physics

A billiard ball moving at 4.0 m/s strikes a pair of billiard ball at rest. One of the ball moves off at 2.0 m/s in a direction 60 degrees from the line of motion of the first ball and the other moves off at 3.0 m/s in a direction 30 degrees from the line of the first ball on the other side. What is the velocity of the first ball after the collision?

  1. 👍 0
  2. 👎 0
  3. 👁 333
  1. M1*V1 + M2*V2 + M3*V3 = M1*V + M2*2[60o]
    + M3*3[30o]

    M1 = M2 = M3?
    M1*V1 + M1*V2 + M1*V3 = M1*V + M1*2[60o]
    + M1*3[30o]

    M1*4 + M1*0 + M1*0 = M1*V + M1*2[60] +
    M1*3[30]
    Divide both sides by M1:
    4 = V + 2[60] + 3[30]
    4 = V + 2*Cos60 + 2*sin60 + 3*Cos30 + 3*sin30
    4 = V + 1 + 1.73i + 2.60 + 1.5i
    4 = V + 3.60 + 3.23i
    -V = - 0.4 + 3.23i
    V = 0.4 - 3.23i
    V^2 = 0.4^2 + 3.23^2 = 10.59
    V = 3.25 m/s.

    1. 👍 0
    2. 👎 1

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    A billiard ball is struck by a cue. it travels 100 centimeters before ricocheting off a rail forming a 45 degree angle and traveling another 120 centimeters into a corner pocket. How far apart is the initial position of the ball

    asked by Hailey Lepire on May 15, 2017
  2. physics

    A billiard ball rolling across a table to the right at 2.2 m/s makes a head-on elastic collision with an identical ball. The mass of a billiard ball is 36 g. If the second ball is initially at rest, what is the velocity of the

    asked by sidney on October 12, 2011
  3. Physics

    A billiard ball traveling at 3.00 m/s collides perfectly elastically with an identical billiard ball initially at rest on the level table. The initially moving billiard ball deflects 30.0° from its original direction. What is the

    asked by Billy on November 13, 2014
  4. physics

    A 0.50 kg cue ball makes a glancing blow to a stationary 0.50 kg billiard ball. After the collision the cue ball deflects with a speed of 1.2 m/s at an angle of 30.0° from its original path. Calculate the original speed of the

    asked by grey on June 4, 2014
  5. Physics

    A white billiard ball with mass mw = 1.43 kg is moving directly to the right with a speed of v = 3.4 m/s and collides elastically with a black billiard ball with the same mass mb = 1.43 kg that is initially at rest. The two

    asked by MUHAMMAD JUNAID on March 26, 2019
  1. physics

    croquet ball must have a set mass of 0.50 kg. a red ball moving at 10.0 m/s, strikes an at-rest green ball head on. The red ball continues moving at 1.5 m/s after it hits the green ball. What is the final speed of the green ball?

    asked by Jean on May 15, 2014
  2. Trigonometry

    A billiard ball is struck by a cue. It travels 100 centimeters before ricocheting off a rail forming a 45 degree angle and traveling another 120 centimeters into a corner pocket. how far is the initial position of the ball from

    asked by Hailey Lepire on May 15, 2017
  3. physics college

    A billiard ball that is initially at rest is given a sharp blow by a cue stick. The force is horizontal and is applied at a distance h = 2R/3 below the centerline, The speed of the ball just after the blow is v0 and the

    asked by lost on May 16, 2012
  4. Physics

    1. A stationary curling stone is struck in a glancing collision by a second curling stone of equal mass. If the first stone moves away at a velocity of 0.92 m/s [N71oW] and the second stone moves away at a velocity of 1.25 m/s

    asked by Ryback on January 18, 2016
  5. Physics

    While playing a game of billiards, your 0.50 kg cue ball, travelling at 1.9 m/s, glances off a stationary 0.30 kg billiard ball so that the billiard ball moves off at 1.3 m/s at an angle of 32º clockwise from the cue ball’s

    asked by Jong on June 23, 2013
  6. Physics

    A billiard ball strikes and rebounds from the cushion of a pool table perpendicularly. The mass of the ball is 0.38 kg. The ball approaches the cushion with a velocity of +2.10 m/s and rebounds with a velocity of -2.00 m/s. The

    asked by Cheng on October 7, 2012

You can view more similar questions or ask a new question.