Answer:
There is no change in distance
Explanation:
Given that block slides a distance dd with initial velocity
Work energy theorem states that Work done W is the difference between final kinetic energy and initial kinetic energy
W = -
...........(equation 1)
In the given problem, the work is done by frictional force
Hence the work done is given by
= -
x dd
is negative since it is resistive force and dd is the distance
= - μ mg X dd
where μ is coefficient of friction.
Also we know that Kinetic energy KE =
= 0 since final velocity is zero
=
Substituting the corresponding values equation 1 becomes
-μ mg x dd = 0 -
dd= x (1/μ) ........... (equation 2)
To find distance when mass of block is doubled and initial velocity is not changed:
Equation 2 shows that the distance dd is independent of mass, therefore there is no change in distance.