When a train's velocity is 12.0 m/s east-ward, raindrops that are falling vertically with respect to the earth make traces that are inclined 30.0∘ to the vertical on the windows of the train. (a) What is the horizontal component of a drop's velocity with respect to the earth? With respect to the train? (b) What is the magnitude of the velocity of the raindrop with respect to the earth? With respect to the train?

Question

Jethro

Physics

28 April, 16:17

When a train's velocity is 12.0 m/s east-ward, raindrops that are falling vertically with respect to the earth make traces that are inclined 30.0∘ to the vertical on the windows of the train. (a) What is the horizontal component of a drop's velocity with respect to the earth? With respect to the train? (b) What is the magnitude of the velocity of the raindrop with respect to the earth? With respect to the train?

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Answers (1)

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Carmden · Answer 1

a. Horizontal component v = 12 m/s

b. Magnitude of velocity v = 20.78 m / s

Explanation:

Vₓ = 12.0 m / s eastward

β = 30.0 °

So

a.

Vt = Vₐ - Vₓ

Vₐ = 0 i

Vt = 0i - 12.0 = - 12 m/s

b.

Vₙ = 12 / sin (30 °)

Vₙ = 24 m / s

Vₙ = 24 * con (30 °)

Vₙ = 20.78 m / s