Five children are pushing on a snowball; each is pushing with a force of 10.0 N.Each is pushing at an angle of $45^{\circ}$ relative to his neighbor.What is the net push on the ball?
A) 0 N
B) 24.1 N
C) 27.1 N
D) 17 N
E) 50 N

Question

Quizplus · Accepted Answer

The net push is the vector sum of the five forces. The horizontal component of each force is 10.0 N * cos(45°) = 7.07 N. The vertical component of each force is 10.0 N * sin(45°) = 7.07 N. The net horizontal push is 5 * 7.07 N = 35.35 N. The net vertical push is 0 N. The net push is the square root of (35.35 N)^2 + (0 N)^2 = 35.35 N.

Five Children Are Pushing on a Snowball; Each Is Pushing 45∘45^{\circ}45∘

Five Children Are Pushing on a Snowball; Each Is Pushing $45^{\circ}$