Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

A particle has two velocity v1 andv2 .its resultant velocity is equal to v1 in magnitude. Find the angle which the new resultant makes with v2 when v1 is

Let the magnitudes of velocities be respectively.
And the angle between them be .
From the data provided,
.
Now, the angle made by new resultant with when is doubled is,
Since denominator is 0, angle made by resultant is 90°.

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

See the diagram for the way vectors are added and the angle that resultant makes.

Resultant vector with an angle Ф between them is given by the law of vector addition :

V² = V₁² + V₂² + 2 V₁ V₂ Cos Ф --- (1) = V₁² given

=> V₂ = - 2 V₁ Cos Ф ---- (2)

Angle δ between the resultant vector V and V₂ is given by :

----- (3)

============= Now , the magnitude of is doubled. V₂ remains same.

resultant V² = (2V₁)² + V₂² + 2 * 2V₁* V₂ * Cos Ф = 4 V₁² + (-2V₁ Cos Ф)² + 4 V₁ (-2V₁ CosФ) Cos Ф = 4 V₁² ( 1 - Cos² Ф) = 4 V₁² Sin² Ф | V | = | 4 V₁ Sin Ф | magnitude of the resultant ----- (4)

Angle δ' that Resultant vector makes with V₂ is:

----- (5)

We see that the denominator is 0. It means that tan δ' is infinity. Hence the angle δ' that the resultant makes with the velocity V₂ is π/2.