kdarpan06
contestada

Two forces of magnitudes 8N and 15N act at a point,if the resultant force is 17N,the angle between forces is equal to:

Respuesta :

The angle is 90degrees it is an orthogonal vector as the resultant vector = root of (8^2+15^2)

Answer:

The resultant of two vectors:

P

  and    

Q

​  

 is given by  

R=  

P  

2

+Q  

2

+2PQcosθ

​  

 

where, P and Q are magnitudes of two vectors and θ is the angle between two vectors.

Here θ=?  P=8N  Q=15N  R=17N

Therefore,

17=  

8  

2

+15  

2

+2×8×15cosθ

​  

 

289=64+225+240cosθ

289=289+240cosθ

289−289=240cosθ

cosθ=0

cosθ=cos90

θ=90  

0

Explanation: