A body of mass (5 0.5) kg is moving with a velocity of (20 0.4) m/s. Its kinetic energy will be [2023]

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Solution

Q.
A body of mass (5 $\pm$ 0.5) kg is moving with a velocity of (20 $\pm$ 0.4) m/s. Its kinetic energy will be [2023]

1 (1000 $\pm$ 140) J

2 (1000 $\pm$ 0.14) J

3 (500 $\pm$ 0.14) J

4 (500 $\pm$ 140) J

Ans.
(1)

$k = \frac{1}{2} m v^{2}$

$k = \frac{1}{2} \times 5 \times 400 = 5 \times 200 = 1000 J$

$\frac{△ k}{k} = \frac{△ m}{m} + \frac{2 △ v}{v} = \frac{0.5}{5} + \frac{2 \times 0.4}{20}$

$△ k = 1000 (\frac{1}{10} + \frac{4}{100}) = 1000 (\frac{10 + 4}{100}) = 140 J$

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