Question

A block of mass $m$ is on a rough horizontal surface and is attached to a spring with spring constant $k$. The coefficient of kinetic friction between the surface and the block is $\mu$. When the block is at position $x = 0$, the spring is at its unstretched length. The block is pulled to position $x = +x_0$, as shown above, and released from rest. The block then travels to the left and passes through $x = 0$ before coming momentarily to rest at position $x = -\frac{x_0}{2}$. Which of the following is a correct expression for the kinetic energy of the block as it first travels through position $x = 0$? A) 0 B) $\frac{kx_0^2}{2}$ C) $\frac{kx_0^2}{2} - \mu mg x_0$ D) $\frac{kx_0^2}{2} - \frac{3\mu mg x_0}{2}$ E) $\frac{kx_0^2}{2} - 2\mu mg x_0$

          A block of mass $m$ is on a rough horizontal surface and is attached to a spring with spring constant $k$. The coefficient of kinetic friction between the surface and the block is $\mu$. When the block is at position $x = 0$, the spring is at its unstretched length. The block is pulled to position $x = +x_0$, as shown above, and released from rest. The block then travels to the left and passes through $x = 0$ before coming momentarily to rest at position $x = -\frac{x_0}{2}$.

Which of the following is a correct expression for the kinetic energy of the block as it first travels through position $x = 0$?

A) 0
B) $\frac{kx_0^2}{2}$
C) $\frac{kx_0^2}{2} - \mu mg x_0$
D) $\frac{kx_0^2}{2} - \frac{3\mu mg x_0}{2}$
E) $\frac{kx_0^2}{2} - 2\mu mg x_0$

A block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. The coefficient of kinetic friction between the surface and the block is μ. When the block is at position x = 0, the spring is at its unstretched length. The block is pulled to position x = +x0, as shown above, and released from rest. The block then travels to the left and passes through x = 0 before coming momentarily to rest at position x = -(x0)/(2).

Which of the following is a correct expression for the kinetic energy of the block as it first travels through position x = 0?

A) 0
B) (kx0^2)/(2)
C) (kx0^2)/(2) - μ mg x0
D) (kx0^2)/(2) - (3μ mg x0)/(2)
E) (kx0^2)/(2) - 2μ mg x0

Added by Gina H.

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