can someone please solve problem 1 real fast and, Daniel (mass 69,2 kg) and Rebe

Question

can someone please solve problem 1 real fast

and, Daniel (mass 69,2 kg) and Rebecca (mass 50,8 kg) are practicing. Daniel stops to tie After the while at rest, is struck by Rebecca, who is moving at 13.2 before she collides with him. direction. sion, ebecca has a velocity of magn ude 6,3 m/s at a angle or 53.7" from her initial Both R skaters move the frictionless, horizontal surface of the rink (a) What are the magnitude and direction of Daniels 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

given that

mass of the daniel m1=69.2 kg

mass of the rebecca m2=50.8 kg

initial velocity of daniel u1=0 m/s

initial velocity of rebecca u2=13.2 m/s

finial velocity of rebecca V2=6.3 m/s

angle=53.7 degree

now we find the angle and velocity of daniel after collision

law of conservation of x-axis

69.2*0+50.8*13.2=69.2*u1 cos(theta1)+50.8*6.3*cos(53.7)

670.56=189.5+69.2v1 cos(theta1)

v1 cos(theta1)=6.952..................(1)

law of cvonservation of y-axis

69.2V1sin(theta1)=50.8*6.3*sin(53.7)

V1sin(theta1)=3.73......................(2)

adding and squareing on both sides

V1^2=[6.952^2+3.73^2]

V1=7.9 m/s

dividing the eq1&eq2 we gat angle

theta1=tan^-1[3.73/6.95]=28.2 degree

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