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Skater 1 has a mass of 105.0 kg and a velocity of 2.0 m/s to the left. He
collides with Skater 2, who has a mass 71.0 kg and a velocity of 5.0 m/s to
the right. After they collide, Skater 2 has a velocity of 3.4 m/s to the left. What
is the final velocity of Skater 1?
O A. 3.7 m/s to the right
B. 0.9 m/s to the right
O C. 3.7 m/s to the left
O D. 0.9 m/s to the left
SUBMIT

Respuesta :

asuwafohjames

The final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.

What is velocity?

Velocity can be defined as the ratio of the displacement and time of a body.

To calculate the final velocity of Skater 1 we use the formula below.

Formula:

  • mu+MU = mv+MV............ Equation 1

Where:

  • m = mass of the first skater
  • M = mass of the second skater
  • u = initial velocity of the first skater
  • U = initial velocity of the second skater
  • v = final velocity of the first skater
  • V = final velocity of the second skater.

make v the subject of the equation.

  • v = (mu+MU-MV)/m................ Equation 2

Note: Let left direction represent negative and right direction represent positive.

From the question,

Given:

  • m = 105 kg
  • u = -2 m/s
  • M = 71 kg
  • U = 5 m/s
  • V = -3.4 m/s.

Substitute these values into equation 2

  • v = [(105×(-2))+(71×5)-(71×(-3.4))]/105
  • v = (-210+355+241.4)/105
  • v = 386.4/105
  • v = 3.68 m/s
  • v ≈ 3.7 m/s

Hence, the final velocity of skater 1 is 3.7 m/s to the right. The right option is O A. 3.7 m/s to the right.

Learn more about velocity here: https://brainly.com/question/25749514

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