The vector sum of the forces of 10N and 6N can be?

1 Answer
May 14, 2018

"the magnitudes of the vector sum can take values from 4 N to 16 N."

Explanation:

"you can find the vector sum of two vectors using the formula below."

R=sqrt(F_1^2+F_2^2+2*F_1*F_2*cos (theta))

  • In this formula, R is the size of the total vector, F_1 " and " F_2 are the magnitudes of the summed vectors, and theta is the angle between the two vectors.

  • theta" " angle can take values from 0 to 180.

  • if theta" "=0 " "cos (theta)=1

  • R=sqrt(10^2+6^2+2*10*6)=sqrt(100+36+120)=sqrt(256)=16N

  • if theta" "=180 " "cos (theta)=-1

  • R=sqrt(10^2+6^2-2*10*6)=sqrt(100+36-120)=sqrt(16)=4N

  • the magnitudes of the vector sum can take values from 4 N to 16 N.

  • 4<=R<=16