How much work would it take to push a $8 k g$ $8 kg$ weight up a $15 m$ $15 m$ plane that is at an incline of $\frac{π}{4}$ $pi / 4$ ?

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Answer 1 · 2016-05-22T15:02:58

Work $W = 831.5575747$ $W=831.5575747" "$ joules

The given data are
mass $m = 8$ $m=8" "$ kg
angle $θ = \frac{π}{4}$ $theta=pi/4$

distance $d = 15$ $d=15" "$ meters

Let $F$ $F$ be the force required to push the object up the plane

the working equation

$F = m g \cdot sin θ$ $F=mg*sin theta$
$F = 8 \cdot (9.8) \cdot sin (\frac{π}{4})$ $F=8*(9.8)*sin (pi/4)$
$F = 55.43717165$ $F=55.43717165" "$ N

Solve for the work $W$ $W$

$W = F \cdot d$ $W=F*d$
$W = 55.43717165 (15)$ $W=55.43717165(15)$
$W = 831.5575747$ $W=831.5575747" "$ Joules

God bless....I hope the explanation is useful.

How much work would it take to push a 8kg 8 kg weight up a 15m 15 m plane that is at an incline of π4 pi / 4 ?