Two hockey pucks are moving toward each other. The mass of the first puck is half the mass of the second puck. Initially, the first puck is going at a speed of 5.0 m/s to the right, while the second puck is going at a speed of 2.0 m/s. The first puck rebounds with a speed of 9.0 m/s. What is the final speed of the second puck

Respuesta :

The final speed of the second puck is 5 m/s.

What is speed?

Speed can be defined as the rate of change of distance with respect to time.

To calculate the final speed of the second puck, we use the formula below.

Formula:

  • mu+m'u' = mv+m'v'................ Equation 1

Where:

  • m = mass of the first puck
  • m' = mass of the second puck
  • u = initial velocity of the first puck
  • u = initial velocity of the second puck
  • v = final velocity of the first puck
  • v' = final velocity of the second puck.

Make v' the subject of the equation

  • v' = (mu+m'u'-mv)/m'.............. Equation 2

Assuming,

  • The mass of the first puck is y
  • The left direction is negative and the right direction is positive

From the question,

Given:

  • m = y
  • m' = 2y
  • u = 5 m/s
  • u' = -2 m/s
  • v = -9 m/s ( rebounds)

Substitute these values into equation 2

  • v' = [(y×5)+(2y×(-2))-(y×(-9))]/2y
  • v' = (5y-4y+9y)/2y
  • v' = 10y/2y
  • v' = 5 m/s

Hence, The final speed of the second puck is 5 m/s.

Learn more about speed here: https://brainly.com/question/6504879