The spring has been stretched 0.701 m
Explanation:
The elastic potential energy of a spring is the potential energy stored in the spring due to its compression/stretching. It is calculated as

where
k is the spring constant
x is the elongation of the spring with respect to its equilibrium position
For the spring in this problem, we have:
E = 84.08 J (potential energy)
k = 342.25 N/m (spring constant)
Therefore, its elongation is:

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Wave speed = (wavelength) x (frequency)
Wave speed = (4 m) x (3.5 /s)
<em>Wave speed = 14.0 m/s</em>
Answer:
A(i)
The solution to this question is shown on the second uploaded image
A(ii)
The final speed is 
B
The block speed after a distance L is 
Explanation:
From the question
The net force i the x-direction is mathematically represented as

From the the diagram in the second uploaded image we see that

Therefore

Making a the subject

Applying the law of motion

where u = 0 m/s and s =L

=> 
According to Energy conservation law and work theorem
Workdone by F + Workdone by gravity = change in kinetic energy
Mathematically this is given as

Since u = 0 m/s

Answer: 0.075
explanation:
you can use one of the equations of motion.
2as =v^2 - u^2
we shall make acceleration the subject as that's what we need to find out
a = (v^2 - u^2) / (2 × s)
now substitute the given values:
final speed would be zero as the airplane stops.
a = (75 - 0) / ( 2 × 500)
a = 75 ÷ 1000
a = 0.075 meters per second squared.
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>