Question 1
A textbook of mass 2 kg rests on a flat desk. What is the magnitude of the normal force acting on the book? (Use N/kg)No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Direct ApproachStep 1: Identify the forces acting on the book
The book is at rest on a flat surface. The forces acting on it are weight () pulling downward and normal force () pushing upward.
Step 2: Calculate the weight of the book
Using the formula :
Step 3: Apply the equilibrium condition
Since the book is stationary, the net force is zero. This means the forces are balanced: N = W = 19.6 N.
Step 4: Select the correct answer
The normal force is 19.6 N, which matches the first option.
Method #2Process of EliminationStep 1: Identify what is being asked
We need to find the normal force on a 2 kg book resting on a flat desk. Since the book is stationary, forces must be balanced, so .
Step 2: Eliminate '2 N'
2 N is simply the mass in Newtons, which is incorrect — mass is measured in kilograms, not Newtons, and the normal force equals weight, not mass.
Step 3: Eliminate '9.8 N'
9.8 N would be the weight of a 1 kg object, not a 2 kg object. This confuses with .
Step 4: Eliminate '4.9 N'
4.9 N = , which has no physical meaning here. Someone might mistakenly divide instead of multiply.
Step 5: Select the correct answer
N, so the normal force is 19.6 N.
Question 2
In a free body diagram, what does the length of a force arrow represent?No clue? Show me the answer
Correct answer
Correct!
IncorrectStep-by-step walkthrough
Choose a solution method
Method #1Direct ApproachStep 1: Recall how arrows represent forces in FBDs
In a free body diagram, each force is drawn as an arrow with two key properties: direction and length.
Step 2: Apply the arrow conventions
The direction of the arrow shows which way the force acts. The length of the arrow represents the relative magnitude — a longer arrow means a stronger force.
Step 3: Select the correct answer
The length of a force arrow represents the relative magnitude (size) of the force.
Method #2Process of EliminationStep 1: Identify what is being asked
We need to identify what the length of an arrow in a free body diagram represents.
Step 2: Eliminate 'the direction in which the object moves'
Direction of motion is shown by which way the arrow points, not by its length. Also, FBD arrows show forces, not object motion.
Step 3: Eliminate 'the time for which the force acts'
Time is not represented visually in a free body diagram at all — FBDs show forces at a single moment, not over time.
Step 4: Eliminate 'the distance over which the force acts'
Distance is also not shown in FBDs. That concept relates to work done, not free body diagrams.
Step 5: Select the correct answer
The length of a force arrow represents the relative magnitude (size) of the force — longer arrows indicate stronger forces.
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