- Whenever I solve this, I find the angle to be 25.5 degrees and Daniel\'s final

Question

-Whenever I solve this, I find the angle to be 25.5 degrees and Daniel's final velocity to be 9.06 m/s. I feel like I've done everything right but the answer sheet given by my professor says the angle should be 27.5 degrees and have a final velocity of 8.56 m/s. WHAT AM I DOING WRONG?!

A. What is the magnitude of Daniel's velocity after the collision?

B. What is the direction of Daniel's velocity after the collision?

C. What is the change in total kinetic energy of the two skaters as a result of the collision?

Explanation / Answer

a). from momentum conservation; 55*16 = 55*7*cos(54.1) + 80*Vx => Vx = 8.178 m/s along the initial direction again from momentum conservation; 55*7*sin(54.1) = 80Vy => Vy = 3.898 m/s perpendicular to the initial direction magnitude of velocity = sqrt[(8.178)^2 + (3.898)^2] = 9.059 m/s b). tan(theta) = 3.898/8.178 => theta = 25.5 degrees from the initial direction c). change in K.E. = 0.5*55*7^2 + 0.5*80*(9.059)^2 - 0.5*55*16^2 = -2409.88 J

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