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Question: A jet airplane travelling at the speed of 500 km h<sup>-1</sup> ejects its products of combustion at...

A jet airplane travelling at the speed of 500 km h-1 ejects its products of combustion at the speed of 1500 km h-1 relative to the jet plane. The speed of the products of combustion with respect to an observer on the ground is

A

500 km h-1

B

1000 km h-1

C

1500 km h-1

D

2000 km h-1

Answer

1000 km h-1

Explanation

Solution

Velocity of jet plane w.r.t. ground VJG=500kmh1V_{JG} = 500kmh^{- 1}

  • ve

Velocity of products of combustions w.r.t. jet plane VCJ=1500kmh1V_{CJ} = - 1500kmh^{- 1}

\thereforeVelocity of products of combustions w.r.t. ground is VCG=VCJ+VJG=1500kmh1+500kmh1=1000kmh1V_{CG} = V_{CJ} + V_{JG} = 1500kmh^{- 1} + 500kmh^{- 1} = - 1000kmh^{- 1}

- ve sing shows that the direction of products of combustion is opposite to that of the plane.

\thereforeSpeed of the products of combustions w.r.t. ground = 1000kmh1.1000kmh^{- 1}.