Answers created by Chitram Banerjee

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• Question #3993a
  
• The lengths of two parallel sides of a trapezium are 10 cm and 15 cm. The lengths of other two sides are 4 cm and 6 cm. How will you find out the area and magnitudes of 4 angles of the trapezium?
  
• Two non collinear position vectors #veca & vecb# are inclined at an angle #(2pi)/3#,where #|veca|=3 & |vecb|=4 #. A point P moves so that #vec(OP)=(e^t+e^-t)veca +(e^t-e^-t)vecb#. The least distance of P from origin O is #sqrt2sqrt(sqrtp-q)# then p+q =?
  
• How do you solve for x ? #(x-2)(x-3)=34/33^2#
  
• A #2 L# container holds #16 # mol and #24 # mol of gasses A and B, respectively. Groups of five of molecules of gas B bind to three molecules of gas A and the reaction changes the temperature from #340^oK# to #420^oK#. How much does the pressure change?
  
• A solid disk, spinning counter-clockwise, has a mass of #7 kg# and a radius of #3 m#. If a point on the edge of the disk is moving at #16 m/s# in the direction perpendicular to the disk's radius, what is the disk's angular momentum and velocity?
  
• 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 [(-5pi)/12, (pi)/3], where x is in meters?
  
• A spring with a constant of #12 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #8 kg# and speed of #3 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• A circuit with a resistance of #8 Omega# has a fuse with a capacity of #3 A#. Can a voltage of #28 V# be applied to the circuit without blowing the fuse?
  
• How do you calculate the displacement in meters that a cyclist would travel in 5.00 h at an average velocity of 12.0 km/h to the southwest?
  
• Question #907e5
  
• What happens to the frequency of light when it crosses a boundary?
  
• Question #847c0
  
• Does entropy increase or decrease during transformation of egg into chicken?
  
• An object's velocity is given by #v(t) = (t^2 -t +1 , t^3- 3t )#. What is the object's rate and direction of acceleration at #t=2 #?
  
• How fast will an object with a mass of #6 kg# accelerate if a force of #18 N# is constantly applied to it?
  
• Question #ece0e
  
• A projectile is shot from the ground at a velocity of #22 m/s# and at an angle of #(2pi)/3#. How long will it take for the projectile to land?
  
• What is the highest point of a transverse wave called?
  
• An object with a mass of #12 kg# is on a plane with an incline of # -(3 pi)/8 #. If it takes #25 N# to start pushing the object down the plane and #15 N# to keep pushing it, what are the coefficients of static and kinetic friction?
  
• A truck pulls boxes up an incline plane. The truck can exert a maximum force of #5,600 N#. If the plane's incline is #(2 pi )/3 # and the coefficient of friction is #7/6 #, what is the maximum mass that can be pulled up at one time?
  
• A charge of #6 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #36 J# to #27 J#, what is the voltage between points A and B?
  
• An object with a mass of #4 kg# is acted on by two forces. The first is #F_1= < 3 N , -4 N># and the second is #F_2 = < 2 N, 6 N>#. What is the object's rate and direction of acceleration?
  
• Triangle A has sides of lengths #48 ,24 #, and #54 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the possible lengths of the other two sides of triangle B?
  
• How much work would it take to push a # 12 kg # weight up a # 9 m # plane that is at an incline of # pi / 3 #?
  
• What is the difference between unpolarised light waves and polarised light waves?
  
• A charge of #8 C# is passing through points A and B on a circuit. If the charge's electric potential changes from #28 J# to #15 J#, what is the voltage between points A and B?
  
• A model train, with a mass of #3 kg#, is moving on a circular track with a radius of #1 m#. If the train's kinetic energy changes from #21 j# to #36 j#, by how much will the centripetal force applied by the tracks change by?
  
• Objects A and B are at the origin. If object A moves to #(-6 ,7 )# and object B moves to #(-6 ,-1 )# 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.
  
• A balanced lever has two weights on it, the first with mass #16 kg # and the second with mass #3 kg#. If the first weight is # 7 m# from the fulcrum, how far is the second weight from the fulcrum?
  
• Question #74a9b
  
• What is the average speed of an object that is still at #t=0# and accelerates at a rate of #a(t) = 16-t^2# from #t in [0, 4]#?
  
• What is the moment of inertia of a pendulum with a mass of #4 kg# that is #4 m# from the pivot?
  
• An object with a mass of #4 kg# is lying still on a surface and is compressing a horizontal spring by #7/8 m#. If the spring's constant is #16 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
  
• How can you use trigonometric functions to simplify # 9 e^( ( 11 pi)/6 i ) # into a non-exponential complex number?
  
• A parallelogram has sides with lengths of #4 # and #8 #. If the parallelogram's area is #32 #, what is the length of its longest diagonal?
  
• What is the projection of # <0,8,5># onto #<1,2,-4>#?
  
• A hunter uses a laser range finder to find out the distance to his target. If it takes #5.4*10^-7# seconds for the light beam to return to the rangefinder after the hunter turns it on, how far away is the deer?
  
• How do you factor completely #x^2 + 12xy + 35y^2#?
  
• An object with a mass of #3 kg# is acted on by two forces. The first is #F_1= < -2 N , -5 N># and the second is #F_2 = < 7 N, 1 N>#. What is the object's rate and direction of acceleration?
  
• Question #66689
  
• A ball with a mass of #480 g# is projected vertically by a spring loaded contraption. The spring in the contraption has a spring constant of #18 (kg)/s^2# and was compressed by #6/5 m# when the ball was released. How high will the ball go?
  
• What is the relative speed of particles in a liquid?
  
• How do you solve #2x^2=8x+12# by completing the square?
  
• Question #a6885
  
• A spring with a constant of #5 (kg)/s^2# is lying on the ground with one end attached to a wall. An object with a mass of #6 kg# and speed of #12 m/s# collides with and compresses the spring until it stops moving. How much will the spring compress?
  
• An object with a mass of #5 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 2 N#, what is the minimum coefficient of static friction needed for the object to remain put?
  
• A #5 L# container holds #16 # mol and #6 # mol of gasses A and B, respectively. Every three of molecules of gas B bind to four molecule of gas A and the reaction changes the temperature from #320^oK# to #450 ^oK#. By how much does the pressure change?
  
• The position of an object moving along a line is given by #p(t) = 2t - t^2cos(( pi )/3t) #. What is the speed of the object at #t = 5 #?
  
• An object's two dimensional velocity is given by #v(t) = (3t-sqrtt , t^3- 3t )#. What is the object's rate and direction of acceleration at #t=3 #?
  
• Question #b3589
  
• An object with a mass of #16 kg# is lying still on a surface and is compressing a horizontal spring by #7/8 m#. If the spring's constant is #12 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?
  
• An object has a mass of #9 kg#. The object's kinetic energy uniformly changes from #135 KJ# to # 36KJ# over #t in [0, 6 s]#. What is the average speed of the object?
  
• How do you graph #y=-4cos(x/2) + 2#?
  
• Is #9x^2 + 12xy + 9y^2# a perfect square trinomial?
  
• Can someone help explain the reasoning behind this question?
  
• A cone has a height of #18 cm# and its base has a radius of #5 cm#. If the cone is horizontally cut into two segments #12 cm# from the base, what would the surface area of the bottom segment be?
  
• Question #9c493
  
• A wrench with a length of #25 cm# is used to unscrew a #3/2 cm# bolt. If a torque of #1 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 pulley system with 75% efficiency is set up to lift a 21kg bag of nails. The bag is lifted to a height of 2.3m by a person pulling on the rope with a force of 91.5N. What is the work done on the bag of nails by the pulley?
  
• Question #6cdbd
  
• Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air?
  
• A model train, with a mass of #4 kg#, is moving on a circular track with a radius of #8 m#. If the train's kinetic energy changes from #32 j# to #0 j#, by how much will the centripetal force applied by the tracks change by?
  
• An astronaut with a mass of #75 kg# is floating in space. If the astronaut throws a #4 kg# object at a speed of #6 m/s#, how much will his speed change by?
  
• An object with a mass of #18 kg# is hanging from an axle with a radius of #12 cm#. If the wheel attached to the axle has a radius of #28 cm#, how much force must be applied to the wheel to keep the object from falling?
  
• The kinetic energy of an object with a mass of #1 kg# constantly changes from #126 J# to #702 J# over #9 s#. What is the impulse on the object at #5 s#?
  
• How much work would it take to horizontally accelerate an object with a mass of #8# #kg# to #4# #ms^-1# on a surface with a kinetic friction coefficient of #1 #?
  
• A circle has a chord that goes from #pi/3 # to #pi/2 # radians on the circle. If the area of the circle is #49 pi #, what is the length of the chord?
  
• An object with a mass of # 2 kg# is traveling in a circular path of a radius of #2 m#. If the object's angular velocity changes from # 3 Hz# to # 9 Hz# in # 1 s#, what torque was applied to the object?
  
• The position of an object moving along a line is given by #p(t) = 3t - 2cos(( pi )/8t) + 2 #. What is the speed of the object at #t = 3 #?
  
• A 2-meter-tall astronaut standing on Mars drops her glasses from her nose. How long will it take the glasses to reach the ground?
  
• How do you write the equation in slope intercept form given (-1,-2):(0,0)?
  
• A charge of #18 C# passes through a circuit every #12 s#. If the circuit can generate #1 W# of power, what is the circuit's resistance?
  
• An object with a mass of # 4 kg# is lying on a surface and is compressing a horizontal spring by #50 cm#. If the spring's constant is # 6 (kg)/s^2#, what is the minimum value of the surface's coefficient of static friction?