Question

An automobile vehicle has a mass of
1500 kg. What must be the force between the vehicle and the road if the vehicle is to be stopped with a negative acceleration of 1.7ms^- ²​

Answer 1

$\huge \fbox{Answer}$

$\large \underline{\underline{\red {\frak{Given::}}}}$

$\mapsto \sf{Mass \: of \: vehicle=1500kg}$

${\mapsto \sf{Acceleration \: of \: vehicle= - 1.7m {s}^{ - 2} }}$

$\large \underline{\underline{\red {\frak{To \: find::}}}}$

$\sf{ \leadsto{Force \: required \: between \: vehicle \: and \: road. }}$

$\large \underline{\underline{\red {\frak{Formula \: required::}}}}$

$\pink\star\boxed{\bf{Force=mass(m)×acceleration(a)}} \pink \star$

$\large \underline{\underline{\red {\frak{According \: to \: Question::}}}}$

${\implies{\sf{Force=mass(m)×acceleration(a)}}}$

${\implies{\sf{Force=1500kg \times ( - 1.7)m {s}^{ - 2} }}}$

${\implies{\sf{Force= - 2550N }}}$

$\pink\star\boxed{\bf{Force= - 2550N}} \pink \star$

Answer 2

Given :-

m = 1500 kg

m = 1500 kg a = -1.7m/s $^{2}$

Final Answer :-

F = ma

F = ma = 1500 kg × -1.7m/s$^{2}$

= -2550 kg m/s $^{2}$

= -2550 N

Answer :-

-2500 N