Created by StemPy LabA motor boat is moving at on still water when its engine is switched off. From then on, the water slows it down with a retardation that is proportional to its speed: , with . What is the speed of the boat after it has moved with the engine off?
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← A screw gauge has a pitch of 0.5 mm, and its circular scale has 50 divisions. When the two jaws are closed with nothing between them, the reference line of the main scale points at the 4th division of the circular scale. So the gauge shows +4 divisions when it should show zero. A thin wire is now held between the jaws. Five main scale divisions (of 0.5 mm each) are visible, and the 23rd circular division is on the reference line. The correct diameter of the wire isA wedge of mass 4 kg, with an inclined face at 30° to the horizontal, rests on a smooth horizontal floor, as shown in the figure. A small block of mass 2 kg is placed on the inclined face and released. All the surfaces are smooth, so the wedge is free to slide along the floor while the block slides down. Taking g = 10 m/s², the acceleration of the wedge is closest to →
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