A car, of weight 6.2 kN, is towed at constant speed by a van on an uphill road as shown below. The tow rope is at an angle of 15° above the horizontal, when the road is 5° above the horizontal. The tension in the tow rope pulls the car with a force of 580 N.
a Calculate the component of the tension in the tow rope:
i parallel to the road, ii perpendicular to the road.
b Calculate the component of the car's weight:
i parallel to the road,
ii perpendicular to the road.
c By comparing your answers to parts ai and bi, calculate the magnitude and direction of the force of friction acting on the car.
d The van's weight is 12 kN. By considering the component of the van's weight parallel to the road and the component of the tension in the tow rope, show that the force of the van's engine must be at least 1.6 kN.
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