A 2200-kg van traveling north along the interstate at 25 m/s is involved in a perfectly inelastic collision with a 1500-kg automobile driven by a careless motorist who emerges at a speed of 15 m/s form an entrance ramp that makes an angle of 20 degrees with the highway. Find the magnitude and direction of the velocity of the combined wrecked vehicles.
The equation for inelastic collisions
The Attempt at a Solution
What I did was find the sum of all the momentum in the x direction so
15 cos (20) * 1500 = 21143.08397
and the sum of all the momentum in the y direction so
15 sin (20) *1500 + 25(2200) = 62695.45322
and then I did tanθ = 62695.45322/21143.08397
then I did inverse tan to find theta and got 71 degrees. The correct answer is 5.78° relative to the vans original direction.