Answer:
The answer is B. I had a question like this last week in my physics practice exam. dont have alot of time so I cant explain right now
Explanation:
The torque on the bar will be - 13.26 Nm. And the sign of the direction of the figure will be inside the plane.
What is the torque?Torque is the rotating counterpart of force in physics and mechanics. The instant of force is another name for it. It illustrates how a force can cause a change in the body's rotational movement.
Let 'F' be the force and 'r' be the distance.
The torque is the vector product of the force and radius which is given as,
T = r x F
T = r · F · sin θ
A 25N power is applied to a bar that can turn around its end. The power is r = 0.75 m away from the finish of a point at θ = 45°.
Then the torque is calculated as,
T = - 0.75 x 25 x sin 45°
T = - 13.26 Nm
The sign of the direction of the figure will be inside the plane.
More about the torque link is given below.
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In a close system a gas with constant volume at 20C and pressure
1bar a heat is added to increase its temperature to 120C. Find the
new pressure
I
Answer:
6bar
Explanation:
According to pressure law;
P1/T1 = P2/T2
Given the following;
P1 = 1bar
T1 = 20oC
P2 = ?
T2 = 120oC
Substitute
1/20 = P2/120
20P2 = 120
P2 = 120/20
P2 = 6bar
Hence the new pressure will be 6bar
An unfortunate astronaut loses his grip during a spacewalk and finds himself floating away from the space station, carrying only a rope and a bag of tools. First he tries to throw a rope to his fellow astronaut, but the rope is too short. In a last ditch effort, the astronaut throws his bag of tools in the direction of his motion, away from the space station. The astronaut has a mass of ma=102 kgma=102 kg and the bag of tools has a mass of mb=10.0 kg.mb=10.0 kg. If the astronaut is moving away from the space station at vi=2.10 m/svi=2.10 m/s initially, what is the minimum final speed vb,fvb,f of the bag of tools with respect to the space station that will keep the astronaut from drifting away forever?
Answer:
The answer is "[tex]2.352 \ \frac{m}{s}[/tex]"
Explanation:
[tex]\to mass(m_1)=102 \ kg\\\\\to mass(m_2)=10 \ kg \\\\\to v=2.10\ \frac{m}{s}\\\\[/tex]
momentum before:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102+10)2.10\\\\=(102\times 2.10 +10 \times 2.10)\\\\=214.2+21\\\\=235.2[/tex]
momentum After:
[tex]\to p=(m_1+m_2)v[/tex]
[tex]=(102\times 0 +10 \times v)\\\\ =(0 +10v)\\\\=10v\\[/tex]
Calculating the conservation of momentum:
[tex]\to \text{momentum before = momentum After}[/tex]
[tex]\to 235.2=10v\\\\\to v= \frac{235.2}{10}\\\\ \to v=2.352 \ \frac{m}{s}[/tex]
An inflated spherical beach ball with a radius of 0.4000 m and average density of 10.65 kg/m3 is being held under water in a pool by Janelle. The density of the water in the pool is 1000.0 kg/m3. When Janelle releases the ball, it begins to rise to the surface. If the drag coefficient of the ball in the water is 0.520 and the constant upward force on the ball is 2630 N, what will be the terminal speed of the ball as it rises
Answer:
3.71 m/s
Explanation:
Given data :
radius of the spherical ball = 0.400 m
Density of the ball material = 10.65 Kg/m^3
Density of water = 1000 Kg/m^3
Drag coefficient C_d= 0.520
Constant upward force F_up= 2630
Concept: The moment before it starts to rise Upward force must be equal to downward drag force
⇒ F_up = F_D
F_D =C_d× 0.5 ×ρ_w×V^2×A
where V= terminal velocity and A= area πR^2
equating the forces we get
2630= 0.52× 0.5×1000×V^2×π(0.4)^2
V= 3.171 m/s
Therefore, the terminal velocity of the ball = 3.71 m/s
The ball while moving through the water in the pool, experiences a drag force. Then, the magnitude of terminal speed during the rise of the ball is 3.171 m/s.
What is terminal speed?When an object is made to fall through a liquid medium, then the maximum velocity achieved at that instant is known as terminal velocity or terminal speed.
Given data-
The radius of the spherical beach ball is, r = 0.4000 m.
The density of the ball is, [tex]\rho'=10.65 \;\rm kg/m^{3}[/tex].
The density of water in the pool is, [tex]\rho =1000.0 \;\rm kg/m^{3}[/tex].
The drag coefficient of the ball in water is, [tex]C_{d}=0.520[/tex].
The magnitude of the constant upward force is, F = 2630 N.
As per the concept of Buoyancy, "The moment before the ball starts to rise upward force must be equal to downward drag force".
F = Fd
Here,
F is the upward force.
Fd is the downward force.
[tex]F=\dfrac{1}{2} \times C_{d} \times \rho \times v^{2} \times A[/tex]
Here,
A is the area of the ball.
Solving as,
[tex]2630=\dfrac{1}{2} \times 0.520 \times 1000 \times v^{2} \times (\pi r^{2})\\\\2630=\dfrac{1}{2} \times 0.520 \times 1000 \times v^{2} \times (\pi \times 0.4000^{2})\\\\v=3.171 \;\rm m/s[/tex]
Thus, we can conclude that the magnitude of terminal speed during the rise of the ball is 3.171 m/s.
Learn more about the terminal speed here:
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What is the equation of the line that is perpendicular to y= -4x +5 and passes through the point (4,-3)?
to calculate the voltage, current, power and energy for an inductor and also to examine the behavior of an inductor under dc conditions. an inductor is a passive circuit element that opposes any change in electric current. a time-varying current induces a voltage in any conductor linked by a magnetic field. an inductor is a passive circuit element that stores energy in its magnetic field.
Answer:
To calculate the voltage, current, power and energy for an inductor and also to examine the behavior of an inductor under dc conditions.
an inductor is a passive circuit element that stores energy in its magnetic field.
Explanation:
An inductor has been described as a passive electronic component that stores electrical energy in a magnetic form. It uses a conductor that is wound into a coil to produce DC current, acting as a short circuit when direct current is applied. When electricity flows into the coil from the left to the right, a current is generated through a magnetic field in the clockwise direction. It is also called a choke because of its frequency regulation.
11. What is the mass of an object which has 2400 J of KE when traveling at 5 points
6 m/s?
63 kg
130 kg
270 kg
400 kg
Answer:
270 Kg e 130 kg
Explanation:
how many times is the number put together
A cyclist rides 3 km west and then turns around and rides 2 km east. What is her displacement?
Answer:
1km west
Explanation:
Because if the cyclist is going back 2km then its 3-2=1km
Three point charges are fixed in place in a right triangle, as shown in the figure.
What is the magnitude of the electric force on the +1.00-C charge due to the other two charges?
What angle does the force make with the -x-axis? A positive angle is counterclockwise from the -x-axis.
For the three-point charges fixed in a right triangle, we have:
1. The magnitude of the electric force on the +1.00 μC charge is 1.79 N.
2. The force does an angle of 21.68° with the x-axis.
1. Magnitude of the electric forceFirst, let's denote the charges as is shown in the picture below:
q₁: is the charge 1 = +0.800 μC = +0.800x10⁻⁶ Cq₂: is the charge 2 = +1.00 μC = +1.00x10⁻⁶ Cq₃: is the charge 3 = -0.600 μC = -0.600x10⁻⁶ C
The magnitude of the electric force on the charge 2 (+1.00 μC) is given by:
[tex]|F_{net}| = \sqrt{(\Sigma\vec{F}_{x})^{2} + (\Sigma\vec{F}_{y})^{2}}[/tex] (1)
Where:
[tex]\Sigma\vec{F}_{x}[/tex]: is the sum of the forces acting on the x-axis[tex]\Sigma\vec{F}_{y}[/tex]: is the sum of the forces acting on the y-axisWe can calculate the electrical forces with Coulomb's law:
[tex]\vec{F} = \frac{Kq_{1}q_{2}}{d^{2}}[/tex]
Where:
K is the Coulomb's constant = 9.00x10⁹ Nm²/C² q₁ and q₂ are the chargesd is the distance between the charges
Forces in the x-axis ([tex]\Sigma\vec{F}_{x}[/tex])
The forces in the x-component are given by:
[tex]\Sigma\vec{F}_{x} = \vec{F}_{21}_{x} + \vec{F}_{23}_{x}[/tex]
[tex]\Sigma\vec{F}_{x} = \vec{F}_{21}_{x}cos(\theta) + \vec{F}_{23}_{x}[/tex]
[tex]\Sigma\vec{F}_{x} = \frac{Kq_{1}q_{2}}{d_{12}^{2}}cos(\theta) + \frac{Kq_{2}q_{3}}{d_{23}^{2}}[/tex] (2)
Where:
θ: is the angle of the force F₂₁ with the x-axisd₁₂ = z = 9.60 cm = 0.0960 m d₂₃ = xWe can calculate the angle θ with the following trigonometric function:
[tex]sin(\theta) = \frac{y}{z}[/tex]
[tex]\theta = sin^{-1}(\frac{y}{z}) = sin^{-1}(\frac{8.10 cm}{9.60 cm}) = 57.5 ^\circ[/tex]
To find the distance x (d₂₃), we need to use Pythagoras:
[tex]x = \sqrt{z^{2} - y^{2}} = \sqrt{(0.0960 m)^{2} - (0.0810 m)^{2}} = 0.051 m[/tex]
After entering θ and x (d₂₃) into equation 2, we have:
[tex]\Sigma\vec{F}_{x} = \frac{9.00\cdot 10^{9} Nm^{2}C^{-2}(0.800 \cdot 10^{-6} C)(1.00 \cdot 10^{-6} C)}{(0.0960 m)^{2}}cos(57.5) + \frac{9.00 \cdot 10^{9}Nm^{2}C^{-2}(1.00 \cdot 10^{-6} C)(-0.600 \cdot 10^{-6} C)}{(0.051 m)^{2}}[/tex]
[tex]\Sigma\vec{F}_{x} = [0.78*cos(57.5) + (-2.08) N] = -1.66 N[/tex]
Hence, the x-component of the force is -1.66 N.
Forces in the y-axis ([tex]\Sigma\vec{F}_{y}[/tex])
The only force acting on the y-axis is the y-component of the force F₂₁, so:
[tex]\Sigma\vec{F}_{y} = -\vec{F}_{21}_{y} = -\vec{F}_{21}sin(\theta)[/tex]
The minus sign is because the vector is pointing in the negative y-direction (see the picture below).
[tex]\Sigma \vec{F}_{y} = -\frac{9.00\cdot 10^{9} Nm^{2}C^{-2}(0.800 \cdot 10^{-6} C)(1.00 \cdot 10^{-6} C)}{(0.0960 m)^{2}}sin(57.5) = -0.66 N[/tex]
Hence, the y-component of the force is -0.66 N.
Finally, the magnitude of the electric force on the charge +1.00 μC is (eq 1):
[tex]|F_{net}| = \sqrt{(-1.66 N)^{2} + (-0.66 N)^{2}} = 1.79 N[/tex]
Therefore, the magnitude of the electric force on the +1.00 μC charge is 1.79 N.
2. Direction of the force with the x-axisAccording to the picture below, the angle of the force with respect to the x-axis is given by:
[tex]tan(\beta) = \frac{\Sigma\vec{F}_{y}}{\Sigma\vec{F}_{x}}[/tex]
[tex]\beta = tan^{-1}(\frac{-0.66 N}{-1.66 N}) = 21.68 ^\circ[/tex]
Therefore, the force does an angle of 21.68° with the x-axis.
Find more about Coulomb's law here:
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I hope it helps you!
How many significant figures are there in the number
2.3409500?
a water tank holds water to the depth of the 80cm what is the pressure of the water of the tank
Answer:
7976 Pascals significant figure= 7.9*10^3
Explanation:
formula of hpg = height*density*gravitational energy
.80*10*997=7976 pascals
9. What is the magnitude of the velocity of a 25 kilogram mass that is moving with a
momentum of 100 kilogram-meters per second? [Neglect friction] Round your
answer to the nearest tenths place.
Answer:
4
Explanation:
The momentum of the object is 100 kgm/s, therefore the magnitude of the velocity of the object is 4 meters per second.
What is Momentum?Momentum of an object is the product of its mass and velocity. Momentum is the quantity of motion which is made up of the amount of matter which is being moved and the velocity at which the object moves. When we walk, run, etc., then we have momentum.
p = m × v
where, p is the momentum of the object,
m is the mass of the object,
v is the velocity of the object
p = 100 kgm/s
m = 25 kg
p = m × v
v = p/m
v = 100/ 25
v = 4 m/s
Therefore, the magnitude of velocity of the object is 4 meters per second.
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Atoms of which pair of elements will form ionic bonds in a compound?
A.
Ti and Ni
B.
Ti and O
C.
Cl and Br
D.
P and Cl
Answer:
Ti and O
Explanation:
It is what it is.
Answer:
B. Ti and O
Explanation:
A.P.E.X
How much time will it take for a bug to travel 2 meters across the floor if it is traveling at 0.5 m/s?
When one person shouts at a football game, the sound intensity level at the center of the field is 69.6 dB. When all the people shout together, the intensity level increases to 103 dB. Assuming that each person generates the same sound intensity at the center of the field, how many people are at the game
Answer:
there are 2188 people at the game
Explanation:
Given the data in the question;
we know that decibel is defined as; dB = 10log(l/l₀)
so if one produces an intensity l₁, it results in 69.6 dB
69.6 = 10log(l₁/l₀) ---- equ1
also. if x number of people produces this intensity, it result to 103 dB
103 = 10log(xl₁/l₀)
103 = 10( log(l₁/l₀) + log(x) )
103 = 10log(l₁/l₀) + 10log(x) ----- equ2
input equation 1 into to equation 2
103 = 69.6 + 10log(x)
10log(x) = 103 - 69.6
10log(x) = 33.4
divide both side by 10
log(x) = 3.34
x = [tex]10^{3.34}[/tex]
x = 2187.76 ≈ 2188
Therefore, there are 2188 people at the game
How much work is done against gravity when lifting a 2-kg sack of groceries a distance of 2.5 meters?
if the earth's atmosphere were 50times denser than it is, would sunlight still be while or would it be some other colour? explain
Which diagram is the best model for a solid?
Substance A
Substance B
О Substance C
Answer:
This link was diagram
Explanation:
https://doubtnut.app.link/FnsNC80Dccb
8. Which phase of matter is most common in the
universe?
a. Plasma b. Solid c. Liquid d. Gas
Need this now
Answer:
plasma
Explanation:
Cause in the universe many exist in either in gaseous or plasma form but plasma is greater
help help help help help help help help help
Which statement can be supported by using a position-time grap
O A negative slope results when an individual is moving away
O A horizontal line on the graph means the individual is moving
O A positive slope results when an individual is moving away fr
O The speed of an individual cannot be determined from this ty
Answer:
A negative slope results when an individual is moving away
Explanation:
This circuit has more than one loop. When one light goes out, the
others stay on.
A.open circuit
B.series circuit
C.parallel circuit
D.closed circuit
Answer:
Parallel circuit
Explanation:
A parallel circuit has a direct current allowing it to go back and forth making it have more pathways and loops. if one light bulb goes out the pathways will allow the electricity to still flow inti the other light bulbs.
What does the speedometer in a moving car measure?
Which of the following has the most kinetic energy?
A.
A car traveling at 80 kph.
B.
A tractor trailer traveling at 80 kph.
C.
A cheetah running at 80 kph.
D.
A notorcycle traveling at 80 kph.
Answer:
B
Explanation:
A tractor is the heaviest
The mass and weight of box is 25 Kg and 245 N respectively when on Earth. What is the value of mass and weight of the box when it is brought to the moon?
Answer:
25 (kg) and 40.5 (N).
Explanation:
1) the value of 'g' on the Earth is ~9.81 (N/kg), the value of 'g' on the Moon is ~1.62 (N/kg).
It means, the mass is not depended on the value of 'g', but the weight is depended on it.
2) the mass on the Moon is the same, 25 kg.
the weight is 25*1.62=40.5 N
.What is the relationship between the solar radius and the brightness of stars?
Answer:
Its radius is thought to be around 1400 times than of our sun, and its luminosity 270,000 greater than our sun. Also, if a star has the same radius as the sun but a higher surface temperature, the hotter star exceeds the sun in luminosity
Explanation:
As the solar radius of the star increases, the brightness of the star also increases.
What is meant by luminosity ?Luminosity is defined as the measure of brightness of a celestial object or the relative quantity of light.
Here,
Solar radius is a unit of distance, which is used to determine the size of the stars relative to the sun.
The size of the star and the luminous intensity are directly proportional. As the size of the star increases, the luminosity of the star also increases. Therefore, larger stars shine more brighter than the smaller ones.
The brightness of a star is directly proportional to the square of its solar radius. Therefore, the luminosity increases with increase in solar radius.
Hence,
As the solar radius of the star increases, the brightness of the star also increases.
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Suppose you have a cylinder filled with diatomic oxygen (O2) and it is running low. The cylinder is shown above, is made of steel, and has a fixed volume of 10 L.
You are asked to determine the number of O2 molecules that are left in the cylinder, so you take a measurement of the temperature to be 20℃. You then note that the pressure gauge reads 100 psi, which you checked at sea level in Bellingham, where the local pressure is one atm (14.7 psi). Calculate the number of O2 molecules left in the container.
Answer:
The number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
Explanation:
The number of oxygen molecules can be found using the Ideal Gas law:
[tex] PV = nRT [/tex]
Where:
P: is the pressure = 100 psi
V: is the volume = 10 L
n: is the number of moles =?
T: is the temperature = 20 °C = 293 K
R: is the gas constant = 0.082 L*atm/(K*mol)
Hence, the number of moles is:
[tex]n = \frac{PV}{RT} = \frac{100 psi*\frac{1 atm}{14.7 psi}*10 L}{0.082 L*atm/(K*mol)*293 K} = 2.83 moles[/tex]
Now, the number of molecules can be found with Avogadro's number:
[tex]n_{m} = \frac{6.022 \cdot 10^{23}\: molecules}{1\: mol}*2.83 moles = 1.70 \cdot 10^{24} \: molecules[/tex]
Therefore, the number of O₂ molecules that are left in the cylinder is 1.70x10²⁴.
I hope it helps you!
Which is the MOST likely reason scientists are trying to find ways to get energy from more renewable
resources?
А
Renewable resources cost less to produce than
energy from nonrenewable resources
B
Renewable resources are easier to replace than
nonrenewable resources
C
Renewable resources create more power than
nonrenewable resources
D
Renewable resources put more pollution in the air than nonrenewable resources
1 A boy kicks a ball with 40m/s at an angle of 30° with the ground. find the range the ball travels after 6 s.
240 m
208 m
120 m
139 m
Answer and I will give you brainiliest.
Answer:
208m
Explanation:
since the angle is with the ground which gives a horizontal component to the velocity = v(cos)30°
so the velocity equals 40(cos)30°= 34.64m/s
range(distance) = speed × time
34.64m/s × 6s = 207.8m = 208m
A ball is thrown horizontally from a height of 1 m and lands 5 m away.What is the initial velocity of the ball?
Answer:
11.06797181 ms^-1 only.......
So Fn = dº* p*g What would happen to the force (FN) if the size of each side of the cube were to double? d -> 2d
Answer:
Fn=m(a + g) :
Explanation:
nf=a(m +g)
an=f(g+m)