Answers edited by David G.

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• What is the standard form of #y= (x-2) (x+3) #?
  
• What is the slope intercept form of the line passing through #(1,1) # with a slope of #-1 #?
  
• What is the cross product of #<-3,0,1># and #<3,-6,4>#?
  
• Is it possible to add a scalar to a vector? Why or why not?
  
• What would happen to the acceleration due to gravity, and to our acceleration toward the centre of the Earth, if the Earth stopped rotating?
  
• A triangle has sides A, B, and C. The angle between sides A and B is #pi/4# and the angle between sides B and C is #pi/12#. If side B has a length of 15, what is the area of the triangle?
  
• A container with a volume of #5# #L# contains a gas with a temperature of #360# #K#. If the temperature of the gas changes to #120# #K# without any change in pressure, what must the container's new volume be?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• The system in the figure below is in equilibrium, with the string in the center exactly horizontal. Block A weighs 37.0 N, block B weighs 47.0 N, and angle φ is 37.0˚. What are (a) tension T1, (b) tension T2, (c) tension T3, and (d) angle θ. ?
  
• Can you take the natural log of a negative number?
  
• How much work would it take to horizontally accelerate an object with a mass of #2 kg# to #9 ms^-1# on a surface with a kinetic friction coefficient of #1 #?
  
• A spring with a constant of #1 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #2 kg# and speed of #4 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• What are the solutions of #x^2 - 2x + 9 = 0# in simplest #a + bi# form?
  
• What produces the light to make images on a television or computer screen?
  
• A sled traveling at a speed of #3.0# #ms^-1# slows to a stop #4.0# #m# from the point where its passenger rolled off. What is the magnitude of the horizontal net force that slows the #110# #N# sled?
  
• How do you convert #(-2,-2)# into polar coordinates?
  
• How do you simplify #(3+ isqrt2)/ (7-isqrt2)#?
  
• A ball with a mass of #12# #kg# moving at #8# #ms^-1# hits a still ball with a mass of #20# #kg#. If the first ball stops moving, how fast is the second ball moving? How much kinetic energy was lost as heat in the collision?
  
• How do you simplify #(y^3)(y^4)(y)#?
  
• Objects A and B are at the origin. If object A moves to #(5, -1)# and object B moves to #(-7, 8)# over #3# #s#, what is the relative velocity of object B from the perspective of object A? Assume that all units are denominated in meters.
  
• How fast will an object with a mass of #8 kg# accelerate if a force of #23 N# is constantly applied to it?
  
• #320# #g# of solid ammonium nitrite, #NH_4NO_2#, decomposes when heated according to the balanced equation: #NH_4NO_2 -> N_2+2H_2O#. What total volume of gases at #819# #K# is emitted by this reaction?
  
• If a spring has a constant of #6# #kgs^-2#, how much work will it take to extend the spring by #67# # cm #?
  
• How do you simplify #(-3+i) + (4+6i) #?
  
• Given the mass and the velocity of an object in circular motion with radius #r#, how do we calculate the magnitude of the centripetal force, #F#?
  
• An object with a mass of #7 kg# is hanging from a spring with a constant of #2 kgs^-2#. If the spring is stretched by # 9 m#, what is the net force on the object?
  
• A circuit with a resistance of #6 Omega# has a fuse that melts at #8 A#. Can a voltage of #42 V# be applied to the circuit without blowing the fuse?
  
• What is the equation of a circle with radius 9 and center (-2,3)?
  
• When chasing a hare along a flat stretch of ground, a greyhound leaps into the air at a speed of 24.48 km/hr, at an angle of 34.6°. How long is the dog in the air? How far does the dog jump? How high does the dog get?
  
• On a 50 question test, a student answered 5 questions incorrectly. What percent did the student answer correctly?
  
• Triangle A has sides of lengths #27 #, #12 #, and #18 #. Triangle B is similar to triangle A and has a side of length #3 #. What are the possible lengths of the other two sides of triangle B?
  
• What is the orthocenter of a triangle with corners at #(9 , 5 )#, #(3 , 8 )#, and #(5 ,6 )#?
  
• What is the average speed of an object that is moving at #8 ms^-1# at #t=0# and accelerates at a rate of #a(t) =t-4# on #t in [0,3]#?
  
• How do you find the rectangular coordinate of #(sqrt 1, 225^o)#?
  
• An object is thrown vertically from a height of #9 m# at #23 ms^-1#. How long will it take for the object to hit the ground?
  
• What is the dot product of #<3,-7,6 ># and #<4,1,7 >#?
  
• An object has a mass of #6# #kg#. The object's kinetic energy uniformly changes from #88# #kJ# to # 48# #kJ# over #t in [0, 6 s]#. What is the average speed of the object?
  
• What is the force acting on an electric current flowing in an electric field, in a direction parallel to that of the field lines?
  
• An object with a mass of #2 kg# is on a surface with a kinetic friction coefficient of # 9 #. How much force is necessary to accelerate the object horizontally at #6# #ms^-2#?
  
• What is the cross product of #<2 , 5 ,-3 ># and #<3 ,5 ,-2 >#?
  
• An object is thrown vertically from a height of #5 m# at # 8 ms^-1#. How long will it take for the object to hit the ground?
  
• If #F_N = 25N# and #mu_k=.13#, what is kinetic friction?
  
• How do you convert the polar coordinate ( 4.5541 , 1.2352 ) into cartesian coordinates?
  
• The potential energy of an apple is 4.5 joules. The apple is 3.2 meters high. What is the mass of the apple?
  
• An object is thrown vertically from a height of #12 m# at # 19 ms^-1#. How long will it take for the object to hit the ground?
  
• What is 'relativity' in physics? Does it mean that a colonist living on the moon will age more slowly than her sister who remains on Earth?
  
• The point (-1,8) is on a circle whose center is (2,6). What is the radius, equation, and what are the coordinates of the maximum point on the circle?
  
• If oxygen, #O_2#, effuses (spreads out) at a rate of #622.0# #ms^-1# under certain conditions of temperature and pressure, how fast will methane, #CH_4#, effuse under the same conditions?
  
• A charge of #24 C# passes through a circuit every #6 s#. If the circuit can generate #8 W# of power, what is the circuit's resistance?
  
• What type of measuring device would u use to measure the girth of a tree?
  
• An object with a mass of #5# #kg# is revolving around a point at a distance of #3# #m#. If the object is making revolutions at a frequency of #13# #Hz#, what is the centripetal force acting on the object?
  
• Circle A has a center at #(12 ,2 )# and an area of #13 pi#. Circle B has a center at #(3 ,6 )# and an area of #28 pi#. Do the circles overlap?
  
• How do you normalize #( - 4 i - 5 j + 2 k )#?
  
• Alnico is a strongly magnetic alloy (solid mixture) of Co, Ni, Al and Fe. A 100.0 g sample of Alnico has 11.2g Al, 22.3g Ni, and 5.0g Co in it; the rest is Fe. How many moles of aluminum are there?
  
• A ball with a mass of #7# #kg# moving at #14# #ms^-1# hits a still ball with a mass of #15# #kg#. If the first ball stops moving, how fast is the second ball moving?
  
• What is the kinetic energy of an object with a mass of #7 kg# that has been in freefall for #12 s#?
  
• Water is flowing through a fire hose at a rate of #450# cubic centimetres per second. What is the total negative charge being carried by the electrons in the water, and what current is that flow of charge equivalent to?
  
• A circle with center (0, 0) passes through the point (5, 12). How do you find the radius of the circle?
  
• How do you write the equation in point slope form given Point: #(5, 9)#; Slope: #2#?
  
• A car requires a constant power of #50# #hp# to maintain a constant velocity of #10# #ms^-1# (about #36# #kmh^-1#). What is the magnitude of the net force impeding motion (friction plus air resistance)?
  
• What is the unit vector that is orthogonal to the plane containing # ( - 5 i + 4 j - 5 k) # and # (4 i + 4 j + 2 k) #?
  
• In which quadrant does #(-10, 0)# lie?
  
• How do we represent the complete combustion of #"octane"#, #C_8H_18(l)#?
  
• A projectile is shot from the ground at a velocity of #1 ms^-1# at an angle of #pi/3#. How long will it take for the projectile to land?
  
• If an object is moving at #2# #ms^-1# over a surface with a kinetic friction coefficient of #mu_k=8/g#, how far will the object continue to move?
  
• What is #(20x^5)/(4x^4)#?
  
• How do you write an algebraic expression that models the word phrase "6 times a number increased by 3"?
  
• What is the distance between #(5, –1)# and #(3,7)#?
  
• How do you write # 173,000 # in scientific notation?
  
• How many covalent bonds does nitrogen form in electrically neutral compounds?
  
• A race car starts from rest and accelerates uniformly to a speed of 40 m/s in 8.0 seconds. How far will the car travel during the 8 seconds?
  
• How do you graph #y=1/2x-5# by plotting points?
  
• Consider two vectors #A=3i - 1j# and #B = - i - 5j#, how do you calculate #A + B#?
  
• Newton's Law says that for every action force there is a reaction force of the same magnitude in the opposite direction. If this is true, how can a child pull a wagon? Won't the wagon pull back just as hard?
  
• If an object is moving at #0 ms^-1# and accelerates to #60 ms^-1# over #24/5# seconds, what was the object's rate of acceleration?
  
• How do you graph #x^2+y^2=16#?
  
• How do you normalize # (-4i + 0j + 3k)#?
  
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