Can someone check my work please, thank you.

[nesan]

Can someone check my work please, thank you. :)

Homework Statement

A hockey player of mass 85 kg traveling at 15 m/s [N] collides with another hockey player of mass 70 kg at 5.0 m/s [E]. If the two hockey players lock skates during the collision and are held together, find the resultant velocity of the pair. Assume there is no friction.

Homework Equations

Ʃinitialρ = Ʃfinalρ

3. Solution, I feel like it is wrong because my answer is 0.2 off what it is in the textbook, I have no idea what decimal place they took. :(

(70) * (5) = (155) (v * cosθ)

(85) * (15) = 155(v * sinθ)

---------------------------

350 = (155) (v * cosθ)

1275 = 155(v * sinθ)

------------------

sqrt((350)^2 + (1275)^2) ≈ 1322.17

1322.17 / 155 ≈ 8.5 m/s [N15°E]

The answer in the textbook is 8.3 m/s [N16°E]

Someone check if I'm correct please. Thank you. :)<3

 

[PhanthomJay]

I get your answer.

 

[nesan]

I get your answer.

Yay! :)

Textbook's wrong again. xD