We can find the distance that the block travel until it eventually comes to rest from the kinematic equation:
vf2−vi2=2as,here, vi=8.9sm is the initial velocity of the block, vf=0sm is the final velocity of the block, a is the acceleration of the block and s is the distance that the block travel until it eventually comes to rest.
From this equation we can find the distance that the block travel until it eventually comes to rest:
s=2a−vi2.
We can find the acceleration of the block from the Newton's Second Law of Motion:
∑Fx=max−Ffr=ma,a=m−Ffr=m−μN=m−μmg=−μg.Finally, substituting expression for a into the formula for distance, we get:
s=2(−μg)−vi2=2⋅0.83⋅9.8s2m(8.9sm)2=4.87m.Answer:
s=4.87m.
Comments
Leave a comment