Question

Two equal velocitie have a resultant equal to 1.5 times the value of either velocity find the angle between them

Answer 1

Explanation:

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Answer 2

$\bold\Answer$

Applying the formula:

R

2

=P

2

+Q

2

+2PQcosα

P

2

=P

2

+P

2

+2PPcosα

=2P

2

+2P

2

cosα

=2P

2

(1+cosα)

1+cosα=

2

1

⇒2cos

2

2

α

=

2

1

⇒cos

2

2

α

=

4

1

⇒cos

2

α

=

2

1

=cos60

o

⇒

2

α

=60

o

⇒α=120

o