A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (1⁄4θ²) N, where θ is in radians, is applied to the cord, determine the disk’s angular acceleration when it has turned 5 revolutions. The disc has an initial angular velocity [tex]\omega _o = 1 \ rad/s[/tex] and radius from the center of the disc = 300 mm
Answer:
the angular acceleration = 205.706 rad/sec²
Explanation:
GIVEN THAT:
The disc mass = 8 kg
Force = [tex]\dfrac{1}{4} \ \ \theta ^2* N[/tex]
We are told that the given θ is in radians; Therefore; the when it has turned 5 revolutions; we have the θ to be:
[tex]\theta = 5 rev * (\dfrac{2 \ \pi * rad}{1 rev}) \\ \\ \theta = 10 \ \pi \ rad[/tex]
Also;
the initial angular velocity [tex]\omega _o = 1 \ rad/s[/tex]
radius from the center of the disc = 300 mm = 0.3 m
Thus; the mass moment about the Inertia can be determined via the following expression;
[tex]I_o = \dfrac{1}{2}*m*r^2[/tex]
[tex]I_o = \dfrac{1}{2}*8*0.3^2[/tex]
[tex]I_o = 0.36 \ kg/m^3[/tex]
Now to calculate the angular acceleration; we equate the sum of the moments acting on the Inertia;
SO:
[tex]\sum M_o = I_o \alpha[/tex]
[tex]F*0.3 = 0.36* \alpha[/tex]
[tex]\dfrac{1}{2}* \theta^2 *0.3 = 0.36* \alpha[/tex]
[tex]\alpha = 0.20836 \ \theta^2 \ rad/sec^2[/tex]
[tex]\alpha = 0.20836 \ (10 \ \pi )^2 \ rad/sec^2[/tex]
[tex]\alpha = 205.706 \ rad/sec^2[/tex]
Hence; the angular acceleration = 205.706 rad/sec²
which of the following terms describes a machine that converts heat into work?
A. Entropy pump
B. Heat engine
C. Heat pump
D. Entropy engine
Answer: A
Heat engine
Explanation: just took the test
A 45-gram object that has a volume of 9 mL has a density of
a. 5 g/mL
b. 54 g/mL
c. 36 g/mL
d. 405 g/mL
Answer:
The answer is a. 5g/mLExplanation:
Given data
mass m= 45g
volume v= 9mL
we know that density=m/v
substituting our given data we have
[tex]density=\frac{45}{9} =5g/mL[/tex]
What is Density?
The Density of a body can be defined as the ratio of mass to volume,
or
Density, mass of a unit volume of a material substance. The formula for density is [tex]Density= \frac{mass}{volume}[/tex],
where d is density,
M is mass, and
V is volume.
Density is commonly expressed in units of grams per cubic centimetre.
what is the defination o
f temperature
Answer: The degree or intensity of heat present in a substance or object, especially as expressed according to a comparative scale and shown by a thermometer or perceived by touch.
How much energy sun release in the form of radiation
Answer: Hope this is right
4 x 10^26 watts every second.
Explanation:
The sun, like all active stars, is a massive hydrogen-burning furnace producing huge amounts of light, heat and radiation, about 4 x 10^26 watts every second.
Explain why a Merry-Go-Round and a Ferris Wheel have a constant acceleration when they are moving.
Answer must be at least two sentences and contain words such as velocity and acceleration.
Explanation:What is centripetal acceleration?
Can an object accelerate if it's moving with constant speed? Yup! Many people find this counter-intuitive at first because they forget that changes in the direction of motion of an object—even if the object is maintaining a constant speed—still count as acceleration.
Acceleration is a change in velocity, either in its magnitude—i.e., speed—or in its direction, or both. In uniform circular motion, the direction of the velocity changes constantly, so there is always an associated acceleration, even though the speed might be constant. You experience this acceleration yourself when you turn a corner in your car—if you hold the wheel steady during a turn and move at constant speed, you are in uniform circular motion. What you notice is a sideways acceleration because you and the car are changing direction. The sharper the curve and the greater your speed, the more noticeable this acceleration will become. In this section we'll examine the direction and magnitude of that acceleration.
The figure below shows an object moving in a circular path at constant speed. The direction of the instantaneous velocity is shown at two points along the path. Acceleration is in the direction of the change in velocity, which points directly toward the center of rotation—the center of the circular path. This direction is shown with the vector diagram in the figure. We call the acceleration of an object moving in uniform circular motion—resulting from a net external force—the centripetal acceleration
a
c
a
c
a, start subscript, c, end subscript; centripetal means “toward the center” or “center seeking”.
why is sun the only star that can be seen during day time
Explanation:
i think the sun is near the earth that's why we see the sun during the day and the moon is behind the sun so when it is in the night the moon will remove in front the sun and there will be night I hope it will help you
True or false. When populations do not exceed their environment carrying capacity biology communities are stable?
Answer:
True
Explanation:
A rocket is launched from atop a 101 foot cliff with an initial velocity of 116 ft/s.
\a. Substitute the values into the vertical motion formula h(t) = -16t2 + vt + h0 . Let h(t) = 0
b. How long will the rocket take to hit the ground after it is launched? Round to the nearest tenth of a second.
Answer:
A. 16t2 -116t -101=0 B. 8.0s
Explanation:
Known parameters from the question:
Height of Cliff,h0 = 101ft
Velocity of rocket ,v= 116ft/s.
1.Substituting the above to the above formula we have;
h(t) = -16t2 + vt + h0
Since h(t) =0, it means the rocket is falling towards the ground, when it gets to the ground when it's at rest the height h(t) = 0m
{Note the rocket is launched from the height of the Cliff so that would be the initial height of the rocket,h0}
2.Substituting into h(t) = -16t2 + vt + h0
We have;
0 = -16t2 + 116t + 101=> 16t2 -116t -101=0
Using formula method for solving quadratic equation we have;
t = -(-116)+_√[(-116)^2 -( 4× 16 ×-101]/ (2× 16)
t = [116 +_(141.1382)]/32
t = (116 -141.1382)/32 or (116 +141.1382)/32
-0.786s or 8.036s
-0.8s or 8.0s to the nearest tenth.
Now time cannot be negative in real life situation hence the time is 8.0s
Note : the general equation of a quadratic equation with variable t is given below;
at2 + bt + c=0
Formula method for quadratic equation is :
t =( -b+_√[(b^2 -( 4× a×c)] ) / (2× a)
iv. The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. What is the power of the lift? (1 point)
Answer:
Power is 4373.25 W
Explanation:
We have,
The lift raises a car of mass 850 kg to a height of 2.1 m. It uses a force of 8330 N and takes 4 seconds to raise the car. It is required to find the power of the lift. Power is equal to the rate at which the work is done. So,
[tex]P=\dfrac{Fd}{t}\\\\P=\dfrac{8330\times 2.1}{4}\\\\P=4373.25\ W[/tex]
So, the power of the lift is 4373.25 W.
Which of Galileo's theories drew fire from the Catholic Church and led to his
house arrest?
Answer:
imma have to come back to you on that one
Answer:
The Sun is at the center of the solar system and the planets move around it.
Explanation:pluto/edmentum
Does thermal energy flow from warmer objects to cooler objects
Answer:yes
Explanation:
Thermal energy is the sum of all kinetic and potential energy in a substance. He is the thermal energy that flows from a warmer object to a cooler object.
heat is the thermal energy that flows from warmer objects to cooler objects. heat only flows one way, from warmer to cooler objects. net heat transfer ends when two objects reach the same temperature. (thermal equilibrium)
A helium ion of mass 4m and charge 2e is accelerated from rest through a potential difference V in vacuum. Its final speed will be
Answer:
Final Velocity = √(eV/m)
Explanation:
The Workdone, W, in accelerating a charge, 2e, through a potential difference, V is given as a product of the charge and the potential difference
W = (2e) × V = 2eV
And this work is equal to change in kinetic energy
W = Δ(kinetic energy) = ΔK.E
But since the charge starts from rest, initial velocity = 0 and initial kinetic energy = 0
ΔK.E = ½ × (mass) × (final velocity)²
(Velocity)² = (2×ΔK.E)/(mass)
Velocity = √[(2×ΔK.E)/(mass)]
ΔK.E = W = 2eV
mass = 4m
Final Velocity = √[(2×W)/(4m)]
Final Velocity = √[(2×2eV)/4m]
Final Velocity = √(4eV/4m)
Final Velocity = √(eV/m)
Hope this Helps!!!
Who is prime minister of india
His name is
Narendra Modi
Answer:
Hey!
*its kinda the wrong topic but ill answer anyway!!!*
The Prime Minister of India is...
Narendra ModiExplanation:
HOPE THIS HELPS!!
What do nuclear fission and nuclear fusion have in common?
A. They start with the same reactants.
B. They're both used in power plants.
C. Their products have more mass than their reactants.
D. Their products have less mass than their reactants.
Answer:
B
Explanation:
Fission and Fission are nuclear reaction processes that releases energy.
Fission is the process where the nuclei of an atom splits into smaller nuclei of same element or elements of smaller nuclei when Fussion is when two smaller nuclei combined to form one of a different element of a higher nuclei. These processes release energy.
Answer:
D. Their products have less mass than their reactants.
Explanation:
a motorcar is moving with a velocity of 108 km / h and it takes 4s to stop after the brakes are applied calculate the force exerted by the brakes on the motorcar if it's mass along with the passengers is 1000 kg
Answer:
-7500 N
Explanation:
v₀ = 108 km/h = 30 m/s
v = 0 m/s
t = 4 s
a = Δv / Δt
a = (0 m/s − 30 m/s) / 4 s
a = -7.5 m/s²
F = ma
F = (1000 kg) (-7.5 m/s²)
F = -7500 N
Answer:-7500
Explanation v₀ = 108 km/h = 30 m/s
v = 0 m/s
t = 4 s
a = Δv / Δt
a = (0 m/s − 30 m/s) / 4 s
a = -7.5 m/s²
F = ma
F = (1000 kg) (-7.5 m/s²)
F = -7500 N
plz help!
A driver in a car moving with the velocity 72km/hr sees a cow on a road 20m ahead. He applies the brake and the car stops in 4 second . Does an accident occur ? After what distance does the car come to rest?
3. You are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600
miles from
San Francisco. What is your speed in
m/s?
Answer:
268.22 m/s
Explanation:
An hour into the flight, you are 600 miles from San Francisco.
This sentence says that speed is 600 mi/h.
Now we need to convert it into m/s.
1 mi = 1609.34 m
1 h = 60 min = 60 min *60 s/1min = 3600 s
600 mi/h * 1609.34 m/1 mi * 1h/ 3600s= 600*1609.34/3600 m/s= =268.22 m/s
If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then your speed would have been 600 miles/hour.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem, If you are flying 2586 miles from San Francisco to New York. An hour into the flight, you are 600 miles from San Francisco then we have to find your speed,
Total distance traveled from San Francisco to New York in one hor= 600 miles
speed of the flying plane = distance traveled in one hour time period
= 600 miles/hour
Thus, your speed would have been 600 miles/hour.
Learn more about speed from here,
brainly.com/question/7359669
#SPJ2
What are the eight states of matter?
HELLO ONCE MORE FRIENDS . PLEASE HELP ME.
Q.18) In the figure below, Force (F) of 2000 N is acting on the piston A and a bus is on the piston B. If the area of piston A is 50 cm2 and the area of piston B is 4000 cm2
a)Find the pressure produce of the piston B . (3 marks)
b)Find the weight of the bus on the poston B. ( 3 marks)
c)Calculate the mass of the bus. ( 3 marks)
Answer:
Do u want to talk?
Explanation:
Answer:
You found answer yet?
Explanation:
Un gas se encuentra a una presión constante y a una temperatura de 30°C. Si la temperatura aumenta a 45°C, su presión varía a 6 atm. ¿Cuál era la presión inicial del gas? Transforma los °C en °K.
Answer:
P1 = 5.76 atm
Explanation:
To find the initial pressure of the gas you use the equation for ideal gases, for both temperatures and pressures:
[tex]P_1V=nRT_1\\\\P_2V=nRT_2\\\\[/tex]
T1: initial temperature = 30°C = 303.15K
T2: final temperature = 45°C = 318.15K
P1: initial pressure = ?
P2: final pressure = 6atm
n: number of moles
R: ideal gas constant
The number of moles and R are constant, you can dive the first equation into the second and solve for P1:
[tex]\frac{P_1V}{P_2V}=\frac{nRT_1}{nRT_2}\\\\\frac{P_1}{P_2}=\frac{T_1}{T_2}[/tex]
[tex]P_1=\frac{T_1P_2}{T_2}[/tex]
Finally, you replace the values of T1, P2 and T2:
[tex]P_1=\frac{(303.15K)(6atm)}{318.15K}=5.71atm[/tex]
hence, the initial pressure of the gas was 5.71 atm
You are on an interstellar mission from the Earth to the 8,7 light-years distant star Sirius. Your spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of 6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an approximated density of 1 hydrogen atom/m3 (a) Calculate the time it takes your spaceship to reach Sirius. (b) Determine the mass of interstellar gas that collides with your spaceship during the mission. Note:use 1,673x 10^-27 kg as proton mass
Answer:
Time = 12.43 years
Mass = 4.71.43kg
Explanation:
Given the following :
Distance = 8.7 light years
Speed = 70% the speed of light
Diameter = 6m
Lengtg = 25m
Density = 1 hydrogen atom/m^3
Mass of proton(Me) = 1.673x 10^-27
A.) time it takes your spaceship to reach Sirius :
From the relation: Speed = (distance / time)
Time = distance / speed
Time = (70/100) × 1 light year
Distance = 8.7 light years
Time = 8.7 / 0.7 = 12.4285 years
Time = 12.43 years
B.) Mass of inter-stellar gas that collides with the spaceship can be calcuted by finding the product of the surface area of the cylindrical space ship and the mass of proton.
That is ;
surface area * mass of proton
Surface area of a cylinder = 2πrh + πr^2×Me
= 2πrh + Me×πr^2)
=( 2 × 22/7 × 3 × 25) + (22/7 × 3^2 × 1.673 * 10^-27)
= 2× 235.714 + 28.285) × 1.673 * 10^-27
= 471.428 + 47.31 * 10^-27
= 471.428 + 4.73 × 10^-26
= 4.71.43kg approximately
the components and functionality of the event horizon telescope.
Answer:
The Event Horizon Telescope comprises of a an interconnection of radio observatories. These radio observatories work in unison and helps in efficient observation of radio sources associated with black holes with angular resolution in comparison to their event horizons. This equipment functions by ensuring that anything or light which goes through the event horizon cannot escape from the black hole. Instead there will be a continual falling towards the center of the black hole.
A negative test charge experiences a force to the right as a result of an electric field. Which is the best conclusion to draw based on this description?
a.The electric field points to the left because the force on a negative charge is opposite to the direction of the field.
b.The electric field points to the right because the force on a negative charge is in the same direction as the field.
c.No conclusion can be drawn because the sign of the charge creating the field is unknown.
d.No conclusion can be drawn because the amount of charge on the test charge is unknown.
OPTION B IS THE ANSWER
Answer:
The real answer is A 2023 answer -_-
Explanation:
describe three factors that influence the location of rural settlement
Explanation:
presence of food, water ,etc
Explanation:
here is five all you have to do is just pick
Calcula el trabajo que realiza la fuerza de fregamiento sobre un cuerpo de 13kg que es desplaza una distáncia de 46 m si el coeficiente de fregamiento entre las superficies es de 0,45
Answer:
Los datos que tienes son:
m = 13 kg
d = 46 m
∪ = 0,45
g = 9,8 m/s²
Fr = ?
w = ?
Lo primero que haremos que calcular Fr
Fr = ∪mg
Fr = (0,45) (13 kg) (9,8 m/s²)
Fr = 57,33 N
Calculamos el trabajo realizado.
w = Fd
w = (57,33 N) (46 m)
w = 2637,18 Joules
Respuesta.
El trabajo realizado es 2637,18 Joules
Explanation:
Imagine that you have a 500 g iron pot (c = 0.440), a 500 g copper pot (c = 0.385), and a 500 g aluminum pot (c = 0.897). You fill each pot with 250 mL of water and heat the water to 100°C on a stove. Which pot will keep the water warm the longest? Explain your answer.
Answer:
Aluminium
Explanation:
If we calculate the heat transfer for all the substances, we have
Mc(∆T)
Where M is mass
C is heat capacity
∆T is temperature change.
For iron
Mc(∆T) = 500 ×0.440×100= 22000J
For copper
Mc(∆T) = 500 ×0.385×100= 19250J
For aluminium
Mc(∆T) = 500 ×0.897×100= 44850J
Aluminium has the highest heat capacity and would take longest for this heat capacity to be dissipated under similar condition.
Diagram shows the heating
curve for 0.5 kg heated by a
100 W immersion heater. What
is the specific heat capacity of
the liquid?
Answer: 35
Explanation:
Given the following :
M = 0.5 kg
Power of heater = 100W
From the graph ;
Time (t) = 7seconds
Change in temperature(Dt) = t2 - t1
Where t2 = 70°C, t1 = 30°C
Dt = (70 - 30)°C = 40°C
Recall Q = iVt
IV = power
Q = mcDt
c = specific heat capacity of liquid
mcDt = ivt
mcDt = power × t
0.5 × c × 40°C = 100 × 7
20°C × c = 700 J
c = 700 J/ 20°C
c = 35 J / kg°C
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left?
Answer: 98cm
Explanation:
Dimension of rectangle = 30cm by 25cm
Length(l) = 30cm
Width(w) = 25cm
Perimeter of a rectangle = 2(l + w)
Quadrant of circle cut away of each side of the rectangle :
Radius = 7 cm =
That is, the dimension of the triangle reduces by 2 * 7 = 14cm
New length = 30 - 14 = 16cm
New width = 25 - 14 = 11cm
The four corners =( 4 × 2πr ) / 4
2πr = 2 × 22/7 × 7 = 44cm
Perimeter = 2(16cm + 11cm)
= 2(27cm)
Perimeter = 54cm + 44 = 98cm
An electric kettle is rated at 2kW. How much energy is transferred in 30s?
Answer : 60,000 Joule
✑ Given :
Power = 2 KW = 2 × 1000 W = 2000 W ( since 1 KW = 1000 W )Time taken = 30 seconds✑ To find :
Energy☞ Solution :
✾ Energy = Power × Time ✾
= 2000 × 30
= 60,000 Joule
Hope I helped!
ツ Have a wonderful day / night !♡
~TheAnimeGirl ♪
Answer:
60,000 Joules
Explanation:
GIVEN:
Power = 2kW = 2000 W
Time = 30 sec
REQUIRED:
Energy = ?
SOLUTION:
Power = Energy / Time
Making Energy the subject of formula
Energy = Power × Time
E = 2000 W × 30 s
E = 60,000 Joules
Prove that the acceleration due to gravity is independent to
the mass of the falling body
Answer:
The force of gravity on an object increases with its mass; thus, the acceleration of gravity is constant.
Explanation:
one can prove this by plugging in values to Newton's 2nd law equation
F = ma, or by using the formula to calculate the force of gravity.
Force of Gravity = GMm/r^2
with G being the gravitational constant, M the mass of the earth, m the mass of the falling body, and r the distance from the earth's center.
Force of Gravity can be written as mg, with g being the acceleration due to gravity.
As we can see, m cancels on both sides, leaving
g = GM/r^2
Generally in physics problems, r will be treated as constant to achieve
g = 9.8m/s^2
