Heya!!
For calculate aceleration, lets applicate second law of Newton:
[tex]\boxed{F=ma}[/tex]
Δ Being Δ
F = Force = 85,5 N
m = Mass = ?
a = Aceleration = ?
First, lets calculate the mass using weight, for that lets use Newton law:
[tex]\boxed{m=w/g }[/tex]
Δ Being Δ
w = Weight = 666 N
g = Gravity = 9,82 m/s²
m = Mass = ?
⇒ Let's replace according the formula and clear "a":
[tex]\boxed{m = 666\ N / 9,81\ m/s^{2} }[/tex]
⇒ Resolving
[tex]\boxed{ m = 67,88\ kg }[/tex]
Like now we have the mass, lets calculate the aceleration:
⇒ Let's replace according the formula and clear "a":
[tex]\boxed{a=777 \ N / 67,88\ kg}[/tex]
⇒ Resolving
[tex]\boxed{ a = 11,445 \ m/s^{2}}[/tex]
Result:
The aceleration is 11,445 meters per second squared (m/s²)
Good Luck!!
