Question

If the two bodies have masses in the ratio 1:8,
have their speeds in the ratio 4:5, find the ratio of
their KE.
A hun onder how come Which of the true is
these velocities.
the velocities. A
20) Calculate the total
unmit​

Answer 1

Answer:

KE = 1/2 mv²

Let the masses be x and 8x

Let the speeds be 4y and 5y

Ratio of KE,

$\frac{ \frac{1}{2} x \times {(4y)}^{2} }{ \frac{1}{2} \times 8x \times {(5y)}^{2} } \\ \\ = \frac{16 {y}^{2} }{8 \times 25 {y}^{2} } \\ \\ = \frac{2}{25}$

The ratio is 2:25

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