The net force in the vertical direction is -1.6 Newtons.
For given question,
Jason is pulling a box across the room.
He is pulling with a force of 24 newtons and his arm is making a 63 angle with the horizontal.
By resolving Jason's force of pull in the vertical direction,
⇒ Fy = 24 × sin(63°)
⇒ Fy = 24 × 0.891
⇒ Fy = 21.384 Newtons.
The vertical component of Jason's force of pull is, 21.4 Newtons.
The box weighs 23 Newtons.
By treating up as the positive vertical direction and down as the negative vertical direction,
The weight of the box acts in the negative vertical direction, while Jason's vertical force component acts in the positive vertical direction.
So, the net force in the vertical direction is
= 21.4 Newtons + (-23 Newtons)
= -1.6 Newtons
Therefore, the net force in the vertical direction is -1.6 Newtons.
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