Answer :
The effect on K₁/K₂ on changing the quantities are :
a)If the mass of 1 is double the mass of 2, and the speeds are the same, then ratio is 2 times
b)If the speed of 1 is double the speed of 2, and the masses are the same, then ratio becomes 4 times.
c)If The mass of 2 is double the mass of 1, and the speeds are the same, then ratio becomes half.
d)If The speed of 2 is double the speed of 1, and the masses are same, then ratio becomes 1/4 times.
e)If The speed of 1 is double the speed of 2, and the mass of 2 is double the mass of 1,then ratio becomes half.
We know that kinetic energy of any body is given by (1/2)mv² where m is the mass of the body and v is the velocity of the body.
Hence, the ratio of K₁/K₂ is changing on changing one or both of these parameters
a) when mass of first body is doubled then K₁ becomes 2 times of initial kinetic energy, then ratio will become twice of the initial value.
b)when speed of first object is doubled then kinetic energy of first object will becomes 4 times of initial energy ,therefore the ratio becomes 4 times of initial ratio.
c) If The mass of 2 is double the mass of 1, and the speeds are the same then in that kinetic energy of 2nd object will become twice of initial kinetic energy, therefore ratio will become half.
d) If The speed of 2 is double the speed of 1, and the masses are same then ratio becomes 1/4 times of initial ratio.
e) If The speed of 1 is double the speed of 2, and the mass of 2 is double the mass of 1, then in that case ratio becomes half of initial ratio,
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(Complete question) is:
Kinetic energy depends on both the mass of an object and on its speed. Ki the kinetic energy. Using the ratio K₁/K₂ to see how changing one or both of these parameters changes the kinetic energy. Match each case with the correct value of ratio K₁/K₂. 1) The mass of 1 is double the mass of 2, and the speeds are the same.2) The speed of 1 is double the speed of 2, and the masses are the same. 3) The mass of 2 is double the mass of 1, and the speeds are the same. 4) The speed of 2 is double the speed of 1, and the masses are the same. 5) The speed of 1 is double the speed of 2, and the mass of 2 is double the mass of 1.
