A spring with a spring constant
of k = 191 N/m is initially compressed
by a block a distance d = 0.38 m. The
block is on a horizontal surface with coefficient of kinetic
friction μk, static
friction μs, and has a mass
of m = 10 kg.
i. Assuming the block is released from the initial
position and begins to move to the right, please use the
interactive area below to draw the Free Body Diagram for the block.
Use Fsp as the spring force. If necessary,
use Fs for the force of static friction
and Fk as the force of kinetic
friction.
ii. Assuming the block is released from the initial
position and begins to move to the right, input an expression for
the sum of the forces in the x-direction in the configuration shown
above, using the variables provided.
iii. How large would the coefficient of static
friction μs need to be to keep the
block from moving?
iv. Assuming the block has just begun to move and the
coefficient of kinetic friction
is μk = 0.2, what is the block's
acceleration in meters per square second?