Objective: Computing work. Warm up Find the vector components of vector v. Its magnitude is 6 and its direction angle is . 2. Find . Decompose v into the sum of two orthogonal vectors.
Computing work: Measures energy when a force acts to cause an object to be displaced. Measured in foot-pound or newton-meter. OR Magnitude of the force. Angle between force and direction of motion. Distance object moved
Example 1 A person exerting a constant force of 90 pounds for 200 ft Example 1 A person exerting a constant force of 90 pounds for 200 ft. Find the work done.
Example 2 Handle makes with the horizontal. Force applied 50 pounds Example 2 Handle makes with the horizontal. Force applied 50 pounds. How much work is done in moving the object 100 ft?
Example 3 A force is given by the vector and it moves an object from point (1, 3) to point (5, 9). Find the work done.
Example 4 Find the work done by a 10 pound force acting in the direction of vector in moving an object 3 feet from (0, 0) to (3, 0).