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A running back with a mass of 74 kg and a speed of 9 m/s collides with, and is held by, a 111-kg defensive tackle going in the opposite direction. How fast must the tackle be going before the collision for their speed afterward to be zero? in m/s

A running back with a mass of 74 kg and a speed of 9 ms collides with and is held by a 111kg defensive tackle going in the opposite direction How fast must the class=

Respuesta :

hamzaahmeds

This question involves the concepts of the law of conservation of momentum.

The tackle must be moving with a velocity of "6 m/s".

LAW OF CONSERVATION OF MOMENTUM:

According to the Law of Conservation of Momentum, the total momentum of an isolated system always remains constant. Therefore,

[tex]Total\ Momentum\ Before\ Collision =Total\ Momentum\ After\ Collision \\\\m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

where,

  • m₁ = mass of running back = 74 kg
  • m₂ = mass of tackle = 111 kg
  • u₁ = speed of the running back before collision = 9 m/s
  • u₂ = speed of tackle before collision = ?
  • v₁ = speed of the running back after collision = 0 m/s
  • v₂ = speed of tackle after collision = 0 m/s

Therefore,

[tex](74\ kg)(9\ m/s)+(111\ kg)(u_2)=(74\ kg)(0\ m/s)+(111\ kg)(0\ m/s)\\\\u_2=\frac{-(74\ kg)(9\ m/s)}{111\ kg}[/tex]

u₂ = - 6 m/s

negative sign shows opposite direction.

Learn more about the Law of Conservation of Momentum here:

https://brainly.com/question/1113396

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