Final answer:
To calculate the minimum work needed to push a car up an incline, you can use the formula: Work = force x distance x cos(angle). Given the mass of the car, the distance of the incline, and the angle of inclination, you can calculate the force and then find the work. Substituting the values into the formula will give you the minimum work needed.
Step-by-step explanation:
To calculate the minimum work needed to push a car up an incline, we can use the formula:
Work = force x distance x cos(angle)
Where force is the component of the weight of the car parallel to the incline, distance is the length of the incline, and angle is the angle of inclination.
Given: mass = 850 kg, distance = 750 m, angle = 7.5 degrees
First, we need to calculate the force:
Force = mass x gravity x sin(angle)
Substituting the given values:
Force = 850 kg x 9.8 m/s^2 x sin(7.5 degrees)
Next, we can calculate the work:
Work = force x distance x cos(angle)
Substituting the values:
Work = (850 kg x 9.8 m/s^2 x sin(7.5 degrees)) x (750 m) x cos(7.5 degrees)
Calculating the above expression will give us the minimum work needed to push the car up the incline.