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

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

50 = ¹/₂v²

v² = 100

v = √100

v = 10 m/s

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

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!