Answer:
3,570 JExplanation:
The work done by an object can be found by using the formula
workdone = force × distance
From the question
force = 1020 N
distance = 3.5 m
We have
workdone = 1020 × 3.5 = 3570
We have the final answer as
3,570 JHope this helps you
A car has a mass of 1.2 tonne. The suspension spring of the car together have a spring constant of 2.0. How for does the weight of the car compress its spring
Answer:
x = 58.86[mm]
Explanation:
This problem can be solved by means of Hooke's law which tells us that the force is equal to the product of the constant of the spring by the distance that is compressed or stretched. The following equation can be used.
\(F=k*x\)
where:
F = force or weight [N]
k = spring constant = 2*10⁵ [N/m]
x = distance compressed [m]
The weight can be calculated as the product of the mass by the gravity acceleration.
\(F=m*g\\F=1.2*1000*9.81\\F=11772[N]\)
Now replacing in the Hook's law
\(11772=2*10^{5} *x\\x=0.05886[m]\\x=58.86[mm]\)
Which of the following forces causes acceleration? gravity friction velocity energy
A.gravity
B.friction
C.velocity
D.energy
Answer:
A
Explanation:
gravity causes acceleration .... the ACCELERATION of GRAVITY on earth is approx 9.81 m/s^2
How much is the pressure exerted at a point where a ball- pointed pen of area 1mm 2 is pushed against the paper with a force of 24 N
Answer:
Please find the attached pdf
Explanation:
A 100-Hz pure tone at a 70-dB sound level and a 1,000-Hz pure tone at the same sound level are heard separately. Do they sound equally loud?
yes or no? if not, which is louder, and why?
No, they do not sound equally loud. The loudness of a sound is also affected by the frequency of the sound, as well as the sound level.
How do we hear?The 1,000-Hz tone would sound louder than the 100-Hz tone, even though they are both at the same sound level of 70 dB. This is because the human ear is more sensitive to sounds in the frequency range of 2,000-4,000 Hz, which is where the peak of our hearing sensitivity occurs.
How is loudness measured?In this case, if we were to measure the loudness of the two tones in phons, the 1,000-Hz tone would have a higher phon value than the 100-Hz tone at the same sound level, indicating that it sounds louder to the human ear. The loudness of a sound is typically measured in units called phon, which take into account both the sound level and the frequency response of the human ear.
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Assume the outer ear is a cylindrical tube, open at one end and closed at the other, with a length of 3 cm. Calculate the lowest resonance frequency (the fundamental frequency) of this tube.
The lowest resonance frequency of the outer ear tube is 1220 Hz.
The lowest resonance frequency of a cylindrical tube, such as the outer ear, can be calculated using the formula:
f = (c/2π) x (1/L)
where:
f is the frequency (in hertz)
c is the speed of sound in air (approximately 343 m/s at room temperature and normal atmospheric pressure)
L is the length of the tube (in meters)
In this case, the length of the outer ear tube is given as 3 cm, or 0.03 meters. The tube is closed at one end and open at the other, so we must take into account that the closed end is a node of the standing wave, and the open end is an antinode.
This means that the lowest resonance frequency, or fundamental frequency, of the tube will be the frequency at which a half-wavelength fits into the length of the tube. Therefore, the wavelength of the sound wave that will resonate in the tube is twice the length of the tube (since it has a closed end), or 0.06 meters.
Using the formula above, we can calculate the fundamental frequency as:
f = (343/2π) x (1/0.03) ≈ 1220 Hz
Therefore, the lowest resonance frequency of the outer ear tube is approximately 1220 Hz.
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Are your observations of the tape strip interactions consistent with hypothesis 1, i.e., that there are 2 types of charge? Explain your answer carefully, in complete sentences, and using the results of all your observations
Yes, the tape strip interactions support hypothesis 1, as they exhibit attraction and repulsion, indicating the presence of two charge types.
The observations of the tape strip interactions are consistent with hypothesis 1, which suggests there are two types of charge.
When the tapes have the same charge, they repel each other, while tapes with opposite charges attract each other. This behavior demonstrates the existence of positive and negative charges.
The results of all observations further confirm this hypothesis, as the consistent pattern of attraction and repulsion remains true for various tape combinations.
Thus, the tape strip interactions provide evidence supporting the idea that there are indeed two types of charge.
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Your friend has a rubber band stretched between two fingers. When you pluck the rubber band, it vibrates and makes sound. What would you have to do to make the sound a higher pitch?
To make a higher pitch, stretch the rubber band more.
To make a higher pitch, pluck the rubber band less hard.
To make a higher pitch, stretch the rubber band less.
To make a higher pitch, pluck the rubber band harder.
Answer:
I think it is To make a higher pitch, stretch the rubber band more
Explanation:
I'm not too sure. Sry if u got it wrong
Answer:
To make a higher pitch ,pluck the rubber band more
A rock climber, of total mass 62kg, holds herself in horizontal equilibrium against a vertical cliff. She pulls
on a rope that is fixed at the top of the cliff and presses her feet against the cliff.
(a) Calculate the total weight of the climber.
(b) State the two conditions needed for equilibrium.
(c) The climber’s centre of mass is 0.90m from the cliff.
(i) Calculate the moment about her feet due to her weight
(ii) The line of the rope meets the horizontal line through her centre of mass at distance of 1.2m from the
cliff, as shown in the figure. The rope is at an angle of 60° to the horizontal. Determine the tension in the
rope. (Take g = 10ms-2
)
Answer:
(a) The total weight of the climber is equal to her mass multiplied by the acceleration due to gravity. Therefore, W = mg = 62 kg x 10 m/s^2 = 620 N.
(b) The two conditions needed for equilibrium are that the net force acting on the climber is zero and the net torque acting on the climber is zero.
(c)(i) The moment about her feet due to her weight is equal to the weight of the climber multiplied by the distance between her feet and the cliff. Therefore, M = W x d = 620 N x 0.9 m = 558 Nm.
(ii) To determine the tension in the rope, we need to resolve the forces acting on the climber in the horizontal and vertical directions. In the horizontal direction, the tension in the rope is balanced by the force of friction between the climber's feet and the cliff. Therefore, T = F.
In the vertical direction, the climber's weight is balanced by the normal force of the cliff and the tension in the rope. Therefore, N + Tcos(60) = W.
Since the climber is in equilibrium, the net torque acting on her must be zero. Therefore, the torque due to the tension in the rope must be equal and opposite to the torque due to the climber's weight. Therefore, Tsin(60) x 1.2 = M.
Substituting the values we have, we get:
N + Tcos(60) = W
Tsin(60) x 1.2 = M
Solving for T, we get:
N = W - Tcos(60) = 620 N - T(0.5)
Substituting this into the second equation, we get:
Tsin(60) x 1.2 = M
Tsin(60) = M / 1.2 = 558 Nm / 1.2 m = 465 N
Substituting this value of T into the first equation, we get:
N = 620 N - T(0.5) = 620 N - 465 N(0.5) = 388 N
Therefore, the tension in the rope is 465 N and the normal force of the cliff on the climber is 388N
Imagine that you are hovering next to a space shuttle and your buddy of equal mass who is moving a 4km/h with respect to the ship bumps into you if he holds onto you how fast do you both move with respect to the ship
The two individuals will move together with a velocity of -2 km/h.
What is the common velocity after the collision?Assuming that the initial velocity of the space shuttle is zero, and neglecting the effect of gravity, the total momentum of the system before the collision is zero, since the space shuttle and the two individuals are at rest. After the collision, the momentum of the system must still be zero, since there are no external forces acting on it.
If your buddy bumps into you and holds onto you, the two of you will move together with a common velocity.
Since your buddy has a velocity of 4 km/h with respect to the ship, the momentum of your buddy before the collision is:
momentum = mass x velocity = m x v = m x 4 km/h
To conserve momentum, the momentum of the two individuals after the collision must also be equal to m x (-4 km/h), since the momentum is opposite in direction.
Since the two individuals have the same mass, their common velocity after the collision can be calculated as:
momentum = mass x velocity = 2m x v'
where;
v' is the common velocity of the two individuals after the collision.Therefore:
2m x v' = m x (-4 km/h)
v' = (-4 km/h) / 2 = -2 km/h
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Sam makes six star-shaped cookies out of dough. He puts all of the cookies on a balance and measures the total weight as 36 grams. He then squeezes the cookies into one big ball and measures the weight. What is the weight of the entire ball?
Answer:
The answer is "36 grams".
Explanation:
In this question, the weight of the ball is not mentioned but is the weight of the cookies is declared, which is equal to 36 grams, and all the cookies are squeezes into the ball and after that, it calculates the overall weight so, let assume that ball weight is =0 and then the overall weight is:
\(=\text{weight of ball + cookies weight}\\\\=0+36 \ grams \\\\=36 \ grams\)
cuky and Magneton Post. Tout (OL//17
A student has wired lights for a model house project for class. To properly demonstrate the circuit, the student wants to show that Bulb #3
will not light, but all of the others do.
Peshw1
Lik
LE
Reso2
At which point must the break in the circuit be located for this to happen, provide evidence to support your claim and what would one need
to do in order to make the entire circuit work? (AKS 10b)
Answer:
the switch or the wire
Explanation:
A 120-kg roller coaster cart is being tested on a new track, and a crash-test dummy is loaded into it. The roller coaster starts from rest at point A which is 25 m above point B. In your own words, what physics ideas would you be able to use to predict how fast the cart is moving at point B? What calculations would you use, what things would you be measuring, and what physics principles or laws would you use to make this calculation
Answer:
vb = 22.13 m/s
So, the only thing that was measured here was the height of point A relative to point B. And the Law of Conservation of Energy was used.
Explanation:
In order to find the speed of roller coaster at Point B, we will use the law of conservation of Energy. In this situation, the law of conservation of energy states that:
K.E at A + P.E at A = K.E at B + P.E at B
(1/2)mvₐ² + mghₐ = (1/2)m(vb)² + mg(hb)
(1/2)vₙ² + ghₐ = (1/2)(vb)² + g(hb)
where,
vₙ = velocity of roller coaster at point a = 0 m/s
hₙ = height of roller coaster at point a = 25 m
g = 9.8 m/s²
vb = velocity of roller coaster at point B = ?
hb = Height of Point B = 0 m (since, point is the reference point)
Therefore,
(1/2)(0 m/s)² + (9.8 m/s²)(25 m) = (1/2)(vb)² + (9.8 m/s²)(0 m)
245 m²/s² * 2 = vb²
vb = √(490 m²/s²)
vb = 22.13 m/s
So, the only thing that was measured here was the height of point A relative to point B. And the Law of Conservation of Energy was used.
which tags have their own transmitter and a power source (typically a battery)?
RFID (Radio Frequency Identification) tags have their own transmitter and a power source, typically a battery.
RFID tags are small electronic devices that can be attached to or embedded in various objects, allowing them to be tracked and identified using radio waves.
These tags contain a microchip that stores information about the object they are attached to, and a transmitter that sends this information wirelessly to an RFID reader.
There are two types of RFID tags: active and passive.
Active RFID tags have their own power source (typically a battery) and can transmit information over longer distances than passive tags, which rely on the energy of the RFID reader to transmit their information.
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If you have to apply 30 n of force on a crowbar to lift a rock that weighs 330 n, what is the actual mechanical advantage of the crowbar?
The actual mechanical advantage of the crowbar can be calculated by dividing the weight of the rock (330 n) by the force applied (30 n), which gives a result of 11. Therefore, the actual mechanical advantage of the crowbar in this scenario is 11.
To calculate the actual mechanical advantage of the crowbar, you can use the following formula:
Actual Mechanical Advantage (AMA) = Output Force / Input Force
In this case, the output force is the weight of the rock (330 N) and the input force is the force you apply on the crowbar (30 N). Plugging these values into the formula, we get:
AMA = 330 N / 30 N = 11
The actual mechanical advantage of the crowbar is 11.
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North Springs and South Springs are two firms that serve the local market for bottled water. Each firm must choose to either maintain or increase its current output. The first entry in each cell in the payoff matrix below shows the profits for North Springs, and the second entry in each cell shows the profits for South Springs. South Springs Maintain Output Increase Output $15, $30 $15, 545 North Springs Maintain Output Increase Output $30, $26 $27, $28 If the two firms do not cooperate, which of the following represents the payoff North Springs and South Springs receive in the dominant-strategy equilibrium and the Nash equilibrium? Dominant Strategy Nash Equilibrium (A) None ($27, $28) (B) ($27, $28) ($15. $45) (C) ($30, $26) ($15, $45) (D) ($27, $28) ($27, $28) (E) ($30, $26) ($27, $28)
In the dominant-strategy equilibrium, both firms choose the strategy that maximizes their payoff, regardless of what the other firm does. In this case, both North Springs and South Springs will choose to increase output, as it gives them the highest payoff in both scenarios ($27 for North Springs and $28 for South Springs). Option (D) ($27, $28) ($27, $28).
In the Nash equilibrium, each firm chooses the best strategy, given the strategy chosen by the other firm.
In this case, if North Springs chooses to maintain output, South Springs will choose to increase output to get a higher payoff ($45).
If North Springs chooses to increase output, South Springs will also choose to increase output to get a higher payoff ($28).
Similarly, if South Springs chooses to maintain output, North Springs will choose to increase output to get a higher payoff ($27). If South Springs chooses to increase output, North Springs will also choose to increase output to get a higher payoff ($27).
Therefore, the Nash equilibrium is also when both firms choose to increase output, resulting in a payoff of ($27, $28).
Thus, the correct answer is Option (D) ($27, $28) ($27, $28).
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If a car is traveling 35 m/s for 200 seconds, how far will the car travel?
What is the Zenith angle at 45 degrees North during the Spring Equinox?
2. Calculate the Zenith angle, Solar elevation angle, and beam spreading at a site located at 45 Degrees North on the Autumnal eqinox on September 22nd.
3. At what latitude does daylight hours have the least variability?
4. true or false: The greater the solar angle (from 0 degrees to 90 degrees), the less spread out the solar beam is and the more concentrated solar radiation will be at that point.
The Zenith angle at 45 degrees North during the Spring Equinox is 45 degrees.
The Zenith angle is measured as the angle between the vertical line (directly overhead) and the line connecting the observer to the Sun. During the Spring Equinox, when the Sun is directly above the Equator, the Zenith angle at any latitude is equal to the latitude itself.
To calculate the Zenith angle, Solar elevation angle, and beam spreading at a site located at 45 degrees North on the Autumnal equinox (September 22nd), additional information is needed, such as the time of day and the observer's exact location (longitude). These factors affect the position of the Sun in the sky. The Zenith angle is the angle between the vertical line and the line connecting the observer to the Sun. The Solar elevation angle is the complement of the Zenith angle (90 degrees minus the Zenith angle). Beam spreading refers to the divergence of the solar beam as it travels through the atmosphere, which is influenced by factors such as atmospheric conditions and the Sun's position.
The latitude at which daylight hours have the least variability is the Equator (0 degrees latitude). At the Equator, the length of daylight hours remains relatively constant throughout the year, with minimal variation. In contrast, as you move farther away from the Equator towards the poles, the variability in daylight hours becomes more pronounced, with significant changes between the seasons.
False. The spread of the solar beam, known as beam spreading, is actually greater at higher solar angles (closer to 90 degrees) compared to lower solar angles (closer to 0 degrees). At higher solar angles, the solar beam covers a larger area due to the greater incidence angle, resulting in a larger spread of solar radiation. As the solar angle decreases and approaches 0 degrees, the solar beam becomes more concentrated and focused on a smaller area, leading to a higher intensity of solar radiation at that point.
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explain why humans get an electric shock when the touch live wire ?
Answer:
look it up
Explanation:
An electrical shock is received when electrical current passes through the body. ... Whenever two wires are at different voltages, current will pass between them if they are connected. Your body can connect the wires if you touch both of them at the same time. Current will pass through your body.
land controlled by the lord of the manor is called
Answer: The whole of it was owned originally by the lord of the manor. He lived in the big house called the manor house. Attached to it were many acres of grassland and woodlands called the park. These were the "demesne lands" which were for the personal use of the lord of the manor.
The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.
Thus, The park, which covered many acres of grassland and trees, was connected to it. These "demesne lands" belonged to the lord of the manor and were used exclusively for his exclusive purposes.
The word "manor" is derived from the Old French word "manoir," which means "dwelling place," but a manor isn't just any old house.
The homes and grounds of the nobility were referred to as manors back when people still had titles of nobility. expressing to someone that his home is a manor is the equivalent of expressing that it is so lavish and beautiful that it could have belonged to a lord.
Thus, The lord of the manor previously owned the entire property. He resided in the substantial home known as the manor house.
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calculate the linear acceleration of a car, the 0.310-m radius tires of which have an angular acceleration of 15.5 rad/s2. assume no slippage and give your answer in m/s2.
the linear acceleration of a car, the 0.310-m radius tires of which have an angular acceleration of 15.5 rad/s2 is 4.805 m/s².
To calculate the linear acceleration of a car with 0.310-meter radius tires and an angular acceleration of 15.5 rad/s², you can use the following formula:
Linear acceleration (a) = Radius of tires (r) × Angular acceleration (α)
Step 1: Identify the given values
- Radius of tires (r) = 0.310 meters
- Angular acceleration (α) = 15.5 rad/s²
Step 2: Use the formula to calculate the linear acceleration
a = 0.310 m × 15.5 rad/s²
Step 3: Calculate the result
a = 4.805 m/s²
The linear acceleration of the car is 4.805 m/s².
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A rocket launched vertically rises with a constant speed for 60 s to a height of 10000 m. If the mass of the rocket is 1000 kg (and assume mass is constant), what is the power of the engine? (use g
The power of the rocket has a mass of 1000 kg is 16,33,333.33 Watt
The mass of the rocket = 1000 kg
The rocket travels at a constant speed for 60 s
The displacement of the rocket = 10000 m
The formula to find the power of the rocket engine is
P = F x v
where F is the force and
v is the velocity
Thus P = (m x g x d)/t
where m is the mass of the rocket
g is the acceleration due to gravity
d is the displacement
t is the time taken
Let us substitute the known values in the above equation, we get
P = ( 1000 x 9.8 x 10000 ) / 60
= 98000000 / 60
= 1633333.33
Therefore, the power of the rocket is 16,33,333.33 W
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Jane on her way to work walks 3 meters east, 8 meters north, and, another 3 meters east. As shown in the diagram. What is the magnitude of her displacement?
Which factors are always part of linear motion?
Which of the following would cause the force of kinetic friction to increase?
A. A decrease in the normal force
B. An increase in us
C. A decrease in lk
D. An increase in the normal force
Answer:
Increase in μk
Explanation:
different ans set
what happens to the current in a circuit if a 1.5 volt battery is removed and is placed by a 9 volt battery?
Answer:
The current would increase.
Explanation:
The current would increase. 10. The relationship between resistance and current in a circuit is that the greater the resistance the less the current and the greater the current the less the resistance is.
if a 1.5-volt battery is removed and placed by a 9-volt battery in a circuit, From Ohm's law we can say that the current flow inside the circuit will increase because the voltage increases (resistance remains constant).
What is Ohm's law?Ohm's Law is a fundamental law of physics that describes the relationship between the three basic electrical quantities: voltage, current, and resistance in a circuit.
It states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance between them. Mathematically, Ohm's Law is expressed as:
V = I x R
Where:
V = the voltage or potential difference between two points in the circuit, measured in volts (V).
I = the current flowing through the circuit, measured in amperes (A).
R = the resistance of the conductor, measured in ohms (Ω).
In other words, the voltage (V) across a circuit component is equal to the product of the current (I) flowing through the component and its resistance (R). This law is applicable to both DC (direct current) and AC (alternating current) circuits, as long as the resistance is constant.
Ohm's Law can be used to calculate any one of the three variables if the other two are known. For example, if the voltage and resistance in a circuit are known, the current flowing through the circuit can be calculated using the formula:
I = V / R
Here in the question,
The current in a circuit is determined by the resistance of the circuit and the voltage applied to it, according to Ohm's Law. If a 9-volt battery replaces a 1.5-volt battery, the voltage applied to the circuit will increase, which may cause an increase in the current flowing through the circuit if the resistance remains the same.
However, the increase in voltage may also cause an increase in the heat generated by the circuit, which could potentially damage the components or cause a safety hazard. Therefore, it is important to ensure that the components in the circuit can handle the higher voltage before replacing the battery.
It's also important to note that the current may also depend on the internal resistance of the batteries. A 9-volt battery typically has a lower internal resistance than a 1.5-volt battery, which means it can supply more current to the circuit. So, even if the resistance of the circuit remains the same, the current may still increase due to the higher voltage and lower internal resistance of the 9-volt battery.
Hence, The current flowing through the circuit increased when we removed a 1.5-volt battery and replaced it with a 9-volt battery.
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Ross is very proud of his loud speakers in his car. As he drives along, pedestrians often stare due to their hearing his loud, low-pitched booming. How would we characterize the sounds emitting from Ross' car? High frequency, low amplitude Low frequency, low amplitude Low frequency, high amplitute. High frequency, high amplitude I 26 1 point In response to hearing the noise from Ross' car described in the previous question, we would expect a pedestrian to experience maximum displacement of the basilar membrane at its apex. True False 27 Tpoint Maura holds her head still while looking straight ahead while trying to locate the origin of a sound. Which of the following differences in sound localization will be the most difficult for her to detect? Sounds coming from directly in front of her (12 o'clock) from sounds coming directly behind her (6 o'clock) All directions of sound will be impossible to distinguish without moving the head. Sounds coming from her right side (3 o'clock) from sounds coming from her left side (9 o'clock) All directions of sound will be easy to distinguish without moving the head. 28 1 point The human sensory homunculus devotes considerable space to the larger parts of the body, such as the torso and legs. True False
The sounds emitting from Ross' car can be characterized as low frequency, high amplitude.
The question states that pedestrians often stare at Ross' car due to the loud, low-pitched booming sound they hear. From this description, we can infer certain characteristics of the sound.
Low frequency refers to sounds with a lower pitch, such as deep bass notes. These low-pitched sounds are associated with lower frequencies on the sound spectrum.
High amplitude refers to the intensity or loudness of the sound. When a sound is described as loud, it indicates a high amplitude or a greater magnitude of sound waves.
Therefore, the sounds emitting from Ross' car can be characterized as low frequency (low-pitched) and high amplitude (loud). This combination of characteristics results in the loud, low-pitched booming sound that draws the attention of pedestrians.
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.
A race car is moving with a speed of 280 Km/hr around a circular track with a radius of 320 m. The car and driver have a combined mass of 820 kg. What is the magnitude of the centripetal force that is acting on the car and driver?
The determine the magnitude of the centripetal force acting on the car and driver, we can use the formula Fc = mv^2/r, where Fc is the centripetal force, m is the combined mass of the car and driver, v is the speed of the car, and r is the radius of the circular track.
The First, we need to convert the speed from Km/hr. to m/s by dividing 280 by 3.6, which gives us 77.78 m/s. Then, we can plug in the values into the formula: Fc = (820 kg) x (77.78 m/s) ^2 / (320 m). Simplifying this equation gives us a centripetal force of approximately 15,066 N. This means that the track is exerting a force of 15,066 N towards the center of the circular path, keeping the car and driver moving in a circular motion. It is important to note that the determine the magnitude of the centripetal force increases as the speed or radius of the circular path increases. This force is also necessary for any object moving in a circular path, and without it, the object would move in a straight line instead.
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What is the relation between inertia and mass?
Answer:
"The tendency of an object to resist changes in its state of motion varies with mass. Mass is that quantity that is solely dependent upon the inertia of an object. The more inertia that an object has, the more mass that it has. A more massive object has a greater tendency to resist changes in its state of motion."
Explanation:
I hope this helps! <3
(ii) One possible path of the spacecraft as it approaches the planet is shown in fig.1.1 The spacecraft enters the orbit at point A with speed 3.7x10^3 ms^-1.At point B, a distance of 5.00x10^7 from the centre of the planet, the spacecraft has a speed of 4.1x10^3ms^-1. The mass of the spacecraft is 650kg. For the spacecraft moving from point B to point A, show that the change in gravitational potential energy of the spacecraft is8.3x10^9
The change in gravitational potential energy of the spacecraft as it moves from point B to point A is 8.3x10^9 J.
The change in gravitational potential energy of the spacecraft as it moves from point B to point A can be calculated using the formula:
\(ΔPE = -GMm(1/rA - 1/rB)\) , where
ΔPE is the change in gravitational potential energy,
G is the gravitational constant,
M is the mass of the planet,
m is the mass of the spacecraft,
rA is the distance from the planet's center at point A, and
rB is the distance from the planet's center at point B.
Using the given values, we have:
\(ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)\)\(ΔPE = -(6.67x10^-11 Nm^2/kg^2)(1.50x10^24 kg)(650 kg)(1/5.00x10^7 m - 1/0)\)
Simplifying the expression, we get:
\(ΔPE = -8.3x10^9 J\)
Therefore, the change in gravitational potential energy of the spacecraft as it moves from point B to point A is \(8.3x10^9\)J, which is a negative value because the spacecraft is moving closer to the planet and its gravitational potential energy is decreasing.
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inferring the neutron star maximum mass and lower mass gap in neutron star-black hole systems with spin
Inferring the maximum mass and lower mass gap of neutron stars in neutron star-black hole systems with spin is a challenging astrophysics task. Researchers use equations of state, observational data, and theoretical models to estimate the upper limit of a star's mass without collapsing into a black hole. Spin affects the system's dynamics, stability, and the emission of gravitational waves. This area of research is an active area of study.
Inferring the maximum mass and lower mass gap of neutron stars in neutron star-black hole systems with spin is a challenging task in astrophysics. However, scientists have made progress in understanding these properties through various theoretical and observational studies.
To determine the maximum mass of a neutron star, researchers study the equations of state, which describe the relationship between the pressure, density, and energy within a neutron star. By considering different equations of state, scientists can estimate the upper limit of the mass that a neutron star can attain without collapsing into a black hole. These estimates typically range from around 2 to 3 times the mass of our Sun.
The lower mass gap in neutron star-black hole systems refers to the minimum mass of a black hole that can form through the collapse of a massive star. This lower limit is thought to be around 2.5 to 5 times the mass of our Sun. When a star's mass exceeds this lower limit, it is expected to undergo gravitational collapse and form a black hole.
The presence of spin in neutron star-black hole systems adds complexity to the calculations. Spin affects the dynamics and stability of the system, influencing the mass transfer and orbital evolution between the two objects. It can also lead to the emission of gravitational waves, which can provide valuable information about the system's properties.
To infer the neutron star maximum mass and lower mass gap in neutron star-black hole systems with spin, scientists rely on observations of binary systems that contain a neutron star and a black hole. By analyzing the orbital parameters, such as the period and mass transfer rate, and comparing them with theoretical models, researchers can estimate the masses and other properties of the objects involved.
In conclusion, inferring the neutron star maximum mass and lower mass gap in neutron star-black hole systems with spin involves studying the equations of state, analyzing observational data from binary systems, and comparing theoretical models. The complex interplay between spin, mass transfer, and orbital dynamics makes this an active area of research in astrophysics.
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