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A particle of mass 1 kg is fired with velocity 50 m/s at an an

Question

A particle of mass $1 k g$ is fired with velocity $50 m / s$ at an angle of $60^{o}$ from horizontal. It is acted by viscous force of $0.2 v$ during its journey. The horizontal distance travelled by it in first $10$ seconds is:-

90 m

108 m

125 m

213 m

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Oliver Discussed

A particle of mass

1 k g

is fired with velocity

50 m / s

at an angle of

60^{o}

from horizontal. It is acted by viscous force of

0.2 v

during its journey. The horizontal distance travelled by it in first

10

seconds is:-

12 mins ago

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12 mins ago

Text solutionVerified

F = 0.2 v a = 0.2 v m / s^{2} \frac{d v}{d t} = 0.2 v \int_{25}^{v} \frac{d v}{v} = - \int_{0}^{10} 0.2 d t l n v - l n 25 = - 2 l n v = l n 25 - 2 l n v = 1.218 v = 3.59 m / s a = v \frac{d v}{d x} = 0.2 v \int_{25}^{3.59} d v = - \int_{0}^{10} 0.2 d x x = \frac{25 - 3.6}{0.2} = 107 x = 108 m

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Question Text	A particle of mass $1 k g$ is fired with velocity $50 m / s$ at an angle of $60^{o}$ from horizontal. It is acted by viscous force of $0.2 v$ during its journey. The horizontal distance travelled by it in first $10$ seconds is:-
Answer Type	Text solution:1
Upvotes	150