Question

a dog of mass 25kg running after a cat of mass 4kg possesses the same kinetic energy as that of cat .calculate the ratio of velocities of the two?

Answer 1

Let ‘v’ be the velocity of the cat. So, the kinetic energy of the cat is,

KE_cat = ½ × 25 × v²

Let ‘u’ be the velocity of the mouse. So, the kinetic energy of the mouse is,

KE_mouse = ½ × 4 × u²

Since, the KEs are same. Therefore,

½ × 25 × v² = ½ × 4 × u²

=> 5v = 2u

=> u : v = 5 : 2

=> velocity of mouse : velocity of cat = 5 : 2