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Unformatted text preview: homework 04 ALIBHAI, ZAHID 1 Latest unpenalized work: Feb 12 2007 Mon- day 04:00 (after this date you can not make a perfect score). Work cutoff: Feb 14 2007, 4:00 am. Question 1 part 1 of 2 10 points Four forces act on a hot-air balloon, as shown from the side. 229 N 111 N 216N 80N Note: Figure is not drawn to scale a) Find the magnitude of the resultant force on the balloon. Answer in units of N. Question 2 part 2 of 2 10 points b) Find the direction of the resultant force (in relation to the 229 N force, with up being positive). Answer in units of . Question 3 part 1 of 2 10 points A 9 kg object undergoes an acceleration of 3 . 3 m / s 2 . What is the magnitude of the resultant force acting on it? Answer in units of N. Question 4 part 2 of 2 10 points If this same force is applied to a 3 . 9 kg object, what acceleration is produced? Answer in units of m / s 2 . Question 5 part 1 of 2 10 points A car of mass m , initially at rest at time t = 0, is driven to the right as shown along a straight, horizontal road with the engine caus- ing a constant force vector F to be applied. While moving, the car encounters a resistance force equal to- kvectorv , where vectorv is the velocity of the car and k is a positive constant. Use a dot to represent the center of mass of the car. And on the figure, draw and label vectors to represent all the forces acting on the car as it moves with a velocity vectorv to be the right. car v g O + Determine the horizontal acceleration of the car. 1. a = F + k v m 2. a = F- k v m 3. a = k v m 4. a = F + k m v 5. a = F- k m v Question 6 part 2 of 2 10 points Derive the equation expressing the velocity of the car as a function of time t . 1. v = F k parenleftBig 1 + e k t/m parenrightBig homework 04 ALIBHAI, ZAHID 2 2. v = F k parenleftBig 1 + e k m/t parenrightBig 3. v = F k parenleftBig 1- e k m/t parenrightBig 4. v = F k parenleftBig e k t/m...
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