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1. A 0.56 g sample of limestone is dissolved in acid and the calcium is precipitated as calcium oxalate. The precipitate is filtered, washed with water and dissolved in dilute H2S04. The solution required 40 mL of 0.25N KMn04 solution for titration. Calculate percentage of CaO in limestone sample.
2. A man has to go 50 m due north, 40 m due east and 20 m due south to reach a field,
(a) What distance he has to walk to reach the field ?
(b) What is his displacement from his house to the field?
3. A11 aeroplane has to go from a point A to another point B, 500 km away due 30° east of north. A wind is blowing due north at a speed of 20 m/s. The air-speed of the plane is 150 m/s.
(a) Find the direction in which the pilot should head the plane to reach the point B.
(b) Find the time taken by the plane to go from A to B.
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4. At one instant a bicyclist is 40.0 m due east of a park’s flagpole, going due south with a speed of 10.0 m/s. Then 30.0 s later, the cyclist is 40.0 m due north of the flagpole, going due east with a speed of 10.0 m/s. For the cyclist in this 30.0 s interval, what are the
(a) Magnitude and direction of the displacement,
(b) Magnitude and direction of the average velocity, and
(c) magnitude and direction of the average acceleration?
5. A deliveryman travels 34.0 m north, 23.0 m east, 12.0 m south, then takes an elevator 35.0 m up into a building. What is the magnitude of his displacement (in meters) from his starting point?
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