Question

two vehicles of equal masses are moving with uniform v and 2v respectively find the ratio of their Kinetic energy​

Answer 1

Answer:

Formula for finding K.E

$\frac{1}{2} \times mass \times volume {}^{2}$

So ,

Vehicle 1 = ½×mass×v²

Vehicle 2=½×mass×2v²

So,

Vehicle 1: Vehicle 2

½massv²/½mass2v²

1/2

Therefore 1:2

Answer 2

When two vehicles of equal masses  are moving with uniform v and 2v . Then the ratio of their kinetic energy is 1:4

Explanation:

The kinetic Energy of an object is the energy that it possesses due to its motion.

K.E is the product of mass of the body and square of

i.e K.E = $\frac{1}{2} mv^{2}$

here Masses of two vehicles are equal masses i.e $m_{1} =m_{2}$

velocity of first vehicle = v m/s

velocity of second vehicle = 2v m/s

$\frac{K_{1} }{K_{2} } =\frac{1}{2} m_{1} v_{1} ^{2} /\frac{1}{2} m_{2} v_2} ^{2}$

$\frac{v_{1} ^{2} }{v_{2} ^{2} } = \frac{v^{2} }{4v^{2} }$

$K_{1} :K_{2} = 1:4$