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I. igure is a map showing force lines and equal energy contours for a plane in a conservative field. The energy contours have units of J/kg. This means that the amount of energy transferred to/from the field as an object is moved depends on the mass of the object. This also means that the force acting on an object depends on the mass of the object. (a) If an object is moved from a position where its centre of mass is at point A to a position where its centre of mass is at point B, is energy transferred to or retrieved from the field (i.e, does the mover do positive or negative work on the object in moving it from point A to point B)? If the mover does positive work, then energy is being transferred to the field. (b) How much energy is transferred to the field if an object that has a mass of I kg is moved from a position where its centre of mass is at point A to a position where its centre of mass is at point B? (c) How much energy is transferred to the field if a 1 kg object is moved from a position where its centre of mass is at point D to a position where its centre of mass is at point A? kg Jkg o kg Figure 1: Conservative Force Field with Energy contours in steps of J/kg(d) Construct a table as shown in Table 1. Determine the amount of energy that the mover must supply (i.e. the amount of energy transferred to the field) to move a 1 kg mass between the points listed in Table 1 e) A force field is conservative if and only if it takes 0 J of energy to move an object along any path that ends where it started. Since Figure I is a map of a conservative field it should require a net of 0 J of energy to move a 1 kg object along the path A-B-C-D E-F G-A. Verify that this is true using your values from Table I (f) Assume that the distance between neighbouring energy contours in the map of Figure 1 is I meter. What is the magnitude of the force exerted by the field on a kg mass located at point A? (Recall that the average force on an object in a force field is the amount of energy transferred to the object from the field divided by the distance moved in the direction of the force field (g) What is the magnitude of the force exerted by the field on a kg mass located at point C? (h) Does the strength of the field (i.e, the force) depend on the location of the mass? () A I kg mass is moved in a straight line from point D to point A. Assume the distance between energy contours and the distance between force lines are both I! m i. Over what distance is the object moved? ii What is the magnitude of the component of the fore due to the ficld that direetly ii Does the work done to move an object from point D to A equal the directly-opposing iv. What is the magnitude of the component of the force that acts at a right angle to the la 1 Fnrrry table for moving a I kg mass opposes the motion? force times the distance between points D and A tion of movement?ly-opposing force times the distance between points D and A2 direction of movement? ii What is the magnitud onent of the force that acts at a right angle to the Table 1: Energy table for moving a 1 kg mass move 1 kg objectEnergy spent by mover From to to overcome force due to field

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