Final answer:
The current magnitude of the angular momentum of the car about the diner can be calculated using the formula L = mvr, where L is the angular momentum, m is the mass of the car, v is the velocity of the car, and r is the distance between the car and the diner.
Step-by-step explanation:
The angular momentum of the car about the diner can be calculated using the formula:
L = mvr
Where L is the angular momentum, m is the mass of the car, v is the velocity of the car, and r is the distance between the car and the diner.
In this case, the car has driven an additional distance x = 42.7 m, so the total distance between the car and the diner is r + x = 36.5 m + 42.7 m = 79.2 m.
The current magnitude of the angular momentum of the car can be calculated as:
L = (1740 kg)(v)(79.2 m)