Perfectly inelastic collision

Momentum and kinetic energy are conserved in elastic collision but in inelastic collision, only momentum is conserved while kinetic energy is not.

To consider a head-on elastic collision between two objects. Object 1, which has mass m1, is initially in motion, and collides head-on with object 2, which has mass m2, and is initially at rest.

The statements about the collision which are true

  • If m1 >> m2, then the final speed of object 2 is less than the initial speed of object 1

and

  • p1,initial = p1,final + p2,final ( Since momentum p is always conserved)

Therefore, the statements about the collision which are true are option B and E

Learn more about Collision here: https://brainly.com/question/4403635

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