Answers edited by ali ergin
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How do you simplify sqrt77*sqrt33?
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An object, previously at rest, slides 9 m down a ramp, with an incline of (pi)/6 , and then slides horizontally on the floor for another 24 m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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What is the derivative of x*x^(1/2)?
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How do you solve the following system: 6x+2y=-4, 3x - 4y = -10?
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A spring with a constant of 6 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 1 kg and speed of 4 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?
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What is the average speed of an object that is not moving at t=0 and accelerates at a rate of a(t) =10-2t on t in [3, 5]?
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How do you integrate int (x+1)/(x^2 + 6x) using partial fractions?
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A balanced lever has two weights on it, the first with mass 72 kg and the second with mass 9 kg. If the first weight is 2 m from the fulcrum, how far is the second weight from the fulcrum?
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A projectile is shot at a velocity of 3 m/s and an angle of pi/8 . What is the projectile's peak height?
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A ball with a mass of 2 kg is rolling at 9 m/s and elastically collides with a resting ball with a mass of 1 kg. What are the post-collision velocities of the balls?
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Two charges of -4 C and -2 C are positioned on a line at points -1 and 4 , respectively. What is the net force on a charge of -4 C at 1 ?
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A charge of -2 C is at the origin. How much energy would be applied to or released from a 4 C charge if it is moved from (7 ,5 ) to (9 ,-2 ) ?
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An object with a mass of 3 kg is traveling in a circular path of a radius of 15 m. If the object's angular velocity changes from 5 Hz to 3Hz in 5 s, what torque was applied to the object?
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How fast will an object with a mass of 16 kg accelerate if a force of 64 N is constantly applied to it?
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A projectile is shot from the ground at a velocity of 1 m/s at an angle of (5pi)/12. How long will it take for the projectile to land?
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Objects A and B are at the origin. If object A moves to (6 ,-2 ) and object B moves to (2 ,9 ) over 5 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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What is the slope of the line passing through the following points: (2,6) ; (5,2)?
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What is the distance between (1 ,( pi)/4 ) and (-4 , ( 3 pi )/2 )?
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A baseball is thrown straight up at 15 m/s. How high will it go?
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An object with a mass of 8 kg is traveling in a circular path of a radius of 12 m. If the object's angular velocity changes from 15 Hz to 7 Hz in 6 s, what torque was applied to the object?
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A ball with a mass of 5 kg is rolling at 8 m/s and elastically collides with a resting ball with a mass of 2 kg. What are the post-collision velocities of the balls?
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What is the projection of <3, -6, 2> onto <0, 1, 3>?
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A spring with a constant of 9 (kg)/s^2 is lying on the ground with one end attached to a wall. An object with a mass of 2 kg and speed of 7 m/s collides with and compresses the spring until it stops moving. How much will the spring compress?
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The velocity of an object with a mass of 2 kg is given by v(t)= sin 5 t + cos 6 t . What is the impulse applied to the object at t= pi /4 ?
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Objects A and B are at the origin. If object A moves to (8 ,5 ) and object B moves to (9 ,-2 ) over 2 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 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 16 (kg)/s^2 and was compressed by 4/5 m when the ball was released. How high will the ball go?
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What is the component form of a vector with an initial point of (-2, 3) and a terminal point of (-4, 7)?
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What is the projection of <5,0,-2 > onto <1,-1,0 >?
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The velocity of an object with a mass of 3 kg is given by v(t)= sin 4 t + cos 3 t . What is the impulse applied to the object at t= pi /6 ?
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What is the projection of <-2,3,7 > onto <1,6,1 >?
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A train traveled 325 miles in 5 hours. What was the train's average rate of speed in miles per hour?
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An object is thrown vertically at a height of 14 m at 1 m/s. How long will it take for the object to hit the ground?
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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 12 m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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How much work would it take to push a 8 kg weight up a 3 m plane that is at an incline of pi / 4 ?
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Objects A and B are at the origin. If object A moves to (-7 ,-9 ) and object B moves to (1 ,-1 ) over 8 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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How do you evaluate the integral of int (x-1)/(x^2+3x+2) dx from 0 to 1?
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A ball with a mass of 5 kg is rolling at 3 m/s and elastically collides with a resting ball with a mass of 2 kg. What are the post-collision velocities of the balls?
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How do you find the slope of (-2, 5) and (-2, 8)?
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What is the cross product of <3 ,1 ,-6 > and <-2 ,-4 , 8 >?
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Two charges of 9 C and 2 C are positioned on a line at points 6 and -4 , respectively. What is the net force on a charge of 3 C at 2 ?
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If A = <-6 ,2 ,5 >, B = <-8 ,3 ,4 > and C=A-B, what is the angle between A and C?
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Two charges of -2 C and 3 C are positioned on a line at points 5 and -6 , respectively. What is the net force on a charge of -1 C at 0 ?
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Objects A and B are at the origin. If object A moves to (9 ,-7 ) and object B moves to (-8 ,6 ) 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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How do you integrate int 1/sqrt(x^2-4x+13)dx using trigonometric substitution?
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What is the cross product of <-3, -1, 8 > and <-1, 4, -9 >?
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A charge of 16 C is passing through points A and B on a circuit. If the charge's electric potential changes from 38 J to 12 J, what is the voltage between points A and B?
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Objects A and B are at the origin. If object A moves to (3 ,-4 ) and object B moves to (2 ,-6 ) over 4 s, what is the relative velocity of object B from the perspective of object A?
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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) =2t^2-3t-3 from t in [2, 4]?
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If a projectile is shot at an angle of pi/6 and at a velocity of 18 m/s, when will it reach its maximum height??
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If an object with a mass of 5 kg changes speed from 12m/s to 8m/s, by how much does its kinetic energy change?
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What is the angular momentum of a rod with a mass of 2 kg and length of 6 m that is spinning around its center at 3 Hz?
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If a projectile is shot at an angle of (7pi)/12 and at a velocity of 1 m/s, when will it reach its maximum height?
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What is the dot product of <-1,4,7> and <9,-7,5 > ?
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If a projectile is shot at a velocity of 52 m/s and an angle of pi/3, how far will the projectile travel before landing?
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(a) With what speed must a ball be thrown vertically from ground level to rise to a maximum height of ?
(b) How long will it be in the air ?
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A ball with a mass of 9 kg moving at 15 m/s hits a still ball with a mass of 2 kg. If the first ball stops moving, how fast is the second ball moving?
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An object with a mass of 4 kg is hanging from a spring with a constant of 8 (kg)/s^2. If the spring is stretched by 8 m, what is the net force on the object?
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A block of silver has a length of 0.93 m, a width of 60 mm and a height of 12 cm. How do you find the total resistance of the block if it is placed in a circuit such that the current runs along its length? Along its height? Along its width?
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How do you solve Log 378 = x?
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A block weighing 4 kg is on a plane with an incline of (pi)/2 and friction coefficient of 4/5. How much force, if any, is necessary to keep the block from sliding down?
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How do you normalize (- 7 i -j +25k)?
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Two charges of 2 C and 8 C are positioned on a line at points -3 and 6 , respectively. What is the net force on a charge of -3 C at -2 ?
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Objects A and B are at the origin. If object A moves to (5 ,-7 ) and object B moves to (7 ,4 ) 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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If A = {2,-7 ,5}, B = {5,-7,4} and C = A - B, what is the angle between A and C?
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How much work would it take to push a 9 kg weight up a 2 m plane that is at an incline of pi / 6 ?
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How do you solve 5x^3 - 320 x = 0?
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How do you evaluate the integral of int (dt)/(t-4)^2 from 1 to 5?
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Two charges of -1 C and 5 C are at points (1,-5,3 ) and ( -3 , 9, 1 ), respectively. Assuming that both coordinates are in meters, what is the force between the two points?
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How do you find the definite integral of int (1-2x-3x^2)dx from [0,2]?
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Question #50cca
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The force applied against a moving object travelling on a linear path is given by F(x)= 4x + 4. How much work would it take to move the object over x in [ 1, 5] ?
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How can I calculate the focal point of concave mirror?
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What is the integral of int sin^3 (x)cos^3 (x) dx?
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What is the cross product of <-3,0, 2> and <-1, -2, 9 >?
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How do you evaluate log_4 27?
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An object, previously at rest, slides 5 m down a ramp, with an incline of (3pi)/8 , and then slides horizontally on the floor for another 12 m. If the ramp and floor are made of the same material, what is the material's kinetic friction coefficient?
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How do you solve sqrt(3x)+8=x+2?
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How do you find the inverse of y=3x^2-2 and is it a function?
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What is the distance between the following polar coordinates?: (7,(5pi)/4), (2,(9pi)/8)
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Objects A and B are at the origin. If object A moves to (-2 ,8 ) and object B moves to (-5 ,-6 ) over 4 s, what is the relative velocity of object B from the perspective of object A?
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A balanced lever has two weights on it, the first with mass 15 kg and the second with mass 14 kg. If the first weight is 7 m from the fulcrum, how far is the second weight from the fulcrum?
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