Answers created by Chitram Banerjee
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Question #3993a
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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?
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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 =?
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How do you solve for x ?
(x-2)(x-3)=34/33^2
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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?
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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?
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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?
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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?
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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?
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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?
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Question #907e5
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What happens to the frequency of light when it crosses a boundary?
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Question #847c0
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Does entropy increase or decrease during transformation of egg into chicken?
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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 ?
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How fast will an object with a mass of 6 kg accelerate if a force of 18 N is constantly applied to it?
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Question #ece0e
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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?
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What is the highest point of a transverse wave called?
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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?
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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?
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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?
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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?
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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?
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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 ?
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What is the difference between unpolarised light waves and polarised light waves?
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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?
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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?
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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.
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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?
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Question #74a9b
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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]?
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What is the moment of inertia of a pendulum with a mass of 4 kg that is 4 m from the pivot?
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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?
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How can you use trigonometric functions to simplify 9 e^( ( 11 pi)/6 i ) into a non-exponential complex number?
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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?
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What is the projection of <0,8,5> onto <1,2,-4>?
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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?
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How do you factor completely x^2 + 12xy + 35y^2?
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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?
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Question #66689
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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?
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What is the relative speed of particles in a liquid?
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How do you solve 2x^2=8x+12 by completing the square?
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Question #a6885
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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?
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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?
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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?
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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 ?
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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 ?
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Question #b3589
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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?
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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?
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How do you graph y=-4cos(x/2) + 2?
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Is 9x^2 + 12xy + 9y^2 a perfect square trinomial?
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Can someone help explain the reasoning behind this question?
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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?
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Question #9c493
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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?
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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?
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Question #6cdbd
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Two tuning forks with frequencies of 256 Hz and 512 Hz are struck. Which of the sounds will move faster through the air?
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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?
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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?
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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?
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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?
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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 ?
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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?
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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?
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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 ?
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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?
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How do you write the equation in slope intercept form given (-1,-2):(0,0)?
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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?
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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?