A cart attached to a spring vibrates with an amplitude A. What fraction of the t
ID: 1438909 • Letter: A
Question
A cart attached to a spring vibrates with an amplitude A. What fraction of the total energy of the cart-spring system is elastic potential energy and what fraction is kinetic energy when the cart is at position x = A/2? A cart attached to a spring vibrates with an amplitude A. What fraction of the total energy of the cart-spring system is elastic potential energy and what fraction is kinetic energy when the cart is at position x = A/2? A cart attached to a spring vibrates with an amplitude A. What fraction of the total energy of the cart-spring system is elastic potential energy and what fraction is kinetic energy when the cart is at position x = A/2? A cart attached to a spring vibrates with an amplitude A. What fraction of the total energy of the cart-spring system is elastic potential energy and what fraction is kinetic energy when the cart is at position x = A/2?Explanation / Answer
KE = EPE when EPE = ½ * max EPE, or
½kx² = ½(½kA/2²)
x² = A²/8
x / A = 1 / 8 0.35/ 1
(2^2-1)/(2^2) = 3/4