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The motion of a very massive object can be minimally affected by what would seem

ID: 1333555 • Letter: T

Question

The motion of a very massive object can be minimally affected by what would seem to be a substantial force. Consider a supertanker, with a mass of 2.7×108 kg . Suppose you strapped two jet engines (thrust force of a small jet engine is50,000 N ) onto the sides of the tanker.

Part A

Ignoring the drag of the water (which, in reality, is not a very good approximation), how long will it take the tanker, starting from rest, to reach a typical cruising speed of 6.0 m/s?

Express your answer to two significant figures.

The motion of a very massive object can be minimally affected by what would seem to be a substantial force. Consider a supertanker, with a mass of 2.7×108 kg . Suppose you strapped two jet engines (thrust force of a small jet engine is50,000 N ) onto the sides of the tanker.

Part A

Ignoring the drag of the water (which, in reality, is not a very good approximation), how long will it take the tanker, starting from rest, to reach a typical cruising speed of 6.0 m/s?

Express your answer to two significant figures.

Explanation / Answer

Total force applied by 2 jet engines=2*50,000 = 100,000 N

mass of tank = 2.7*10^8 Kg

acceleration, a= net Force/m
= 100,000 / (2.7*10^8)
=3.7*10^-4 m/s^2

use:
Vf = a*t
6 =3.7*10^-4 * t
t=16200 s
=16200/3600 hr
= 4.5 hr

Answer: 4.5 hours

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