# science

two forces are in the ratio 1:2 named p and q.if their resultant is at an angle tan inverse root 3 /2 to vector p then the angle between p and q is ?

1. 👍
2. 👎
3. 👁
1. first find the angle:
tan^-1 Theta=3/2 draw a right triangle, opposite side 3, adjacent 2, then hypotenuse is sqrt5
Sin Theta=3/sqrt5 from the drawing.

Law of sines:
2/sinTheta=1/sinLastangle
where last angle is between resultant and side 2
sinlast angle=1.5 /sqrt5
inverse sine(1.5 /sqrt 5) in degrees=

Now, determine the last angle:
angle between p and q is 180-lastangle-givenagnle

1. 👍
2. 👎
👤
bobpursley

## Similar Questions

A planet is in circular orbit about a remote star, far from any other object in the universe. Which of the following statements is true? a. None of the other statements are true. b. There is only one force acting on the planet. c.

2. ### physics

a body is under of 2 forces 7n and 10n find the resultant of 2 forces if (a)the forces are parallel and act in thesame direction (b)the forces are parallel and act in opposite direction(c)the two forces are inclined and act at an

3. ### physics

An object act upon by two forces 5N and 12N. calculate the resultant Of the two forces if the two forces act perpendicular to each other, if the two forces act at angle 40 degree to each other, if the two forces act at an angle

4. ### physics (work posted)

For a body to be in equilibrium under the combined action of several forces. a) all the forces must be applied at the same point b) all of the forces form pairs of equal and opposite forces c) the sum of the components of all the

1. ### Science

Two 20.-newton forces act concurrently on an object. What angle between these forces will produce a resultant force with the greatest magnitude? (1) 0° (2) 45° (3) 90.° (4) 180.°

2. ### pre calc

Two forces of 50 and 70 N (newtons) act on an object. The angle between the forces is 40°. Find the magnitude of the resultant and the angle that it makes with the smaller force.

3. ### pre calculus

Forces with magnitudes of 250 pounds and 130pounds act on an object at angles 45degrees and -60degrees respectively with the positive axis. Find the direction and magnitude of the resultant of these forces.

4. ### Physics

Two forces whose resultant is 100N are perpendicular to each other. If one of them makes an angle of 60° with the resultant, calculate its magnitude.

1. ### physics

Three forces of magnitude 15N, 10N and 5N act on a particle in the direction which make 120° with one another. Find the resultant and the angle the resultant makes with the x-axis?

2. ### physics

Two forces of magnitude 80n and 60n are inclinde to each other at angle 90 calculate the resultant force and obtain it direction draw the system forces.

3. ### science

Two forces P and Q whose resultant is 10Newton are at right angles to each other. If P makes 30 degrees with resultant.Show me the workings of the magnitude of Q in Newton and the diagram of the vectors.

4. ### 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