मराठी

A car is running at a speed of 15 km h-1 while another similar car is moving at a speed of 45 km h-1. Find the ratio of their kinetic energies.

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प्रश्न

A car is running at a speed of 15 km h-1 while another similar car is moving at a speed of 45 km h-1. Find the ratio of their kinetic energies.

संख्यात्मक
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उत्तर

Given, velocity of first car, v1 = 15 km/h

And velocity of second car, v2 = 45 km/h

Since masses are same, kinetic energy is directly proportional to the square of the velocity (Kav2)

Hence, ratio of their kinetic energies is:

`therefore k_1/k_2 = v_1^2/v_2^2`

`therefore k_1/k_2 =15^2/45^2`

`therefore k_1/k_2 = (cancel(15)^1 xx cancel(15)^1)/(cancel(45)_3 xx cancel(45)_3)`

`therefore k_1/k_2 = 1/(3 xx 3)`

`therefore k_1/k_2 = 1/9`

∴ k1 / k2 = 1 : 9

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पाठ 2: Work, Energy and Power - EXERCISE - 2(B) [पृष्ठ ४२]

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सेलिना Physics [English] Class 10 ICSE
पाठ 2 Work, Energy and Power
EXERCISE - 2(B) | Q 14. | पृष्ठ ४२

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