A young diver is practicing his skills before an important team competition. Use the diagram below in order to analyze the energ
ies of the diver and complete the statements below.
Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.
A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is
A. 1350 J
B. 8820 J
C. 4410 J
D. 0 J
and his velocity is
E. 4.5 m/s
F. 0 m/s
G. 3.2 m/s
H. 9.9 m/s
Please help will mark brainliest
Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.
A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is
A. 1350 J
B. 8820 J
C. 4410 J
D. 0 J
and his velocity is
E. 4.5 m/s
F. 0 m/s
G. 3.2 m/s
H. 9.9 m/s
Please help will mark brainliest
2 answers:
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Complete Question
A power supply has an open-circuit voltage of 40.0 V and an internal resistance of 2.00 . It is used to charge two storage batteries connected in series, each having an emf of 6.00 V and internal resistance of 0.300
. If the charging current is to be 4.00 A, (a) what additional resistance should be added in series? At what rate does the internal energy increase in (b) the supply, (c) in the batteries, and (d) in the added series resistance? (e) At what rate does the chemical energy increase in the batteries?
Answer:
a
The additional resistance is
b
The rate at which internal energy increase at the supply is
c
The rate at which internal energy increase in the battery is
d
The rate at which internal energy increase in the added series resistance is
e
the increase rate of the chemically energy in the battery is
Explanation:
From the question we are told that
The open circuit voltage is
The internal resistance is
The emf of each battery is
The internal resistance of the battery is
The charging current is
Let assume the the additional resistance to to added to the circuit is
So this implies that
The total resistance in the circuit is
Substituting values
And the difference in potential in the circuit is
=>
Now according to ohm's law
Substituting values
Making the subject of the formula
So
The increase rate of internal energy at the supply is mathematically represented as
Substituting values
The increase rate of internal energy at the batteries is mathematically represented as
Substituting values
The increase rate of internal energy at the added series resistance is mathematically represented as
Substituting values
Generally the increase rate of the chemically energy in the battery is mathematically represented as
Substituting values
Answers:
a) 30 m/s
b) 480 N
Explanation:
The rest of the question is written below:
a. What is the final speed of the falcon and pigeon?
b. What is the average force on the pigeon during the impact?
<h3>a) Final speed</h3>This part can be solved by the Conservation of linear momentum principle, which establishes the initial momentum before the collision must be equal to the final momentum
after the collision:
(1)
Being:
Where:
the mas of the peregrine falcon
the initial speed of the falcon
is the mass of the pigeon
the initial speed of the pigeon (at rest)
the final speed of the system falcon-pigeon
Then:
(2)
Finding :
(3)
(4)
(5) This is the final speed
In this part we will use the following equation:
(6)
Where:
is the force exerted on the pigeon
is the time
is the pigeon's change in momentum
Then:
(7)
(8) Since
Substituting (8) in (6):
(9)
(10)
Finally: