Questions asked by Johnson Z.

• Back to user's profile
• How many grams of hydrogen are in one mole of sulphuric acid?
  
• How many milliliters of sulfuric acid is required to make an aqueous solution with a pH of 6 if the solution is 0.065 L from a bottle of 12M sulfuric acid?
  
• At #t=0#, a particle is located at #x=25m# and has a velocity of #15m/s# in the positive #x# direction. The acceleration of the particle varies with time as shown in the diagram. What is the position of the particle at #t=5.0s#?
  
• A ball rolls with a speed of #2.0m/s# across a level table that is #1.0m# above the floor. Upon reaching the edge of the table, it follows a parabolic path to the floor. How far along the floor is the landing spot from the table?
  
• Two friends each have a rock. If one person throws the rock horizontally as hard as they can and the other person just drops the rock at the exact same time and height, which rock lands first? Explain fully using words and/or diagrams.
  
• Person A travels up in an elevator at uniform acceleration. During the ride, he drops a ball while Person B shoots an arrow upwards directly at the ball. How much time will pass after Person B shot the arrow before the arrow hits the ball?
  
• A ball is kicked past a player who has a reaction time before he chases after the ball. The player accelerates to catch up to the ball rolling at constant speed. What is the time and distance the player has to run for after the ball passes the player?
  
• A basketball player rides a motorcycle off a ramp. When he is in midair, his teammate throws a ball straight up to him and he catches it to slam dunk. How far away from the bottom of the ramp should the teammate stand?
  
• How do you determine the minimum stopping distance of a motorcycle, given its velocity and the kinetic coefficient of friction?
  
• Three slabs are stacked vertically with the lowest slab being on wheels as shown below. An applied force of #44N# acts horizontally on the bottom slab. How do you find the answers to the following questions?
  
• Four airline baggage carts are coupled as shown in the figure to make a "train"; each has a mass of #250kg#. How do you find the answers to the following questions?
  
• An astronaut in space is in orbit #250# #km# above the surface of Earth. What is the gravitational acceleration on the astronaut at this altitude?
  
• A remote control car has a mass of #15.5kg# and is accelerating on the road. The car starts from rest and reaches a velocity of #11m/s[E]# in #19.5s#. What is the force applied by the car on the road? Neglect frictional forces.
  
• In a pulley system, #m_1# is #2.0kg# and #m_2# is #1.0kg#. The coefficient of kinetic friction between #m_1# and the table is #mu_k=0.15#. What is the acceleration of the pulley system?
  
• Boxes A and B are attached by a rope. They are on a platform floor attached to a helicopter that is falling. Box A is pulled #35^@# to the surface. What is the tension between A and B as they slide horizontally on the platform?
  
• A car with a mass of #1000kg# initially moving at a rate of #20m/s# rolls to a stop. What is the work done by friction? What is the force of friction if it takes a distance of #20m# for the car to stop?
  
• A roller coaster has a hill that is #20m# tall. If the roller coaster cart is moving at #20m/s# as it enters the bottom of the hill, how do you answer the following questions?
  
• A #0.5kg# rubber ball is thrown straight up into the air. At a height of #20m# above the ground, it is travelling at #15m/s#. How do you answer the following questions?
  
• Would an empty roller coaster and a full roller coaster take the same amount of time for a single trip? Explain.
  
• What type of non-constant function has the same average rate of change and instantaneous rate of change over all intervals and for all values of "x?" Explain.
  
• Why do sound waves travel fastest in solids rather than in liquids or gases?
  
• Why is Uranus tilted #98°# away from its ecliptic plane?
  
• What required transformations are needed to convert the graph of #y=2(x+3)^4+(x+3)^2+x+7# to the graph of #y=2x^4+x^2+x#?
  
• A car accelerates down a hill that is #45.0^@# to the horizontal. If the car has a #350kW# engine and takes #2.4s# to reach the bottom, what is the force of friction resisting its motion?
  
• Using the right-hand rule for forces, which way does this rod rotate?
  
• If an object is thrown straight up into the air, what is its acceleration at the top of its flight when its instantaneous velocity is zero?
  
• How do you solve for the voltages and currents in this circuit diagram?
  
• Mike is playing his speaker at an unknown frequency. His friend, Emma, gets on her bike and rides away from Mike at a uniform speed, holding an open-air column horizontally over her head. What was the frequency of the sound coming from Mike's speaker?
  
• Using the remainder theorem, how do you find the remainder of #3x^5-5x^2+4x+1# when it is divided by #(x-1)(x+2)#?
  
• Samantha invests #$1000# at #6%# per annum compounded quarterly. Mark invests #$1200# at #5.5%# per annum compounded quarterly. When will the balances in their accounts be equal?
  
• What is the exact value of #sqrt(10+sqrt(10+sqrt(10+...)))# ?
  
• What is the value of #|m|# in #root(3)(m+9)=3+root(3)(m-9)# ?
  
• How do you prove the following identity using the factorization for sum of cubes without expanding either side?
  
• Is it possible for a degree #4# polynomial function to have one zero and its corresponding equation to have #4# roots? Explain.
  
• What is the difference between x-intercepts, zeros, and roots?
  
• How do you determine the value of #A# such that #f(x)# has a point discontinuity without using trial and error?
  
• What is the acceleration of the system and the tension in the ropes joining the masses in the following diagram?
  
• What is the angular range for #theta#, for which the masses will not move in the following diagram?
  
• How do you prove that #sin5x=sinx(cos^2 2x-sin^2 2x)+2cosxcos2xsin2x#?
  
• What is the percent yield for the following chemical reaction?
  
• Why is there a pink cake beside my name on my profile page?
  
• What is the difference between scanning and transmission electron microscopy?
  
• An aqueous stock solution is #36.0%# HCl by mass and its density is #"1.18 g/mL"#. What volume of this solution is required to make #"1.00 L"# of #"1.75 mol/L"# #"HCl"_((aq))#? Give your answer in millilitres, accurate to three significant figures.
  
• A sample of indium chloride, #"InCl"_3#, is known to be contaminated with sodium chloride, NaCl. The contaminated sample is then treated with excess #"AgNO"_3#(aq). What is the percentage by mass of #"InCl"_3# in the sample?
  
• How do you write a balanced equation for this redox reaction using the smallest whole number coefficients?
  
• What is the maximum mass of #"TiCl"_4# that can be obtained from 60.5 g #"TiO"_2#, 59.9 g #"Cl"_2# and excess carbon?
  
• What is the minimum mass of oxygen, in grams, needed to burn 16.4 g #"C"_4"H"_12"O"#?
  
• Two masses are in contact on a horizontal frictionless surface. A horizontal force is applied to #M_1# and a second horizontal force is applied to #M_2# in the opposite direction. What is the magnitude of the contact force between the masses?
  
• An elevator weighing 16917 N is supported by a steel cable. What is the tension in the cable when the elevator is being accelerated upwards at a rate of #2.5m/s^2#? (#g=9.80m/s^2#)
  
• A 23.9 #kg# mass has a #3i-2jm/s# velocity and a 21.3 #kg# mass has a #3i-10jm/s# velocity. What is the magnitude of the total momentum of the two masses?
  
• A railroad freight car coasts along a level track. It collides and couples with a second car, initially at rest and with brakes released. What percentage of the freight car's initial energy is preserved in the two-coupled cars after collision?
  
• A #5.0kg# mass is released from rest at the top of a frictionless #30^@# inclined plane. What is the kinetic energy of the mass when it has slid down #40cm# down the incline starting from rest?