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Forces are vector quantities with units of Newtons (N); 9.8 N of force are requi

ID: 2159727 • Letter: F

Question

Forces are vector quantities with units of Newtons (N); 9.8 N of force are required to support 1.0 liter of water near the surface of the Earth. In this question, you eventually have to add three forces acting on a particular object so as to find the total force acting on that object.

A large log is located on the icy surface of a frozen pond; for this problem, the ice may be assumed to be a frictionless surface. Three ropes have been attached to the log; three boys are planning to have a sort of tug-of-war by standing on the shore of the pond and pulling on the ropes. The ropes are all horizontal. Ignore the vertical forces on the log, which are the force of gravity on the log by the Earth, and the contact force on the log by the ice. Your job is to add the three horizontal forces to find the total horizontal force acting on the log.

The contact force on the log by rope 1 is 200 N at 24 degrees West of North.

(a) What is the N-S component of the contact force on the log by rope 1?
NNorth
(b) What is the E-W component of the contact force on the log by rope 1?
NWest


The contact force on the log by rope 2 is 172 N at 40 degrees South of East.

(c) What is the N-S component of the contact force on the log by rope 2?
NSouth
(d) What is the E-W component of the contact force on the log by rope 2?
NEast

What is the total contact force on the log by ropes 1 and 2 combined?

(e) First give the magnitude of the N-S component of the combined contact forces of ropes 1 and 2. You have to decide for yourself if this combined component points North or South.
N
(f) Next give the magnitude of the E-W component of the combined contact forces of ropes 1 and 2. You have to decide for yourself if this combined component points East or West.
N
(g) What is the combined contact force on the log by ropes 1 and 2? In this case, give your direction in terms of an angle in degrees measured counterclockwise (CCW) from the Easterly direction. The angle may be anything between 0 and 180 degrees. If your calculation results in an angle that would have to be measured clockwise (CW) from the Easterly direction, then give a negative angle.
N at degrees CCW from East




Explanation / Answer

thats too big question buddy

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