A car of mass m is traveling at a road speed v_r along an equatorial east–west highway at sea level. If the road follows the curvature of the earth, derive an expression for the difference ΔP between the total force exerted by the road on the car for eastward travel and the total force for westward travel. Calculate ΔP for m = 1500 kg and v_r = 200 km/h. The angular velocity ω of the earth is 0.7292(10⁻⁴) rad/s. Neglect the motion of the center of the earth.