Answer:
The distance covered by the rocket after fuel ran out is 
Explanation:
Given that the rocket moves with an acceleration 
time 
Since the rocket starts from rest initial velocity 
The distance it travelled within this time is given by

Velocity at this point is given by 

Given that at this height it runs out of fuel but travels further. Here final velocity
(maximum height), initial velocity
and time to zero velocity 
Thus it travels
more after fuel running out. The distance covered during this period is given

Then the magnitude of the net force is the difference between the two forces,
and its direction is the same as the direction of the greater one.
If Earth were 10.0 times farther away from the Sun than it is now, 100 times weaker would the gravitational force between the Sun and Earth.
What is Gravitational Force?
According to Newton's universal law of gravitation, The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them.
What causes gravitational force?
Earth's gravity comes from all its mass. All its mass makes a combined gravitational pull on all the mass in your body. That's what gives you weight. And if you were on a planet with less mass than Earth, you would weigh less than you do here.
Learn more about gravitational force:
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Answer:
the claim is not valid or reasonable.
Explanation:
In order to test the claim we will find the maximum and actual efficiencies. maximum efficiency of a heat engine can be found as:
η(max) = 1 - T₁/T₂
where,
η(max) = maximum efficiency = ?
T₁ = Sink Temperature = 300 K
T₂ = Source Temperature = 400 K
Therefore,
η(max) = 1 - 300 K/400 K
η(max) = 0.25 = 25%
Now, we calculate the actual frequency of the engine:
η = W/Q
where,
W = Net Work = 250 KJ
Q = Heat Received = 750 KJ
Therefore,
η = 250 KJ/750 KJ
η = 0.333 = 33.3 %
η > η(max)
The actual efficiency of a heat engine can never be greater than its Carnot efficiency or the maximum efficiency.
<u>Therefore, the claim is not valid or reasonable.</u>