UNITS/VECTORS
what are the vector quanitities?
1. Displacement 2. Velocity 3. Acceleration 4. Force 5. Torque 6. Momentum 7. Electric Field 8. Weight
What are scalar quantities?
1. Distance 2. Speed 3.Work/Energy 4. Power 5. Pressure 6. Electric Potential 7. Temperature* 8. Density 9. Mass
Which of the following choices contains all vector units? A. Torque, displacement, acceleration B. Power, energy, speed C. Work, distance, force D. Temperature, angular acceleration, force E. Centripetal acceleration, pressure, density
A
What is SI for current?
Ampere (A)
What is the unit for current (l)?
Ampere (A)
what is the formula for specific heat capacity?
C = (Q)/ m delta T
What is the farad unit of capacitance?
C = [C^2] / N*m ]
What is Farad ?
C= E0A/d E0= permittivity of free space [C^2/N *m^2] A: area plates [m^2] d: distance [m]
What are the units of specific heat capacity C?
C= Q/m delta T C= [J]/[kg][K]
how do you find the resultant vector? (A+B)
Connect where A tail is and B head is
What is the unit for electric charge (C)?
Coulomb, C
All of the following are units of pressure EXCEPT one. Which one is the EXCEPTION? A. N/m2 B. Pascal C. mmHg D. atm E. kg/m x s
E
power formula + units
Energy/time or E/t = J/s or nm/s or kgm^2/s^3
what is the gravitational force formula?
F = (Gm1m2)/r^2 F= n= newtons m: mass in kg r: distance between masses in meters
What is the unit for capacitance (C)?
Farad (F)
what is the formula for the electrostatic force?
Fe= (KQ1Q2)/r^2
What are the units for the Coulombs constant K?
Fe= KQ1Q2/r^2 Fe*r^2/Q1Q2=K ( [N][m^2] )/ [C^2]
what are the units for the gravitational constant G?
G=(N * m^2 )/ kg^2
What is the unit for frequency?
Hertz (Hz)
what is the unit for work/energy?
Joule (J)
Which of the following contains all vector quantities?
Momentum, force, displacement
What is the units of torque?
N * m Newton * meters
what is the unit of netwon?
N= kg*m/s^2
What is the unit for resistance ?
Ohms (Ω)
What are the units for pressure?
P = F/A P= N/m^2 P= kg/m*s^2
what is the unit for pressure?
Pascals (Pa) or N/m^2
what is the formula for torque? theta
T= F * d * cosθ
Due to an accident on the road, a bus driver is forced to take a detour while driving students to school in the morning. If the detour adds 2 km to the morning commute, which of the following is true?
The total displacement of this trip is the same as it usually is
What is the formula for work?
W= F * d * cosθ *same as torque *
What are the units for work?
W= kg m /s^2 *m W= kg m^2 /s^2
what is the unit for power?
Watts (W) (J/s)
what is vector addition?
When adding vectors, we need to line them up head-to-tail. The resultant vector is the sum of these vectors.
When is the max resultant force obtained?
When the two forces are in the same direction. Therefore, Fnet= F1 +F2
When is the min. resultant force obtained?
When two forces are in opposite direction. Therefore, Fnet= F1-F2
what is SI for luminous intensity?
candela (cd)
For the head to tail method, how do you determine the vector sum?
do the opposite of the head to tail, connect the tail to head for the direction of vector sum
what is the parallelogram method?
draw a parallel from tip of vectors so they connect to form parallelogram shape and intersecting point is where vector sum is.
what is the head to tail method?
draw vector A, connect vector b tail to head of vector A
what is a vector quantity?
has magnitude and direction
what is a scalar quantity?
has only magnitude
what is SI for temp?
kelvin (K)
What is the unit for momentum (p)
kg m/s (N * s)
what is SI for mass
kilogram (kg)
what is SI for length?
meter (m)
Which of the following could be the resultant of two forces having magnitudes of 6 N and 8 N? A. 0 N B. 1 N C. 8 N D. 15 N E. 16 N
min result force: 8-6= 2N (opps. direction) max result force: 8 +6 = 14N (same direction) Therefore answer between 2N and 14N. C. 8N
what is SI for amt. of substance?
mole (mol)
what is the formula for pressure?
pressure = force/area P = F/A
which quantity can be only positive?
scalar
what is SI for time?
seconds (s)
Displacement is only dependant on the
starting and ending point of the trip
which scalar quantity is an exception and why?
temperature because it can be positive or negative
what is the resultant vector?
the sum of two or more vectors
what is vector subtraction?
the vector that is being subtracted will be flipped in the opposite direction.
which quantity can be positive or negative?
vector
What is the unit for electric potential (V)?
volts (V)
cos Trig function values for vector decomposition (x, y components): 1. cos 0 2. cos 30 3. cos 45 4. cos 60 5. cos 90
xcl= x component= cos= left hand ( 4 to 0 ) 1. √4/2= 2/2=1 2. √3/2 3. √2/2 4. 1/2=0.5 5. 0
sin Trig function values for vector decomposition (x, y components): 1. sin 0 2. sin 30 3. sin 45 4. sin 60 5. sin 90
ysr= y component=sin= right hand (0 to 4) 1. 0 2. 1/2=0.5 3. √2/2 4. √3/2 5. √4/2= 2/2=1
What is the vector sum of three vectors enclosed as a triangle?
zero
