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The childern are trying to shoot a marble into a marble into a small box using a spring loaded gun that fixed on a table and shoots horizontally from the edge of the table. The centre of the box is a horizontal distance 5m from the edge of the table. The first child compresses the spring a distance 2cm and finds that the marble falls short of its target by a horizontal distance 3m . By what distance x should the second child compress the spring to score a direct hit on the box?

Read the following statement and find out INCORRECT statement . (a) Both a short day plant and a long day plant can flower simultaneously in a given place . (b) Sugar beet cabbage and carrot are common biennials . (c) Some important food plants, wheat, barley , and rye have three kinds of varieties : winter, summer, and spring varieties (d) Many of the intrinsic factors such as temperature and light , control plants growth and development.

(i) A block is connected to an ideal spring on a horizontal frictionless surface. The block is pulled a short distance and released. Plot the variation of kinetic energy of the block vs the spring potential energy. (ii) A ball of mass 200 g is projected from the top of a building 20 m high. The projection speed is 10 m/s at an angle theta=sin^(-1)(3/5) from the horizontal. Sketch a graph of kinetic energy of the ball against height measured from the ground. Indicate the values of kinetic energy at the top and bottom of the building and at the highest point of the trajectory, specifying the heights on the graph. Neglect air resistance and take g = 10 m//s^(2)

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