Answer:
The total power associated with sunlight shining on the Earth is 8.04 × 10^10W
Explanation: Please see the attachment below
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2 answers:
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Answer:
The minimum speed needed at the top of the circle so that the cord remains tensioned and the ball's path remains circular is approximately is 9.903 meters per second.
Explanation:
By the Principle of Energy Conservation we understand that the minimum speed needed by the ball is that speed such that maximum height reached is equal to the diameter of the vertical circle, that is:
(1)
Where:
- Translational kinetic energy, measured in joules.
- Gravitational potential energy, measured in joules.
By definitions of translational kinetic and gravitational potential energies, we expand the equation above and clear the initial speed of the ball:
(2)
Where:
- Mass, measured in kilograms.
- Initial speed, measured in meters per second.
- Gravitational acceleration, measured in meters per square second.
- Maximum height of the ball, measured in meters.
If we know that and
, then the initial speed of the ball is:
The minimum speed needed at the top of the circle so that the cord remains tensioned and the ball's path remains circular is approximately is 9.903 meters per second.
Answer:
U = 25 J
Explanation:
The energy in a set of charges is given by
U =
in this case we have three charges of equal magnitude
q = q₁ = q₂ = q₃
with the configuration of an equilateral triangle all distances are worth
d = a
U = k ( )
we substitute
15 = k q² (3 / a)
k q² /a = 5
For the second configuration a load is moved to the measured point of the other two
d₁₃ = a
The distance to charge 2 that is at the midpoint of the other two is
d₁₂ = d₂₃ = a / 2
U = k (\frac{q_1q_2}{ r_1_2 } + \frac{q_1q_3}{r_1_3} + \frac{q_2q_3}{r_2_3})
U = k q² ( )
U = (kq² /a) 5
substituting
U = 5 5
U = 25 J