The Physicist

L o r e n z W \Large \color{#69047E}{Lorenz \ W} lived in the awesome town of Physicia. He was known as the Physicist, the legendary hero of Physicia. He was strong, humble and smart. He had invented the Atomizer Port, a teleportation device that teleported just about anything to anywhere, with just two Atomizer Ports and a stable connection.

Due to an unstable connection, caused by the evil Dr.Random, who never made a calculated and analysed move in his life, a speeding train was heading towards civilians.

It was up to the Physician to stop the runaway train, of mass 1000 k g 1000kg and velocity 10 m s 10 \dfrac{m}{s} . He had about 5 s e c o n d s 5 \ seconds before the civilians got crushed by the massive train. He knows that he can exert a force of 52000 N e w t o n s 52000 \ Newtons .

He has a Forcinator, that can multiply his force by 2 t i m e s 2 \ times , but it might blow up and destroy the city. Does he need to risk it?

If answer is no - Give your answer as 1999 + - 1999 + value of the Mr.Physicians force

If answer is yes - Give your answer as 2 + 2 + value of the train's momentum

(Note - Ignore external forces like friction as this is a theoretical question)


The answer is 50001.

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1 solution

F = P 1 P 2 t F = \dfrac{P^{1} - P^{2}}{t}

Momentum = Mass x Velocity

where P 1 P 2 P^{1} - P^{2} is rate of change of momentum(Initial momentum,10000 - Final momentum, 0) and (t, 5 seconds) is time.

F = 10000 0 5 = 10000 5 = 2000 N e w t o n s \begin{aligned} F &= \dfrac{10000 - 0}{5} \\ &= \dfrac{10000}{5} \\ &= 2000 \ Newtons \end{aligned}

Clearly, the Physician can stop the train, so he does not need to risk it and he's awesome!

Answer = No = 1999 + 50000 = 50001 -1999 + 50000 = \boxed{50001}

@Lorenz W. - Here ya go buddy, Congratulation Mr.Physician!

A Former Brilliant Member - 10 months, 3 weeks ago

@Percy Jackson I won't report the question, but you should mention that he has to stop train in using 52000 N 52000N if external force isn't required, not he can stop train within 5 sec.

Aryan Sanghi - 10 months, 3 weeks ago

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As in that case answer is anything from 2000 1999 = 1 a n s 52000 1999 = 50001 2000 - 1999 = 1 \leq ans \leq 52000 - 1999 = 50001

Aryan Sanghi - 10 months, 3 weeks ago

It says No instead of Yes.

Yajat Shamji - 10 months, 2 weeks ago

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Yes, I mean No, Ugh.................Its because my phone is slow, so its hard to edit, and I'm lazy. But i fixed it now. THis is a prize in mathathon :)

A Former Brilliant Member - 10 months, 2 weeks ago

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It says:

If answer is no - Give your answer as 1999 + -1999+ value of the Mr.Physicians force

Yajat Shamji - 10 months, 2 weeks ago

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@Yajat Shamji the question is - Does he need to risk it, but he doesn't :)

A Former Brilliant Member - 10 months, 2 weeks ago

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@A Former Brilliant Member I am saying, change the No to Yes!

Yajat Shamji - 10 months, 2 weeks ago

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@Yajat Shamji Where?!?!?!?!? @Yajat Shamji

A Former Brilliant Member - 10 months, 2 weeks ago

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@A Former Brilliant Member If answer is no - Give your answer as 1999 + -1999+ value of the Mr.Physicians force

Yajat Shamji - 10 months, 2 weeks ago

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