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A 2000-kg car accelerates uniformly from rest to 120 km/hr in 10 seconds, then maintains constant speed. This happens on the equator and the car is moving in the opposite direction of the roads velocity vector. (The car is moving against the rotation of the earth) The radius of the earth is 6.37 x 106 m and assume the earth's density is uniformly distributed as a solid sphere of mass 5.98 x 1024 kg. Before this acceleration the earth's angular velocity is 1 rev per day.
A.) Does this increase, decrease, or leave the period of a day unchanged? For parts B through D only algebraic equations in terms of the given information should be presented, no numbers.
B.) What is the linear acceleration of the car?
C.) What is the net torque, due to the car, applied to the earth during the acceleration?
D.) What is the final angular velocity of the earth.
E.) What is the ratio of the amount of time for a day before this acceleration versus after?
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