The mass of the planet is approximately 5.97 × 10²⁴ kg. Mass is a fundamental physical quantity that measures the amount of matter in an object. It is a scalar quantity and is measured in units such as kilograms (kg) or grams (g).
The mass of the planet can be calculated using the following formula:
M = (4π²r³)/(GT²)
where M is the mass of the planet, r is the radius of the orbit, T is the period of the orbit, G is the gravitational constant.
In this case, we have r = 3.0 × 10⁶ m, T = 6 h 44 min = 24240 s, and G = 6.6743 × 10⁻¹¹ N m²/kg²
First, we need to convert the period of the orbit to seconds:
6 h 44 min = 6 × 60 min + 44 min = 404 min = 24240 s
Now, we can plug in the values into the formula and solve for M:
M = (4π²r³)/(GT²)
M = (4π²(3.0 × 10⁶)³)/[(6.6743 × 10⁻¹¹)(24240)²]
M = 5.97 × 10²⁴ kg
Learn more about The Mass: https://brainly.com/question/19694949
#SPJ11
New attempt is in progress. Some of the new entries may impact the last attempt grading. Incorrect. The hammer throw is a track-and-field event in which a 7.30-kg ball (the hammer) is whirled around in a circle several times and released. It then moves upward on the familiar curved path of projectile motion and eventually returns to the ground some distance away. The world record for the horizontal distance is 86.75 m, achieved in 1986 by Yuriy Sedykh. Ignore air resistance and the fact that the ball was released above the ground rather than at ground level. Furthermore, assume that the ball is whirled around a circle that has a radius of 2.22 m and that its velocity at the instant of release is directed 47.9° above the horizontal. Find the magnitude of the centripetal force acting on the ball just prior to the moment of release.
This question involves the concepts of centripetal force, range of projectile and projectile motion.
The magnitude of centripetal force is "2812.8 N".
First, we will find the velocity of the ball by using the formula of the range of the projectile.
\(R = \frac{v^2Sin2\theta}{g}\)
where,
R = range of projectile = 86.75 m
v = speed = ?
θ = launch angle = 47.9°
g = acceleration due to gravity = 9.81 m/s²
Therefore,
\(86.75\ m = \frac{(v)^2Sin(2)(47.9^o)}{9.81\ m/s^2}\\\\v = \sqrt{\frac{(86.75\ m)(9.81\ m/s^2)}{Sin95.8^o}}\)
v = 29.25 m/s
Now, we will use the formula to find out the centripetal force:
\(F_c = \frac{mv^2}{r}\)
where,
\(F_c\) = Centripetal Force = ?
m = mass of the ball = 7.3 kg
v = speed = 29.25 m/s
r = radius = 2.22 m
Therefore,
\(F_c = \frac{(7.3\ kg)(29.25\ m/s)^2}{2.22\ m}\)
Fc = 2812.8 N = 2.812 KN
Learn more about centripetal force here:
https://brainly.com/question/11324711?referrer=searchResults
When a 4-kg ball is thrown upwards at 40 m/s, at what
height is the potential energy equal to the kinetic
energy
Answer:
the height of the potential energy is 3,200 J
Explanation:
The computation of the kinetic energy is shown below:
Kinetic energy = 1 ÷ 2 × mass × velocity^2
= 1 ÷ 2 × 4 kg × 40 m/s^2
= 3,200 J
Hence the height of the potential energy is 3,200 J
The mass of a newborn baby's brain has been found to increase by about 1.6 mg perminute. (a) How much does the brain's mass increase in one day?
ANSWER
2304 mg
EXPLANATION
The rate is given in mg per minute. To find how much the brain's mass increases in one day we have to find how many minutes are in a day.
Assuming that a day has 24 hours and 1 hour has 60 minutes:
\(24h\cdot\frac{60\min}{1h}=1440\min \)One day has 1440 minutes. Then, in one day the brain's mass increases:
\(1.6mg/\min \cdot1440\min =2304mg\)The newborn baby's brain's mass increases 2304 mg in one day.
12. The resistivity of a given wire of cross-sectional
area 0.7mm 4.9 x 10raised to the power of -4ohm mm. Calculate the
resistance of a 2ohm length of the wire
R = resistivity × (l/A), A = πr^2= πd^2/4
2 =( 4.9 × 10^ -4) * (l/π0.7^2/4)
make l the subject and calculate.
i assumed we are looking for the length if the wire.
the coefficient of static friction is 0.754 between the soles of a 60.0 kg sprinter's running shoes and the level track surface on which she is running. determine the maximum acceleration she can achieve. do you need to know that her mass is 60.0 kg?
Yes, the information that the sprinter's mass is 60.0 kg is needed to find the normal force and to determine the maximum acceleration.
To determine the maximum acceleration that the sprinter can achieve, we need to know the coefficient of static friction between the soles of her shoes and the track surface, as well as her weight (force of gravity acting on her).
The coefficient of static friction can be used to calculate the maximum force of friction (friction force = coefficient of static friction x normal force).
The normal force is equal to the weight of the object, which is given as 60.0 kg. So the normal force is : 60.0 kg x 9.8 m/s^2 = 588 N.
The maximum force of friction is: friction force = coefficient of static friction x normal force
= 0.754 x 588 N
= 445.5 N
The maximum acceleration can be determined by dividing the force acting on an object by its mass.
a = F / m
= 445.5 N / 60.0 kg
= 7.4 m/s^2
So the maximum acceleration the sprinter can achieve is 7.4 m/s^2
To know more about acceleration click here:
https://brainly.com/question/12550364#
#SPJ4
Which of the following can be correct units for acceleration?
A. miles/hr/m
B. Km/s/hr
C. m/s/m
D. km/m/s
Answer:
B. Km/s/hr
Explanation:
Calculate the net force on particle q₁.
Now use Coulomb's Law and electric constant to
calculate the force between 91 and 93.
F₂ = k191931
r2
ke 8.99 x 10⁹
r = 0.55 m
F₁ = -14.4 N
+13.0 μC
+91
0.25 m
+7.70 με
+92
F₂ = + [?] N
0.30 m
-5.90 μC
93
Enter
The force between q₁ and q₂ is -1.17 x 10⁻³ N, net force on q₁ is -14.40117 N, force between q₂ and q₃ is 1.09 x 10⁻³ N.
How to determine net force?The given information suggests that there are two particles, q₁ and q₂. The force on q₁ due to q₂ is given by Coulomb's law:
F₂ = k(q₁q₂/r²)
Where, k = Coulomb's constant (k = 8.99 x 10⁹ Nm²/C²), q₁ and q₂ = charges of particles in Coulombs, and r = distance between the particles in meters.
The net force on q₁ is the vector sum of the forces on q₁ due to all other charges.
Given data:
Charge on q₁, q₁ = +13.0 μC = +13.0 x 10⁻⁶ C
Charge on q₂, q₂ = -5.90 μC = -5.90 x 10⁻⁶ C
Distance between q₁ and q₂, r = 0.30 m
Distance between q₁ and q₃, d = 0.55 m
Charge on q₃, q₃ = +7.70 μC = +7.70 x 10⁻⁶ C
Force between q₁ and q₃, F₁ = -14.4 N
Now, calculate the force between q₁ and q₂ as follows:
F₂ = k(q₁q₂/r²)
F₂ = (8.99 x 10⁹ Nm²/C²) [(+13.0 x 10⁻⁶ C) x (-5.90 x 10⁻⁶ C) / (0.30 m)²]
F₂ = -1.17 x 10⁻³ N
(The negative sign indicates that the force is attractive)
Therefore, the force between q₁ and q₂ is -1.17 x 10⁻³ N.
The net force on q₁ is given by the vector sum of the forces on q₁ due to q₂ and q₃:
Net force on q₁ = F₁ + F₂
Net force on q₁ = (-14.4 N) + (-1.17 x 10⁻³ N)
Net force on q₁ = -14.40117 N
Therefore, the net force on q₁ is -14.40117 N.
Finally, calculate the force between q₂ and q₃, which can be found using Coulomb's law as:
F₃ = k(q₂q₃/d²)
F₃ = (8.99 x 10⁹ Nm²/C²) [(-5.90 x 10⁻⁶ C) x (+7.70 x 10⁻⁶ C) / (0.55 m)²]
F₃ = 1.09 x 10⁻³ N
(The positive sign indicates that the force is repulsive)
Therefore, the force between q₂ and q₃ is 1.09 x 10⁻³ N.
Find out more on net force here: https://brainly.com/question/14361879
#SPJ1
What is the resultant?
1400 N
643 N
Juanita studies several free-body diagrams in which a normal force is shown. What is always true about a normal force in a free-body diagram?
Answer: B
Explanation: it is perpendicular to a surface
Answer:
it is perpendicular to a surface
Explanation:
Another example of square-root relationships is the relation between the speed of a wave along a string under tension and the tension itself. Suppose you hold one end of a string and attach the other end to a wall. If you hold the string taut, and wiggle the free end up and down, a wave travels along the string. If the tension in the string is 9 N, the wave travels along the string at 6 m/s; if the tension in the string is 36 N, the wave speed along the string is 12 m/s. If the tension in the string is increased to 81 N , how fast will you expect a wave to travel along the string if you wiggle its free end
Answer:
The right answer is "18 m/s".
Explanation:
The given values are:
Velocity,
V = 6 m/s
Tension,
T = 9 N
As we know,
⇒ \(V=(\frac{T}{u})^{\frac{1}{2}}\)
On substituting the given values, we get
⇒ \(6=(\frac{9}{u} )^{\frac{1}{2}}\)
⇒ \(36=\frac{9}{u}\)
⇒ \(u=\frac{9}{36}\)
⇒ \(=\frac{1}{4}\)
Now,
For 81 N the velocity will be:
⇒ \(v=(\frac{81}{(\frac{1}{4} )} )^{\frac{1}{2} }\)
⇒ \(=18 \ m/s\)
Humpback whales are known to produce a collection of elaborate
and repeating sounds with frequencies ranging from 20 Hz to 10 kHz. The sound
waves travel through water at speeds of approximately 1400 m/s. Determine the
wavelengths of the waves at the lower and the upper end of this frequency
range.
Answer:
70 m.
Explanation:
Given,
Frequency, f = 20 HZ
speed of sound, v = 1400 m/s
wavelength of the waves = ?
we know,
v = f λ
Hence, the wavelength of the wave is equal to 70 m.
How is the temperature of water in a bathtub at time t modeled?
The temperature of water in a bathtub at time t can be modeled using a mathematical function that takes into account various factors.
These factors include the initial temperature of the water, the temperature of the surrounding environment, the rate at which heat is added or removed from the water, and the volume of the water in the tub. One common model used to represent the temperature of water in a bathtub is the heat transfer equation, which takes into account the heat transfer coefficient, the temperature difference between the water and the surroundings, and the surface area of the water. Other factors such as the type of insulation used on the tub can also affect the temperature of the water.
The temperature of water in a bathtub at time t can be modeled using the concept of Newton's Law of Cooling. This law states that the rate of change of temperature is proportional to the difference between the object's temperature and the surrounding environment's temperature. In this case, the object is the water in the bathtub and the environment is the air in the bathroom. The mathematical equation for this model is T(t) = Tₐ + (T₀ - Tₐ) * e^(-kt), where T(t) is the temperature at time t, T₀ is the initial temperature, Tₐ is the ambient temperature, k is a constant, and e is the base of natural logarithms.
To learn more about temperature visit;
https://brainly.com/question/7510619
#SPJ11
What will be the atomic radius of copper, if the distance between two adjacent copper atoms in metallic copper is 256 pm?
The atomic radius of copper is approximately 128 picometers (pm).
The atomic radius of an element is defined as half the distance between the nuclei of two identical adjacent atoms in a molecule. In the case of metallic copper, the copper atoms are arranged in a crystal lattice, and the distance between two adjacent copper atoms in the lattice is known as the interatomic distance or lattice parameter.
We are given that the distance between two adjacent copper atoms in metallic copper is 256 pm. Since this is the distance between the nuclei of two adjacent atoms, the sum of the atomic radii of the two copper atoms is equal to 256 pm.
Therefore, the atomic radius of copper can be calculated as follows:
Atomic radius of Cu = (interatomic distance between adjacent Cu atoms) / 2
Atomic radius of Cu = 256 pm / 2
Atomic radius of Cu = 128 pm
Hence, the atomic radius of copper is approximately 128 picometers (pm).
To learn more about picometers visit:
https://brainly.com/question/14272356
#SPJ11
Please help me with science! :,)
Answer:
A. wind blows from the land toward the sea.
B. that this happens because the land cools faster than the sea, and, as a result, the air over land cools faster, which creates an area of higher pressure on land and lower pressure over the sea.
Explanation:
bc I am smrt
PLZ thank five star
and brainliest would be appreciated:-)
a wind tunnel can be used to model the effect wind has on an airplane. what is one limitation of this model?
A. Pieces of planes, such as wings, can be tested.
B. Highly skilled workers are necessary to run the wind tunnel.
C. The airflow in the tunnel can be varied to mimic atmospheric conditions
D. A wind tunnel provides valuable information about how planes fly
Answer: B. Highly skilled workers are necessary to run the wind tunnel
Explanation:
A pex
The limitation of this model is highly skilled workers are necessary to run the wind tunnel.
The answer is option B.
What are the restrictions of a wind tunnel?Tunnels open to the environment also are laid low with winds and climate. high running prices. The fan must continually boost up the float through the tunnel. Noisy operation.
What are the advantages of the usage of a wind tunnel to design a plane?They gauge elevate, drag, shockwaves, and other conditions that have an effect on planes and other devices that velocity through the wind. in addition, those tunnels can help engineers parent out how wind interacts with desk-bound items, along with buildings and bridges, and locate methods to make them stronger and safer.
Learn more about wind tunnels here: brainly.com/question/15561541
#SPJ2
A gold bar 20.0kg at 35.0°c is placed in a large insulated 0.8kg glass container at 15°c and 2.0kg of water at 25°c.. calculate the final equilibrium temperature?
Answer:
The final equilibrium temperature is approximately 26.69 °C
Explanation:
The heat transferred, ΔQ, from a hot body to a cold one is given by the following formula;
ΔQ = m·c·ΔT
Where;
m = The mass of the body
c = The specific heat capacity of the body
ΔT = The temperature change of the body
The given mass of the gold bar, m₁ = 20.0 kg
The initial temperature of the gold bar, T₁ = 35.0 °C
The specific heat capacity of gold, c₁ = 0.13 kJ/(kg·K)
The mass of the glass container, m₂ = 0.8 kg
The initial temperature of the glass container, T₂ = 15°C
The specific heat capacity of glass, c₂ = 0.792 kJ/(kg·K)
The mass of the added water, m₃ = 2.0 kg
The initial temperature of the added water, T₃ = 25°C
The specific heat capacity of water, c₃ = 4.2 kJ/(kg·K)
The heat lost by the gold = The heat gained by the glass and the water
Let 'T' represent the temperature at the final equilibrium, we have;
m₁·c₁·ΔT₁ = m₂·c₂·ΔT₂ + m₃·c₃·ΔT₃
Where;
ΔT₁ = T₁ - T
ΔT₂ = T - T₂
ΔT₃ = T - T₃
∴ 20.0 × 0.13 × (35 - T) = 0.8 × 0.792 × (T - 15) + 2.0 × 4.2 × (T - 25)
Expanding and collecting like terms (using a graphing calculator) gives;
91 - 2.6·T = 9.0336·T - 219.504
9.0336·T + 2.6·T = 219.504 + 91 = 310.504
11.6336·T = 310.504
T = 310.504/11.6336 ≈ 26.69
The final equilibrium temperature, T ≈ 26.69 °C.
can you help me with this physics homework? please please please please…
a car starts from rest and travels for 3.4s with a uniform acceleration of 17.0 m/s. what is the final velocity of the car
Answer:
Explanation:
57.8 m/s
6. A rocket accelerates from rest to a speed of 400 m/s in 40 s. If the mass of the rocket is 12,000 kg, what force is needed to accelerate it? What force is needed just to balance its weight? How much total force must the engines provide?
The required force need to accelerate the rocket is 120000N while the force need to balance the weight is 117600 N and the total force is 237,600 Newtons.
What is force?Force is defined as an object which is in a state of motion then its rate of change of moment is called force.
Here,
We can use the equations of motion to solve this problem.
First, we can find the acceleration of the rocket
a = (v - u) / t
where v is the final velocity, u is the initial velocity (which is 0 in this case), and t is the time taken.
a = (400 m/s - 0) / 40 s
a = 10 m/s²
Next, we can use Newton's second law, F = ma,
F = ma
F = 12,000 kg x 10 m/s²
F = 120,000 N
So the force needed to accelerate the rocket is 120,000 Newtons.
The weight of the rocket is given by,
weight = m x g
weight = 12,000 kg x 9.8 m/s²
weight = 117,600 N
To balance the weight, a force of 117,600 N must be exerted on the rocket in the opposite direction.
total force = force to accelerate + force to balance weight
total force = 120,000 N + 117,600 N
total force = 237,600 N
So the engines must provide a total force of 237,600 Newtons.
Learn more about force here:
https://brainly.com/question/26115859
#SPJ9
Apply the Pauli exclusion principle to determine the number of electrons that could occupy the quantum states described by the following.
(a)
n = 4,
ℓ = 1,
mℓ = −1
_____ electrons
(b)
n = 4,
ℓ = 3
____ electrons
The number of electrons that could occupy the quantum states described by n = 4, ℓ = 1, and mℓ = −1 is 2.
(a) The quantum numbers given represent the 4p orbital. According to the Pauli exclusion principle, each orbital can accommodate a maximum of two electrons with opposite spins.
The number of electrons that could occupy the quantum states described by n = 4 and ℓ = 3 is 14.
(b) The quantum numbers given represent the 4f subshell. The number of orbitals in the 4f subshell is 7, and each orbital can accommodate a maximum of 2 electrons with opposite spins.
To know more about quantum numbers refer here
https://brainly.com/question/23412293#
#SPJ11
Give an example of periods (periodic table)
Answer:
helium, hydrogen, nitrogen, oxygen,iron,uranium,
Explanation:
there are 118 elements but here are some
I will mark brainliest !!
Answer:
i think its b
Explanation:
Explain What is electrical energy and why do we need this energy
Answer:
WHAT IS ELECTRICAL ENERGY?Electrical energy is the most convenient form of energy for most human uses. Electrical energy is easy use and move from one location to another, but it is almost impossible to store in any large quantity. It can be used for running computers and most appliances, home heating, and even transportation.ELECTRICITY is used by industry, households, and businesses—accounting for 18% of end use energy worldwide.Electrical energy is very convenient, and as a result more and more of the energy used by a high energy society is in the form of electricity, see figure 1. The rate of electrical energy use is growing faster than the rate of electricity use, see figure 2.WHY DO WE NEED ELECTRICAL ENERGY?Electrical energy is used throughout the world to power devices, appliances and methods of transportation utilized in daily life. To make things operate, electrical energy must be emitted from energy sources such as power plants, to enable an object to consume the power it needs to function.Compare and contrast speed, velocity, and acceleration. Why do their differences matter?
Answer:
Speed is a scalar quantity, that is, it is a number and indicates how fast (or slow) one travels at any given time.
Velocity is a vector quantity, this means that it has magnitude and direction, that is, how fast an object travels and its where its going (speed + the direction in which the object moves).
Acceleration is the ratio of the velocity change over the time interval in which this velocity change occurred. Acceleration as well as velocity is a vector quantity so it is made up of magnitude and direction.
The differences between these three quantities are important for the description of the movement. In the case of speed and velocity, its difference lies in the fact that velocity indicates the direction in which the movement is taking place (and speed is only a number), which in many physical phenomena the direction of movement is an important property. And the difference between acceleration and velocity is that acceleration instead of a velocity indicates a change in velocity (either in magnitude, direction or both), which tells us how fast a velocity will increase or decrease over time.
Question 2 (4 points) The cause of heat cramps is the loss of sodium and potassium through heavy sweating? True False
Answer:
True
Explanation:
Lose of water content in our body through sweating and lose of essential salts such as potassium and sodium causes heat cramps...
Thank you
During the months of June-November, the Department of health always releases public health advisories. These include warnings against diarrhea, dengue, leptospirosis, and many more. Why does the DOH issue these advisories at those specified months?
The DOH issues advisories from June to November due to increased health risks associated with the rainy season, disease outbreaks, and the need for preparedness and public education.
The Department of Health (DOH) issues public health advisories during the months of June to November for several reasons related to public health concerns specific to that time period. Here are some possible reasons:
1. Rainy Season: In many regions, June to November corresponds to the rainy season or monsoon season. During this time, there is an increase in rainfall, which can lead to various health risks such as waterborne diseases, flooding, and increased vector population (mosquitoes, rats, etc.). The DOH issues advisories to raise awareness and provide preventive measures against these risks.
2. Disease Outbreaks: Certain diseases are more prevalent or have a higher likelihood of outbreaks during specific months. For example, dengue fever is commonly associated with the rainy season due to the increased breeding of mosquitoes in stagnant water. Leptospirosis, which is transmitted through contaminated water, is also more common during this period. The DOH issues advisories to inform the public about these diseases and how to prevent them.
3. Preparedness and Response: The DOH aims to promote preparedness and timely response to public health emergencies. By issuing advisories in advance, they can inform the public about potential health risks, preventive measures, and necessary actions to take. This helps individuals and communities be better prepared and able to respond effectively to health threats.
4. Awareness and Education: Public health advisories serve as a means to educate and raise awareness about health-related issues. The DOH uses these opportunities to disseminate information on proper hygiene practices, sanitation, vaccination, and other preventive measures. By targeting specific months, they can address the specific health concerns associated with that time of the year.
It's important to note that the specific reasons for issuing advisories during these months may vary depending on the region and prevailing health risks. The DOH assesses local epidemiological data and collaborates with other agencies to determine the appropriate timing and content of the advisories.
Learn more about health risks here :-
https://brainly.com/question/26184017
#SPJ11
Now assume that after the kick, the puck slides on a surface where friction is no longer negligible. Describe the motion of the puck right after the kick. a) The speed is constant and the same as without friction. b) The speed is constant but slower than without friction. c) The speed gradually decreases for a while, and then stays constant. d) The speed gradually increases for a while at first, then gradually decreases. e) The speed decreases until the puck comes to a stop.
The speed gradually decreases for a while, and then stays constant because of force of friction acting on it.
When the puck slides on a surface with friction, the force of friction acts on it, which opposes its motion. This force gradually slows down the puck until it reaches a point where the force of friction balances the force that was initially driving it forward. At this point, the puck's speed stays constant because the two forces are balanced. However, it takes some time for the puck to reach this equilibrium point, during which the speed gradually decreases.
Option (c) best describes the motion of the puck in this case. Option (a) is not correct because the force of friction causes the speed to decrease. Option (b) is also not correct because the speed decreases due to friction. Option (d) is not applicable in this case because there is no net increase in the speed of the puck. Option (e) is not correct because the puck's speed stays constant once it reaches equilibrium.
Learn more about friction here:
https://brainly.com/question/13000653
#SPJ11
Help quick physics area question
Answer: The area of brick in contact with the floor is 1539 \(cm^{3}\).
Explanation:
Given: Length = 19 cm
Width = 9 cm
Height = 9 cm
As the brick is rectangular in shape. Hence, its area will be calculated as follows.
\(Area = length \times width \times height\)
Substitute the values into above formula as follows.
\(Area = length \times width \times height\\= 19 cm \times 9 cm \times 9 cm\\= 1539 cm^{3}\)
Thus, we can conclude that area of brick in contact with the floor is 1539 \(cm^{3}\).
Please Help Quick ASAP Hurry This is Physical Science
Which statements best describe magnetic fields?
A. Magnetic fields need a conductor.
B. Magnetic fields must have only positive charges.
C. Magnetic fields have north and south magnetic poles.
D. Magnetic fields are always found in insulators.
Answer:
Think it is C
Explanation:
Not sure!!!
can someone help plzzzzzz
Answer:
16 no answer is 50 and 17 no answer is10
Explanation:
first one is 50
second one is 10
please make me brainliest