Question

. Figure I is a map showing force lines and equal energy contours for a plane in a conservtive 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. J/kg 0 J/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 l 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 alo any path that ends where it started. Since Figure 1 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 Tablel () Assume that the distance between neighbouring energy contours in the map of Figure l is 1 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?

Answer 1

				Energy Level	Distance	Energy difference	energy required to move (J)
			A	9
			B	3	A-B	6	6 (+ve)
			C	3	B-C	0	0
			D	3	C-D	0	0
			E	6.5	D-E	3.5	3.5 (-ve)
			F	6.5	E-F	0	0
			G	9	F-G	2.5	2.5 (-ve)
						Sum	0
			d) energy required to move from A-G is shown in table
	e) Total energy required from A-B-C-D-E-F-G-A is zero
	f) The energy at point A is 9 J as per the configuration
	g) at point C enegry is 3J and energy difference while moving can be found out from table