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1. For the 31 charges illustrated below. :I: Y 2 11x = D.2tl pit? or}. = ill] pf: a} determine the sralue of the total

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1. For the 31 charges illustrated below. :I: Y 2 11x = D.2tl pit? or}. = ill] pf: a} determine the sralue of the total Electric Field at point 2 [magnitude and direction] h} if a DA}! pt: charge was placed at point 2. what would be the magnitude and direction of the net force acting on it? 2. Three children are in a cart at the top of an E m high hill {point A] as shown. If the total mass of the cart and children is mo kg, and friction "" m\" can be neglected, 'l' a} Determine the maximum speed of the box just before impact in on the spring {point B]. b} If the spring constant is 12 D00 mm. determine the distance of spring compression [cor]. 3. Two masses are attached by a light rope, over a frictionless puller, as shown. a] Determine the acceleration of the ED kg mass. b} If the mass starts from rest, what will be its speed after 21] seconds? ml-E kg mI =12 kg 4. A boy pulls a 50 kg crate across a level floor with a force of 200N, as shown. 200 N If the force acts at an angle of 30" to the horizontal and the coefficient of kinetic friction is 0.30, determine: 50 kg a) the normal force and the horizontal frictional force exerted on the crate by = 0.30 the floor. b) the acceleration of the crate. c) the work done by the 200 N force in moving the crate 5 metres. 5. A ball projected horizontally from a roof height of 3.0 m hits the ground 4.0 m down range, as shown. Neglecting air resistance, determine: 3 m a) its time of flight. b) its horizontal velocity. 6. A geostationary satellite of mass 1250 kg is in a circular orbit around the earth at an altitude of 48,570 km as measured from the centre of the earth. If the force of gravity between the satellite and the earth is 211.34 N, determine: a) the speed at which the satellite is orbiting the earth. b) the period of the satellite's motion in hours

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