Answer :
A car has a maximum acceleration of 3.0 m/s2. Its maximum acceleration, while towing a second car which is twice its mass is 0.11[tex]ms^{2}[/tex]
According to Newton's second law of motion,
F = ma, i.e Force on a body is equal to the product of the mass of the body multiple by its acceleration
Let us assume the mass of the car be "m"
Force applied by the engine of the car = [tex]\frac{m}{3}[/tex]
Now, as the car is towing another car, twice its mass which means that the total mass the engine has to pull is m+2m = 3m
As the force applied by the engine is Equal to [tex]\frac{m}{3}[/tex]
=> F = ma
=> Acceleration = [tex]\frac{Force}{Total mass}[/tex]
=> Acceleration = [tex]\frac{\frac{m}{3} }{3m}[/tex] = [tex]\frac{1}{9} ms^{2}[/tex]
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