Answer:
137 J
Explanation:
Momentum is conserved, so:
(2.10)(13.0) + (6.50)(-4.10) = (2.10)(-8.20) + (6.50) v
v = 2.75 m/s
Energy before collision:
E = 1/2 (2.10) (13.0)² + 1/2 (6.50) (4.10)²
E = 232 J
Energy after collision:
E = 1/2 (2.10) (8.20)² + 1/2 (6.50) (2.75)²
E = 95.2 J
Energy lost in collision:
232 J - 95.2 J = 137 J