A force of 10N is acting on a body making an angle of 45o with x-axis. Its x and y components are:
Correct answer: A. 7.07 N and 7.07 N
- A. 7.07 N and 7.07 N
- B. 7.07 N and 5 N
- C. 5 N and 7.07 N
- D. 8.66 N and 5 N
Explanation
The following is the solution: There is a force moving at 45° above the horizontal. Calculate a) the horizontal component of the force. b) the vertical component of the force. We will let the force be 'f'. a) horizontal force = fcos45 = f 0.7071 or 0.7071f. b) vertical component = fsin45 =f0.7071 or 0.071f. We see that the vertical and horizontal forces are equal. Once we are given the force 'f' we can calculate the the numerical force.
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