Question

Two men A and B are running with velocities 5 m/s due east and 5 m/s due west respectively. The rain is falling
vertically downward with the velocity 5root3 m/s. In order to be safe from rain how should they hold their
umbrellas?
(A) Both should hold the umbrella 30° above the east.
(B) Both should hold the umbrella 60° above the east.
(C) Man A should hold the umbrella 30° above the east and B 30° above the west.
(D) Man A should hold the umbrella 60° above the east and B 60° above the west.
nale lane road with constant velocities 12 m/​

Answer 1

Answer:

hope it will helps u....

Answer 2

Answer:

So the answer is

man A should place the umbrella at 60∘ and B at 120∘ from the positive x-axis.

Explanation:

Umbrella need to be saved in a route in which the rainfall comes in the direction of the guys. Draw the diagram displaying the instructions of the velocities. Then after the evaluation of the diagram, locate the perspective among the vectors the usage of the tangent of the perspective. This all will assist you in answering this question.

Umbrella need to be saved in a route in which the rainfall comes in the direction of the guys. The resultant of the velocities of the guys need to be determined. The rainfall is having a speed with admire to guys may be written as,

V⃗ bar rm=V⃗ bar  r−V⃗ bar m

Where V⃗ bar r be the rate of the rainfall and V⃗ bar m be the rate of the guy.

Now allow us to don't forget the primary case.

The umbrella need to be positioned within side the route of the relative speed among the rainfall and the guys.

Now allow us to examine the second one case.

Here additionally the umbrella need to be positioned within side the route of the relative speed among the rainfall and the guys.

The perspective among the vectors may be determined through taking the tangent of the vectors. That is,

Tan Ф = V bar m / V bar r

The magnitude of velocity of the rain has been given as,

V bar r =  $5\sqrt{3}$ ms^-1

And that of the men can be written as,

V bar m =  5 ms^-1

Substituting the values in it will give,

tan Ф = V bar m / V bar r

          = 5/ 5$\sqrt{3}$ =1/$\sqrt{3}$

θ=30∘

Now allow us to alternative this cost withinside the case of Man A and guy B.

Man A may be proven as,

The wished perspective is proven in pink colour.

so the solution is

guy A need to vicinity the umbrella at 60∘ and B at 120∘ from the high quality x-axis.

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