Respuesta :
Answer:
92,259.73 Joules
Explanation:
α=12.5°
m=1000 kg
d= 45m
[tex]F=m*g*Sin(\alpha)\\[/tex]°)[tex]
F= 1000kg*9.81 \frac{m}{s} *Sin (12.5 )\\[/tex]
[tex]F= 1000 kg * 9.81 \frac{m}{s} * 0.2164\\[/tex]
[tex]F= 2,123.27 N\\[/tex]
[tex]W=F*d*Cos (\alpha)\\[/tex]
[tex]W= 2,123.27 N * 45m * Cos (12,5)\\[/tex]
[tex]W= 92,259.73 Joules[/tex]
The minimum work needed to push the car up the given height is 4.41 x 10⁵ J.
The given parameters;
- mass of the car, m = 1000 kg
- height up to the incline, h = 45 m
- length of the incline, L = 12.5 m
Assuming no friction, the minimum work needed to push the car up the given height is calculated as follows;
W = mgh
W = 1000 x 9.8 x 45
W = 4.41 x 10⁵ J.
Thus, the minimum work needed to push the car up the given height is 4.41 x 10⁵ J.
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