Respuesta :
4.719kJ is the work done by the gravitational force.
Given,
Mass of Spiderman, m = 80 kg
Acceleration due to gravity, g = 9.8[tex]m/s^{2}[/tex]
Formula used
F= mg
So, The force on Spiderman is= 80 × 9.8 = 784N
As Spiderman is dangling on the free end of a long rope, the other end of which is fixed to a tree limb above.
That's why only his vertical movement makes a difference in how much work gravity does.
So, we only consider the y coordinates here
As the rope is 12m long ,
y coordinate below the tree limb is –12m. (negative sign because the value is present below the origin.)
As it is given that the rope makes a 60.08° angle with the vertical.
So his final y coordinate is (–12.0m)cos60.08°
= -12×0.498 = -5.98m
Change in elevation (ΔS)= –5.98m–(–12.0m)= 6.02m.
The work done by the gravity on Spiderman is:
W=FΔscosθ….. (1)
where, F = Force of gravity on Spiderman
ΔS = Change in the elevation
θ = angle between force and the displacement
Putting the values in equation (1)
W = 784 × 6.02 ×cos 180°
= 784 × 6.02 × -1 = 4719.68 J = 4.719kJ
Hence, the work was done by the gravitational force on Spiderman in this maneuver is 4.719 kJ.
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