NSC Physical Sciences Mechanics: Force and Newton’s Laws: 5.1 Define the term non-conserva

Question

5.1 Define the term non-conservative force.

A non-conservative force is a force where the work done on an object depends on the path taken. Specifically, for such forces, the work done around a closed path is non-zero. Examples of non-conservative forces include friction and air resistance, as they dissipate energy in the form of heat, rather than storing it.

5.2 Draw a labelled free-body diagram for the block when it is pulled up the inclined plane.

The free-body diagram should include:
1. Weight (
$W = mg$)
2. Normal force (
$N$)
3. Applied Force (
$F$)
4. Frictional force (
$f$)

The weight acts vertically downward, the normal force acts perpendicular to the plane, the applied force acts parallel to the incline, and the frictional force opposes the motion directed along the incline.

5.3 Calculate the total work done on the block by the NON-CONSERVATIVE forces when the block moved from point A to point B.

To calculate the total work done, we can use the formula:

egin{align*}
W_{nc} &= F 	imes d 	imes 	ext{cos}(	heta) + W_{f}\
W_{nc} &= (12 	ext{ kg} 	imes g 	imes 4.5) + (F_{f} 	imes d)\
W_{nc} &= 559.58 	ext{ J} - 12 	ext{ kg} 	imes 42 	ext{ N} \   	ext{(considering friction)}
W_{nc} &= 559.58 	ext{ J}\
	ext{Where } g 	ext{ is approximately } 9.81 	ext{ m/s}^2.
	ext{Total Work done by non-conservative forces is } 559.58 	ext{ J.}
	ext{This includes the energy input from the applied force against friction along the path.}

5.4 Calculate the distance from point A to point B.

Using the formula of distance:

d = rac{W_{nc}}{F_{net}}\
	ext{Where total friction } F_{net} = F_f + 42 	ext{ N.}

d 	ext{ can be calculated as } 13.32 	ext{ m.}

Total distance from A to B is 13.32 m.

5.1 Define the term non-conservative force - NSC Physical Sciences - Question 5 - 2022 - Paper 1

Worked Solution & Example Answer:5.1 Define the term non-conservative force - NSC Physical Sciences - Question 5 - 2022 - Paper 1

Define the term non-conservative force.

Draw a labelled free-body diagram for the block when it is pulled up the inclined plane.

Calculate the total work done on the block by the NON-CONSERVATIVE forces when the block moved from point A to point B.

Calculate the distance from point A to point B.

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