How much work would it take to push a # 5 kg # weight up a # 7 m # plane that is at an incline of # pi / 4 #?

Answer 1

THe work is #=242.5J#

Only the weight component that is parallel to the plane functions; the weight component that is perpendicular to the plane does not.

The mass is #m=5kg#

The distance is #s=7m#

The angle is #theta=1/4pi#

The task is

#W=mgsintheta*s#

#W=5gsin(1/4pi)*7#

#=242.5J#

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Answer 2

Charles Aeschliman

To find the work done, use the formula: work = force * distance. The force required to push the weight up the incline can be calculated using the formula: force = weight * sin(angle). Then, plug in the values: weight = 5 kg, angle = π/4 radians, and distance = 7 m. Calculate the force, then multiply it by the distance to find the work done.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.