I need help writing a energy conservation equation for this problem.

Question

kkutie7 · Answer

A m= 10 kg block is released from a height of h= 3 m. It travels down a frictionless circular shaped ramp to the bottom where it encounters a rough surface. It travels over
this rough surface for 6 m followed by 3 m more on a frictionless surface. At this point the block compresses a spring by 0.3 m before stopping. The spring constant of the spring is 2250 N/m. Find the coefficient of kinetic friction for the rough surface

zephyr141 · Answer

the first stage is starting at the top of the ramp$$mgh=\frac{1}{2}mv^2$$then the second stage is after it's at the bottom and hits the second stage with friction$$\frac{1}{2}mv^2=f_{k}d$$then after the area with the friction is the third stage$$\frac{1}{2}mv^2=\frac{1}{2}kx^2$$ i think that might work, i'm not entirely sure but yeah... good luck.