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175 Cards in this Set
- Front
- Back
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What is the Square Root of 2?
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1.4
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What is the Square Root of 3?
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1.7
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What is the Square Root of 10?
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3.1
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What is the Square Root of 20?
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4.4
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What is the Square Root of 30?
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5.5
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What is the Square Root of 40?
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6.3
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What is the Square Root of 60?
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7.7
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What is the Square Root of 70?
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8.3
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What is the Square Root of 90?
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9.5
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What is the Square Root of .5?
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.7
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What is the distance traveled if a car starting at rest, reaches 20m/s in 4s.
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40m d=1/2(v-v')t
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In a position vs time graph, what does the slope represent?
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Velocity
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In a velocity vs time graph, what does the slope represent?
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Acceleration
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What does the area under a velocity vs time graph represent?
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displacement
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What does the area under an acceleration vs time graph represent?
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Change in Velocity
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At what angle does a projectile rich its maximum range?
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45 degrees
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What is the equation for range?
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Vtcosθ
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What is the equation for the vertical component of the velocity?
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V=gt/2
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What is the sin of 0?
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0
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What is the cos of 0?
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1
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What is the sin of 30?
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.5
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What is the cos of 30?
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Square root of 3/2
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What is the sin of 45?
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Square root of 2/2
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What is the sin of 60?
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Square root of 3/2
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What is the cos of 60?
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1/2
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What is the sin of 90?
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1
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What is the cos of 90?
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0
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What is the acceleration due to gravity of an object of mass 10^20kg and radius 10^10m?
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.67m/s^2 GM/r
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If object A is shot from 60 degrees and object B is shot from 30 degrees at the same velocity, which one will travel farther and why?
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They will travel the same distance, because angles equidistant from 45 degrees have the same range
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What will happen to an object's flight path if its mass is increased by a factor of 2? (neglect air resistance)
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The flight path will not change if their is no air resistance
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what is the force of gravity parallel to an inclined plane?
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mgsinθ
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What is the force exerted by an inclined plane on an object?
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mgcosθ
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If an object of 1000N is pulled by 5 pulleys, what is the new required force?
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200N
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What is the equation for torque?
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Torque=rFsinθ
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What will r and F always add up to?
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180
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Which is considered the positive direction of torque: Clockwise or Counterclockwise?
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Counterclockwise
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What is the equation for torque using the lever arm?
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torque=LF
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If the length of the lever arm changes by 8 in 2 seconds, what is the torque?
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8/2=4
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What is true if an object is in static equilibrium?
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Velocity is zero
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What is true if an object is in translational equilibrium?
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Acceleration is zero
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What is true if an object is in rotational equilibrium?
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There is no rotational acceleration and there is no net torque
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What is an object's inertia dependent on?
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Its mass and mass distribution
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When will the inertia of an object be smallest?
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When the axis of rotation passes through the center of mass
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An object with an inertia of 4.5 has a rotational acceleration of 2, what is the value of the net torque?
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4.5x2=9
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What does the area under a P vs V curve represent?
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Work
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If an object is moving at 5m/s by a force of 3N, what is the power?
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15
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How many watts are in 1hp?
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750
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What is the work energy theorem?
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KE-KE'=work done on an object
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If an object weighing 10N at 5m falls to 3m, how much work does gravity do?
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10(3)-10(5)=-20J
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In the following equation, where would one insert the value for W by friction: E initial=E final?
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E initial + W friction = E final
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What is the equation for Mechanical Advantage?
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Effort(input) distance/resistance (output)distance
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What is the equation for efficiency?
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W out/E in
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Convection
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Transfer of heat due to random motion of particles
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What is the change in momentum of a 10N force over 5s?
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50 J=FΔt
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What is the angular momentum of an object with a lever arm of 3m, a mass of 4kg, and a velocity of 2m/s?
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24 Lmv
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2^1/2
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1.4
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What is the specific gravity of a substance with a density of 4kg/m^3
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.004
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What is the equation for the bouyant force?
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ρVg
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What is the equation for hydrostatic gauge pressure?
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ρgD
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What is the total pressure of a system with a gauge pressure of 5 at 1atm?
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6
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When will an object float?
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When V/V=ρ/ρ
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The force produced by a fluid in a pipe of area 2m^2 is 10N. What is the force produced when the pipe is 1m^2?
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5N
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A fluid travels a distance of 5m in a pipe with an area of 2m^2. How far will the fluid travel in a pipe half that size?
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10m
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A fluid exerts a force of 20N over a distance of 2m. What is the force exerted by the same fluid over a distance of 4m?
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10N
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What is the equation for surface tension?
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2γL
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If the temperature of a substance is increased, what happens to its surface tension?
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It decreases
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Calculate the flow rate of a fluid moving 5m/s through a pipe of area 2m^2.
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10
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A fluid moves 2m/s through a pipe of area 2m^2. What is the velocity of the same fluid when the pipes area increases to 4m^2?
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1m/s
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What is Bernoulli's Equation?
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P1+ ½ ρv^2+ρgy = P2+ ½ ρv^2'+ρgy'
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What velocity of efflux of a fluid 2m from a hole?
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approximately 40
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In moving fluids is pressure lowest where flow speed is greatest or smallest?
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greatest
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Bulk Modulus
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ΔP/ΔV
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Compressive strain
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ΔL/L
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Young's Modulus
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F/A x L/ΔL
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Shear Modulus
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F/A * L/Δx
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Thermal Expansion
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ΔL=LαΔT
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Volume Expansion
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ΔV=VβΔT
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If the maximum kinetic energy of a spring is 1/2mv^2, what is the maximum potential energy?
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1/2kA^2
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If a system in SHM has an amplitude of .5m with a mass of 1kg and a k of 4, what is the maximum velocity?
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V=A sqrt(k/m) = 1m/s
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What is the frequency of a system in SHM with a period of 1s?
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1/2π
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What is the angular velocity of a system in SHM with a frequency of 4Hz?
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8π
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What is the spring constant of a system in SHM with a frequency of 4Hz and a mass of 2kg?
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16π
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What is the maximum acceleration of a system in SHM with a k of 14, a mass of 7kg, and an amplitude of 2m?
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a=(k/m)A=4
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What is the frequency of a pendulum with a L of 2.5m?
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f=(1/2π)sqrt(g/2.5m)=1/π
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What is the period of a pendulum with a L of 5m?
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T=(2π)sqrt(L/g)=1.4π
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What is the speed of a wave dictated by?
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The type of wave and characteristics of the medium
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When a wave passes from one medium to another, by how much does its frequency change?
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its frequency does not change, but its speed does
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Standing waves
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Have same frequency and amplitude, but move in opposite directions
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what is the wavelength of the fundamental overtone of a standing wave with length 5m?
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λ=2L/n=10
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How long is the distance between nodes of a standing wave?
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(1/2)λ
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What is the wavelength of the 3rd overtone of a standing wave with a fundamental wavelength of 21m?
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7m
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What is the fundamental frequency of a standing wave of length 2 and velocity of 8x10^2m/s?
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f=(8x10^2/4)=2x10^2Hz
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What does the speed of sound depend on?
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The medium's resistance to compression and the medium's density
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What is the wavelength of the 2nd overtone of an open-open tube with L=5m?
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5m
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What is the frequency of the second harmonic in an open-open tube if L=2?
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340x2/4=170Hz
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What is the wavelength of the 2nd overtone in an open-closed tube of Length 3m?
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λ=4(3)/3=4
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What is the frequency of the 3rd overtone in an open-closed tube with a Length of 1m?
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f=(340)(5)/4=425Hz
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By how much does the intensity of a sound level increase if it is increased by 3dB?
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The intensity is doubled
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What is the intensity of a 10dB sound?
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1x10^-11
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What is the intensity of a sound produced by a speaker with a power of 100W at a distance of 5m?
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I=100/4π(25)=1/π
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What is the frequency of a 300Hz sound that an observer will hear moving 170m/s away from the source?
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150Hz
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What is the frequency of a 500Hz sounds that an observer will hear if the source is moving towards the observer at 170m/s?
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1000Hz
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What is lowest possible value for the dielectric constant?
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1
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When a dielectric of K=2 is added to a disconnected capacitor, what happens to the capacitance?
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Doubles
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When a dielectric of K=2 is added to a disconnected capacitor, what happens to the Voltage?
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Halves
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What happens to Q of a disconnected capacitor when a dielectric is added?
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Q is unchanged
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When a dielectric is added to a disconnected capacitor, does the electric field increase or decrease?
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Decreases
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What happens to the potential energy stored by a disconnected capacitor when a dielectric of K=4 is added?
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Decreases by 4
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When a dielectric is added to a connected capacitor, does the capacitance increase or decrease?
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Increases
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Does the Voltage of a connected capacitor change when a dielectric is added?
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No
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A dielectric constant with a K of 1.5 is added to a connected capacitor. By how much does Q increase or decrease by?
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Increases by 1.5
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By how much does the electric field change when a dielectric is added to a connected capacitor?
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It doesn't change
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The stored PE of a connected capacitor is 15J. What is the resulting PE when a dielectric of K=2 is added?
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30J
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Vrms of a circuit is 20V. What is the Vmax?
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28
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The Vrms is 10V and the Irms is 2A. What is the average power?
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20W
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What is the power dissipated by a 20ohm resistor and an Irms of 4A?
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320W
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What is the magnetic force acting on a 3C charge moving at 2m/s in a magnetic field of 10T?
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60N
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What is the magnetic force produced by a wire of length 5m with a current of 5A and a magnetic field of 5T?
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125N
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Is F perpendicular, parallel, or antiparallel to v and B?
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perpendicular
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How much work does a magnetic force of 25N do over a distance of 4m?
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No work
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As the magnetic field due to a wire increases what happens to the current?
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Increases
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The magnetic field produced by a wire is proportional or inversely proportional to the radius of the wire?
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Inversely proportional
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Increasing the length of a solenoid will increase or decrease the magnetic field?
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Decreasing
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The number of turns of a solenoid is doubled. What is the resulting magnetic field if the original magnetic field was 20T?
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40T
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Two wires with current 1A that are 1m apart exert a force equal to__________.
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2x10^-7
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In which direction does the magnetic field run in magnets?
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South to North
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What kind of electromagnetic ray has the most energy?
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Gamma ray
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Order these electromagnetic rays in increasing order of energy: UV, X, Gamma, Visible.
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Visible<UV<X<Gamma
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Order these electromagnetic rays in decreasing order of wavelength: micro, radio, IR, Visible.
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Radio<micro<IR<visible
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What is the equation for the critical angle of reflection?
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sinθcrit=n2/n1
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If light moves 5% slower in mud, what is the index of refraction of mud?
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(3x10^8)(5x10^-2)=1.5x10^5
3x10^8/1.5x10^5=2x10^3 |
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What needs to be true for total internal reflection to occur?
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n1 has to be greater than n2
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What is the focal length of a convex mirror with a radius of 5m?
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1/2(5)=2.5m
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Convex mirrors have negative or positive focal lengths?
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Negative
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What is the equation for focal length, image distance, and object distance?
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1/f=1/do+1/di
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What does a positive value for di mean for mirrors?
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The image is real and is in front of mirror
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What does a negative di value mean for mirrors?
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The image is virtual and is behind the mirror
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What is the m value if di=-4m and do=2m.
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2
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_______images are inverted
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real
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Is the focal length positive or negative for concave lenses?
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negative
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Are real images behind or in front of lenses?
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behind
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Virtual images are in front or behind lenses?
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in front
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What is the power of a lens with a focal length of 2m?
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.5
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What is the general equation for a proportional relationship?
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y=nx
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What kind of mathematical relationship does y=x^n indicate?
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exponential
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An inversely proportional relationship has a mathematical equation of ______.
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y=1/x
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What is the energy dissipated by a 20ohm resistor with a current of .5A?
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5
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What is the energy dissipated by a battery with a current of .25A and a voltage of 10?
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2.5
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What does the net charge on a capacitor equal to?
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0
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What is the charge on a capacitor with a capacitance of 4C/V and a voltage of 10?
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40C
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What is the equation for capacitance given area and distance between capacitors?
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C=ε A/d
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Does capacitance depend on Q, V, or area of capacitor?
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Area
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What is the voltage of a capacitor in a uniform electric field of 5N/C and a distance of 5m?
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25V
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What is the PE stored in a capacitor of charge 10C and a voltage a 5V?
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25J
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What is the PE stored in a capacitor with a capacitance of 4C/V and a voltage of 5V?
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50J
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What is the PE stored in a capacitor with a charge of 4C and a capacitance of 8C/V?
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1J
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What is the net capacitance if 3 capacitors each with a capacitance of 4C/V are connected in parallel?
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12C/V
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What is the frequency heard by a person moving away from a source at 160m/s that is moving away from them at 90m/s if the original frequency is 100Hz?
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(340+160)/(340-90)100=200Hz
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What is the total charge of 2 electrons?
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2(1.6x10^-19)=3.2x10^-19
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If the electrostatic force is negative is it repulsive or attractive?
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Attractive
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In which direction does the electric field of a positive charge point?
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Away
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What is the equation for the electric field generated by a source charge?
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E=k Q/r^2
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What is the force acting on a 2C charge in a uniform electric field of 4N/C?
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8N
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Does the direction of the force acting on a positive charge point parallel or antiparallel to the electric field?
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parallel
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What is the magnitude of the electric field inside of a conductor?
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0
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What is the equation for the electric potential at a certain distance away from a point charge?
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k Q/r
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What is the change in PE of a 2C charge if the electric potential changes from 10 to 5J/C.
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10J
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What is the change in kinetic energy of a point charge if the change in potential energy is -10J.
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10J
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A positive charge moves from a higher to a lower potential. Does it gain or lose KE?
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Gains KE
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A negative charge moves from a higher potential to a lower potential. Does it gain or lose KE?
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Loses KE
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How many joules are in 1eV?
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1.6x10^-19J
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What is the equation for resistance when given length and area?
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R=ρ L/A
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If a positive voltage becomes negative, what happens to the current?
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Changes direction
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Which terminal is at a higher potential in a DC battery: the positive or negative terminal?
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positive terminal
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In which direction does the current flow in a DC battery?
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opposite to the flow of electrons
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