- #1
Johnson1704
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Homework Statement
Jack (mass 59.0 kg ) is sliding due east with speed 8.00 m/s on the surface of a frozen pond. He collides with Jill (mass 46.0 kg ), who is initially at rest. After the collision, Jack is traveling at 5.00 m/s in a direction 34.0∘ north of east. Ignore friction.
Homework Equations
What is the direction of the Jill's velocity after the collision?
What is the magnitude of the Jill's velocity after the collision?
The Attempt at a Solution
use conservation of energy because it is an elastic collision (don't stick together)
.5*m_jack*v_jack_i + .5*m_jill*v_jill_i = .5*m_jack*v_jack_f + .5*m_jill*v_jill_f
.5*(59)*(8) + .5*(46)*(0) = .5*(59)*(5cos(34)) + .5*(46)*(v_jill_f)
236 + 0 = 122.283 + 23*(v_jill_f)
236 - 122.283 = 23*(v_jill_f)
v_jill_f = 4.9442 m/s in x direction
BUT WHAT ANGLE IS SHE MOVING AT?? - so i can find the hypotenuse. v_jill_f would really be 4.9442/cos(angle))