A 1190 kg car pulls a 460 kg trailer. The car exerts a horizontal force of 4070 N against the ground in order to accelerate. What force does the car exert on the trailer? Assume an effective friction coefficient of 0.190 for the trailer.
F - the force exerted by the car; T - the force exerted on the trailer; M = 1,190 kg; m = 460 kg. F = ( M + m ) a + (mi) m g T = m a + (mi) m g T = m ( ( F - (mi) m g ) / ( M + m ) ) + (mi) m g = 460 * ( ( 1190 - 0.190 * 460 * 9.81 ) / (460 + 1190 ) ) + 0.190 * 460 * 9.81 = = 460 * 332 / 1650 + 857.4 = 92.6 + 857.4 = 950 N