Answer:
the minimum time interval is 0.77 seconds
Explanation:
given data
coefficient of static friction = 0.5
coefficient of static friction shoes= 0.825
travel s = 2.40 m
to find out
what is the minimum time interval
solution
we know newton 2nd law
force = mass × acceleration
and
force acting on person due to friction
force = coefficient of static friction shoes × mg
so we can say
coefficient of static friction shoes × mg = ma
so
a = coefficient of static friction shoes × g
and we know g is 9.8 m/s²
so
distance formula by kinematic relation
distance = ut + 0.5 × at²
here put a value and u is zero because initial speed
2.40 = 0 + 0.5 × coefficient of static friction shoes × g× t²
2.40 = 0.5 × 0.825 × 9.8 × t²
t = 0.77 s
the minimum time interval is 0.77 seconds
