If the ratio of the mass of star A to the mass of star B is 6 then, mass of star A is 22.3 solar masses and the mass of star B is 3.7 solar masses.
What is star?
The brilliant plasma spheroid that constitutes an astronomical object known as a star is held together by gravity. The star that is closest to Earth is the Sun. Even while other stars are also visible at night with the unaided eye, they appear as stationary points of light due to their immense distances from Earth.
A:B = 6:1
We can write it as
A/B = 6
A=6B
and we also given in the question as:
A+B = 26
putting the above value of A
6B+B = 26
B = 26/7
B = 3.7 solar masses
Subtracting it from total mass:
A = 26-B = 26-3.7
A = 22.3 solar masses
Therefore, mass of star A is 22.3 solar masses and mass of star B is 3.7 solar masses.
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a single loop of wire with an area of 9.01×10−2 m2 is in a uniform magnetic field that has an initial value of 3.65 t , is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.197 t/s .
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
How can we calculate emf induced in a loop?
The emf induced in the loop can be calculated using Faraday's law:
emf = dФ/dt ⇒ emf = A * (dB/dt)
where A represents the area of the loop and dB/dt is the change in magnetic field with time.
Therefore, using the above relation, emf induced= 0.0901 * 0.197= 0.017V
Again, using Ohm's law the current in the loop can be determined since
Current = emf/Resistance.
Thus,
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
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A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3.0
seconds. What is the skateboarder's acceleration?
The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.
What is acceleration and how it calculated out to be -2.33 m/s^2?As we have studied earlier also acceleration is the measure of change in velocity per unit time.Here is given the initial velocity 7 m/s , it is coming to a stop at the top of a ramp . And the time is given 3 seconds.Using the equation a = final velocity - initial velocity / time , we get the acceleration to be -2.33 m/s^2.The skateboarder's acceleration when travelled at 7 meters per second rolls to a stop at the top of a ramp in 3 seconds is calculated out to be -2.33 m/s^2.To know more about acceleration visit:
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A young girl sleds across a snowy field. calculate the magnitude of the friction force she experiences if her mass if 35 kg, the sled's mass is 50kg, and the coefficient of of friction with the snow is 0.220
The magnitude of the friction force she experiences=> f= 183.26 N.
friction force isthe force which opposes the motion of an object.
Total mass= 50 + 35 kg=85 kg
g= 9.8 m/s²
coefficient of friction with the snow (ц)=0.220
the friction force acting here is kinetic friction force, which is product of coefficient of friction and force acting on it which is mass × acceleration due to gravity.
the magnitude of the friction force= kinetic friction acting here=ц m g
f = 0.220 × 85 kg × 9.8
f= 183.26 N
friction force acting here is = 183.26 N.
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Write the differences between normal forces and tension with suitable examples.
A Normal Force is a force applied in the direction perpendicular to the surface that the force is applied to. An example of this is putting pressure directly down on a table with your hand.
A Tension Force is a force applied in the opposite direction of the object the force is applied to. Tension Forces usually are applied by springs, ropes, and wires. An example of this is a wrecking ball hanging from a crane. There is a Tension Force on the wrecking ball holding it up in the air.
These forces are different from one another based on their directions that the forces are applied. Forces are vectors, so their magnitude is determined by the amount of force applied and their direction. Tension Force can be a Normal Force, but Normal Forces are not always Tension Forces.
Betty is sitting on of her surfboard out in the ocean. She is waiting for the perfect wave to come along so she can ride it in to shore. As she waits, she notices that the waves roll by in patterns, or sets.
As the top of each wave passes by Betty, it pushes her up. Which part of the wave does this?
Crest is the part of the wave which does this.
A sound wave is the sample of disturbance resulting from the movement of strength visiting through a medium, including air, water or every other liquid or stable remember as it propagates far from the supply of the sound.
The sound waves are generated by a sound source, such as the vibrating diaphragm of a stereo speaker. The sound source creates vibrations in the surrounding medium. because the supply continues to vibrate the medium, the vibrations propagate far from the supply at the rate of sound, hence forming the sound wave.
A sound wave is not a transverse wave with crests and troughs, however alternatively a longitudinal wave with compressions and rarefactions.
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the electric potential of a hydrogen atom is modeled by the equation where a0 is the bohr radius of the atom and q is the charge of the proton. the electric field due to the hydrogen atom is assumed to be spherically symmetric (a) calculate the θ (theta) component of the electric field (6 pts) (b) calculate the ɸ (phi) component of the electric field (6 pts) (c) calculate the r (radial) component of the electric field (6 pts) (d) what is the change in the magnitude of the electric field if a test point moves from the position (7 pts) to the position problem 7 (25 pts) v (r)
In light of this, V=V 0 loge (r/r 0 ) Field E= dr dV =V 0(r0r) eE= r mV2 alternatively, reV0r0=rmV2. V=(m eV 0 r 0 ) \ s1 / 2mV=(m e V 0 r 0 ) 1/2 = constant mvr= 2 nh, also known as Bohr's quantum condition or Hermitian matrix.
Show that the eigenfunctions for the Hermitian matrix in review exercise 3a can be normalized and that they are orthogonal.
Demonstrate how the pair of degenerate eigenvalues for the Hermitian matrix in review exercise 3b can be made to have orthonormal eigenfunctions.
Under the given Hermitian matrix, "border conditions," solve the following second order linear differential equation: d2x/ dt2 + k2x(t) = 0 where x(t=0) = L and dx(t=0)/ dt = 0.
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State the similarities between thermonic emissions and liquid vapourization
What thermonic emissions and liquid vaporization have in common is that the particles involved both processes evaporates by the application of heat.
Understanding thermal or heat of vaporization of liquidThe amount of heat energy which is needed by just 1 gram of a liquid substance to boil without being affected by change in temperature.
However, when the thermal liquid of vaporization decreases as temperature increases. It is also affected by intermolecular forces.
Thermonic emissions refers to those electrons which are produced by the application of heat energy.
In conclusion, the major similarity in the task above is that they evaporated by heat.
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a torpedo fired from a submerged submarine is propelled through the water eit ha speed of 20.00m/s and explodes upon impact with a target 2000.0m away. if the sound of the impact in heard 101.4s after the torpedo was fired, what is the speed of sound in water
The speed of sound in water made by a torpedo with a speed of 20.00m/s and explodes upon impact with a target 2000.0m away is 19.72 m / s
v = d / t
v = Velocity
d = Distance
t = Time
d = 2000 m
t = 101.4 s
v = 2000 / 101.4
v = 19.72 m / s
Velocity of an object is the object's rate of change of position with respect to time. It is mostly denoted as m / s.
Therefore, the speed of sound in water is 19.72 m / s
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bryan allen pedaled a human-powered aircraft across the english channel from the cliffs of dover to cap gris-nez on june 12, 1979. (a) he flew for 169 min at an average velocity of 3.53 m/s in a direction 45° south of east. what was his total displacement? (enter the magnitude in km and the direction in degrees south of east.)
The total displacement is 3.58 kilometers to the south of the east. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."
A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is. These factors provide the overall displacement: where,
The average speed is v.
Time has come.
The typical speed is:
v = 3.53 m/s
While the time must be changed from minutes to seconds:
t=169*60
=10140s.
Consequently, the displacement's size is
=3.53*10140
=35794 m
=3.58 km
Furthermore, since the direction and speed are identical, the direction is 45° south of east.
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A movie stunt driver on motorcycle speeds horizontally off a 13 m high cliff at a speed of 20.8 m/s. How far (dx) from the base of the cliff will he land?
Use g= 9.8 m/s2 for the acceleration due to gravity.
Round your answer to two decimal places.
The horizontal displacement of the stunt diver from the base of the cliff is 33.9 m
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the stunt diver to travel down the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the stunt diver = 0g is acceleration due to gravityt is the time of motion of the stunt diverh is height of fallh = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 13 / 9.8)
t = 1.63 seconds
The horizontal distance travelled by the stunt diver is calculated as follows;
X = Vₓt
where;
X is the horizontal distance of the stunt diverVₓ is horizontal speed of the stunt divert is the time of motionX = 20 .8 m/s x 1.63 s
X = 33.9 m
Thus, the displacement of the stunt diver from the base of the cliff is 33.9 m.
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what instrument is used to measure electromotive force
Answer:
Voltmeter
Explanation:
Voltmeter is used to measure both terminal potential difference as well as electromotive force (e.m.f.) depending upon the connection state of the battery or cell.
Which of the following statements about conservation of mass is true?
The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.
The correct answer choice is option c.
Understanding why mass mass is conserved in both physical and chemical changes.It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.
The mass of matter is the same through out in both physical and chemical changes.
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Natasha wrote a table comparing pure substances and mixtures.
Which correction should be made to Natasha’s table?
Answer: C
Explanation:pure substance is a single kind of matter that cannot be separated into other kinds of matter by any physical means
The correction should be made to Natasha's table is: Mixtures are substances that are not chemically combined.
What is mixture?When two or more separate chemical substances are combined without being chemically linked, the result is referred to as a mixture in chemistry. A mixture is the physically combined state of two or more distinct substances that can take the forms of solutions, suspensions, or colloids while retaining their identities.
Chemical components, such as elements and compounds, can be mechanically blended or mixed to create mixtures without causing any chemical bonding or other chemical change, preserving the unique chemical properties and makeup of each ingredient.
Physical qualities of a mixture, such as its melting point, may be different from those of its constituents even while there are no chemical changes to its constituents.
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PLEASE THIS IS URGENT!!! I'M STUCK ON THIS QUESTION AND THIS IS MY LAST RESORT!!!!! How do mass and distance affect the gravitational pull of an object?
Answer: The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
Explanation: Hope this helps. : )
car a is moving at va 60 km/h to the right with respect to the ground car b is moving at vp 80 km/h to the right with respect to the ground. what is the velocity of car a with respect to car b (the velocity of car a measured by car b)?
Car a is moving at va 60 km/h to the right with respect to the ground Car b is moving at vp 80 km/h to the right with respect to the ground. The Relative velocity of a car a with respect to car b is 20km/h .
rPS=→rPS′+→rS′S.r→PS=r→PS′+r→S′S.
The relative velocities are the time derivatives of the position vectors. Therefore,
→vPS=→vPS′+→vS′S.v→PS=v→PS′+v→S′S.
The velocity of a particle relative to S is equal to its velocity relative toS′S′plus the velocity ofS′S′relative to S.
We can extend (Figure) to any number of reference frames.
For particle P with velocities
→vPA,→vPB,and→vPCv→PA,v→PB,andv→PC in frames A, B, and C,
→vPC=→vPA+→vAB+→vBC.v→PC=v→PA+v→AB+v→BC.
We can also see how the accelerations are related as observed in two reference frames by differentiating
:→aPS=→aPS′+→aS′S.a→PS=a→PS′+a→S′S.We see that if the velocity of S′S′ relative to S is a constant,
then →aS′S=0a→S′S=0 and→aPS=→aPS′.a→PS=a→PS′.
This says the acceleration of a particle is the same as measured by two observers moving at a constant velocity relative to each other.
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.
Determine the acceleration of an object that can go from 0-60 m/s over the course of
1600 m.
Answer:
1.125 m/s^2
Explanation:
Given:
u = 0v = 60 m/sS = 1600 mTo Find:
Acceleration (a)Formula used:
v^2 = u^2 + 2aSwhere,
v = final velocity
u = initial velocity
a = acceleration
S = Displacement
Let the acceleration be a.
Using the above formula, we have
60^2 = 0^2 + 2(a)(1600)
3600 = 3200a
a = 36/32
a = 9/8
a = 1.125 m/s^2
So, the acceleration is 1.125 m/s^2.
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Why will a balloon filled with helium float in air?
A. Helium is a dense as air
B. Helium is denser than air
C. Helium is diatomic molecule
D. Helium is less dense than air
Answer:
D is the correct answer
Explanation:
Helium-filled balloons rise in the air because the density of helium is less than the density of air.
Jacob has 10 cars for his train. when they are all used, the train cannot make it up the hill. explain what jacob could do to answer this question: how many cars can the train pull up the hill?
To answer the question effectively, Jacob should use trail and error as a method. When doing so, he should be reducing the number of cars loaded in the train one after the other until he successfully make the train pull up the remaining cars.
For Jacob to answer this question and to find the number of cars that the train can pull up the hill, he should use a method know as trial and error. With the method, Jacob would want to decrease the number of cars loaded in the train one after the other, and should be pulling the train up after every trail.
The number of cars loaded in the train can be decreased by one for each case Jacob makes an attempt up to the time he successfully make the train pull up the hill.
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A block of wood has a mass of 120 g
and a volume of 200 cm³. What is the density of
the wood?
Answer: 0.6 g /cm^3
Explanation:
Just plug in the value in the equation d=m/v and you will get the answer!
What is the magnitude of the relative angle φ
with which the ski jumper hits the slope?
The magnitude of the relative angle φ with which the ski jumper hits the slope
φ=14.08
This is further explained below.
What is the magnitude of the relative angle?Generally, the equation for time is mathematically given as
[tex]t = \frac{(2V tan \theta)}{g} \\\\t = \frac{2 * 24 * tan 59}{9.8}[/tex]
t = 8.152 s
The formula will now provide the slope of the flight path at the time of impact;
tan = V y / V x
V_y = 9.8 * (8.152)
V_y= 78.89 m/s
In conclusion,
[tex]tan \alpha = \frac{78.89}{24}[/tex]
[tex]tan \alpha = 3.2871[/tex]
[tex]\alpha= 73.08°[/tex]
Hence
φ=[tex]\alpha - \theta[/tex]
=73.08-59
φ=14.08
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The complete question is;
A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².
What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦
A catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s What was their initial angle of launch?
With the use of the formula below, their initial angle of launch was 26.2°
What is a Projectile ?A projectile is any object that is projected into the air which take a trajectory path.
Given that a catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s. Their initial angle of launch can be calculated by using the formula
h = usinФt - 1/2gt²
Where
h = 1.65 mu = 15 m/st = 0.33sФ = ?Substitute all the parameters into the formula
1.65 = 15sinФ × 0.33 - 1/2 × 9.8 × 0.33²
1.65 = 4.95sinФ - 0.5336
Collect the like term
4.95SinФ = 1.65 + 0.5336
4.95SinФ = 2.184
SinФ = 2.184/4.95
SinФ = 0.4411
Ф = [tex]Sin^{-1}[/tex](0.4411)
Ф = 26.2°
Therefore, their initial angle of launch was 26.2°
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A string tied to a rock is being twirled around Fred's head at . If the rock has a mass of 500 g and the string is 50 cm long, what is the tension in the string?
247 N
15.7 N
2467 N
6.25 N
A. The tension in the string being twirled around Fred's head is 247 N.
What is the centripetal acceleration of the rock?The centripetal acceleration of the rock twirled around Fred's head is calculated as follows.
a = ω²r
where;
a is the centripetal accelerationω is the angular velocity of the rockr is the radius of the circular pathThe angular velocity of the rock = 5 rev/s x 2π rad/rev = 10π rad/s = 31.42 rad/s
Substitute the value of the angular velocity and radius of the circular path and calculate the centripetal acceleration.
a = (31.42)² x (0.5)
a = 493.6 m/s²
The tension in the string = ma
= (0.5 kg) x (493.6 m/s²)
= 246.8 N ≈ 247 N
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The complete question is below:
A string tied to a rock is being twirled around Fred's head at 5 cycles/s . If the rock has a mass of 500 g and the string is 50 cm long, what is the tension in the string?
If the output work is 500 J and the input work is 380 J, what is the machine efficiency?
Answer:
Therefore machine efficiency is 131.6%.
Explanation:
Data
work output = 500J
work input = 380J
M.E = ?
M.E = work output/work input × 100%
M.E = 500J/380J × 100%
M.E = 131.6%
Therefore machine efficiency is 131.6%.
how close were your experimental results to the theoretical values? what experimental factors contributed to the error between experimental and theoretical measurements of specific heat?
Actual specific heat capacity would be less than the computed experimental specific heat capacity.
The experiment's measurement of water's specific heat capacity, c, is higher than the accepted value for c. This is because some heat was lost to the surroundings, causing the experimental temperature rise to be q smaller than the projected temperature rise.
The quantity of heat energy needed to raise the temperature of 1 kg of a material by 1 K is measured as specific heat capacity. It is crucial because it will show how much energy will be needed to raise or lower an object's temperature by a certain amount for a certain mass.
In this experiment, the primary source of error is heat loss by conduction. The conservation of energy serves as the theoretical foundation for this particular heat test. Energy can be in the form of heat, and in this instance, heat will be transported from the sample to the water.
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which organism in this food web is an ominovere
Answer:
Omnivores generally occupy the third trophic level alongside meat-eating carnivores. Omnivores are a diverse group of animals.
Explanation:
Examples of omnivores include bears, birds, dogs, raccoons, foxes, certain insects, and even humans.
An investor purchased 50 shares of
stock in a company for $20 per
share. One year later, the investor
sold all the shares for $925. What is
the investor's rate of return?
A. 7.5%
C. -7.5%
B. -8.1%
D. 8.1%
Answer:
B
Explanation:
Kato is out camping with his family, and they decide to start a campfire because of the cold air. After everyone roasts marshmallows to a crispy golden brown, they eat them, and then they decide to go to sleep. Before going to sleep, Kato pours water over the campfire to put it out. He notices that steam drifts from the burned wood and ashes even though the fire is gone and the coals have stopped glowing.
Which statements best describe how energy is conserved in this scenario?
Select all that apply.
The statement that best describes how energy is conserved in this scenario is that the cold air absorbed energy from the water vapor, so it condensed and formed steam and the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated. That is option B and D respectively.
What is conservation of energy?The law of conservation of energy states that energy is neither created nor destroyed but can be changed from one form to another.
At the camping, energy from a lighter is being transferred to the wood and is being sustained by the chemical energy in the wood.
Upon the use of water to extinguish the fire, the liquid water absorbed the energy of the fire, so it changed into a gas and evaporated.
Also around the fire is the cold air which can absorb heat to form steam after condensation.
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Which of the following values are vectors:
I. Instantaneous velocity
II. Distance traveled
III. Average acceleration
Instantaneous velocity and Average acceleration are vectors. Hence, the correct options are (I) and (II).
The instantaneous velocity is a quantity that shows us how quickly an object is moving at any point along its path. The time between the two events approaches zero when the average velocity between two points on the path reaches a certain limit. Instantaneous velocity is a vector with a dimension of length per time, similar to average velocity.
The rate at which the velocity changes is known as the average acceleration vector. It moves in the direction of the velocity change, v. The rate at which a velocity is changing over time is called acceleration. Acceleration is also a vector quantity and must take into account changes in both the magnitude and direction of a velocity. Because velocity has both magnitude and direction, it is referred to as a vector quantity.
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5. Modern houses have systems to control internal air temperatures in times of very cold or hot weather. In these homes, hot or cool air is pumped into the interior of the house to help keep the temperature comfortable. Based on what you know about how cool and warm air circulate in the atmosphere, what might an engineer need to consider when designing a heating/cooling system for a home in a cooler climate?
How might the design differ for a house found in a warmer climate?
The engineer should take into account the convective currents that cause higher temperature gases to rise and lower temperature gases to sink.
What is convection?Convection is a term that refers to the way in which heat is transmitted in a liquid or gaseous state as a consequence of the actual movement of particles at different temperatures. If this movement is due to the effect of gravitation, due to differences in density, it is called natural convection.
What might an engineer have to consider when designing a heating/cooling system for a house in a colder climate?The engineer must take into account that, due to their density, the hottest gases tend to rise, and the coldest gases descend. Therefore, he would have to find a way for the hot gases to leave the floor and circulate around the house so that it stays at a warm temperature.
How might the design of a house that is in a warmer climate differ?In the case of a house that is in a warmer climate the engineer should take into account convection because it can find a way in which the hot gases rise and are released through the roof of the house and keep the gases cold inside the house.
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HELP THIS IS DUE TODAY who ever answers first (correctly and gives explanation will get brainly)
How much power does a cordless phone use if it draws 0.50 A of current at 6.0 V?
i need it in watts so please write it in forms of Watt
Answer:
3.0 W
I actually had this question before BUT I have no clue how to explain it. I haven't done this in so long. I apologize but that is the correct answer.
Answer:3.0 W
Explanation:
P=VI
P= (6.0 V) (5.0 A)
P= 3.0 W