A car drives up a straight incline that is 4.8 km long. The total height of the

Question

A car drives up a straight incline that is 4.8 km long. The total height of the incline is 0.3 km.
The car moves up the incline at a steady speed of 20 m/s. During the climb, the average resistive force acting on the car is 500 N. The total weight of the car and the driver is 9000 N.
A) Determine the time it takes the car to travel from the bottom to the top of the incline.
B) Determine the work done against the gravitational force in travelling from the bottom to the top of the incline.
C) Using your answers above, calculate a value for the minimum power output of the car engine needed to move the car from the bottom to the top of the incline.

Explanation / Answer

The angle of the incline.. sin(?) = 0.30 / 4.80 ? = 3.58° The component of the car's weight acting against motion is .. F = 12000sin(3.58°) = 750 N The total force against the car is... 750 + 500 = 1250 N Work = F•d Work = 1250(4800) = 6 x 10^6 J = 6000 kJ

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.