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16 May, 10:51

An iceboat is at rest on a frictionless frozen lake when a sudden wind exerts a constant force of 200. N, towards the east, on the boat. Due to the angle of the sail, the wind causes the boat to slide in a straight line for a distance of 8.0 m in a direction 20 degrees north of east. What is the kinetic energy of the iceboat at the end of that 8.0 m?

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  1. 16 May, 11:58
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    K. E = 1600 J

    Explanation:

    The force exerted on boat is 200 N, which gives the acceleration to it = 200/m

    here m is the mass of the boat.

    The velocity after covering a distance of 8 m with this acceleration van be found by the relation

    v² - u² = 2 a s

    here u is the initial velocity, which is zero in this case because boat is at rest.

    The v² = 2 x 200/m x 8

    The K. E = 1/2 m v² = 1/2 m x 2 x 200/m x 8 = 1600 J
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