A person with a black belt in karate has a fist that has a mass of 0.70 kg. starting from rest, this fist attains a velocity of 8.0 m/s in 0.15 s. what is the magnitude of the average net force applied to the fist to achieve this level of performance?
The average net force applied : 37.33 N
Further explanation
Newton’s 2nd law explains that the acceleration produced by the resultant force on an object is proportional and in line with the resultant force and inversely proportional to the mass of the object
[tex]\rm \boxed{\bold{a=\dfrac{\sum F}{m}}}[/tex]
Acceleration itself is a change in velocity within a certain time interval
[tex]\rm a=\dfrac{\Delta v }{\Delta t}[/tex]
the two equations above can be made equations:
[tex]\rm \dfrac{\sum F}{m}=\dfrac{\Delta v}{\Delta t}\\\\\sum F=m\dfrac{\Delta v}{\Delta t}[/tex]
A fist that has a mass of 0.70 kg. starting from rest, this fist attains a velocity of 8.0 m/s in 0.15 s., so
m = 0.7 kg
vf = final velocity = 8 m/s
vi = initial velocity = 0 m/s(from rest)
[tex]\rm \Delta v=v_f-v_i\\\\\Delta v=8-0\\\\\Delta v=8~m/s[/tex]
Δt = 0.15 s
The average net force :
[tex]\rm \sum F=0.7\times \dfrac{8}{0.15}\\\\\sum F=\boxed{\bold{37.33~N}}[/tex]
Learn more
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