A 10.0 kg and a 2.0 kg cart approach each other on a horizontal frictionless air track. Their
total kinetic energy before collision is 96 ). Assume their collision is elastic. What is the
final speed in m/s of the 10.0 kg mass if that of the 2.0 kg mass is 8.0 m/s? (Hint: There are
2 conditions for elastic collisions.)

the  final speed in m/s of the 10.0 kg is 2.53 m/s .

Step-by-step explanation:

Here we have , A 10.0 kg and a 2.0 kg cart approach each other on a horizontal friction less air track. Their  total kinetic energy before collision is 96 ). Assume their collision is elastic. We need to find What is the  final speed in m/s of the 10.0 kg mass if that of the 2.0 kg mass is 8.0 m/s . Let's find out:

We know that in an elastic collision :

⇒ Total kinetic energy before collision  = Total kinetic energy after collision

⇒

⇒

⇒

⇒

⇒

⇒

Therefore , the  final speed in m/s of the 10.0 kg is 2.53 m/s .

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.