Question

A particle is moving on a circular path with
constant speed v. What is the change in its
velocity after it has described an angle of 60° ?
(1) v v2
(2) v 13 (3) v (4)2 v​

Answer 1

Answer:

v is the answer.

Step-by-step explanation:

Since the particle is moving in a circular path with uniform speed (scalar) so irrespective of the direction the change in speed is zero.

Velocity is a vector quantity. Hence it is direction dependent quantity.

The change in the vector can be given by using triangle law of vector addition.

v  1 −v  2=  v  2 +v   2 −2v +1 v   2  cos60 ∘

 

​  

 

By substituting the values in the above equation we get

v  

1

​  

−v  

2

​  

=  

v  

1

2

​  

+v  

2

2

​  

−v  

1

​  

v  

2

​  

 

​  

 

Since the both the speed is v

Hence the change in velocity is v