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a car moving at 40km/h is …

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a car moving at 40km/h is to be stopped by applying brakes in the next 4m . if the car weighs 2000kg, what average force must be applied on it?

  • 2 answers

Sahdev Sharma 8 years, 2 months ago

Mass of car m = 2000 kg = 2{tex}\times 10^3 kg{/tex}

Initial velocity u = 40km/h = {tex}{40000\over 3600 }={100\over 9}m/s{/tex}

Distance to be covered before stopping s = 4m

Final velocity v = 0 

We know

{tex}v^2-u^2= 2as{/tex}

=> {tex}{10^4\over 81}= 2a\times 4{/tex}

=> {tex}a = {1250\over 81}{/tex}m/s​​​​​​2

force applied = ma = {tex} {1250\over 81} \times 2000 = 30864.19\ N{/tex}

Payal Singh 8 years, 2 months ago

Initial velocity u = 40km/h = {tex}{40000\over 3600 }={100\over 9}m/s{/tex}

Distance to be covered before stopping s = 4m

Final velocity v = 0 

We know

{tex}v^2-u^2= 2as{/tex}

=> {tex}{10^4\over 81}= 2a\times 4{/tex}

=> {tex}a = {1250\over 81}{/tex}m/s​​​​​​2

Mass of car m = 2000 kg

force applied = ma = {tex} {1250\over 81} \times 2000 = 30864.19\ N{/tex}

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