Answer:
The speed of 1 kg ball is 3 times of the speed of 9 kg ball.
Explanation:
It is given that, 1 kg ball and 9 kg ball have the same kinetic energy.
We need to compare their speeds.
The kinetic energy of an object is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
Where
m is mass and v is speed
As kinetic energy is same. So,
[tex]m_1v_1^2=m_2v_2^2\\\\\dfrac{v_1^2}{v_2^2}=\dfrac{m_2}{m_1}\\\\\dfrac{v_1^2}{v_2^2}=\dfrac{9}{1}\\\\\dfrac{v_1}{v_2}=\dfrac{3}{1}\\\\v_1=3v_2[/tex]
So, the speed of 1 kg ball is 3 times of the speed of 9kg ball.
