Final answer:
The minimum work needed to push a 950 kg car 720 m up along a 9.0 incline can be determined using the formula Work = Force x Distance. By finding the component of the car's weight that acts parallel to the incline and substituting the given values into the formula, we can calculate the required work.
Step-by-step explanation:
The minimum work needed to push the car up the incline can be found using the formula:
Work (W) = Force (F) x Distance (d)
To calculate the force, we need to find the component of the weight of the car that acts parallel to the incline. This can be found using the formula:
Force (F) = weight (mg) x sin(angle)
Substituting the given values, we have:
Force (F) = (950 kg) x (9.8 m/s^2) x sin(9.0 degrees)
Next, we can calculate the work:
Work (W) = (Force (F)) x (Distance (d))
Work (W) = (Force (F)) x (720 m)
Substituting the values, we have:
Work (W) = (F) x (720 m)
Work (W) = ((950 kg) x (9.8 m/s^2) x sin(9.0 degrees)) x (720 m)
By evaluating this expression, we can find the minimum work needed to push the car up the incline.