Problem 6: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 4.2i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of 0 = 29° and the six ball is deflected by an angle of = 31°, as shown in the figure. y V Ф

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Please answer question 6

Problem 6: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a
velocity v = 4.2i m/s. It strikes the six ball inelastically, which has an identical mass
and is initially at rest. After the collision the eight ball is deflected by an angle of 0 =
29° and the six ball is deflected by an angle of Þ = 31°, as shown in the figure.
y
8
V
Ф
Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight
ball's initial velocity, v.
Expression :
V2 =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(4), cos(0), cotan(0), 1, sin(a), sin(Þ), sin(0), tan(0), w, a, ß, 0, d, g, h, m, t, tan(4), v
Part (b) What is the magnitude of the velocity, in meters per second, of the six ball?
Numeric : A numeric value is expected and not an expression.
v2 =
Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision?
Numeric : A numeric value is expected and not an expression.
v1 =
Transcribed Image Text:Problem 6: The eight ball, which has a mass of m = 0.5 kg, is initially moving with a velocity v = 4.2i m/s. It strikes the six ball inelastically, which has an identical mass and is initially at rest. After the collision the eight ball is deflected by an angle of 0 = 29° and the six ball is deflected by an angle of Þ = 31°, as shown in the figure. y 8 V Ф Part (a) Write an expression for the magnitude of six ball's velocity, in terms of the angles given in the problem and the magnitude of the eight ball's initial velocity, v. Expression : V2 = Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cotan(0), 1, sin(a), sin(Þ), sin(0), tan(0), w, a, ß, 0, d, g, h, m, t, tan(4), v Part (b) What is the magnitude of the velocity, in meters per second, of the six ball? Numeric : A numeric value is expected and not an expression. v2 = Part (c) What is the magnitude of the velocity of the eight ball, in meters per second, after the collision? Numeric : A numeric value is expected and not an expression. v1 =
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