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How much work would it take to push a # 4 kg # weight up a # 9 m # plane that is at an incline of # pi / 4 #?

Answer 1

Adrian Ayala

#E_p=4*9,81*6,36=249,57" J"#

#Delta E_p="Work"#
#h=l*sin (pi/4)#

#h=9*0,707=6,36" m"#

#E_p=m*g*h#
#E_p=4*9,81*6,36=249,57" J"#

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Answer 2

Parker Abbott

To calculate the work done, you can use the formula:

Work = Force × Distance

The force required to push the weight up the inclined plane can be calculated using the formula:

Force = Weight × sin(θ)

Where: Weight = mass × gravity θ = angle of incline

Given: Mass (m) = 4 kg Distance (d) = 9 m Angle of incline (θ) = π/4

Weight = 4 kg × 9.8 m/s² Force = Weight × sin(π/4) Work = Force × Distance

Calculate: Weight = 4 kg × 9.8 m/s² = 39.2 N Force = 39.2 N × sin(π/4) ≈ 27.7 N Work = 27.7 N × 9 m ≈ 249.3 J

Therefore, it would take approximately 249.3 joules of work to push the 4 kg weight up the 9 m plane inclined at π/4 radians.

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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.