Final answer:
The parallel force component of a car's weight on a hill can be calculated using the formula W|| = mg sin(\u03b8), substituting the mass of the car and the angle of the slope in degrees.
Step-by-step explanation:
To calculate the parallel force component of a car's weight resting on a hill, which is presented as an angle above the horizontal, we can use the formula:
W… = w sin(\u03b8) = mg sin(\u03b8),
where W… is the parallel component of the weight, w is the total weight of the car, m is its mass, g is the acceleration due to gravity (9.81 m/s2), and \u03b8 is the slope angle in degrees. For a slope angle of 35 degrees, the formula becomes:
W… = mg sin(35°).
Assuming we know the mass of the car, we can substitute the values into the equation to find the parallel force component. The parallel force is what causes the car to slide down the hill if unchecked by other forces like friction.