Some University Physics students are studying periodic motion using an oscillating mass on a spring. After recording data, they made the position versus time graph shown.  If the mass is 2.22kg2.22kg, then what is the spring constant, in newtons per meter?

Question 4 A stretched string of length 50 cm is plucked a quarter of the way along its length to give an initial velocity of 10 m/s. Find expressions for the coefficients an and bn. a. an = 0 bn = 0 -0.5 b. an = 0.25 y(x,0) sin(kx)dx, b₁ = 0 4 0.5 = c. an = 0, bn foy(x,0) sin(kx) dx @n 4 -0.5 d. an = So y(x,0) sin(kx) dx, y(x,0)sin(kx)dx Wn b₁ =0.255 0

Some physics students are studying periodic motion using an oscillating mass on a spring. After collecting data, they sketched the position versus time graph shown. If the spring constant is 5.84N/m, then what is the mass, in kilograms?

You place your ear onto a steel railroad track and hear the sound of a distant train through the rails Δt = 3.3 seconds faster than you do through the air. The speed of sound in steel is vs = 6100 m/s while in air the speed of sound is va = 343 m/s. Write an equation for the time it takes the sound to reach you through the air if the distance to the train is represented by D.   Write an equation for the time it takes the sound to reach you through the steel if the distance to the train is represented by D. Use the difference in these two times to write an equation for the distance to the train.  For the given information find the distance to the train in meters