Question
3. A skater with an initial speed of 7.6 m/s is gliding across the ice. The coefficient of friction between the ice and the skae blades is μk=0.1.
a. Find acceleration of the skater
b. How foar will the skater travel before coming to rest
a. Find acceleration of the skater
b. How foar will the skater travel before coming to rest
Answers
Damon
mass m
weight = m g = 9.81 m
friction force = 0.1 * weight
= 0.981 m
That is the entire horizontal force
so
F = m a
0.981 m = m a
a = 0.981
-------------------
how long to stop?
v = Vi - 0.981 t
0 = 7.6 - 0.981 t
t = 7.75 seconds to grind to a halt
d = Vi t - (1/2)(0.981) t^2
d = 7.6 (7.75) - .49 (7.75)^2
= 58.8 - 29.4
= 29.4 meters
weight = m g = 9.81 m
friction force = 0.1 * weight
= 0.981 m
That is the entire horizontal force
so
F = m a
0.981 m = m a
a = 0.981
-------------------
how long to stop?
v = Vi - 0.981 t
0 = 7.6 - 0.981 t
t = 7.75 seconds to grind to a halt
d = Vi t - (1/2)(0.981) t^2
d = 7.6 (7.75) - .49 (7.75)^2
= 58.8 - 29.4
= 29.4 meters