3320

Physics Waves And Oscillations Level: High School

At t = 0 , a transverse wave pulse in a wire is described by the friction .

y(x,t = 0) = 6/ (x^2+ 3)

Where x and y are in meters , The pulse is traveling in the positive x direction with a speed of 4.5 m/s . Which formula correctly describes the pulse at time t ?

1) y = 4.5t + 6 / x^2 + 3

2) y = 4.5t+ [ 6/ x^2 + 3]

3) y = 6 / [(x + 4.5 t)^2 + 3 ]

4) y = 6 / [(x - 4.5 t)^2 + 3 ]

5) y= -4.5t +6 / (x^2+3)

6)y=6-4.5t/x^2+3




3319

Physics Waves And Oscillations Level: High School

The distance between two successive maxima of a certain transverse wave is 1.49 m . Eight crests , or maxima , pass a given point along the direction of travel every 14.7 s . Calculate the wave speed . Answer in units of m/s .



3318

Physics Waves And Oscillations Level: High School

A ocean wave has a length of 11.9 m . A wave passes a fixed location every 2.2 s . What is the speed of the wave ? Answer in units of m/s .



3317

Statistics Confidence Interval Level: High School

In 1992, the FAA conducted 86,991 pre-employment drug tests on job applicants who were to be engaged in safety and security-related jobs, and found that 1,143 were positive.

(a) Construct a 95 percent confidence interval for the population proportion of positive drug tests.

(b) Why is thenormality assumption not a problem, despite the very small value of p? (Data are from Flying 120, no. 11 [November 1993], p. 31.)




3316

Statistics Confidence Interval Level: High School

A random sample of 10 miniature Tootsie Rolls was taken from a bag. Each piece was weighed on a very accurate scale. The results in grams were 3.087 3.131 3.241 3.241 3.270 3.353 3.400 3.411 3.437 3.477

(a) Construct a 90 percent confidence interval for the true mean weight.

(b) What sample size would be necessary to estimate the true weight with an error of ± 0.03 grams with 90 percent confidence?

(c) Discuss the factors which might cause variation in the weight of Tootsie Rolls during manufacture. (Data are from a project by MBA student Henry Scussel.)




3314

Physics Waves And Oscillations Level: High School

Which of the following wave functions is a solutions to the linear wave equation ?

1) y = exp (bx – vt)

2) y = exp (vx – t)

3) y = exp (vx – vt)

4) y = sin (vx – vt)

5) y = sin (bx – vt)

6) y = exp [b(x+ vt)]



Question Diagram




3313

Physics Waves And Oscillations Level: High School

Which of the following wave functions is a solutions to the linear wave equation ?

1) y = exp (bx – vt)

2) y = exp (vx – t)

3) y = exp (vx – vt)

4) y = sin (vx – vt)

5) y = sin (bx – vt)

6) y = exp [b(x+ vt)]




3312

Physics Work,Power & Energy Level: High School

A single conservative force acting on a particle varies as F = (-Ax + Bx^2) i N , where A and B are constants and x is in meters .

a) Calculate the potential-energy function U(x) associated with this force , taking U = 0 at x = 0 .

b) Find the change in potential energy and the change in kinetic energy as the particle moves from x = 2.00 m and x = 3.00 m .




3311

Physics Work,Power & Energy Level: High School

A 70.0 kg diver steps off a 10.0-m tower and drops straight down into the water. If he comes to rest 5.00 m beneath the surface of the water , determine the average resistance force exerted by the water on the diver .



3310

Physics Work,Power & Energy Level: High School

A 70.0 kg diver steps off a 10.0-m tower and drops straight down into the water. If he comes to rest 5.00 m beneath the surface of the water , determine the average resistance force exerted by the water on the diver .



3309

Physics Work,Power & Energy Level: High School

An object of mass m starts from rest and slides a distance d down a frictionless incline of angle theta . While sliding , it contacts an unstressed spring of negligible mass as shown in the figure at "click here". The object slides an additional distance x as it is brought momentarily to rest by compression of the spring (of force constant k ) . Find the initial separation d between object and the spring .




3308

Physics Work,Power & Energy Level: High School

A 400-N child is in a swing that is attached to ropes 2.00 m long . Find the gravitational potential energy of the child-Earth system relative to the child’s lowest position when

a) the ropes are horizontal

b) the ropes make a 30.0 degree angle with the vertical

c) the child is at the bottom of the circular arc .




3306

Physics Work,Power & Energy Level: High School

A 2.00 g block is attached to a spring of force constant 500 N/m as in the figure 7.10 . The block is pulled 5.00 cm to the right of equilibrium and released from rest . Find the speed of the block as it passes through equilibrium if

a) the horizontal surface is frictionless

b) the coefficient of friction between block and surface is 0.350 .




3305

Physics Work,Power & Energy Level: High School

A force F = (4xi + 3yj) N acts on an object as the object moves in the x direction from the origin to x = 5.00 m . find the work W = F . dr done on the object by the force



3304

Physics Work,Power & Energy Level: High School

The force acting on a particle is Fx = (8x-16) N ,where x is in meters .

a) Make a plot of this force versus x from x = 0 to x = 3.0 m .

b) From your graph , find the net work done by this force on the particle as it moves from x = 0 to x = 3.00 m .


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