Home
Class 11
PHYSICS
If two forces act in opposite direction ...

If two forces act in opposite direction then their resultant is 10N and if they act mutually perpendicular then their resultant is 50N. Find the magnitudes of both the forces.

Text Solution

Verified by Experts

The correct Answer is:
40 N & 30 N
Let the magnituds of forces be A and B.
then according to question `A-B= 10`
`rArr A= 10 + B.................(1)`
and `sqrt(A^(2) +B^(2))= 50`
`rArr A^(2) + B^(2) = 2500 .............(2)`
Solving equation number (1) & (2)
A= 40 N and B = 30N
Therefore the magnitudes of forces are 40 N & 30 N
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise BEGINNER S BOX 10|3 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise BEGINNER S BOX 11|4 Videos

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN |Exercise BEGINNER S BOX 8|2 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

Two forces, while acting on particle in opposite directions,have the resultant of 10N. If they act at right angles to each other, the resultant is found to be 50N. Find the two forces?

Force 3N, 4N and 12 N act at a point in mutually perpendicular directions. The magnetitude of the resultant force is :-

Sum of magnitude of two forces is 20 N and magnitude of their resultant is 10 N. If resultant is perpendicular to the smaller force find values of both forces.

The sum of the magnitudes of two forces acting at a point is 16 N. The resultant of these forces is perpendicular to the smaller force has a magnitude of 8 N. If the smaller force is magnitude x, then the value of x is (A) 2N (B) 4N (C) 6N (D) 7N

The magnitudes of mutually perpendicular forces a,b and c are 2,10 and 11 respectively. Then the magnitude of its resultant is

The sum of magnitudes of two forces acting at a point is 16 N . If the resultant force is 8 N and its direction is perpendicular to smaller force, then the forces are :-

Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

Two equal forces are acting at a point with an angle of 60^(@) between them. If the resultant force is equal to 40sqrt(3)N , The magnitude of each force is :-

Two equal forces are acting at a point with an angle of 60^(@) between them. If the resultant force is equal to 20sqrt(3)N , The magnitude of each force is :-