Solve the problem.
-Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of 40 lb acts along the positive x-axis, and the force of 25 lb acts at an angle of 80° with the positive x-axis. Find the direction and magnitude
Of the resultant force. Round the direction and magnitude to the nearest whole number.
A) Direction: 40°; magnitude: 47 lb
B) Direction: 51°; magnitude: 51 lb
C) Direction: 29°; magnitude: 51 lb
D) Direction: 4°; magnitude: 65 lb

Question

Quizplus · Accepted Answer

The resultant force can be calculated using vector addition. The x-component is 40 + 25*cos(80°) and the y-component is 25*sin(80°). The magnitude is √(x^2 + y^2) ≈ 51 lb, and the direction is tan⁻¹(y/x) ≈ 29°.

Solve the Problem. -Two Forces of Magnitude 25 Pounds and 40 Pounds Act