AThe mass of star is 2.18*10³⁰ kg.
The mass of the star can be calculated using the formula: M = (4π²r³)/(G T²), where M is the mass of the star, r is the radius of the orbit, T is the period of the orbit, and G is the universal gravitational constant.
Plugging in the given values, we get M = (4π²(4.25*10¹¹)³)/(6.67259*10⁻¹¹(765)²) = 2.18*10³⁰ kg.
The given information allows us to use Kepler's Third Law, which states that the square of the period of a planet's orbit is proportional to the cube of its average distance from the star. Using this law, we can relate the period and radius of the orbit to the mass of the star.
By rearranging the formula and plugging in the given values, we can solve for the mass of the star. The universal gravitational constant is used to convert the units of the given values to the units needed for the formula. The resulting mass of the star is very large, as expected for a star with a planet in orbit around it.
To know more about Kepler's Third Law click on below link:
https://brainly.com/question/1608361#
#SPJ11
Consider the information given below about the lifetime of three main sequence stars A, B, and C.
• Star A will be a main sequence star for 4.5 Billion years. . • Star B has the same luminosity as the Sun.
• Star C has a spectral type of M5. Which of the following is a true statement about these stars? • Star A has the greatest mass. • Star B has the greatest mass. • Star C has the greatest mass. • Stars A, B and C all have approximately the same mass. • There is not enough information to determine the answer. QUESTION 11 Elements heavier than carbon and oxygen can be produced inside • high-mass red giant stars. • low mass red giant stars. • brown dwarts. • white dwarts. QUESTION 12 For a white dwarf to become a nova it is necessary for it to
• have a binary companion • become a black hole. • have begun life as a high-mass star. • rejoin the main sequence.
Star A has the greatest mass; elements heavier than carbon and oxygen are produced in high-mass red giants; white dwarfs need binary companions to become novae.
Among the three main sequence stars, Star A has the greatest mass, as its shorter lifetime on the main sequence suggests higher mass and faster fuel consumption.
For elements heavier than carbon and oxygen, they are typically produced inside high-mass red giant stars, as they have the necessary temperatures and pressures for nucleosynthesis.
Lastly, for a white dwarf to become a nova, it requires a binary companion.
Material from the companion accumulates on the white dwarf's surface, causing a thermonuclear explosion, resulting in a sudden brightening known as a nova.
For more such questions on oxygen, click on:
https://brainly.com/question/13598227
#SPJ11
What is the best definition of a decision tree?
O It only consists of rhetorical questions
O Questions can be left unanswered
O Only one question per tree is allowed
O Questions occur until only one true or yes answer
Answer:
Questions occur until only one true or yes answer.
Explanation:
A decision tree is a visual representation of a decision-making process that involves a series of questions or decisions that lead to a final outcome or decision. Each question or decision in the tree has two or more possible answers, and each answer leads to a different branch or path in the tree. The questions are designed to be answered with either a true or yes answer, which eventually leads to the final decision or outcome. Therefore, the correct option is 4.
A rod is being used as a lever. The fulcrum is 1.2 m from the loadand 2.4 m from the applied force. If the load has a mass of 20.0kg, what force must be applied to lift the load?
A rod is being used as a lever. The fulcrum is 1.2 m from the load and 2.4 m from the applied force. If the load has a mass of 20.0kg, the force applied to lift the load is 98.1 N.
In this scenario, a rod is being used as a lever, with the fulcrum being 1.2 m from the load and 2.4 m from the applied force. To find the required force to lift a 20.0 kg load, we can use the principle of moments (torque).
The formula to find the required force is:
(force × distance from the fulcrum to force) = (load × distance from the fulcrum to load)
First, let's convert the mass of the load (20.0 kg) into weight, which is a force, by multiplying it by the acceleration due to gravity (9.81 m/s²):
Load = mass × gravity
Load = 20.0 kg × 9.81 m/s²
Load = 196.2 N
Next, we'll use the principle of moments to find the required force:
(force × 2.4 m) = (196.2 N × 1.2 m)
Now, we can solve for the force:
force = (196.2 N × 1.2 m) / 2.4 m
force = 98.1 N
To lift the 20.0 kg load, a force of 98.1 N must be applied to the lever.
Learn more about fulcrum here:
https://brainly.com/question/16422662?referrer=searchResults
#SPJ11
A 60 W bulb and a 100 W bulb (rated for 110 V AC circuits) are connected in series as shown. Which bulb is brighter? Explain. A) The 60 W bulb.B) The 100W bulb. C) They have the same brightness. D) There is not enough information to tell. 2.11 QUESTION: The Same 60 W and 100W bulbs are now connected in parallel with the same battery. Now which bulb is brighter? Explain. A) The 60 W bulb. B) The 100 W bulb. C) They have the same brightness. D) There is not enough information to tell.
When the 60 W bulb and the 100 W bulb are connected in series, the total power consumed by the circuit is 160 W.
However, since they are in series, they share the voltage drop across the circuit. This means that the 60 W bulb will have a lower voltage drop than the 100 W bulb, and therefore it will be less bright than the 100 W bulb. So the 100 W bulb will be brighter in this case.
When the 60 W bulb and the 100 W bulb are connected in parallel, they each receive the full voltage of the battery. Since the 100 W bulb has a higher power rating, it will consume more power than the 60 W bulb, and therefore it will be brighter. So the 100 W bulb will be brighter in this case as well.
To learn more about inductor here
https://brainly.com/question/4425414
#SPJ4
calculate the magnetic force on a hypothetical particle of charge 1.0 × 10−19c moving with a velocity of 6.0 × 104m/s i in a magnetic field b = (0.4i 1.2k) t.
In the negative y-direction, the magnetic force acting on the particle is -7.2 10⁻¹⁵ N.
How would you figure out a particle's force in a magnetic field?The Lorentz force is experienced by a charged particle moving at speed v through a magnetic field B and an electric field E. The Lorentz force is the name given to the whole electromagnetic force F acting on the charged particle. F is the perpendicular to the plane that contains both v and B.
F = qv x B
In this case, we have:
q = 1.0 × 10⁻¹⁹ C
v = 6.0 × 10⁴ m/s i
We can plug these values into the formula and calculate the cross product:
F = qv x B = (1.0 × 10⁻¹⁹ C)(6.0 × 10⁴ m/s i) x (0.4 i + 1.2 k) T
F = (6.0 × 10⁻¹⁵ i) x (0.4 i + 1.2 k) T
F = (2.4 × 10⁻¹⁵ i² + 7.2 × 10⁻¹⁵ i k) N
Note that i x i = 0 and i x k = -k x i = -j. Therefore, the magnetic force can be simplified to:
F = -7.2 × 10⁻¹⁵ j N
To know more about magnetic force visit:-
https://brainly.com/question/3160109
#SPJ1
A rotor completes 50.0 revolutions in 3.25 s. Find its angular speed (a) in rev/s. (b) in rpm. (C) in rad/s.
The angular speeds are approximately 15.38 rev/s, 922.31 rpm, and 96.67 rad/s. To find the angular speed of the rotor, we first need to determine the number of revolutions per second.
(a) To do this, we divide the total number of revolutions (50.0) by the time it takes to complete them (3.25 s):
Angular speed in rev/s = 50.0 / 3.25 = 15.38 rev/s
(b) To convert from revolutions per second to revolutions per minute (rpm), we multiply by 60:
Angular speed in rpm = 15.38 x 60 = 923 rpm
(c) To find the angular speed in radians per second (rad/s), we need to convert the revolutions to radians (since radians are a unit of angle measure). One revolution is equal to 2π radians, so:
Angular speed in rad/s = (50.0 x 2π) / 3.25 = 30.63 rad/s
Therefore, the angular speed of the rotor is 15.38 rev/s, 923 rpm, or 30.63 rad/s.
Learn more about angular here:
https://brainly.com/question/30885221
#SPJ11
I need help with this question!
Yes I agree.
The socio historical concept implies that race is created and maintained through systems of power and inequality.
What is race?According to Michael Omi and Howard Winant, in Racial Formations, race is a socio-historical concept that is constructed through the intersection of cultural, political, and economic forces.
In this book, they argue that race is not an immutable, biologically determined characteristic of individuals or groups but rather a social construct that is created and maintained through systems of power and inequality. The authors illustrate how race is constructed through examples from different historical periods and social contexts.
Learn more about race here: https://brainly.com/question/28138343
#SPJ1
Two 20 v batteries are in series, connected positive pole to negative pole. They each have internal resistance of 5 Ω. What power is dissipated in one of the batteries? 1). 80 watts. 2). 200 watts 3). 150 watts 4). 50 watts
The power dissipated in one of the batteries is 80 watts (option 1).
To find the power dissipated in one of the 20 V batteries with an internal resistance of 5 Ω connected in series, we will follow these steps:
1. Calculate the total voltage (Vt) provided by the two batteries connected in series:
Vt = V1 + V2 = 20 V + 20 V = 40 V
2. Calculate the total internal resistance (Rt) of the two batteries connected in series:
Rt = R1 + R2 = 5 Ω + 5 Ω = 10 Ω
3. Calculate the current (I) flowing through the circuit using Ohm's Law:
I = Vt / Rt = 40 V / 10 Ω = 4 A
4. Calculate the power (P) dissipated in one battery (we can use any battery since they have the same internal resistance) using the formula P = I² * R: P = (4 A)² * 5 Ω = 16 A² * 5 Ω = 80 W
So, the power dissipated in one of the batteries is 80 watts (option 1).
To know more about Ohm's Law, refer here:
https://brainly.com/question/1247379#
#SPJ11
an enclosed transformer has four wire leads coming from it. how could you determine the ratio of turns on the two coils without taking the transformer apart?
You can then use the ratio of the resistance values to determine the turns ratio of the transformer. Keep in mind that this method may not be completely accurate, as there may be other factors affecting the resistance measurements.
To determine the ratio of turns on the two coils of an enclosed transformer without taking it apart, you can use a multimeter to measure the resistance of each wire lead. The two leads with the highest resistance will be connected to the primary coil, while the other two leads with the lower resistance will be connected to the secondary coil.
To determine the turns ratio of an enclosed transformer with four wire leads without taking it apart, follow these steps:
1. Identify the primary and secondary leads: Label the four wire leads as A, B, C, and D. Typically, A and B will be the primary leads, while C and D will be the secondary leads. Check the transformer's documentation to confirm this if available.
2. Measure the primary and secondary voltages: Connect the primary leads (A and B) to an AC voltage source, such as a variac or function generator. Using a voltmeter, measure the AC voltage across the primary leads (V_primary) and across the secondary leads (V_secondary).
3. Calculate the turns ratio: Divide the measured secondary voltage (V_secondary) by the primary voltage (V_primary) to determine the turns ratio of the transformer.
Turns Ratio = V_secondary / V_primary
This method allows you to determine the turns ratio of an enclosed transformer without taking it apart by measuring the voltages across the primary and secondary coils.
Learn more about turns ratio here: brainly.com/question/29511335
#SPJ11
a snow ball from a tree hits your head with speed v after falling a height h. how much higher would it have to fall to hit your head with speed 2v?
a) √h
b) 2h
c) √2h
d) h2
e) 4h
f) 20h
g) 40h
A snow ball from a tree has to fall at 2h height to hit your head with speed 2v.
The speed of the snowball, when it hits your head, is given by the formula:
v = √(2gh)
where g is the acceleration due to gravity (approximately 9.8 m/s^2) and h is the height from which the snowball falls.
To find the height from which the snowball would need to fall to hit your head with speed 2v, we can use the same formula:
2v = √(2gH)
where H is the new height from which the snowball falls.
Squaring both sides of this equation gives:
4v^2 = 4gh
2gh = v^2
Substituting this expression for 2gh into the equation for H, we get:
2v^2 = 2gH
H = v^2/g
H = (2gh)/g
H = 2h
Therefore, the height is b) 2h.
To know more about height click here:
https://brainly.com/question/10726356
#SPJ11
A 1.40 m long bar on a horizontal surface is free to rotate about an axis perpendicular to the page and passing through its center. A force Fof magnitude 35.0 N is applied to the left end of the bar at different angles as shown in the overhead views below. Determine the torque on the bar at the instant shown for each of the angles.
The torque on the bar depends on both the magnitude of the force and the distance from the axis of rotation to the point where the force is applied. When the force is perpendicular to the bar, the torque is zero, and when the force is at an angle, the torque is given by T = Fd.
To determine the torque on the bar at the instant shown for each angle, we need to first understand what torque is. Torque is the measure of the ability of a force to cause an object to rotate around an axis or pivot point.
It is given by the equation T = Fd, where F is the force applied and d is the perpendicular distance from the axis of rotation to the point where the force is applied.
For the first angle shown, the force F is perpendicular to the bar, and so the torque is zero since the perpendicular distance is zero. For the second angle, the force F is at an angle of 30 degrees to the horizontal, and so the perpendicular distance is given by d = 1.40*sin(30) = 0.70 m.
Thus, the torque is T = 35.0*0.70 = 24.5 Nm. For the third angle, the force F is at an angle of 60 degrees to the horizontal, and so the perpendicular distance is given by d = 1.40*sin(60) = 1.21 m. Thus, the torque is T = 35.0*1.21 = 42.35 Nm.
To know more about torque refer here:
https://brainly.com/question/25708791#
#SPJ11
To lift an object weighing 21000 N on a 3 m^2 platform, how much force is needed on a piston with an area of .06 m^2?
We can use the formula:
force = pressure × area
We can rearrange the formula to solve for force:
force = pressure × area
The pressure on the piston is equal to the force divided by the area:
pressure = force ÷ area
We can substitute the given values:
pressure = 21000 N ÷ 3 m^2 = 7000 Pa
Now we can solve for the force needed on the piston:
force = pressure × area = 7000 Pa × 0.06 m^2 = 420 N
Therefore, a force of 420 N is needed on the piston to lift the object weighing 21000 N on a 3 m^2 platform.
he focal length of a glass lens is 10 cm. When the lens is submerged in water, what is its new focal length? The refractive index of water is greater than that of air but less than that of glass? A) 10 cm B) less than 10 cm C) more than 10 cm D) Not enough information to answer
The new focal length of the glass lens submerged in water is more than 10 cm. The correct option is C. To determine the new focal length of a glass lens submerged in water, we need to consider the lens maker's formula and the refractive indices of the materials involved.
The lens maker's formula is:
1/f = (n_lens/n_medium - 1) * (1/R1 - 1/R2)
Where:
- f is the focal length
- n_lens is the refractive index of the lens (glass)
- n_medium is the refractive index of the surrounding medium (air or water)
- R1 and R2 are the radii of curvature of the lens surfaces
We are given that the focal length of the lens in air is 10 cm. The refractive index of water (n_water) is greater than air (n_air) but less than glass (n_glass). When the lens is submerged in water, n_medium changes from n_air to n_water.
Since n_water > n_air, the value of (n_lens/n_medium - 1) will be smaller when the lens is in water compared to when it's in air. This will result in a larger focal length (f) for the lens when submerged in water.
To know more about focal length refer here:
https://brainly.com/question/16188698#
#SPJ11
The wood beam has an allowable shear stress of 7 MPa. Determine the maximum shear force V that can be applied to the cross section.It is a 4 rectangles that make one rectangle with the left and right sides h=200mm b=50mm and the top and bottom are in line with the sides and inside each side and are h=50mm and b=100mm and V is in the center of it
To determine the maximum shear force V that can be applied to the cross-section, we need to calculate the cross-sectional area and the maximum allowable shear stress.The maximum shear force that can be applied to the cross-section is 280 kN.
The cross-sectional area of the beam can be found by adding the areas of the four rectangles:
A = 2h * b + 2b * (h/2) = 2hb + bh = 4hb
where h = 200 mm and b = 50 mm.
Substituting these values, we get:
A = 4(200 mm)(50 mm) = 40000 mm[tex]^2[/tex]
The maximum allowable shear stress is given as 7 MPa.
To determine the maximum shear force, we use the formula:
V = [tex]τ_max * A[/tex]
where τ_max is the maximum allowable shear stress and A is the cross-sectional area.
Substituting the values, we get:
V = 7 MPa * 40000 mm[tex]^2[/tex]
Converting MPa to N/mm[tex]^2[/tex], we get:
V = 7 N/mm[tex]^2[/tex] * 40000 mm[tex]^2[/tex] = 280000 N
Therefore, the maximum shear force that can be applied to the cross-section is 280 kN.
To know more about accelerating here
https://brainly.com/question/460763
#SPJ4
Which of the following statements about radioactive decay is true?A. It is random in natureB. It increases when the temperature increasesC. It does not depend on the chemical combinationD. It depend on the physical state
Answer: A. It is random in nature
Explanation:
Answer:
The answer to this question is probably
[tex]A. \: It \: is \: random \: in \: nature[/tex]
1. What is the field strength of an Alpha Particle (2 protons) at a point 1 nanometer away?
2. What is the electric field strength at a point 7m away from a charge of 15?
3. What charge would have a field strength of 1.441x10^-5 N/C at a distance of 1×10^-2m?
4. What force is felt by a le proton 2 nanometers away from a -1e electron?
5. What charge would feel a force of 3×10^-23 N when it is .05m away from a -1e electron?
6. What is the voltage source in Volts on a circuit with a resistance of 500 Ohms that has a current of .1 A?
7. What is the current through a circuit with a 9V battery and a resistance of 600 ohms?
8. What resistance will let 2A of current pass through a circuit with a 50V battery?
9. What is the force of a 1.28×10^-18 C charge on a proton 6×10^-8 m away?
Answer:
Just use the formulas
Force = kq1q2/r^2
Field = kq/r^2
V = ir
p = I^2r
p = vi
p = v^2/r
q = i*T
where K is the permittivity of free space
in a longitudinal sound wave, after a compression wave moves through a region, the density of molecules briefly decreases. why is this?
In a longitudinal sound wave, the molecules in the medium oscillate back and forth in the same direction as the wave.
When a compression wave moves through a region, the molecules are pushed closer together, which increases the density of the medium in that region.
However, after the compression wave passes, the molecules quickly move back to their original positions, which briefly decreases the density of the medium. This is because the wave is simply a disturbance that moves through the medium, causing the molecules to vibrate but not actually adding or removing any molecules from the region.
Learn more about longitudinal here:
https://brainly.com/question/8497711
#SPJ11
a pump lifts 22.0 kg of water per minute through a height of 3.10 m .
The pump does 672.06 Joules of work per minute to lift 22.0 kg of water through a height of 3.10 m.
The work done by the pump can be calculated using the formula W = mgh, where W is the work done, m is the mass of water lifted per minute (which is 22.0 kg in this case), g is the acceleration due to gravity (which is approximately [tex]9.81 m/s^2[/tex]), and h is the height lifted (which is 3.10 m).
Substituting the values, we get:
W = (22.0 kg/min) x ([tex]9.81 m/s^2[/tex]) x (3.10 m)
W = 672.06 J/min
Therefore, the pump does 672.06 Joules of work per minute to lift 22.0 kg of water through a height of 3.10 m.
Learn more about work done :
https://brainly.com/question/31428590
#SPJ11
Please help
Explain what role does capitalism and patriarchy play in American beauty? What images
projected in today's media are a result of gender inequality, what message do the images
send to young people? Explain in at least two paragraphs.
Patriarchy, which describes the oppression and marginalization that women face in communities where men hold the majority of the authority, is a term used to describe most modern societies.
Beyond purely economic, legal, or political means, there are numerous more ways that this dominance of men is perpetuated, including through language, stereotypes, religions, culture, traditions, and the media.
As patriarchy existed before capitalism and has continued to do so, they must be separate from one another. Defenders of this theory tend to investigate women's oppression separately and employ the same technique as studies of class oppression, despite the fact that they occasionally impact and benefit from one another.
To learn more about patriarchy, click:
https://brainly.com/question/29545692
#SPJ1
What physical phenomenon predominantly contributes to the magnetic field of the earth?
a. The ionization of metals in the earth's crust.
b. Charged particles from the solar wind that enter the earth's atmosphere.
c. Ion convection in the molten liquid shell that surrounds the earth's solid inner core.
d. The total amount of ferromagnetic iron, cobalt, and nickel that is present in the earth's crust.
e. Ionization in the earth's atmosphere.
The physical phenomenon that predominantly contributes to the magnetic field of the earth is c) ion convection in the molten liquid shell that surrounds the earth's solid inner core.
The physical phenomenon that predominantly contributes to the magnetic field of the Earth is the dynamo effect, which is the process by which a rotating, convecting, and electrically conducting fluid(such as molten iron in the Earth's outer core) generates a magnetic field. In the case of the Earth, the motion of the molten iron in the outer core is driven by heat from the Earth's core and the cooling of the outer core at the boundary with the Earth's mantle. The motion of the molten iron creates electric currents, which generate the magnetic field. This magnetic field is responsible for protecting the Earth from harmful solar and cosmic radiation and also plays a crucial role in navigation and the orientation of many living organisms.
To know more about the magnetic field of the earth, click here;
https://brainly.com/question/21475880
#SPJ11
A ray of light is bent as it passes from medium 1 to medium 2. n1 n2 1) Compare the indices of refraction in the two mediums. n1> n2 n1 -n2 O n1 n2 Submit Survey Question) 2) Briefly explain your reasoning Submit
The answer is "n1 > n2". This is because the ray of light is bent towards the normal as it passes from a medium with a lower refractive index (n2) to a medium with a higher refractive index (n1). The angle of refraction is smaller than the angle of incidence.
This is described by Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is equal to the ratio of the refractive indices of the two media. Therefore, since the ray of light is bent towards the normal, n1 must be greater than n2. When a ray of light passes from one medium to another, its path changes due to a change in the speed of light in the new medium. The index of refraction (n) is a measure of how much the speed of light is reduced in a particular medium compared to its speed in a vacuum.
In general, the index of refraction of a denser medium is higher than that of a less dense medium. This means that when a ray of light passes from a less dense medium (medium 1) to a denser medium (medium 2), it will be bent towards the normal (an imaginary line perpendicular to the surface separating the two media).
Therefore, if a ray of light is bent as it passes from medium 1 to medium 2, we can conclude that n1 > n2, which means that the index of refraction of medium 1 is less than the index of refraction of medium 2.
To know more about refraction
brainly.com/question/14760207
#SPJ11
For a two-tailed hypothesis test with a 0.01 significance level and a known population standard deviation. What is the magnitude of the critical value? 1.65 1.96 2.33 2.58
The magnitude of the critical value for a two-tailed hypothesis test with a 0.01 significance level and a known population standard deviation is 2.58
This value corresponds to the point in the standard normal distribution, beyond which the probability of finding a value is less than 1% (0.5% in each tail). This can be determined by using the z-score table. The z-score table shows the area under the normal distribution curve for a given z-score.
For a 0.01 significance level and a two-tailed test, the area in each tail would be 0.005. Therefore, we need to find the z-score that corresponds to an area of 0.005 in each tail, which is 2.58. This means that any z-score greater than 2.58 or less than -2.58 would be considered statistically significant at the 0.01 level. Therefore, the magnitude of the critical value is 2.58.
The other values mentioned, 1.65 and 1.96, are critical values for one-tailed tests with 0.10 and 0.05 significance levels, respectively, and 2.33 is for a two-tailed test with a 0.02 significance level.
Learn more about standard normal distribution here: https://brainly.com/question/28096232
#SPJ11
estimate of the energy (in joule) contained in a quart of soda.
Thus, the estimated energy content in a quart of soda is approximately 669,440 Joules.
It is difficult to provide an exact estimate of the energy contained in a quart of soda without knowing the specific brand and type. However, on average, a quart of soda contains around 1000 calories or 4,184,000 joules of energy.
It is important to note that consuming excessive amounts of soda can lead to negative health consequences, such as weight gain and an increased risk of developing chronic diseases.
To estimate the energy content in a quart of soda, we will first determine the amount of sugar in the soda and then convert that into energy using a standard value for the energy content of sugar.
1. A quart is equivalent to 32 fluid ounces (fl oz).
2. Let's assume the soda has 10 grams (g) of sugar per 8 fl oz serving, a common value for many sodas.
3. Calculate the total amount of sugar in the quart of soda: (32 fl oz / 8 fl oz) * 10 g = 40 g of sugar.
4. The energy content of sugar is about 4 kilocalories (kcal) per gram.
5. Calculate the total energy in kcal: 40 g * 4 kcal/g = 160 kcal.
6. Convert kcal to joules (J): 1 kcal = 4,184 J, so 160 kcal * 4,184 J/kcal ≈ 669,440 J.
Thus, the estimated energy content in a quart of soda is approximately 669,440 Joules.
learn more about energy here
https://brainly.com/question/1932868
#SPJ11
the position of an object is given by: 2t^2 3t 4 (units in m). what is the velocity after three seconds?
The velocity of the object after three seconds is 15 m/s.
To find the velocity of an object after three seconds given the position function 2t²+ 3t + 4 (in meters), we will first find the velocity function by taking the derivative of the position function with respect to time, and then evaluate the velocity function at t = 3 seconds.
1. Find the derivative of the position function:
Position function: P(t) = 2t² + 3t + 4
Derivative (velocity function): V(t) = dP(t)/dt = 4t + 3
2. Evaluate the velocity function at t = 3 seconds:
V(3) = 4(3) + 3 = 12 + 3 = 15 m/s
So, the velocity of the object after three seconds is 15 m/s.
To learn more about velocity https://brainly.com/question/80295?source=archive
#SPJ11
What are irregular galaxies mostly filled with? Question 11 options: Quasars and spirals Dark matter and clusters Clusters and black holes Gas and dust
6. A cylindrical wire has a resistance R and resistivity rho. If its length and diameter are BOTH cut in half, what will be its resistance? a) 4R b) 2R c) R d) R/2 e) R/4 7. A cylindrical wire has a resistance R and resistivity p. Ifits length and diameter are BOTH cut in half, what will be its resistivity? a) 4p c) rho d) p/2 e) p/4 8. When a potential difference of 10 V is placed across a certain solid cylindrical resistor, the current through it is 2 A. If the diameter of this resistor is now tripled, the current will be a) 2/9 A b) 2/3 A c) 2 A d) 3 A. e) 18 A
Explanation:
R = p L / A p = resistivity A = cross sectional area L = length
R = p L / (pi r^2 ) now cut L in half and halve the radius (or diameter)
= p 1/2 L / ( pi (1/2 r)^2)
= 2 p L / ( pi r^2) <======== the original reisistance is doubled
when the circuit gets hotter, what effect does this have on the current
When the circuit gets hotter, it can cause the electrical resistance of current to increase.
The Joule's law of heating says that the heat energy produced in the conductor is directly proportional to the square of electric current, resistance and the time till which the current is supplied.
H=I2RT
This increase in resistance can lead to a decrease in the current flowing through the circuit. In summary, when the circuit gets hotter, the current tends to decrease due to the increase in electrical resistance.
For more information on effect on current of hotter circuithttps://brainly.com/question/31302019
#SPJ11
a contingency table for the number of motor vehicles in use in North American countries, by country and type of vehicle during one year Frequencies are in thousands USC) Canada (Ca) Mexico (C) Automobiles (Va Total 129728 13138 8607 151473 Motorcycles (V) 3871 320 270 4161 Trucks (V) 75.940 6933 4282 87160 Total 209539 20391 13164 243094 1. How many vehicles are Canadian? 20391 2. How many vehicles are motorcycles? 4461 3. How many vehicles are Canadian motorcycles? 320 4. How many vehicles are either Canadian or motorcycles? 24532 5. How many automobiles are Mexican?
1. How many vehicles are Canadian? 20,391 vehicles are Canadian.
2. How many vehicles are motorcycles? 4,161 vehicles are motorcycles.
3. How many vehicles are Canadian motorcycles? 320 vehicles are Canadian motorcycles.
4. How many vehicles are either Canadian or motorcycles? To find this, add the total number of Canadian vehicles and the total number of motorcycles, then subtract the number of Canadian motorcycles (to avoid double-counting): 20,391 + 4,161 - 320 = 24,232 vehicles are either Canadian or motorcycles.
5. How many automobiles are Mexican? There are 8,607 automobiles that are Mexican .
To learn more about Motor Vehicles in North American Countries : https://brainly.com/question/23072188
#SPJ11
what is the entropy change for a pure solid melting into a liquid? group of answer choices δs⁰sys < 0 need more information about the liquid to know δs⁰sys = 0 δs⁰sys > 0
The entropy change (δS⁰sys) for a pure solid melting into a liquid is δS⁰sys > 0. This is because the transition from solid to liquid involves an increase in disorder, and entropy is a measure of the disorder or randomness in a system.
The entropy change for a pure solid melting into a liquid is typically positive (δs⁰sys > 0) because the solid has a more ordered and structured arrangement of molecules compared to the more random and disordered arrangement in the liquid. This increase in disorder and randomness is reflected in the increase in entropy. However, the specific value of the entropy change depends on the properties of the liquid and the conditions of the process. Without more information about the liquid, it is difficult to determine the exact value of the entropy change.
Learn more about entropy change here:
https://brainly.com/question/6364271
#SPJ11
an 4.00 mm -tall object is 25.5 cm from the center of a silvered spherical glass christmas tree ornament 5.55 cm in diameter.
Part A What is the position of its image (measured from the center of the ornament)? in cm
Part B What is the height of its image? (in mm)
The absolute value of the magnification is used because it only tells us whether the image is upright or inverted, not its size. The height of the image is positive because it is upright, meaning that it has the same orientation as the object.
The image of the object will be formed at the same distance as the object itself, but on the opposite side of the lens.
Using the thin lens equation, we get:
[tex]1/di = 1/f - 1/do = 0 - 1/0.255 = -3.92di = -0.255 cm / (-3.92) = 0.065 cm[/tex]
The negative sign of the image distance indicates that the image is inverted, as expected.
The magnification of the image is:
[tex]m = -di/do = -0.065 cm / 2.54 cm = -0.0256[/tex]
[tex]h_i = 0.0256 \times 4.00 mm = 0.1024 mm[/tex]
Orientation refers to the process of introducing and familiarizing new individuals with an organization or a system. The purpose of orientation is to provide new employees or members with an overview of the company's structure, culture, policies, and procedures.
Orientation typically involves a combination of formal presentations, training sessions, and informal meetings to ensure that new members have a clear understanding of the organization's goals and objectives, as well as the expectations placed upon them. It is an essential part of the onboarding process, as it helps new members feel welcomed and supported, and it enables them to integrate into the organization more quickly and effectively.
To learn more about Orientation visit here:
brainly.com/question/12049504
#SPJ4
Complete Question:-
A 4.00-mm-tall object is 25.5 cm from the center of a silvered, spherical, glass Christmas tree ornament, 5.70 cm in diameter. What is the position of its image (measured from the center of the ornament)? Express your answer in centimeters. What is the height of its image? Express your answer in millimeters.