can someone please solve problem 1 both parts on paper and show work.Please do o

Question

can someone please solve problem 1 both parts on paper and show work.Please do on a paper and show work.Thank you

In the next problems get full credit. you need to show your work in full detail to PROBLEM 1 6 POINTS) Two ice skaters, Daniel (mass 69.2 Daniel to and Rebecca (mass 50.8 kg) m/s before tie his shoelace and, while rest, who is moving at 13.2 she collides with him. After the is struck by Rebecca, of collision, Rebecca has a veloci magnitude 6.3 m/s at a angle of 53.7o from her initial direction. Both move on the friction less, horizontal surface of the rink. (a) What are the magnitude and direction of Daniel's velocity after the collision? (b) what is the change in total kinetic energy of the two skaters as a result of the collision?

Explanation / Answer

A) Let v = Daniel's velocity after the collision at an angle with Rebecca's original direction.

As no external force acted during the collision, initial and final linear momenta of Daniel and Rebecca in the original direction of Rebecca's motion and in a direction perpendicular to it will be the same.

=> (50.8) * (13.2) = (50.8) * (6.3) * cos(53.7°) + (69.2) * v cos
=> v cos = 6.95 ... (1)
and (50.8) * (6.3) * sin(53.7°) = (69.2) * v sin
=> v sin = 3.73 ... (2)

Squaring and adding equations (1) and (2),
v^2 = 62.2 => v = 7.89 m/s.
and tan = (3.73)/(6.95) = 0.5367 => = 28.22°

B) Change in KE
= (1/2) [ (50.8) * (13.2)^2 - (50.8)*(6.3)^2 - (69.2)(7.89)^2 ] J
= (1/2) [ 8851.4 - 2016.25 - 4307.85 ] = 1263.65 J.

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