As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time.

As shown in the figure, the block of mass m is placed on a horizontal plane and attached to an ideal spring. The spring has a stiffness of k = 30 N/m and is undeformed when x = 0 with the velocity of 6 m/s to the right. a. Compute the value of x when the block first comes to rest. b. Compute the force that tends to move the block to the left when the block first comes to rest. c. Compute the speed of the block when it reaches x = 0 for the second time.