A 5-Kg Mass with Initial Velocity 20 M/s Slides Along $\mu$

Multiple Choice

A 5-kg mass with initial velocity 20 m/s slides along a frictionless horizontal surface then up a frictionless ramp (2 m long and at an angle 30 degrees to the horizontal) and onto a second horizontal surface. The block slides over a rough surface 15 m in length ( $\mu$ _k = 0.4) before moving again on a frictionless surface and then impacting upon an uncompressed spring. If the block compresses the spring a distance 2 m, what is the spring constant k for the spring?

A) 304 N/m
B) 451 N/m
C) 84.0 N/m
D) 32.8 N/m
E) 353 N/m