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Answer :
Final answer:
The weight of the car is approximately 5,600 pounds.
Explanation:
To determine the weight of the car, we need to calculate the force of gravity acting on it. The grade resistance is perpendicular to the force of gravity, so we can use the equation F = mg sin(theta), where m is the mass of the car, g is the acceleration due to gravity, and theta is the angle of the slope. We can rearrange the equation to solve for weight, giving us W = mg = F/sin(theta). Using the given grade resistance of 116 lb and the angle of the slope of 2.2°, we can calculate the weight of the car to the nearest hundred pounds.
W = 116 lb / sin(2.2°) = 5,618 lb.
Therefore, the weight of the car is approximately 5,600 pounds.
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