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An automobile vehicle has a mass of $1500\ kg$. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $1.7\ m s^{-2}$?
Given: An automobile vehicle has a mass of $1500\ kg$.
To do: To calculate the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of $1.7\ m s^{-2}$.
Solution:
Here, the mass of the vehicle $m=1500\ kg.$
Negative acceleration $a=1.7\ ms^{-2}$
According to Newton's second law
Force $F=ma$
$=1500\ kg.\times(-1.7\ ms^{-2})$
$=-2550\ N$ [$-ve$ sign indicates the opposite direction]
Thus, the force acted to stop the vehicle is $2550\ N$ in opposite direction.
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