152k views
5 votes
Four forces are acting on an object one force is pulling two Newtons to the left the second force is pulling 2 Newton’s up the third is pulling three newton’s down and the last is pulling two newtons to the right what is the size and direction of the net force

User DNJohnson
by
7.4k points

2 Answers

10 votes

Final answer:

The net force acting on the object is 1 Newton downward since the horizontal forces cancel each other out and the vertical forces combine to a net force of 1 Newton in the downward direction.

Step-by-step explanation:

To find the size and direction of the net force acting on the object, we need to add up all the forces vectorially. Since force is a vector quantity, it has both magnitude and direction. The vector sum of forces requires considering both these aspects. We are given four forces, where one is pulling 2 Newtons to the left (x-axis), one 2 Newtons up (y-axis), one 3 Newtons down (y-axis), and one 2 Newtons to the right (x-axis).

On the x-axis, the forces cancel each other out because they are equal in magnitude but opposite in direction (2 Newtons to the left offset by 2 Newtons to the right), resulting in a net force of 0 Newtons on the x-axis.

On the y-axis, we have one force of 2 Newtons upwards and one force of 3 Newtons downwards. The net force on the y-axis will be the difference between these two forces, which is 1 Newton downwards.

Therefore, the size of the net force is 1 Newton, and the direction of the net force is downward, or negative along the y-axis.

User Senthil Kumaran
by
6.8k points
9 votes

Answer: The net force is the vector sum of the two forces, since they’re acting in opposite directions one is negative (left) so

-5 + 7 = 2 to the right

Magnitude is 2

Direction is right

Step-by-step explanation:

User Moisei
by
6.8k points