A 2-kilo block is released from rest at the top of a curved incline in the shape of a quarter of a cricel of radius R. The block that slides onto a horizontal plane where it finally comes to rest 8 meters from the beginning of the plane. The curved incline is frictionless, but there is 8-newton froce of friction on the block while it slieds horizontally. Assume g = 10 meters per second Required:
a. Determine the magnitude of the acceleration of the block while it slides along the horizontal plane.
b. What time elapses while the block is sliding horizontally?

a)   x = 660 m , b)    λ = 0.330 m , c) precision  is 0.1 cm , d)    Δf= n Δt/ t²

Explanation:

a) the speed of sound is constant, therefore we can use the relation of motion to inform the distance that the sound extends is

        v = x / t

         x = v t

         x = 330 2

         x = 660 m

b) the speed of sound is

          v = λ f

          λ = v / f

          λ = 330/1000

          λ = 0.330 m

c) a measuring tape must be used to measure the wavelength, the precision  is 0.1 cm

.d) frequency measurement is more delicate, a stopwatch should be used to measure a certain number of oscillations, and hence calculate the frequency

         .f = n / t

Therefore, if we assume that there is no error in the number of oscillations, the pressure is given by the appreciation of the stopwatch, which is maximum 0.01 s

           Δf / f = Δt / t

           Δf = Δt /t   f

           Δf= n Δt/ t²