Respuesta :
The change in Potential energy is = 662,292.459 J.
How can we calculate the value of change in potential energy?
Here, to calculate the potential energy change we use the formula,
[tex]W= F \times d \times cos\theta[/tex]
Or, [tex]W= m\times g \times d \times cos\theta[/tex]
Here we are given,
d= Distance the car makes = 62. 2 m.
[tex]\theta[/tex] = Angle that the car make along the hill = 28. 3°
F= The amount of force affect on the car = [tex]m\times g[/tex] .
m= Mass of the car = 1234 kg.
g= Acceleration of gravity = 9.8 [tex]m/s^2[/tex]
Now we substitute the known values in the above equation,
[tex]W= m\times g \times d \times cos\theta[/tex]
Or, [tex]W= 1234 \times 9.8 \times 62.2 \times cos(28.3)[/tex]
Or, [tex]W= 662,292.459 J[/tex]
From the above calculation we can conclude that the amount of work done on the car is, 662,292.459 J.
We know, from the work energy theorem that,
The change in Potential energy = The work done on the mass.
So, From the above theorem the change in potential energy is 662,292.459 J.
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