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How much work would it take to push a # 3 kg # weight up a # 8 m # plane that is at an incline of # pi / 3 #?

Answer 1

Charlotte Aaron

#E_p=W=29,43sqrt3 " "J#

#h=8*sin( pi/3)=8*sqrt3/2=4sqrt3" "m# #"it raises "4sqrt3 " meters and gains the potential energy" # #E_p=W=m*g*h#

#E_p=W=3*9,81*4sqrt3# #E_p=W=29,43sqrt3 " "J#

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Answer 2

Axel Acevedo

The work required to push a 3 kg weight up an 8 m incline at an angle of π/3 radians can be calculated using the formula:

Work = Force × Distance × cos(θ)

where:

Force = mass × acceleration due to gravity
Distance = 8 m (the length of the incline)
θ = π/3 radians (the angle of the incline)

Substituting the values:

Force = 3 kg × 9.81 m/s² ≈ 29.43 N Distance = 8 m θ = π/3 radians

Work = 29.43 N × 8 m × cos(π/3) ≈ 29.43 N × 8 m × 0.5 ≈ 117.72 Joules

Therefore, it would take approximately 117.72 Joules of work to push a 3 kg weight up an 8 m incline at an angle of π/3 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.