Aglider with mass m = 0.230 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 4.50 n/m . you pull on the glider, stretching the spring 0.130 m , and then release it with no initial velocity. the glider begins to move back toward its equilibrium position (x=0). what is the speed of the glider when it returns to x=0?

what must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 3.00 m/s?

Answer

given,

mass of glider = 0.23 Kg

spring constant = k = 4.50 N/m

spring stretched to 0.130 m

The springs potential energy =

        U = 0.038 J

at x = 0,the only energy will be kinetic .

         v² = 0.3304

         v = 0.575 m/s

displacement of the glider

      using conservation of energy

        x = 0.678 m

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees.