Object a travels in the +x-direction before hitting a stationary object
b. afterwards, object a’s x-momentum is 5.7 × 104 kilogram meters/second and its y-momentum is 6.2 × 104 kilogram meters/second. what is the object’s resultant angle of motion with the +x-axis after the collision?

Respuesta :

The object’s resultant angle of motion with the +x-axis after the collision is 47°

From object A:
 
1) x-momentum is 5.7 × 10^4 kilogram meters/second,
2) y-momentum is 6.2 × 10^4 kilogram meters/second.
 
Now, we know, tan
Ф = [tex] \frac{y}{x} [/tex]

⇒tanФ = [tex] \frac{6.2 × 10^4 }{5.7 × 10^4} [/tex]

⇒tanФ = 1.088

⇒ Ф = [tex] tan^{-1} [/tex] 1.088 
         =  47.4 ≈ 47

Answer: C

Explanation: