Two balls of different radii, 53 cm and 26 cm move directly toward each other with the same speed. If they are originally at a center-to-center distance 223 cm and it takes them 18.9 s to collide, how fast were the balls moving?

Respuesta :

Answer:

[tex]v = 3.81\ m/s[/tex]

Explanation:

given,

Radius of the ball, r₁ = 53 cm

Radius of another ball, r₂ = 26 cm

center to center distance between the balls = 223 cm

time, t = 18.9 s

surface to surface distance between them

S = 223 - (53+26)

S = 144 cm

Speed of the ball = ?

[tex]relative\ speed = \dfrac{distance}{time}[/tex]

[tex]2 v = \dfrac{144}{18.9}[/tex]

both the balls are moving towards each other so, speed doubles.

[tex]v= \dfrac{7.62}{2}[/tex]

[tex]v = 3.81\ m/s[/tex]

Speed of the balls is equal to 3.81 m/s

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