physics
posted by raghavendra .
The greatest and least resultant of two forces acting at a point are 16N and 4N. If they are acting at an angle 120 degrees with one another their resultant is
A. root 38N , B.root 76N, C.root 19N, D.none

The two forces clearly have magnitudes 6 and 10.
So, use the law of cosines to get
r^2 = 100+36120(1/2) = 196
r = 14 
F1+F2=16 ,F1F2=4 so F1=10,F2=6 r=root over 10^2+6^2+2×10×6×1÷2 r=root 100+36+60=root 100+96 r =root 196 =14

Root 76N
Respond to this Question
Similar Questions

science(physics)
when two forces of magnitude p and q are perpendicular to each other their resultant is of magnitude 'r'. When they are at an angle of 180 degree to each other their resultant is 'r root 2'find the ratio of p and q. 
engineering mechanics
the greatest and least resultant of two forces are respectively 17 KN and 5 KN. determine the angle between two force when their resultant is root 144 KN. 
mechanics
the greatest and the least resultant of twoforces acting on a particle are the 35KN and 5 KN respectively. if 25KN is the magnitude of the resultant for the given system of forces f1 and f2 .prove that the forces are acting at right … 
mathematics
the greatest and the least resultants of two forces acting on a body are 35kN and 5kN respectively,determine the magnitude of the forces,what would be the angle between these forces if the magnitude of the resultant is stated to be … 
physics
Two forces 5N &10N are acting at an angle of 120° between them. Find the resultant force in magnitude and direction. 
mechanics
Two equal force acting at a point if the angle between then is 60 and the resultant is 20 root 3.find the magnitude ? 
science
The greatest and least resultant of two forces acting at a point is 29 kgwt and 5 kgwt respectively.If each force is increased by 3 kgwt.Find the resultant of the two new forces when acting at right angles to each other? 
science
The greatest and least resultant of two forces acting at a point is 29 kgwt and 5 kgwt respectively.If each force is increased by 3 kgwt.Find the resultant of the two new forces when acting at right angles to each other? 
physics
the sum of magnitudes of two forces acting at a point is 18n and the magnitude of their resultant is 12n. if the resultant makes an angle of 90 degree with the force of smaller magnitude,what are the magnitude of two forces 
Physics
The greatest and least resultant of two forces acting at a point are 16N and 4N.if they are acting at an angle 120 with one another their resultant is