# Physics

posted by .

Two dogs pull horizontally on ropes attached to a post; the angle problem 1 between the ropes is 60.0 degrees. If dog A exerts a force of 270N and dog B exerts a force of 300N find the magnitude of the resultant force and the angle it makes with dog A's rope.

• Physics -

You have a SAS triangle problem. You need the third side, and an angle.

Draw this out in a head to tail vector on vector.

one vector 270 at zero degrees (dogA). Next, starting at the end of that vector, a 300N at 60 deg upward (the angle then in the triangle is 120 deg).

First, the length of the other side:
Law of cosines..
R^2=a^2+b^2 -2abcos120
you know a, b find R

Then the angle between the dogA and the resultant.
SinAngle/opposite side=Sin120/R
where the opposite side in this triangle is 300
solve for the angle.

• Physics -

F = 270[0o] + 300[60o]
F = 270+300*Cos60 + 300*sin60=420+259.8i
= 494N.[31.74o].

F = 31.74o above dog A.

## Similar Questions

1. ### Physics

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 65.0. Dog exerts a force of 256 and dog exerts a force of 344 . A) Find the magnitude of the resultant force. B) Find the angle the resultant force …
2. ### physics

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 65.0รบ. Dog " A" exerts a force of 256 N and dog " B " exerts a force of 344 N . I) Find the magnitude of the resultant force. ( Answered = 508 …
3. ### physics

three dogs play tug-of-war with a chew toy. Each dog pulls with a force that is horizontal with the ground. Determine the net force acting on the chew toy and the acceleration of the chew toy if its mass is 325g. (ignore friction and …
4. ### physics

two ropes are attached to a 200. kg sled. A 490. newton dog attached to on eo the ropes applies a force of 300. N b north of the rope. A 35.0 kg dog attached to the second rope applies a force of 125 N b 36.9 degrees south of west …
5. ### Physics

two dogs pull horizontally on ropes attached to a post; the angle between the rope is 70deg. dog A exerts a force of 268N and dog B exerts a force of 310N. find the magnitude of the resultant force. and the angle the resultant force …
6. ### Physics

two dogs pull horizontally on ropes attached to a post; the angle between the rope is 70deg. dog A exerts a force of 268N and dog B exerts a force of 310N. find the magnitude of the resultant force. and the angle the resultant force …
7. ### Physics

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 66.0∘. Dog A exerts a force of 278N , and dog B exerts a force of 324N . =Find the magnitude of the resultant force. =Find the angle the resultant …
8. ### PHYSICS

Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 62.0∘. Dog A exerts a force of 270N , and dog B exerts a force of 302N . Find the magnitude of the resultant force. Find the angle the resultant …
9. ### physics

Two horses pull horizontally on ropes attached to a tree stump (Fig. 3). Each horse pulls with a force of magnitude F. If the angle between the two ropes is 126O, what is the resultant force?
10. ### PHYSICS

Two tugboats are towing as barge. Each exerts a force of 5.0 tons and the angle between two ropes is 30 degrees. Find the resultant force exerted the barge.

More Similar Questions