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How much work would it take to push a # 8 kg # weight up a # 1 m # plane that is at an incline of # pi / 4 #?

Answer 1

I found #54.8J#

You can either use Newton's second law to find the force needed to push your weight up the ramp or you can use an "energetic" approach by considering that your work, #W#, will transfer energy into potential energy of your system, i.e., #W=U=mgh#.

The only problem is #h#: this is the final height that we can evaluate using trigonometry:

#h=dsin(theta)=1sin(pi/4)=0.707~~0.7m#

So that: #W=mgh=8*9.8*0.7=54.8J#

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Answer 2

To calculate the work required to push a weight up an inclined plane, you can use the formula:

Work = Force × Distance

Where the force exerted is the component of the weight parallel to the inclined plane, which can be found using:

Force = Weight × sin(θ)

Where θ is the angle of inclination.

Given: Weight (W) = 8 kg Distance (d) = 1 m Angle of inclination (θ) = π/4 radians

First, calculate the force: Force = Weight × sin(θ) Force = 8 kg × sin(π/4) Force = 8 kg × √2 / 2 Force = 4√2 N

Then, calculate the work: Work = Force × Distance Work = (4√2 N) × (1 m) Work = 4√2 joules

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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.

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.

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.

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.

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