Answer:
Part a)

Part b)

Part c)

Part 4)
angular acceleration will be ZERO
Part 5)

Explanation:
Part a)
Moment of inertia of the system about left end of the rod is given as

So we have





Part b)
If force is applied to the mid point of the rod
so the torque on the rod is given as




now angular acceleration is given as



Part c)
position of center of mass of rod and sphere is given from the center of the sphere as


so moment of inertia about this position is given as

so we have




Part 4)
If force is applied parallel to the length of rod
then we have


so angular acceleration will be ZERO
Part 5)
moment of inertia about right edge of the sphere is given as

so we have




The efficiency of steam engine is 26.66 %.
<h3>What is Efficiency?</h3>
The efficiency is defined as the work done by the engine divided by the heat supplied.
Work done is the difference between the heat supplied and heat rejected.
So, efficiency η = (Qs -Qr) / Qs
Given is the heat supplied Qs = 225 Joules and heat rejected Qr =285 . then the work done is
W = 225 -225 = - 60 Joules
Efficiency η = 60/225 x 100%
η = 26.66 %
Thus, the efficiency of the steam engine is 26.66 %.
Learn more about efficiency.
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Answer:
dT(t)/dt = k[T5 - T(t)]
Explanation:
Since T(t) represents the temperature of the object and T5 represents the temperature of the surroundings, according to Newton's law of cooling, the rate at which an object's temperature changes is directly proportional to the difference in temperature between the object and the surrounding medium, that is dT(t)/dt ∝ T5 - T(t)
Introducing the constant of proportionality
dT(t)/dt = k[T5 - T(t)]
which is the desired differential equation
Answer:
<em>a) 37.5N</em>
<em>b) 9.375Joules</em>
Explanation:
a) According to Hooke's law
F = ke
k is the spring constant
e is the extension;
F = 150 * 0.25
F = 37.5N
b) Work done on the spring = 1/2ke^2
Work done on the spring = 1/2 * 150 * 0.25^2
Work done on the spring = 75 * 0.0625
Work done on the spring = 9.375Joules
115km (71 miles) , the eclipse will also have a magnitude of 1.0306