Answer any four. Show detailed steps 1. A billiard ball moving with speed 3.0 m/s in the +x direction strikes an equal-mass ball initialy at rest The two balls are observed to move at 45°, ball 1 above the x-axis and ball 2 below What are the speeds of the two balls after the collision? th a veiority of 3.62 mis on a frictionless, level air
Solution
will divide the problem into two motions; motion along x and motion along y
along x
using conservation of linear momentum
m(3)+ m(0) = m(v1 * cos45)+m(v2 * cos45)
giving, v1 + v2 = 3*sqrt(2)____________(1)
along y
using conservation of linear momentum
0 = m(v1 * sin45)-m(v2 * sin45)
giving, v1 = v2______________________(2)
using 1 and 2
v1=v2= 3/sqrt(2)
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Answer any four- Show detailed steps 1- A billiard ball moving with sp.docx
1. Answer any four. Show detailed steps 1. A billiard ball moving with speed 3.0 m/s in the +x
direction strikes an equal-mass ball initialy at rest The two balls are observed to move at 45°,
ball 1 above the x-axis and ball 2 below What are the speeds of the two balls after the collision?
th a veiority of 3.62 mis on a frictionless, level air
Solution
will divide the problem into two motions; motion along x and motion along y
along x
using conservation of linear momentum
m(3)+ m(0) = m(v1 * cos45)+m(v2 * cos45)
giving, v1 + v2 = 3*sqrt(2)____________(1)
along y
using conservation of linear momentum
0 = m(v1 * sin45)-m(v2 * sin45)
giving, v1 = v2______________________(2)
using 1 and 2
v1=v2= 3/sqrt(2)
