The answer is 24.84kJ.
We apply the expression for the work done by the heat engine is,
. Putting all given values in the equation we get the final answer.
What is heat engine?
- A heat engine is a machine that uses heat to generate power. It draws heat from a reservoir, uses that heat to produce work, such as move a piston or lift weights, and then releases that heat energy into the sink.
- We are given:The heat input is
. The heat output is
. - The expression for the work done by the heat engine is,

- Substituting the given values in the above expression, we will get
=24.84kJ. - Thus, the work done by the heat engine is 24.84kJ.
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Complete Question
One day, after pulling down your window shade, you notice that sunlight is passing through a pinhole in the shade and making a small patch of light on the far wall. Having recently studied optics in your physics class, you're not too surprised to see that the patch of light seems to be a circular diffraction pattern. It appears that the central maximum is about 2 cm across, and you estimate that the distance from the window shade to the wall is about 5 m.
Required:
Estimate the diameter of the pinhole.
Answer:
The diameter is 
Explanation:
From the question we are told that
The central maxima is 
The distance from the window shade is 
The average wavelength of the sun is mathematically evaluated as

Generally the visible light spectrum has a wavelength range between 400 nm to 700 nm
So the initial wavelength of the sun is 
and the final wavelength is 
Substituting this into the above equation


The diameter is evaluated as

substituting values


The resulting change in the magnetic flux is =0.013Wb
what is magnetic flux?
Magnetic flux is defined as the number of magnetic field lines passing through a given closed surface. It provides the measurement of the total magnetic field that passes through a given surface area
Given:
At degree =15.5°,magnetic flux=magnetic field=0.500T
At degree=45.0°, magnetic field=0.500T
Magnetic flux=magnetic field ×Area×cos(angle)
magnetic flux (1) = 0.500×0.1×cos(15.5)
= 0.048
magnetic flux (2) = 0.500×0.1×cos(45)
=0.035
Resulting change in flux = 0.048-0.035
= 0.013Wb
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Answer:
(a) 152.85 Nm
(b) 1528.5 Nm
Explanation:
According to the formula of power
P = τ ω
ω = 2 π f
(a) f = 2500 rpm = 2500 / 60 = 41.67 rps
So, 40 x 1000 = τ x 2 x 3.14 x 41.67
τ = 152.85 Nm
(b) f = 250 rpm = 250 / 60 = 4.167 rps
So, 40 x 1000 = τ x 2 x 3.14 x 4.167
τ = 1528.5 Nm
Work = Force times Distance
W = Fd
Given W = 750J, F = 125N;
750 = 125d
Solving for d:
d = 750/125
d = 6
The box moved a distance of 6 meters.