Answers edited by Morgan

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• A ball with a mass of #2 kg # and velocity of #2 m/s# collides with a second ball with a mass of #1 kg# and velocity of #- 4 m/s#. If #20%# of the kinetic energy is lost, what are the final velocities of the balls?
  
• A force field is described by #<F_x,F_y,F_z> = < x , z, y > #. Is this force field conservative?
  
• An object with a mass of #8 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 5x^2-x+1 #. How much work would it take to move the object over #x in [2, 3], where x is in meters?
  
• A ball with a mass of #256 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #36 (kg)/s^2# and was compressed by #12/4 m# when the ball was released. How high will the ball go?
  
• A solid disk, spinning counter-clockwise, has a mass of #6 kg# and a radius of #3 m#. If a point on the edge of the disk is moving at #5/2 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
  
• Question #8685a
  
• An object with a mass of # 15 kg# is on a ramp at an incline of #pi/8 #. If the object is being pushed up the ramp with a force of # 7 N#, what is the minimum coefficient of static friction needed for the object to remain put?
  
• A projectile is shot at an angle of #pi/8 # and a velocity of # 10 m/s#. How far away will the projectile land?
  
• What is the angular velocity in radians per second of a flywheel that spins 4820 revolutions per minute?
  
• An object with a mass of #8 kg# is on a plane with an incline of # - pi/12 #. If it takes #8 N# to start pushing the object down the plane and #2 N# to keep pushing it, what are the coefficients of static and kinetic friction?
  
• A lamp hangs from the ceiling at a height of 2.9 m. If the lamp breaks and falls to the floor, what is its impact speed?
  
• An object with a mass of #5 kg# is revolving around a point at a distance of #2 m#. If the object is making revolutions at a frequency of #4 Hz#, what is the centripetal force acting on the object?
  
• If I throw an 18g dart from a height of 70" to a target that is 77" away & 68" high, and it takes .24 seconds to get there. Approx how heavy a dart of similar design would be required to hit the target if it's 3" further away using the same arm tempo?
  
• A wrench with a length of #20 cm# is used to unscrew a #5/2 cm# bolt. If a torque of #12 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?
  
• What is the cross product of #(- 4 i - 5 j + 2)# and #(i + j -7k)#?
  
• How much work does it take to push an object with a mass of #4 kg # up a #9 m # ramp, if the ramp has an incline of #(5pi)/12 # and a kinetic friction coefficient of # 8 #?
  
• Two charges of # 9 C # and # 2 C# are positioned on a line at points # 4 # and # -4 #, respectively. What is the net force on a charge of # 3 C# at # -2 #?
  
• Does a car accelerate when it goes around a corner at a constant speed?
  
• What torque would have to be applied to a rod with a length of #4 m# and a mass of #3 kg# to change its horizontal spin by a frequency of #5 Hz# over #1 s#?
  
• How do you name alkenes and alkynes?
  
• Question #bb8aa
  
• A block weighing #14 kg# is on a plane with an incline of #pi/12# and friction coefficient of #1/5#. How much force, if any, is necessary to keep the block from sliding down?
  
• Question #4acab
  
• A ball with a mass of #12 kg# moving at #8 m/s# hits a still ball with a mass of #15 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?
  
• A ball with a mass of #420 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #28 (kg)/s^2# and was compressed by #9/6 m# when the ball was released. How high will the ball go?
  
• A ball with a mass of #7 kg # and velocity of #2 m/s# collides with a second ball with a mass of #6 kg# and velocity of #- 3 m/s#. If #75%# of the kinetic energy is lost, what are the final velocities of the balls?
  
• How do you find the local max and min for #y=2x^3 - 5x^2 - 4x + 7#?
  
• A 0.1 g spider is suspended from a thread. What is the tension in the thread?
  
• A force field is described by #<F_x,F_y,F_z> = < x +y , 2z-y, 2y -z > #. Is this force field conservative?
  
• How does an NMR spectrometer work?
  
• How do you solve #8h ^ { 2} - 8h + 1= 0#?
  
• An object, previously at rest, slides #15 m# down a ramp, with an incline of #pi/3 #, and then slides horizontally on the floor for another #10 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• A ball with a mass of #7 kg # and velocity of #4 m/s# collides with a second ball with a mass of #2 kg# and velocity of #- 6 m/s#. If #15%# of the kinetic energy is lost, what are the final velocities of the balls?
  
• An object, previously at rest, slides #7 m# down a ramp, with an incline of #(pi)/3 #, and then slides horizontally on the floor for another #3 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• An object, previously at rest, slides #4 m# down a ramp, with an incline of #pi/3 #, and then slides horizontally on the floor for another #9 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
• An object of mass 16 kg is held in place by an applied force F and a pulley system as shown in the figure.  Find the tension T4.  Hint draw a free body diagram for the top pulley and the bottom pulley?
  
• A force field is described by #<F_x,F_y,F_z> = < xy , xy-x, 2y -zx > #. Is this force field conservative?
  
• A rock is dropped from rest from the roof of a building 100 m high. What is the velocity of the rock at the moment it reaches the ground? How long does it take to hit the ground?
  
• What are the main intermolecular forces found in a liquid sample of #CBr_4#?
  
• A hat weighing #5"N"# is placed on a hook #1.5"m"# above the ground. What is the potential energy of the hat?
  
• A wrench with a length of #20 cm# is used to unscrew a #3/2 cm# bolt. If a torque of #8 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?
  
• A 1.0 kg object moving at 10 m/s 30° N of E collides centrally with a 2.0 kg object moving at 5 m/s 30° S of W. If the collision is inelastic, what is the velocity of the combined objects after collision?
  
• Question #4b2cc
  
• The rate of rotation of a solid disk with a radius of #8 m# and mass of #2 kg# constantly changes from #2 Hz# to #8 Hz#. If the change in rotational frequency occurs over #12 s#, what torque was applied to the disk?
  
• Question #b567b
  
• How does the smoothness of a surface affect the size of friction?
  
• Question #2e2cc
  
• How do you find the derivative of #root3((6x+7))#?
  
• A projectile is shot at an angle of #pi/3 # and a velocity of # 6 m/s#. How far away will the projectile land?
  
• How do you tune a cello?
  
• How do you integrate #int x^2e^x# from 0 to 1 by integration by parts method?
  
• A wrench with a length of #24 cm# is being used to unscrew a #3 cm# bolt. If a torque of #7 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?
  
• How do you integrate #int (x^2 - 8x + 44) / ((x + 2) (x - 2)^2)# using partial fractions?
  
• A container with a volume of #4 L# contains a gas with a temperature of #270^o K#. If the temperature of the gas changes to #420^o K# without any change in pressure, what must the container's new volume be?
  
• How do you evaluate #intsin(2x)/sin(x)dx#?
  
• What is the minimum speed needed for a 2 kg mass to stay in motion in a vertical circle of radius 1.45 m?
  
• What is the angle between #<-1,8,6 ># and #< -6,3,0>#?
  
• How many mols are in 8.00 g #BeF_2#?
  
• Two charges of # 3 C # and # -7 C# are positioned on a line at points # 6 # and # 5 #, respectively. What is the net force on a charge of # 2 C# at # -2 #?
  
• Question #fee78
  
• Question #6e7c7
  
• An object with a mass of #18 kg# is on a plane with an incline of # -(5 pi)/12 #. If it takes #9 N# to start pushing the object down the plane and #4 N# to keep pushing it, what are the coefficients of static and kinetic friction?
  
• A #3.0*10^-3# kg truck traveling at 20.0 m/s in a test laboratory collides into a wall and comes to rest in 0.10 s. What is the magnitude of the average force acting on the truck during the collision?
  
• What is the average speed of an object that is moving at #18 m/s# at #t=0# and accelerates at a rate of #a(t) =t-8# on #t in [1,4]#?
  
• A ball with a mass of #150 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #24 (kg)/s^2# and was compressed by #4/3 m# when the ball was released. How high will the ball go?
  
• An object with a mass of # 3 kg# is traveling in a circular path of a radius of #2 m#. If the object's angular velocity changes from # 2 Hz# to # 16 Hz# in # 5 s#, what torque was applied to the object?
  
• Question #a9e31
  
• A box with an initial speed of #5 m/s# is moving up a ramp. The ramp has a kinetic friction coefficient of #5/4 # and an incline of #(3 pi )/4 #. How far along the ramp will the box go?
  
• How much work does it take to raise a #6 kg # weight #21 m #?
  
• A hockey player of mass 50kg runs at 20 m/s toward another player of 40kg, moving at -10 m/s. They collide. What are the final velocities of the players?
  
• What are the advantages and disadvantages of mass spectroscopy?
  
• How much work would it take to push a # 1 kg # weight up a # 4 m # plane that is at an incline of # pi / 4 #?
  
• An object with a mass of #5 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= x+xsinx #. How much work would it take to move the object over #x in [0, 8pi]#, where x is in meters?
  
• An object with a mass of #4 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 5+tanx #. How much work would it take to move the object over #x in [(pi)/12, (pi)/4]#, where x is in meters?
  
• An object with a mass of #110 g# is dropped into #750 mL# of water at #0^@C#. If the object cools by #70 ^@C# and the water warms by #5 ^@C#, what is the specific heat of the material that the object is made of?
  
• A wrench with a length of #42 cm# is being used to unscrew a #7/2 cm# bolt. If a torque of #32 Nm# is needed to overcome the friction keeping the bolt in place, what is the minimum torque that must be applied to the wrench to unscrew the bolt?
  
• An object with a mass of #5 kg# is on a plane with an incline of #pi/8 #. If the object is being pushed up the plane with # 8 N # of force, what is the net force on the object?
  
• Two charges of # -6 C # and # -3 C# are positioned on a line at points # -5 # and # 8 #, respectively. What is the net force on a charge of # 4 C# at # 2 #?
  
• How do you tell #"S"_"N"1# and #"S"_"N"2# reactions apart?
  
• Question #3df20
  
• An object, previously at rest, slides #9 m# down a ramp, with an incline of #(pi)/3 #, and then slides horizontally on the floor for another #19 m#. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
  
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