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A cat is running at 8.0 m/s and trying to catch a mouse, who has a tenth of the mass of the cat. If the cat speeds up by 2.0 m/s, the cat has ten times of the kinetic energy of the mouse. What is the speed of the mouse

Respuesta :

onyebuchinnaji

Answer:

The speed of the mouse is 10 m/s

Explanation:

Given;

speed of the cat, u = 8 m/s

let the mass of the cat = m

then, mass of the mouse, = m / 10

let the speed of the mouse = v

Let the kinetic energy of the mouse = K.E

When the cat speeds up by 2 m/s, its new speed = 10 m/s,

then its kinetic energy is given as;

¹/₂m(10)² = 10K.E

[tex]50 m = 10[\frac{1}{2} *\frac{m}{10}.v^2][/tex]

50 = ¹/₂v²

v² = 100

v = √100

v = 10 m/s

Therefore, the speed of the mouse is 10 m/s