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Exam (elaborations)

CLASSICAL MECHANICS correct and verified answers(graded A+}

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CLASSICAL MECHANICS correct and verified answers(graded A+} real What is friction? - correct answer-Friction works to oppose motion between surfaces, up to some maximum opposing force. - works AGAINST us e.g. wear and tear - works FOR us e.g. keeps car on road -An object will remain in constant motion unless a resultant force acts on it - 1st law=law of inertia - it is not always valid. When it is valid, it is called an inertial reference frame e.g. A plane travels at a constant speed and has a ball inside which remains at rest. However, if the plane begins to accelerate the ball will roll backwards, so the 1st law is not valid (not an inertial reference frame) Define Scalar - correct answer-A quantity with magnitude Define Vector - correct answer-A quantity with direction AND magnitude Vectors are equal if... what? - correct answer- magnitude and direction are equal Does the dot product produce a scalar or a vector? - correct answer-A scalar What does {a} . {b} equal? - correct answer- |{a}||{b}|cosθ Is the cross product parallel or perpendicular to {a} and {b}? - correct answer-PERPENDICULAR According to RHR: 1) point fingers towards a 2) curl towards b 3) thumb gives direction What is dimensional analysis? - correct answer-A way to analyze and solve problems using the units, or dimensions, of the measurements mass - M length - L time - T What is dimensional homogeneity? - correct answer-To check units on the RHS and LHS of the equation are the same. Define displacement - correct answer-The change in position, which is the vector pointing from x(i) to x(f) Define velocity - correct answer-The rate of change of position, a vector whose x-component is the x- component of the displacement divided by the time interval What is the equation for average velocity? - correct answer-Vavg= Total displacement / Time (x- component of both displacement and velocity can be +ve or -ve) What is the equation for average speed? - correct answer-total distance/total time (always positive) As the time interval gets shorter and shorter, the average velocity approaches....what? - correct answer-Instantaneous velocity What is the equation for instantaneous velocity? - correct answer- What is the equation for average acceleration? - correct answer- What is the equation for instantaneous acceleration? - correct answer- What are the equations of motion? (kinematic equations) - correct answer-vₓ=v₀ₓ+aₓt x=x₀+v₀ₓt+1/2(aₓt²) v²ₓ=v²₀ₓ+2aₓ(x-x₀) x=x₀+t(v₀ₓ+vₓ)/2 What is a unit vector? - correct answer-A dimensionless vector of unit magnitude Average velocity vector equation - correct answer- Instantaneous velocity vector equation - correct answer- Average acceleration vector equation - correct answer- Instantaneous acceleration vect

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CLASSICAL MECHANICS
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Uploaded on
August 4, 2024
Number of pages
36
Written in
2024/2025
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CLASSICAL MECHANICS correct
and verified answers(graded
A+}



real
What is friction? - correct answer-Friction works to
oppose motion between surfaces, up to some
maximum opposing force.
- works AGAINST us e.g. wear and tear
- works FOR us e.g. keeps car on road

,-An object will remain in constant motion unless a
resultant force acts on it
- 1st law=law of inertia
- it is not always valid. When it is valid, it is called an
inertial reference frame
e.g.
A plane travels at a constant speed and has a ball
inside which remains at rest. However, if the plane
begins to accelerate the ball will roll backwards, so
the 1st law is not valid (not an inertial reference
frame)


Define Scalar - correct answer-A quantity with
magnitude


Define Vector - correct answer-A quantity with
direction AND magnitude

,Vectors are equal if... what? - correct answer-
magnitude and direction are equal


Does the dot product produce a scalar or a vector? -
correct answer-A scalar


What does {a} . {b} equal? - correct answer-
|{a}||{b}|cosθ


Is the cross product parallel or perpendicular to {a}
and {b}? - correct answer-PERPENDICULAR
According to RHR:
1) point fingers towards a
2) curl towards b
3) thumb gives direction


What is dimensional analysis? - correct answer-A
way to analyze and solve problems using the units,
or dimensions, of the measurements

, mass - M
length - L
time - T


What is dimensional homogeneity? - correct
answer-To check units on the RHS and LHS of the
equation are the same.


Define displacement - correct answer-The change in
position, which is the vector pointing from x(i) to
x(f)


Define velocity - correct answer-The rate of change
of position, a vector whose x-component is the x-
component of the displacement divided by the time
interval


What is the equation for average velocity? - correct
answer-Vavg= Total displacement / Time (x-

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