Problem 3.82 When a train\'s velocity is 12.0 m/s eastward, raindrops that are f

Question

Problem 3.82

When a train's velocity is 12.0 m/s eastward, 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.

Part A

What is the horizontal component of a drop's velocity with respect to the earth?

SubmitMy AnswersGive Up

Part B

What is the horizontal component of a drop's velocity with respect to the train?

SubmitMy AnswersGive Up

Part C

What is the magnitude of the velocity of the raindrop with respect to the earth?

SubmitMy AnswersGive Up

Part D

What is the magnitude of the velocity of the raindrop with respect to the train?

SubmitMy AnswersGive Up

Problem 3.82

When a train's velocity is 12.0 m/s eastward, 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.

Part A

What is the horizontal component of a drop's velocity with respect to the earth?

vx =   m/s  

SubmitMy AnswersGive Up

Part B

What is the horizontal component of a drop's velocity with respect to the train?

vx =   m/s  

SubmitMy AnswersGive Up

Part C

What is the magnitude of the velocity of the raindrop with respect to the earth?

v =   m/s  

SubmitMy AnswersGive Up

Part D

What is the magnitude of the velocity of the raindrop with respect to the train?

v =   m/s  

SubmitMy AnswersGive Up

Explanation / Answer

Let the velocity of raindrops with respect to earth be ( -vy j)

as the drops are falling vertically, horizontal velocity, vx = 0 <-------answer(a)

So, ( vy j) - 12i = (-12 i - vy j )

Now, vy/12 = tan(90 - (30) deg)

So, vy = 20.8 m/s

So, horizontal component of a drop's velocity with respect to the train,vx, = -12 m/s <--------answer(b)

c)

v = vy = 20.8 m/s <-------answer

d)

magnitude of the velocity of the raindrop with respect to the train = sqrt((-12)^2 + 20.8^2) = 24 m/s <------answer

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.