Question

Que- A bus is moving with a velocity of 30 km/h. The driver then accelerates the bus and it attains a speed of 50 km/h in 3 minutes. If the total mass of the bus with passengers is 2000kg. Then calculate the force generated by the engine of the bus.​

Answer 1

GIVEN:-

• $\tt{Initial\:Velocity = 30km/hr = 16.66m/s}$

• $\tt{Final\:Velocity = 50km/hr = 13.8m/s}$

• $\tt{Time\:taken = 3minute = 180s.}$.

• $\tt{Mass\:of\:the\:bus = 2000kg}$.

TO FIND:-

• The force generated by engine of the Bus.

FORMULAE USED:-

• ${\boxed{\huge{\rm{ v = u + at}}}}$

• ${\boxed{\huge{\rm{ F = ma}}}}$

Where,

v = Final Velocity

u = Initial Velocity

F = Force exerted

m = Mass

a = Acceleration

Now,

$\implies\tt{ v = u + at}$

$\implies\tt { 13.8 = 16.6 + a(180)}$

$\implies\tt{ 13.8 - 16.6 = 180a}$

$\implies\tt{ -2.8 = 180a}$

$\implies\tt{ a = \dfrac{-2.8}{180}}$

${\boxed{\underline{\implies{\tt{ a = -0.015m/s^{-2}}}}}}$

Negative Sign Implies that Acceleration is acting in Opposite Direction.

Therefore,

$\implies\tt{ F = ma}$

$\implies\tt{ F = 2000\times{-0.015}}$

${\boxed{\huge{\implies{\tt{ F = -30N}}}}}$.

Negative Sign implies that Force is acting on opposite direction.

Answer 2

Answer:

HOPE IT HELPS MATE...

Explanation:

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