Answer:
2.5 m/s
Explanation:
(60*1.5+60*3.5)/120=2.5
or
(1.5+3.5)/2=2.5
A fuel tank for a rocket in space under a zero-g environment is rotated to keep the fuel in one end of the tank. The system is rotated at 3 rev/min. The end of the tank (point A) is 1.5 m from the axis of rotation, and the fuel level is 1 m from the rotation axis. The pressure in the nonliquid end of the tank is 0.1 kPa, and the density of the fuel is 800 kg/m3 . What is the pressure at the exit (point A)
Answer:
P₂ = 4098.96 Pa
Explanation:
For this exercise let's use Bernoulli's equation
Let's use the subscript 1 for the point of the liquid surface and the subscript 2 for the ends (point A)
P₁ + ½ ρ v₁² + ρ g y₁ = P₂ + ½ ρ v₂² + ρ g y₂
the velocity at the end of the tank
v₂ = w r₂
the velocity at the surface of the liquid is
v₁ - w r₁
where r₂ = 1.5 m and r₁ = 1 m
the tank pressure is P₁ = P₀ = 0.1 10³ Pa
P₂ = P₁ + ½ ρ [w² (r₁² - r₂²)] + ρ g (y₁ -y₂)
We must remember that the pressure measurements the distances are measured from the lowest part to the surface that has zero height
let's reduce the magnitudes to the SI system
w = 3 rev / min (2π rad / 1rev) (1 min / 60 s) = 0.314159 rad / s
let's calculate
P₂ = 0.1 10³ + ½ 800 0.314159² |(1² -1.5²)| + 800 9.8 |(1-1.5)|
P₂ = 0.1 103 +78.96 + 3920
P₂ = 4098.96 Pa
What is the kinetic energy of a 10kg object moving at 2.0m/s? *
Answer:
20J
Explanation:
\(KE = \frac{1}{2} mv^{2} = \frac{1}{2} (10)(2)^{2} =20J\)
I need help with questions b and d, that’s all.
Thank you.
b). The power depends on the RATE at which work is done.
Power = (Work or Energy) / (time)
So to calculate it, you have to know how much work is done AND how much time that takes.
In part (a), you calculated the amount of work it takes to lift the car from the ground to Point-A. But the question doesn't tell us anywhere how much time that takes. So there's NO WAY to calculate the power needed to do it.
The more power is used, the faster the car is lifted. The less power is used, the slower the car creeps up the first hill. If the people in the car have a lot of time to sit and wait, the car can be dragged from the ground up to Point-A with a very very very small power ... you could do it with a hamster on a treadmill. That would just take a long time, but it could be done if the power is small enough.
Without knowing the time, we can't calculate the power.
...
d). Kinetic energy = (1/2) · (mass) · (speed squared)
On the way up, the car stops when it reaches point-A.
On the way down, the car leaves point-A from "rest".
WHILE it's at point-A, it has no speed. So it has no (zero) kinetic energy.
An object of mass 2kg moves in circles at radius 8m at uniform speed of 30m/s calculate. A_angular velocity B_ceritripetal force
The angular velocity is 3.75 m/s and the centripetal force is 225 N respectively.
The angular velocity of an object with respect to some extent is a degree of the way rapid that item actions through the point's view, within the feel of the way speedy the angular function of the item modifications. An instance of angular pace is a ceiling fan. One blade will whole a complete round in a certain amount of time T, so its angular speed with respect to the middle of the ceiling fan is twoπ/T.
Calculation:-
A. angular velocity ω = v/r
= 30 /8
= 3.75 m/s
B. Centripetal force = mv²/r
= 2×30²/8
= 225 N
There are 3 formulations we will use to find the angular velocity. the primary comes instantly from the definition. The angular pace is the rate of alternate of the position attitude of an object with respect to time, so w = theta / t, in which w = angular pace, theta = position attitude, and t = time.
Learn more about angular velocity here:-brainly.com/question/20432894
#SPJ9
Which is the correct order that these theories emerged from earliest to latest
Answer:
Behavioralsm, psychodynamic, humanistic, cognitivism.
URGENT PLEASE HELP URGENT
Explanation:
w= mg
weight on earth= 50 * 9.8= 490 Newtons
weight on mars,= 50 * 3.7= 185 Newtons
please email me as brainlist!
short note on how to measure with Metre rule Micrometre screw gauge Vernier Caliper
Hold the measurement target between the screw gauge's anvil and spindle while applying light pressure. the main size reading of the a circular scale just before zero.
How are a vernier caliper and screw gauge used?Vernier calipers can be used for alike external and internal measurements, while screw gauges can only be used for external measurements. A vernier caliper has a minimum count of 0.001 cm while a screw gauge has a minimum count of 0.01 cm.
What is the purpose of a metre ruler?This metre ruler, commonly known as a metre stick, is used to measure short distances and lengths up with one metre. It is a measuring tool used to determine distances and rule straight lines in engineering drawings, geometry, engineering, printing, and construction.
To know more about circular scale visit:
https://brainly.com/question/23849016
#SPJ1
A ball is dropped from rest. If the Total energy at point 1 is 20 Joules, how much energy will there be at Point 3? Assume there is no air resistance
Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.
What is Potential energy?Potential energy is particularly useful for forces that change with position, as the gravitational force does over large distances. In Potential Energy and Conservation of Energy.
This works very well if g does not change significantly between. We return to the definition of work and potential energy to derive an expression that is correct over larger distances.
Work is the integral of the dot product between force and distance. Essentially, it is the product of the component of a force along a displacement times that displacement.
Therefore, Work and Kinetic Energy and Potential Energy and Conservation of Energy. The usefulness of those definitions is the ease with which we can solve many problems using conservation of energy.
To learn more about Work, refer to the link:
https://brainly.com/question/18094932
#SPJ1
Please I need help!!
Answer: A
Explanation:
Approximately 20.0gm of milk at 6.0oC is added into a cup containing 270.0 gm of weak tea. The specific heat of weak tea is 3.91 x 103J kg-1 oC-1 and the final temperature of the milk - tea mixture is 85.0oC. Given the initial temperature of the weak tea is 90.0oC, what is the specific heat of milk?
Answer:
4161 J/kg·°C
Explanation:
We can use the principle of conservation of energy to solve this problem, which states that the total heat energy in a closed system is constant. The heat lost by the tea is equal to the heat gained by the milk.
Let's first calculate the heat lost by the tea:
Q(tea) = mcΔT
Q(tea) = (0.27 kg)(3910 J/kg·°C)(90.0°C - 85.0°C)
Q(tea) = 6555 J
where m is the mass of tea, c is the specific heat of tea, and ΔT is the change in temperature.
Next, let's calculate the heat gained by the milk:
Q(milk) = mcΔT
Q(milk) = (0.02 kg)(c)(85.0°C - 6.0°C)
Now we can equate the two expressions:
Q(tea) = Q(milk)
6555 J = (0.02 kg)(c)(79.0°C)
Solving for c, we get:
c = 4161 J/kg·°C
Therefore, the specific heat of milk is approximately 4161 J/kg·°C.
Consider a stone in free fall on a planet with gravitational acceleration 3.4 m/s^2. Suppose you would like the stone to experience the same magnitude of acceleration down an inclined plane on Earth. Neglecting friction and air resistance, which angle should the inclined plane have with respect to the horizontal ? (in deg)
Answer:
Angle of incline is 20.2978°
Explanation:
Given that;
Gravitational acceleration on a planet a = 3.4 m/s²
Gravitational acceleration on Earth g = 9.8 m/s²
Angle of incline = ∅
Mass of the stone = m
Force on the stone along the incline will be;
F = mgSin∅
F = ma
The stone has the same acceleration as that of the gravitational acceleration on the planet.
so
ma = mgSin∅
a = gSin∅
Sin∅ = a / g
we substitute
Sin∅ = (3.4 m/s²) / (9.8 m/s²)
Sin∅ = 0.3469
∅ = Sin⁻¹( 0.3469 )
∅ = 20.2978°
Therefore, Angle of incline is 20.2978°
Relative to the frame of the observer making the measurement, at what speed parallel to its length is the length of a meterstick 60 cm?
Answer:
The speed of the observer is 2.4 x 10^8 m/s
Explanation:
The standard length of a meter stick is 100 cm
we are to calculate at what speed parallel to the length the length reduces to 60 cm.
This is a relativistic effect question. We know that the length will contract to this 60 cm following the equation below
\(l = l_{0}\sqrt{1 - \beta ^{2} }\)
where
\(l\) is the new length of 60 cm
\(l_{0}\) is the original length which is 100 cm
\(\beta\) is the the ratio v/c
where
v is the speed of the observer
c is the speed of light = 3 x 10^8 m/s
substituting values, we have
60 = \(100\sqrt{1 - \beta ^{2} }\)
0.6 = \(\sqrt{1 - \beta ^{2} }\)
we square both side
0.36 = 1 - \(\beta ^{2}\)
\(\beta ^{2}\) = 1 - 0.36 = 0.64
β = \(\sqrt{0.64}\) = 0.8
but β = v/c
v/c = 0.8
substituting value of c, we have
v = 0.8 x 3 x 10^8 = 2.4 x 10^8 m/s
The speed of propagation of the action potential (an electrical signal) in a nerve cell depends (inversely) on the diameter of the axon (nerve fiber). If the nerve cell connecting the spinal cord to your feet is 1.3 m long, and the nerve impulse speed is 33 m/s, how long (in s) does it take for the nerve signal to travel this distance?
Answer:
Explanation:
Speed of electrical nerve signal = 33 m /s
Distance travelled = 1.3 m
time taken = distance / speed
= 1.3 / 33
= .039 s
= 39 ms ( millisecond ) .
A cylinder with a torque of 75.0 N
m rotates with an
angular acceleration of 8.5 rad s².
Calculate the
moment of inertia of the cylinder.
The Moment of inertia of the cylinder is equal to 8.82 Kgm².
The propensity of a force to produce or modify the rotational motion of a body is known as torque, also known as moment, or moment of force. It is a force that causes an object to twist or turn. Force and distance are multiplied to calculate torque. It has both a direction and a magnitude because it is a vector quantity. Newton-meters, or N*m, is the torque unit in the SI system.
A spinning object's change in angular velocity per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It has a vector form.
Given in the question
Torque = 75 Nm
Angular acceleration = 8.5 rad/s²
Torque = Angular acceleration × moment of inertia
Put in the value, we get
Moment of inertia = 75/ 8.5
Moment of inertia = 8.82 Kgm²
So the Moment of inertia of the cylinder is equal to 8.82 Kgm².
LEARN MORE ABOUT TORQUE HERE:
https://brainly.com/question/20691242
#SPJ9
Similarities between football and badminton ?
Answer:
Explanation:
Football and badminton enquire you use your lems and you would need equipment
Football and badminton enquire you use your legs and you would need equipment.
What are the similarities between badminton and tennis?Similarities of Tennis & Badminton both are racket sports. both video games consist of a net in which the ball/shuttlecock needs to be hit over the internet to the opponent's court which will win the point. Both video games have guys singles, guys doubles, girls singles, girls doubles, and combined doubles categories.
Each game and sports activities have hard and fast policies, which ensure honest opposition. they may involve teams or individual competitions. Human beings play video games and sports for activity and amusement, but in addition, they benefit from numerous skills and understanding via video games and sports activities.
While soccer is played through feet, handball is a game played by using hand. Both sports have some similarities which consist of the function of the goalkeeper who can play with ft and arms in the strive of saving the ball from attaining the purpose.
Learn more about football and badminton here: https://brainly.com/question/23884408
#SPJ2
In Newtonian ring observation equipment, the space between the lens and the glass plate is filled with liquid. Calculate the refractive index of the liquid if the radius of the third bright ring is 3.65 mm. Observations are made in transmitted light. The radius of curvature of the lens is 10m. The wavelength of light is 0.0000589 cm.
The answer is 1.33, but how?????
To calculate the refractive index of the liquid, we can use the formula for the radius of the nth bright ring in Newton's rings: \(r_n\) = √(n × λ × R). Therefore, the refractive index of the liquid is approximately 1.378.
\(r_n\) = √(n × λ × R) (formula )
Where: \(r_n\) is the radius of the nth bright ring,
n is the order of the ring,
λ is the wavelength of light,
and R is the radius of curvature of the lens.
the third bright ring (r_3 = 3.65 mm = 0.365 cm), the radius of curvature of the lens (R = 10 m = 1000 cm), and the wavelength of light (λ = 0.0000589 cm).
n = \(r_n\) / √(n × λ × R)
Substituting the given values:
n = 0.365 / √(3 × 0.0000589 × 1000)
Calculating the value:
n ≈ 1.378 ( refractive index)
Learn more about the refractive index here
https://brainly.com/question/15733929
#SPJ1
450 grams of water vapor is kept at 14°C and a pressure of 1 atm. Find the volume of the gas in
m^3.
Answer:
probably it is that in physics you should
Explanation:
A solenoid with ends marked a and b is suspended by a thread so that the core rotate in the horizontal plane, a current is maintained in the coil so that the electrons move clockwise when viewed from end a toward end b. how will the coil align itself in earth’s magnetic field?
The coil will align itself vertically, with one end (end b) pointing towards the Earth's surface and the other end (end a) pointing upwards, due to the interaction between the counterclockwise current flow and Earth's downward-pointing magnetic field lines in the northern hemisphere.
When a solenoid with a current-carrying coil is suspended by a thread in the horizontal plane, and the electrons move clockwise when viewed from end a toward end b, the coil will align itself in Earth's magnetic field based on the interaction between the current and the magnetic field.
Earth has a magnetic field that extends from its magnetic north pole to its magnetic south pole. The magnetic field lines form loops around the Earth. In the northern hemisphere, the magnetic field lines point downward into the Earth, while in the southern hemisphere, they point upward.
Based on the right-hand rule, which states that if you point your thumb in the direction of the current, the fingers will curl in the direction of the magnetic field, we can determine how the coil will align itself.
Given that the electrons in the coil move clockwise from end a to end b, the current flows in the opposite direction, counterclockwise, from end b to end a.
Using the right-hand rule, if we align our right hand with our thumb pointing in the counterclockwise direction (opposite to the current flow), the magnetic field lines from Earth would be represented by the direction in which our fingers curl.
Since the magnetic field lines in the northern hemisphere point downward into the Earth, the coil will align itself such that the bottom of the coil (end b) will be attracted towards the Earth's surface, while the top of the coil (end a) will point upwards.
For more such questions on counterclockwise visit:
https://brainly.com/question/9238896
#SPJ11
1. What is the distance covered by a T-Rex that goes from 0 m/s to 9 m/s in 6.78 seconds? (10
points)
With the use of first and third equation of motion, the distance covered by a T-Rex is 30.51 m
Linear MotionWhen a body is in linear motion, the body is moving in a straight line. some of the parameters to consider are:
Distance coveredSpeedVelocityAccelerationE.T.CGiven that a T-Rex move from 0 m/s to 9 m/s in 6.78 seconds, the distance covered can be found by calculating the acceleration.
Let us use equation 1
V = U + at
9 = 0 + 6.78a
a = 9 / 6.78
a = 1.33 m/\(s^{2}\)
Now let us use equation 3
\(v^{2}\) = \(u^{2}\) + 2as
\(9^{2}\) = 2 x 1.33 x S
81 = 2.655S
S = 81/2.655
S = 30.51 m
Therefore, the distance covered by a T-Rex is 30.51 m.
Learn more about Linear Motion here: https://brainly.com/question/12721831
you take a running leap, leaving the ground with a speed 6.00 m/s at an anglle 40.0 degrees above horizontal.
The maximum height reached while running is calculated to be 0.75m.
The formula for the maximum height of the projectile motion is given by
H = u² (sin θ)²/2g
where, θ is the angle made with the horizontal
H is the maximum height reached
g is the acceleration due to gravity
u is the initial velocity
Given that, u = 6 m/s
g = 10 m/s²
θ = 40°
Substituting the above values, we have,
H = u² (sin θ)²/2g = 6² * (sin 40°)² / 2 * 10 = 36* 0.414/20 = 0.75 m
Thus, the maximum height reached while running is 0.75m.
To know more about height:
https://brainly.com/question/15416364
#SPJ4
What characteristics determine how easily two substances change temperature? Check all that apply.
volume of the two substances in contact
amount of time the two substances are in contact
Oarea in contact between the two substances
specific heat of the material that makes up the substances
density of the two substances in contact
Answer:
The characteristics that determine how easily two substances change temperature are:
specific heat of the material that makes up the substancesarea in contact between the two substancesThe volume and density of the substances and the amount of time they are in contact do not directly affect how easily they change temperature.
Explanation:
6. A capacitor of charge 3 x 10 coulomb has a potential of 50volts. What is the capacitance of the capacitor?
Answer:
Explanation:
Sry
Answer:
C = Q/V
where C is capacitance, Q is charge and V is voltage
C = (3×10)/50
C = 30/50
= 0.6F where F is in Farads
Which of the following shows evidence of the carbon cycle?
a. A fox getting its energy from a mouse and a mouse getting its energy
from the grass.
b. Plants growing in a greenhouse.
c. Water falling as rain then evaporating back into the atmosphere.
d. A river flowing to the ocean.
A fox getting its energy from a mouse and a mouse getting its energy from the grass shows evidence of the carbon cycle
What is the carbon cycle?The carbon cycle is a necessary component within the global interchange between living species and the environment.
Through photosynthesis, plants absorb carbon dioxide from the atmosphere and convert it into vitalizing organic matter for consumption by animals; these organisms expend the energy obtained and consequently expel carbon dioxide back up into the air via respiration.
Moreover, when animals meet their demise and decompose, the carbon in their bodies is redeposited into Earth's soil only to eventually be delivered once again to the atmosphere through erosive activities or those generated from volcanoes.
Read more on carbon cycle here:https://brainly.com/question/12005308
#SPJ1
An alpha particle consists of two protons and two neutrons. How will the emission of an alpha particle affect the following:
a. The atomic number of the atom: _______Atomic Number will go down_______
b. The mass number of the atom: ___Mass number will go down____________
Answer:
a) The atomic number decreases by 2 units
b) the atomic mass decreases by 4 units
Explanation:
An alpha particle is a helium nucleus, which is why it is made up of two positive protons and two negative neutrons, the mass of the particles is almost the same.
a) The atomic number decreases by 2 units
b) the atomic mass decreases by 4 units
two car moving in the same direction have speed of 100km/h-1 and 130km/h.what is the resultant of velocity .shoe carnival in the same direction having speed of 100 km per hour - 1 and 130 km per hour to kilometre-per-hour - 1
Answer:
jjjjjjhshahshhddhdhh
2 forces are acting on a body. I forgot the body doesn't it's position or shape, the forces.......a)must be of equal magnitude b)must be parallel and opposite c)must add upto zero d)must be in a single line
Answer:
C
Explanation:
only if there is a net force of zero, the body will not move
some people may say B but that is wrong because maybe one force is greater than the other so the object would still move even though the forces are in opposite directions and parallel
what is fundamental quantity
Answer:
The Fundamental Quantity is a physical quantity that exists independently and cannot be expressed by any other physical quantity.
Explanation:
Examples of these could be : Length, electric current and mass
Hope this helps! :)
Assume you are a trainer at a local gym. There is evidence that intense or exhaustive physical exercise can increase the production of free radicals. Antioxidants can be used to combat the damage caused by free radicals. One of your competitive athletes has heard bits and pieces of this information and asks you more about it. How would you counsel him?
Use language that the average person will understand, respond to this athlete and be sure to include the following information as a part of your response:
What is meant by oxidation and why can it be damaging to cells?What are free radicals?Why do we produce free radicals if they can damage my body?What are antioxidants? How do antioxidants combat free radicals?What foods are high in antioxidants?Should your friend buy an antioxidant supplement?
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
Learn more about heat:
https://brainly.com/question/16398667
#SPJ1
3. What is the acceleration of a cart with a F = 80 N and m = 32 kg? *
2.0 m/s^2
O 2.5 m/s^2
2.8 m/s^2
2.7 m/s^2
Answer:
2.5 m/s^2
Explanation:
Given the following data;
Force = 80N
Mass = 32kg
To find acceleration;
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
\( F = ma\)
Where;
F represents force.
m represents the mass of an object.
a represents acceleration.
Making acceleration (a) the subject, we have;
\(Acceleration (a) = \frac{F}{m}\)
Substituting into the equation;
\(Acceleration (a) = \frac{80}{32}\)
Acceleration = 2.5m/s²