Answer:
the power output of the car is 29.43 kW (rounded to two decimal places).
Step-by-step explanation:
To find the power output of the car, we need to use the formula:
power = work / time
where work is the change in potential energy of the car as it climbs the hill, which can be calculated using the formula:
work = force x distance
where force is the force required to lift the car against gravity, which is given by:
force = mass x gravity
where mass is the mass of the car, and gravity is the acceleration due to gravity (9.81 m/s^2).
So, the force required to lift the car against gravity is:
force = 1000 kg x 9.81 m/s^2 = 9810 N
The distance the car travels up the hill is 30 m.
Therefore, the work done by the car is:
work = force x distance = 9810 N x 30 m = 294300 J
The time taken by the car to climb the hill is 10 s.
Therefore, the power output of the car is:
power = work / time = 294300 J / 10 s = 29430 W