Final answer:
The new momentum of the car, after a 500 N force is applied for 30 seconds, is calculated to be 18000 kg·m/s. This is found by adding an impulse of 15000 N·s to the initial momentum of 3000 kg·m/s.
Step-by-step explanation:
To calculate the new momentum after a force is applied to a moving car, we can use the concept of impulse. The impulse experienced by an object is equal to the change in momentum of the object and can be calculated by multiplying the force applied by the time over which it is applied. In this scenario, a force of 500 N is applied to the car for 30 seconds.
The impulse Impulse can be calculated as follows:
Impulse = Force × Time
Impulse = 500 N × 30 s
Impulse = 15000 N·s
Since the initial momentum of the car is 3000 kg·m/s, the new momentum New Momentum after applying the force will be the sum of the initial momentum and the impulse.
New Momentum = Initial Momentum + Impulse
New Momentum = 3000 kg·m/s + 15000 N·s
New Momentum = 18000 kg·m/s
Therefore, the new momentum of the car after the force is applied for 30 seconds is 18000 kg·m/s.