Respuesta :
The change in potential energy of the car coasts along the hill will be 662,292.459 Joule.
We have,
Length of coasts along the hill = 62.2 meters,
And,
The angle car make with the ground = 28.3°,
And,
The mass of the car = 1234 kg,
Now,
We know,
From the Work Energy Theorem that,
The change in Potential energy = The work done on the mass.
And,
Work done i.e. W = F × s × CosΘ
Here,
F = Force,
s = Distance car cover,
And,
Θ = Angle car make with the ground,
And,
We know that,
Force i.e. F = mass × acceleration due to gravity = m × g
And,
g= Acceleration of gravity = 9.8 m/s²
So,
Now,
Putting values,
i.e.
F = 1234 × 9.8 = 12093.2 Newton
Now,
Using the Formula of Work done,
i.e.
W = F × s × CosΘ,
Putting values,
i.e.
W = 12093.2 × 62.2 × Cos(28.3°)
On solving we get,
W = 662,292.459 Joule
So,
Chane in potential energy = 662,292.459 Joule
Hence we can say that the change in potential energy of the car coasts along the hill will be 662,292.459 Joule.
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