A2.0 kg block is held at rest against a spring with a force constant k = 395 n/m. the spring is compressed a certain distance and then the block is released. when the block is released, it slides across a surface that has no friction except for a 10.0 cm section that has a coefficient of friction μk = 0.54. find the distance in centimeters the spring was compressed such that the block's speed after crossing the rough area is 2.5 m/s.

19.237 cm

Explanation:

m = Mass of block = 2 kg

v = Velocity of block = 2.5 m/s

= Coefficient of friction = 0.54

g = Acceleration due to gravity = 9.81 m/s²

d = Distance

k = Spring constant = 395 N/m

The kinetic energy of the block is after covering the patch is

Work done by fricition force is given by

Applying conseravation of energy

The distance in centimeters if the spring was compressed was 19.237 cm

a displacement distance is size of displ