The Mechanical Energy is given by the sum of the all energies of the system.
An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
<h3>What is mechanical energy?</h3>
Mechanical energy is the sum of potential energy and kinetic energy.
Total mechanical energy = P.E max = K.E max
Total mechanical energy = K.E +P.E
Given is the kinetic energy is (3/4)E.
E= (3/4)E + P.E
P.E = (1/4) E
Maximum potential energy =E = (1/2) k A²
Here. A is the maximum displacement and k is the spring constant.
The potential energy at kinetic energy of (3/4) E is
P.E = (1/4)E = (1/8) k A²
Therefore, the system's potential energy when kinetic energy of (3/4) E is (1/8) k A².
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Answer:
1.08×10⁹ J
Explanation:
From the question given above, the following data were obtained:
Power (P) = 100 kilowatt
Time (t) = 3 hours
Energy (E) =?
Next, we shall convert 100 kilowatt to Watts. This can be obtained as follow:
1 KW = 1000 W
Therefore,
100 KW = 100 KW × 1000 W / 1 KW
100 KW = 100000 W
Thus, 100 KW is equivalent to 100000 W.
Next, we shall convert 3 hrs to second (s). This can be obtained as follow:
1 h = 3600 s
Therefore,
3 h = 3 h × 3600 s / 1 h
3 h = 10800 s
Thus, 3 h is equivalent to 10800 s.
Finally, we shall determine the amount of energy consumed as follow:
Power (P) = 100000 W
Time (t) = 10800 s
Energy (E) =?
P = E/t
100000 = E / 10800
Cross multiply
E = 100000 × 10800
E = 1.08×10⁹ J
Therefore, 1.08×10⁹ J of energy was consumed.
Answer:
1%
Explanation: A cassegrain telescope is a kind of telescope which is made up of the curved mirrors one of the mirrors is a concave mirror is called the primary mirror and the second mirror called the secondary mirror which is a convex mirror, when light Penetrate the cassegrain telescope, it first hits the primary concave mirror and it's then reflected by the secondary convex mirror.
