An object with a mass of $2 k g$ $2 kg$ is on a plane with an incline of $\frac{π}{8}$ $pi/8$ . If the object is being pushed up the plane with $8 N$ $8 N$ of force, what is the net force on the object?

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Answer 1 · 2018-02-13T07:28:50

$please see the explanation section.$ $"please see the explanation section."$

drawing a free-body diagram will make it easier to understand.
blue and red dotted lines will be useful to separate the weight of the object from the components.

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$G = m g = 2 \cdot 9.81 = 19.62 N$ $G=mg=2*9.81=19.62N$

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$G_{x} = m g \cdot cos θ = 2 \cdot 9.81 \cdot cos (\frac{π}{8}) = 18.13 N$ $G_x=mg*cos theta=2*9.81*cos(pi/8)=18.13 N$

$G_{y} = m g \cdot sin (θ) = 2.9 .81 \cdot sin (\frac{π}{8}) = 7.51 N$ $G_y=mg*sin (theta)=2.9.81*sin (pi/8)=7.51N$

The blue vector is acting vertically. We know that the inclined plane will react against the effect(Newton's third law).

$N = - G_{y} = - m g \cdot cos θ$ $N=-G_y=-mg*cos theta$
$N + (- G_{y}) = 0$ $N+(-G_y)=0$

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$F_{net} = G_{x} - F$ $F_("net")=G_x-F$

$F_{net} = 18.13 - 8$ $F_("net")=18.13-8$

$F_{net} = 10.13 N$ $F_("net")=10.13N$

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An object with a mass of 2kg2 kg is on a plane with an incline of π8pi/8 . If the object is being pushed up the plane with 8N 8 N of force, what is the net force on the object?