Question

 A car moving with a velocity of 20m/s changes to 25 m/s in 2 minutes. If the mass of the car is 1000 Kg, find the force exerted to change the velocity. ​

Answer 1

Answer:

$\large\tt\color{blue}\underline{\underline{\dag{Question:}}}$

$\textsf{A car with a velocity of 20 m/s changes to 25 m/s}$$\textsf{in 2 minutes. If the mas of the car is 1000 kg,}$$\textsf{find the force exerted to change the velocity.}$

$\large\tt\color{red}\underline{\underline{\dag{Given:}}}$

$\textsf{Intial velocity of the car = 20 m/s}$

$\textsf{Final velocity of the car = 25 m/s}$

$\textsf{Time taken to change the velocity = 2 mins}$

$\textsf{Mass of the car = 1000 kg}$

$\large\tt\color{orange}\underline{\underline{\dag{To\:find:}}}$

$\textsf{Force exerted to change the velocity}$

$\large\tt\color{Brown}\underline{\underline{\dag{Concept:}}}$

$\textsf{▪︎First , find the acceleration of the car.}$

$\textsf{▪︎Then make m/min to m/sec.}$

$\textsf{▪︎Then find the force exerted}$

$\large\tt\color{pink}\underline{\underline{\dag{Taken:}}}$

$\bold\green{A=\frac{V-V1}{T}}$

$\bold{Where,}$

$\bold{A=Acceleration}$

$\bold{V=Final\:velocity}$

$\bold{V1=Initial\:velocity}$

$\bold{T=Time\:taken}$

$\bold\green{In\:m/s=\frac{m/min}{60}}$

$\bold{Where,}$

$\bold{m/s=Acceleration\:in\:meter\:second}$

$\bold{m/min=Acceleration\:in\:meter\:minute}$

$\bold\green{F=MA}$

$\bold{Where,}$

$\bold{F=Force\:exerted\:by\:the\:car}$

$\bold{M=Mass\:of\:the\:car}$

$\bold{A=Acceleration\:in\:meter\:second}$

$\large\tt\color{cyan}\underline{\underline{\dag{Solution:}}}$

$\bold\green{Taken,A=\frac{V-V1}{T}}$

$\bold\mapsto{A=\frac{25m/s-20m/s}{2min}}$

$\bold\mapsto{A=\frac{5m/s}{2min}}$

$\bold\mapsto{A=2.5\:m/min}$

_____________________________

$\bold\green{Now,convert\:m/min\:into\:m/sec}$

$\bold\green{Taken,In\:m/s=\frac{m/min}{60}}$

$\bold\mapsto{In\:m/s=\frac{2.5}{60}}$

$\bold\mapsto{In\:m/s=0.0416m/s(approx)}$

_____________________________

$\bold\green{At\:last\:find\:the\:force}$

$\bold\green{F=MA}$

$\bold\mapsto{F=1000kg×0.0416m/s}$

$\bold{\boxed{\purple{F=41.6N}}}$

So , the force exerted to change the velocity is 41.6 N.

_____________________________

$\large\tt\color{magenta}\underline{\underline{\dag{Extra\:information:}}}$

$\bold{• Velocity=\frac{Displacment}{Time}}$

$\bold{• Average\:speed=\frac{Total\:distance}{Total\:time\:taken}}$

$\bold{• Speed=\frac{Distance}{Time}}$

HOPE IT HELPS YOU