# 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 doubled.

2
by Arundhuti

Log in to add a comment

by Arundhuti

Log in to add a comment

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.

Resultant vector with an angle Ф between them is given by

= V₁² given

=>

----- (3)

=============

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

= 4 V₁² + (-2V₁ Cos Ф)² + 4 V₁ (-2V₁ CosФ) Cos Ф

= 4 V₁² ( 1 - Cos² Ф) = 4 V₁² Sin² Ф

----- (5)

We see that the denominator is 0. It means that tan δ' is infinity.