Respuesta :
Answer:
0.42
Explanation:
The force of friction exerted on the player is:
[tex]F_f = -\mu mg[/tex] (1)
where
[tex]\mu[/tex] is the coefficient of kinetic friction
m is the mass of the player
g is the acceleration due to gravity
According to Newton's second law,
[tex]F_f = ma[/tex] (2)
where a is the player's acceleration. Substituting (1) into (2),
[tex]a=-\mu g[/tex] (3)
So in order to find [tex]\mu[/tex], we need to find the acceleration. We know the following:
u = 3.5 m/s is the initial speed of the player
v = 0 is the final speed
d = 1.50 m is the distance travelled
So we can use the following equation
[tex]v^2-u^2 = 2ad[/tex]
and solving for a
[tex]a=\frac{v^2-u^2}{2d}=\frac{0-(3.5 m/s)^2}{2(1.50 m)}=-4.1 m/s^2[/tex]
Substituting this into (3), we find the coefficient of kinetic friction:
[tex]\mu = -\frac{a}{g}=-\frac{-4.1 m/s^2}{9.8 m/s^2}=0.42[/tex]
A force that acts among sliding parts is referred to as kinetic friction force. The coefficient of kinetic friction between him and the ground is 0.415.
What is kinetic friction?
A force that acts among sliding parts is referred to as kinetic friction. A body moving on the surface is subjected to a force that opposes its progressive motion.
The size of the force will be determined by the kinetic friction coefficient between the two materials.
The given data in the problem is;
μ is the coefficient of kinetic friction=?
m is the mass of the player
g is the acceleration due to gravity= 9.81 m/s²
v is the speed of the player=3.5m/sec
x is the linear distance travelled=1.50 m
According to Newton's third equation of motion;
[tex]\rm v^2=u^2+2ax\\\\ \rm v^2-u^2=2ax\\\\ \rm a=\frac{ v^2-u^2}{2x} \\\\ \rm a=\frac{ 0^2-(3.5)^2}{2\times1.50}\\\\ \rm a=-4.08m/s^2[/tex]
The formula for the acceleration for the kinetic friction will be;
[tex]\rm a=\mu g \\\\ \rm \mu=\frac{a}{g} \\\\ \rm \mu=\frac{-4.08}{9*.81}\\\\ \rm \mu=0.415[/tex]
Hence the coefficient of kinetic friction between him and the ground is 0.415.
To learn more about the coefficient of kinetic friction refer to;
https://brainly.com/question/19180015
