A force of 5 pounds acts in the direction of 10 to the horiz

A force of 5 pounds acts in the direction of 10° to the horizontal. The force moves an object along a straight line from the point (10,3) to point (17,18), with distance measured in feet. Find the work done by the force. Round the answer to one decimal place. (Show work please).

Solution

F = 5cos10 i^ + 5sin10 j^

d = (17-10)i^ + (18-3)j^ = 7i^ + 15j^

work = F.d = 35cos10 + 75sin10 pound-ft

= 47.49188469 pound-ft