Question

Two lady beetles are standing on a CD, one 3 cm, half way out from the centre, the other 6 cm out, on the outside edge. The CD turns ¼ of a revolution in 2 seconds. (i) Calculate the tangential speed v of the outside lady beetle. (ii) Calculate the angular velocity ω of the outside lady beetle. (iii) How would the tangential speed and angular velocity of the half way out lady beetle compare with these values


(b) A cannon fires a ball at an elevation of 300 at an initial velocity of v0 = 300 m/s. (i) Calculate the initial horizontal and vertical components of this initial velocity. (ii) Use the vertical component to calculate how long the ball will be in the air. (Ignore the height of the cannon above the ground). (iii) Calculate the range of the cannon ball.

(c) An Easter island statue has a mass of 2000 kg and a volume of 1.00 m3. (i) Calculate the weight of the statue. (ii) If the statue is completely immersed in a swimming pool, and resting on the bottom, explain how Archimedes' principle can be used to calculate the upward buoyant force. (iii) Calculate the force the statue would exert on the bottom of the swimming pool.   

Answer 1

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