Answer:
The image height is 3.0 cm
Explanation:
Given;
object distance,
= 15.0 cm
image distance,
= 5.0 cm
height of the object,
= 9.0 cm
height of the image,
= ?
Apply lens equation;

Therefore, the image height is 3.0 cm. The negative values for image height indicate that the image is an inverted image.
Answer:
375 m.
Explanation:
From the question,
Work done by the frictional force = Kinetic energy of the object
F×d = 1/2m(v²-u²)..................... Equation 1
Where F = Force of friction, d = distance it slide before coming to rest, m = mass of the object, u = initial speed of the object, v = final speed of the object.
Make d the subject of the equation.
d = 1/2m(v²-u²)/F.................. Equation 2
Given: m = 60.0 kg, v = 0 m/s(coming to rest), u = 25 m/s, F = -50 N.
Note: If is negative because it tends to oppose the motion of the object.
Substitute into equation 2
d = 1/2(60)(0²-25²)/-50
d = 30(-625)/-50
d = -18750/-50
d = 375 m.
Hence the it will slide before coming to rest = 375 m
The maximum amount of work performed is

Explanation:
The efficiency of a real heat engine is given by the equation:
(1)
where
is the temperature of the cold reservoir
is the temperature of the hot reservoir
However, the efficiency of a real heat engine can be also written as:

where
is the maximum work done
is the heat absorbed from the hot reservoir
can be written as

where
is the heat released to the cold reservoir
So the previous equation can be also written as
(2)
By combining eq.(1) and (2) we get

And re-arranging the equation and solving for
, we find

Learn more about work and heat:
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Answer:
83.72 K
Explanation:
= Polarizability of argon = 
I = First ionization = 1521 kJ/mol
r = Distance between atoms = 3.8 A
R = Gas constant = 8.314 J/mol K
T = Boiling point
Potential energy due to dispersion of gas is given by

Kinetic energy is given by
The potential and kinetic energy will balance each other

The boiling point of argon is 83.72 K