Q1. (a) Ports A and B are 36 nautical miles apart. A tanker leaves port A at 1130 hours travelling towards port B at a steady 16 knots. It stops for 2 hours 30 minutes for loading and returns at a steady speed of 12 knots. A second vessel leaves port B at 1610 hours and reaches port A 40 minutes before the tanker.
Determine EACH of the following:
(i) the time the tanker arrives back at port A; (4)
(ii) the speed of the second vessel. (4)
(b) The amount of energy stored in flywheels of similar shapes is directly proportional to the squares of their speeds and to the fifth power of their diameters. One flywheel has a diameter 1.72 times that of a smaller one and it runs at 85% of the speed of the smaller. The smaller flywheel stores 9.2 kJ of energy.
Calculate the amount of energy stored in the larger flywheel. (8)
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