Answer
(a) The magnitude of the net force is 30 N directed to the right.
(b) The magnitude of the net force is zero.
(c) The magnitude of the net force is 18 N directed downward.
Work Step by Step
(a) We can find the magnitude of the net force $F$:
$F = 40~N - 10~N = 30~N$ (directed to the right)
The magnitude of the net force is 30 N directed to the right.
(b) We can find the magnitude of each component of the net force $F$:
$F_x = 10~N - 10~N = 0$
$F_y = 18~N - 18~N = 0$
The magnitude of the net force is zero.
(c) We can find the magnitude of each component of the net force $F$:
$F_x = 10~N - 10~N = 0$
$F_y = 18~N$ directed downward
The magnitude of the net force is 18 N directed downward.
