Answer: $0.343/liter
Explanation: $1.29/gallon x 1 gallon/3.78541 liters = $0.343/liter
Daniel steps on the gas pedal of his car, and the engine increases its performance from zero to
2700 rpms (rotations per minute). What are the frequency and period?
(Hint: frequency is cycles per second.]
Answer
The frequency and the period are 45 cycles/second and 0.023 seconds
Explanation:
The frequency of the engine is given by :
[tex]f=\dfrac{rpm}{60}[/tex]
We have, the engine increases its performance from zero to 2700 rpms.
Frequency,
[tex]f=\dfrac{2700}{60}\ \text{cycles per second}\\\\f=45\ \text{cycles per second}[/tex]
The time period of the engine is given by :
T = f/f
So,
[tex]T=\dfrac{1}{45}\ s\\\\T=0.023\ s[/tex]
Hence, the required frequency and the period are 45 cycles/second and 0.023 seconds respectively.
Urgent Important!!
Many medications have a warning to avoid driving because.
A. they haven't been scientifically tested yet.
B. they have been proven to cause drowsiness.
C. they want to cover all their bases.
Answer:
B) they have been proven to cause drowsiness
Explanation:
B is the only answer that makes sense, as the other answers do not make sense. All medications are scientifically tested before they can be used by someone. Covering their bases would show negligence and is bad.
Hope this helps!
PS, this is biology or medical, not physics.
Which of the following is true about myelin?
It inhibits neural communication.
O It cannot be affected by illness.
It is covered by axons.
It's a fatty insulation.
It slows down neuronal operations.
Answer:
It's a fatty insulation.
Explanation:
"Myelin" is a fatty substance which insulates the axons of the nerve cells. Therefore, it covers the axons. This makes choice A correct and choice C incorrect.
This allows faster neural communication or hastens the transmission of signals between neurons. This makes choice A incorrect and choice E incorrect. It doesn't inhibit neural communication nor does it slow down neuronal operation; rather, it increases both speed.
Myelin can be affected by illness. An example of this is the disease called "Multiple Sclerosis," which targets the myelin sheath.
Two bodies of mass m₁ & m₂ are moving with the same velocity 'v' K.E. will be greater for??
Answer:
the one with a higher mass
Explanation:
The body with more mass will have the greater kinetic energy of the two.
Kinetic energy is the energy due to the motion of body. It is mathematically expressed as:
K.E = [tex]\frac{1}{2}[/tex] m v²
m is the mass
v is the velocity
Since the velocity of the two bodies are the same, and mass is directly proportional to kinetic energy, the body with more mass will have a higher kinetic energy.
So between mass m1 and mass m2, the one with a greater mass will have a higher kinetic energy
helpp pls .. Which statement is true about the process shown?
Answer:
I think its A
Explanation:
A 10 kilogram radio controlled airplane at 1000 meters has 100,000
joules of potential energy, and moving at 10 meters per second it has 500
joules of kinetic energy. How much mechanical energy does the radio
controlled airplane have? Include units in your answer but no decimal
point or digits to the right of the decimal point. *
Answer:
The mechanical energy of the airplane is 100,500 joules
Explanation:
The given parameters are;
The mass of the airplane = 10 kg
The height at which the airplane is located = 1000 meters
The potential energy of the airplane, P.E. = 100,000 joules
The speed of the airplane = 10 m/s
The kinetic energy of the airplane, K.E. = 500 joules
The Mechanical Energy, M.E. = The Potential Energy, P.E. + The Kinetic Energy, K.E.
M.E. = P.E. + K.E.
∴ M.E. = 100,000 joules + 500 joules = 100,500 joules
The mechanical energy of the airplane, M.E. = 100,500 joules.
Your 1500kg car is stuck behind a truck traveling 27 m/s. To pass it, you speed up to 34 m/s in
6.0 s. What power is required to do this?
Answer:
P = 53375[W]
Explanation:
First, we must use the following equation of kinematics, which allows us to calculate the acceleration value.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 34 [m/s]
Vo = initial velocity = 27 [m/s]
a = acceleration [m/s²]
t = time = 6 [s]
Now replacing:
[tex]34=27+a*6\\a=1.167[m/s^{2} ][/tex]
Now we must use Newton's second law, which tells us that the sum of forces is equal to the product of mass by acceleration. In this way, we have the following equation.
ΣF =m*a
where:
F = force [N]
m = mass = 1500 [kg]
a = acceleration = 1.167 [m/s²]
[tex]F=1500*1.167\\F=1750[N][/tex]
Power is defined as the product of force by speed. But we have two speeds, the initial and the final. We must use the average speed to be able to estimate the power needed.
[tex]V_{average}=\frac{34+27}{2} =30.5[m/s][/tex]
And the power:
[tex]P=F*V_{average}\\P=1750*30.5\\P=53375[W][/tex]
A ferris wheel with radius r rotates freely about its central
point with initial angular speed wi. A cart on the end
moves at linear speed 2v.
Suddenly, the ride deaccelerates so the cart moves with
speed v. The final angular speed is Of.
How does the angular speed of the ferris wheel
change?
Choose 1 answer:
Answer:
decreases by 2
Explanation:
The angular speed of the ferris wheel decreased by a factor of 2.
Angular speedThe angular speed of an object is the rate of change of angular displacement with time.
Relationship between angular speed and linear speedv = ωr
[tex]r = \frac{\omega }{v} \\\\\frac{\omega_1 }{v_1} = \frac{\omega_2 }{v_2} \\\\\omega_2 = \frac{\omega _1 v_2}{v_1} \\\\\omega _2 = \frac{\omega _i \times v}{2v} \\\\\omega _2 = \frac{1}{2} (\omega _1)[/tex]
Thus, the angular speed of the ferris wheel decreased by a factor of 2.
Learn more about angular speed here: https://brainly.com/question/6860269