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ne billiard ball is shot east at 2.09 m/s. A second,identical billiard ball is s

ID: 1677503 • Letter: N

Question

ne billiard ball is shot east at 2.09 m/s. A second,identical billiard ball is shot west at 1.27 m/s. Theballs have a glancing collision, not a head-on collision,deflecting the second ball by 90 degree and sending it northat 1.62 m/s. What is the speed of the first ball after thecollision? What is the direction of the first ball after thecollision? Give the direction as an angle south of east. ne billiard ball is shot east at 2.09 m/s. A second,identical billiard ball is shot west at 1.27 m/s. Theballs have a glancing collision, not a head-on collision,deflecting the second ball by 90 degree and sending it northat 1.62 m/s. What is the speed of the first ball after thecollision? What is the direction of the first ball after thecollision? Give the direction as an angle south of east. What is the speed of the first ball after thecollision? What is the direction of the first ball after thecollision? Give the direction as an angle south of east. What is the speed of the first ball after thecollision? What is the direction of the first ball after thecollision? Give the direction as an angle south of east.

Explanation / Answer

let us fix positive X direction along east and positive Y direction along north as the change in momentum of first ball= -change in momentum of the second ball= -m(1.62j-(-1.27i))=m(v-2.09i) solving we get v as 0.82i-1.62j magnitude =1.815m/sec direction is 63.15 degrees south of east