Question

Calculate the force required to impart a car of mass 15000 kg with a velocity of 30 m/s in 10 s

Answer 1

We know,

v=u + at

Putting v=30m/s, u=0, a=10m/s^2, we get

30=0+ 10a

a=3m/s^2

Now F=ma

F=15000×3

=45000N

This is the answer to your question.

Answer 2

$\huge\star\sf\underline\green{Solution :-}$

$\sf\underline\red{Given :-} \\ \\ \sf{Mass = 15000\:kg} \\ \\ \sf{ Velocity = 30\:m/s} \\ \\ \sf{Time\:Taken = 10\: second (s)} \\ \\ \\ \sf\underline\red{To\:Find :-} \\ \\ \sf{\bullet{Force\: required =?}} \\ \\ \sf\underline\red{Step\:by\:step:} \\ \\ \sf{Acceleration\:by\: using\:the\: First\: Equation\:of} \\ \sf{Motion ,} \\ \\ \sf{Initial\: velocity (u) = 0} \\ \\ \sf{Final\: velocity (v) = 30 m/s} \\ \\ \sf{Time\:Taken (t) = 10\:s } \\ \\ \sf{Equation\:of\: Motion,} \\ \\ \huge\blue{\boxed{\sf{v = u + at}}} \\ \\ \sf{We\:get,} \\ \\ \implies\sf{ 30 = 0+a \times 10} \\ \\ \implies\sf{10a = 30} \\ \\ \implies{\sf{ a = \cancel{ \dfrac{30}{10} }m/s^2}} \\ \\ \sf{Acceleration (a) = 3\:m/s^2} \\ \\ \sf{Now\:we\:have,} \\ \\ \sf{Putting\: m= 15000kg} \\ \\ \sf{a=3\:m/s^2} \\ \\ {\boxed{\sf{F = m \times a}}} \\ \\ \sf{we\:get,} \\ \\ \implies\sf{F = 15000 \times 3N} \\ \\ \implies\red{\boxed{\sf{45000\:N}}}$

thus,

$\sf\pink{The\:Force\: required\:is\:45000\: Newtons}$