will rate high if answers are correct thank you :)

Solve and do as indicated: 1.) A mass is oscillating with amplitude A at the end of the spring. How far is this mass from the equilibrium if the elastic potential energy equals y times the kinetic energy? 2.) Consider a solid uniform ball of mass m and radius R rolling without slipping near the bottom of a frictionless hemispherical fishbowl of radius r as shown. The ball I T cos B oscillates about the center of the fishbowl. Set the gravitational potential energy to be zero at the bottom of the bowl. I r(1 - cos #) A. Express the total energy of the ball as a function of the ball's distance from the center x and its velocity. Hint 1: Since the ball is rolling without slipping, its angular velocity can be expressed in terms of its linear velocity, and it has translational and rotational energy. Hint 2: In writing gravitational potential U, use the approximation cos 0 ~ 1 - ,, then use SOH-CAH-TOA to rewrite 0 in terms of x and r, then use sin 0 ~ 0 to eliminate the variable 0. B. Find the oscillation frequency of the ball. Hint: Since the ball is undergoing simple harmonic motion, x(t) (and hence v(t)) follows a certain form. Also, since the energy of the system is conserved, then dE/dt = 0