A quarterback, Patrick, throws a football down the field in a long arching trajectory to wide receiver, Tyreek. The football and
1 answer:
Answer:
the statement is False = cos θ
Explanation:
Let's analyze this problem, the ball and the receiver leave the same point and we want to know if at the same moment they reach the same point, for this we must have both the ball and the receiver travel the same distance.
Let's start by finding the time it takes for the ball to reach the ground
y = t - ½ g t²
when it reaches the ground its height is y = 0
0 = vo sin θ - ½ g t²
0 = t (vo sin θ - ½ g t)
The results are
t = 0 exit point
t = 2 v₀ sin θ/g arrival point
at this point the ball traveled
= v₀ₓ t
x_{ball} = v₀ cos θ 2v₀ sin θ / g
x_{ball}= 2 v₀² cos θ sin θ/ g
Now let's find that distantica traveled the receiver in time
= v₀ t
x_{rec} = v₀ (2 v₀ sin θ / g)
x_{rec} = 2 v₀² sin θ / g
without dividing this into two distances
= cos θ
therefore the distances are not equal to the ball as long as behind the receiver
Therefore the statement is False
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Faraday's law allows us to find the magnetic field that produces the emf in the rotating system is:
- The magnetic field is: B = 0.424 T
Faraday's law of induction states that when the magnetic flux changes in time, an induced electromotive force is produced.
fem =
where fem is the induced electromotive force and Ф the flux,
The magnetic flux is the scalar product of the field and the area.
In this case we have several turns, so the expression remains.
fem =
Indicate that the turns rotate at a constant frequency, therefore we can use the uniform rotational motion ratio.
θ = w t
We substitute
the maximum induced electromotive force occurs when the sine function is ±1
fem = N B A w
They indicate that the fem = 24 V, the number of the turn is N = 20, the area is A = 75 cm² = 75 10⁻⁴ m² and the frequency f = 60 Hz
Frequency and angular velocity are related.
w = 2π f
We substitute.
fem = N B A 2π f
Let's calculate.
B = 24 / 2pi 20 75 10-4 60
B = 0.424 T
In conclusion, using Faraday's law we can find the magnetic field that produces the emf in the rotating system is:
- The magnetic field is; B = 0.424 T
Learn more about Faraday's law here: brainly.com/question/24617581
Answer: 20.765 m/s
Explanation:
This problem can be solved by the conservation of energy principle, this means the initial energy must be equal to the final energy
:
(1)
Where each energy is the sum of kinetic energy and potential energy
:
(2)
Where:
Being your mass and
your initial velocity, since the roller coaster sterted from rest.
Being the acceleration due gravity and
your initial height
Being your final velocity
Being your final height
Rewritting (2):
(3)
(4)
Isolating :
(5)
(6)
Finally:
This is your spedd when you arrive at 3 m height