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Grade 10Mechanics

In earlier days, horses pulled barges down canals in the manner shown in Fig. Suppose that the horse pulls a rope that exerts a horizontal force of 7900 N at an angle of 18° to the direction of motion of the barge, which is headed straight along the canal. The mass of the barge is 9500 kg and its acceleration is 0.12 m/s2, Calculate the horizontal force exerted by the water on the barge.
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

Profile image of Hrishant Goswami
11 Years agoGrade 10
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1 Answer

Profile image of Jitender Pal
11 Years ago
235-2161_1.PNG
Round off to four significant figures,
Px = 6373 N
Therefore the magnitude of horizontal force exerted by the water is 6373 N and it acts in a direction opposite to the horizontal motion of barges.