Physics Help: Find the normal force that the ground applies to the front and rear tires?

The mass of an automobile is 1200 kg, and the distance between its front and rear axles is 2.48 m. The center of gravity of the car is between the front and rear tires, and the horizontal distance between the center of gravity and the front axle is 1.02 m.
(a) Determine the normal force that the ground applies to each of the two front wheels.
(b) Determine the normal force that the ground applies to each of the two rear wheels.

Because the center of gravity is closer to the front axle, the front wheels will experience a higher normal force from the ground than the rear wheels.

Assuming only front/rear distances (not left/right), I’d set the problem up like this:

Mass on Front

(2.48m-1.02m)/2.48m (1200kg) = 0.57 * 1200kg = 684 kg

Mass on Back

(1.00-0.57) * 1200kg = 516 kg

Force on each of the front wheels:
F= ma = (684 kg * 9.8 m/s) / 2 wheels = 3351.6 N per wheel front.

Force on each of the back wheels:
F= ma = (516 kg * 9.8 m/s) / 2 wheels = 2528.4 N per wheel back.

Hope that helps.

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