A car of mass travels along a level road with a uniform speed of

PHYSICS · Multi-part · AP · Physics C: Mechanics · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A car of mass 1200 kg1200\,\text{kg} travels along a level road with a uniform speed of 108 km h−1108\,\text{km h}^{-1}. While moving, it experiences an air resistance of 400 N400\,\text{N} and a rolling resistance of 200 N200\,\text{N} acting opposite to its motion. (i) Calculate the magnitude of the horizontal driving force that the engine must supply to maintain this speed. (ii) If the driver shifts to neutral so that the engine delivers no driving force, determine the magnitude of the car’s deceleration immediately after this action. Assume the resistive forces remain unchanged and take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}.

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