Question

(1 point) Fred attaches a sphere made of metal with density p1 2700 kg per cubic meter to a spring. The sphere has mass m 3.85 kg and the spring has force constant k 48 N/m. As the sphere moves through the air, it encounters air resistance which depends on the cross-section area of the sphere. After a number of trials, Fred determines that the coefficient of the air resistance for this sphere is b 0.066 kg/s What is the value of the time constant nifor this damped harmonic oscillator? 116.66667 Fred sets the sphere bobbing up and down, and waits until the amplitude of the motion is exactly 0.130 m. He then starts his timer When the amplitude of the motion has died down to 0.013 m, Fred stops the timer. How much time has passed? 268.47 S That decays too quickly," grumbles Fred. I need some way to decrease the air resistance. He decides to replace the sphere with one made of a denser material. The new sphere has exactly the same mass m a density of p2 8100 kg per cubic meter 3.85 kg, but has Fred starts this new sphere bobbing up and down, up and down. As before, he begins timing the motion when its amplitude is exactly 0.130 m. When the amplitude of the motion decays to 0.013 m, Fred stops the timer. How long does it take this time? 806.7728 s

Answer 1