Mathematics Coordinate Geometry Level: High School
Coordinate Geometry
Complete the ordered pairs for the equation 2x + y = 10.(5, ) , ( , 10) , ( , - 2) , (0, )
Statistics Deviation Level: University
Attached is pdf spreadsheet with 2 columns of scores. I'd like to get the scores per quartile. The layout that I'm looking for is included on the spreadsheet with bogus numbers just to illustrate. I'm looking to have the actual scores that fall within the appropriate quartile from the Avg Agent Score and Avg Caller Score columns.Question Diagram
Physics Properties Of Matter Level: High School
Elasticity
If the shear stress in steel exceeds about 4.20 x 10^8 N/m^2 , the steel rupturesa) Determine the shearing force necessary to shear a steel bolt 0.950 cm in diameter .
b) Determine the shearing force necessary to punch a 0.950 cm diameter hole in a steel plate 0.590 cm thick .
Physics Properties Of Matter Level: High School
Archimedes’s Principle
A 1.00 kg beaker containing 1.80 kg of oil (density = 916 kg/m^3) rests on a scale . A 1.60 kg block of iron is suspended from a spring scale and completely submerged in the oil . Find the equilibrium of both the scales .Physics Properties Of Matter Level: High School
Pascal’s Law
Piston 1 in the figure which is shown at “click here” has a diameter of 0.27 in. Piston 2 has a diameter of 1.9 in . In the absence of friction , determine the force ,F , necessary to support the 500 lb weight .Physics Properties Of Matter Level: High School
Density
Consider a point in the ocean about 10.3 km deep . The pressure at that point is huge , about 1.06 x 10^8 N/m^2 .a) Calculate the change in volume of 1.00 cm^3 of water carried from the surface to this point in the ocean .
b) The density of water at the surface is 1.03 x 10^3 kg /m^3 .Find its density at this point .
c) Is it a good approximation to think of water as incompressible ?
Physics Properties Of Matter Level: High School
Pressure
A 66 kg man in a 7.0 kg chair tilts back so that all the weight is balanced on two legs of the chair . Assume that each leg makes contact with the floor over a circular area with a radius of 1.0 cm , and find the pressure exerted by each leg on the floor .Physics Waves And Oscillations Level: High School
Traveling Waves
Two traveling sinusoidal waves in a string are defined by the functions where y and x are in centimeters and t is seconds .a) What is the phase difference between these two waves at the point x = 5.00 cm at t = 2.00 s ?
b) What is the positive x value closest to the origin for which the two phases differ by +- pi at t = 2.00 s ? (This is were two waves add to zero) .
Physics Rotational Mechanics Level: High School
Circular Motion
A car traveling on a flat (unbanked) circular track acceleration uniformly from rest with a tangential acceleration of 1.70 m/s^2 . the car makes it one quarter of the way around the circle before it skids off the track . Determine the coefficient of static friction between the car track from these data .Physics Rotational Mechanics Level: High School
Rotational Kinematics
A merry go round is stationary . A dog is running on the ground just outside its circumference , moving with a constant angular speed of 0.750 rad/s . the dog does not change his pace when he sees what he has been looking ; a bone resting on the edge of the merry go round one third of a revolution in front of him . At the instant the dog sees the bone (t = 0) , the merry go round begins to move in the direction the dog is turning , with a constant angular acceleration of 0.0150 rad/s^2 .a) at what time will the dog reach the bone ?
b) the confused dog keeps running and passes the bone . How long after the merry go round starts to turn do the dog and the bone draw even with each other for the second time ?
Physics Rotational Mechanics Level: High School
Rotational Kinematics
During a certain period of time , the angular position of a swinging door is described by theta = 5.00 + 10.0 t + 2.00 t^2 , where theta is in radians and t is in seconds . Determine the angle (in radians ) through which the drill rotates during this period .Physics Force & Laws Of Motion Level: High School
Rocket Propulsion
Model rocket engines are by thrust , thrust duration ,and total impulse , among other characteristics. A size C5 model rocket engine has an average thrust of 5.26 N, a fuel mass of 12.7 g , and an initial mass of 25.5 g . the duration of its burn is 1.90 s .a) what is the average exhaust speed of the engine ?
b) If this engine is placed in a rocket body mass 53.5 g, what is the final velocity of the rocket if it is fired in outer space ? Assume the fuel burns at a constant rate .
Physics Kinematics Level: High School
The vector position of a particle varies in time according to the expression r = (3.00i-6.00 t^2j) m.a) find the expressions for the velocity and acceleration as functions of time .
b) determine the particles position and velocity at t = 1.00 s .
Physics Waves And Oscillations Level: High School
Intensity of Sound
A skyrocket explodes 100 m above the ground , the three observers are spaced 100 m apart , what is the ration of the intensity heard by observer A to that heard by observer C ?Physics Waves And Oscillations Level: High School
Doppler Effect
A block with a speaker bolted to it is connected to a spring having spring constant k = 20 N/m as shown in the figure at “click here” . The total mass of the block and the speaker is 5 kg and the amplitude of the units motion is .5 m . If the speaker emits sound waves of frequency 440 Hz determine the lowest and highest frequencies heard by the person to the right of the speaker .