(Solved): A ball of mass M oscillates on a spring with spring constant K equals 200N per meter. The ball's ...

A ball of mass $M$ oscillates on a spring with spring constant $K$ equals $200\mathrm{N}$ per meter. The ball's position is $x(t)=0.350\cos (15.0t)$, with $\mathrm{x}$ measured in meters and $\mathrm{t}$ measured in seconds. What is the frequency of the balls motion? $15.0\mathrm{Hz}$ $2.39\mathrm{Hz}$ $5.44\mathrm{Hz}$ $6.28\mathrm{Hz}$ $0.35\mathrm{Hz}$ A ball of mass $M$ oscillates on a spring with spring constant $k=200$ $\mathrm{N}/\mathrm{m}$. The ball's position is $x(t)=0.350\cos (15.0t)$, with $\mathrm{x}$ measured in meters and $\mathrm{t}$ measured in seconds. What is the value of the mass $m$ ? $3.76\mathrm{kg}$ $1.54\mathrm{kg}$ $0.45\mathrm{kg}$ $0.89\mathrm{kg}$ $6.33\mathrm{kg}$ A ball of mass $M$ oscillates on a spring with spring constant $K$ equals $200\mathrm{N}$ per meter. The ball's position is $x(t)=0.350\cos (15.0t)$, with $\mathrm{x}$ measured in meters and $\mathrm{t}$ measured in seconds. What is the amplitude of the balls motion? $0.350\mathrm{m}$ $7.50\mathrm{m}$ $0.175\mathrm{m}$ $15.0\mathrm{m}$ $0.700\mathrm{m}$ A ball of mass $M$ oscillates on a spring with spring constant $K$ equals $200\mathrm{N}$ per meter. The ball's position is $x(t)=0.350\cos (15.0t)$, with $\mathrm{x}$ measured in meters and $\mathrm{t}$ measured in seconds. What is the total mechanical energy of the oscillator? $10.1\mathrm{J}$ $12.3\mathrm{J}$ $1.65\mathrm{J}$ $6.73\mathrm{J}$ $3.28\mathrm{J}$ A ball of mass $M$ oscillates on a spring with spring constant $K$ equals $200\mathrm{N}$ per meter. The ball's position is $x(t)=0.350\cos (15.0t)$, with $\mathrm{x}$ measured in meters and $\mathrm{t}$ measured in seconds. What is the balls maximum speed? $3.88\mathrm{m}/\mathrm{s}$ $0.35\mathrm{m}/\mathrm{s}$ $5.25\mathrm{m}/\mathrm{s}$ $1.76\mathrm{m}/\mathrm{s}$ $2.60\mathrm{m}/\mathrm{s}$