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Question #bb8aa

How do you find the derivative of #root3((6x+7))#?

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 name alkenes and alkynes?

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?

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) =t8# on #t in [1,4]#?

What is the cross product of #( 4 i  5 j + 2)# and #(i + j 7k)#?

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?

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?

What is the angular velocity in radians per second of a flywheel that spins 4820 revolutions per minute?

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?

How do you solve #8h ^ { 2}  8h + 1= 0#?

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?

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?

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?

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?

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 #?

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?

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?

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?

Question #6e7c7

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?

Question #8685a

How do you integrate #int (x^2  8x + 44) / ((x + 2) (x  2)^2)# using partial fractions?

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 #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?

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 force field is described by #<F_x,F_y,F_z> = < xy , xyx, 2y zx > #. Is this force field conservative?

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 #?

Question #fee78

What are the main intermolecular forces found in a liquid sample of #CBr_4#?

How does an NMR spectrometer work?

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 angle between #<1,8,6 ># and #< 6,3,0>#?

How do you tune a cello?

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?

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 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?

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?

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?

How much work does it take to raise a #6 kg # weight #21 m #?

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?

What is the minimum speed needed for a 2 kg mass to stay in motion in a vertical circle of radius 1.45 m?

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, 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?

A projectile is shot at an angle of #pi/3 # and a velocity of # 6 m/s#. How far away will the projectile land?

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?

A projectile is shot at an angle of #pi/8 # and a velocity of # 10 m/s#. How far away will the projectile land?

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 force field is described by #<F_x,F_y,F_z> = < x +y , 2zy, 2y z > #. Is this force field conservative?

Question #4acab

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 #?

How do you find the local max and min for #y=2x^3  5x^2  4x + 7#?

How does the smoothness of a surface affect the size of friction?

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 #a9e31

A force field is described by #<F_x,F_y,F_z> = < x , z, y > #. Is this force field conservative?

How do you integrate #int x^2e^x# from 0 to 1 by integration by parts method?

How do you tell #"S"_"N"1# and #"S"_"N"2# reactions apart?

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 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?

How do you evaluate #intsin(2x)/sin(x)dx#?

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?

Does a car accelerate when it goes around a corner at a constant speed?

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 #8 kg# is pushed along a linear path with a kinetic friction coefficient of #u_k(x)= 5x^2x+1 #. How much work would it take to move the object over #x in [2, 3], where x is in meters?

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 many mols are in 8.00 g #BeF_2#?

A 0.1 g spider is suspended from a thread. What is the tension in the thread?

Question #2e2cc

Question #b567b

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 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?

Question #4b2cc

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?

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?

A solid disk, spinning counterclockwise, 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?

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?

Question #3df20

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?

What are the advantages and disadvantages of mass spectroscopy?

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