Answer:
a) T² = ([tex]\frac{4\pi ^2}{GM}[/tex]) r³
b) veloicity the dependency is the inverse of the root of the distance
kinetic energy depends on the inverse of the distance
potential energy dependency is the inverse of distance
angular momentum depends directly on the root of the distance
Explanation:
1) for this exercise we will use Newton's second law
F = ma
in this case the acceleration is centripetal
a = v² / r
the linear and angular variable are related
v = w r
we substitute
a = w² r
force is the universal force of attraction
F = [tex]G \frac{m M}{r^2}[/tex]
we substitute
[tex]G \frac{m M}{r^2} = m w^2 r[/tex]
w² = [tex]\frac{GM}{r^3}[/tex]
angular velocity is related to frequency and period
w = 2π f = 2π / T
we substitute
[tex]( \frac{2\pi }{T} ) = \frac{GM}{r^3}[/tex]
the final equation is
T² = () r³
b) the speed of the orbit can be found
v = w r
v = [tex]\sqrt{\frac{GM}{r^3} } \ r[/tex]
v = [tex]\sqrt{\frac{GM}{r} }[/tex]
in this case the dependency is the inverse of the root of the distance
Kinetic energy
K = ½ M v²
K = ½ M GM / r
K = ½ GM² 1 / r
the kinetic energy depends on the inverse of the distance
Potential energy
U =
U = -G mM / r
dependency is the inverse of distance
Angular momentum
L = r x p
for a circular orbit
L = r p = r Mv
L =
L =
The angular momentum depends directly on the root of the distance
I need help with 5 please and thank you
Answer: A
Explanation:
High-velocity charged particles can damage biological cells and are a component of radiation exposure in a variety of locations ranging from research facilities to natural background. Describe how you could use a magnetic field to shield yourself.
Answer:
The human body can be a source of magnetic fields. Charged particles when moving through a magnetic field experiences a force. This magnetic force on a moving charge is at right angles to the velocity which makes it possible to use the knowledge of the magnetic field on charged particles to shield yourself from radiation exposure by staying at a right angle to the velocity of the field since magnetic fields tend to shield moving charged particles that is at a right angle to the field. Though the charged particle’s kinetic energy and speed will remain constant.
Explanation:
A magnetic field is a vector field that is generated whenever an electrical charge is moving,
Two bicycle tires are set rolling with the same initial speed of 4.0 m/s along a long, straight road, and the distance each travels before its speed is reduced by half is measured. One tire is inflated to a pressure of 40 psi and goes a distance of 18.2 m; the other is at 105 psi and goes a distance of 92.6 m. Assume that the net horizontal force is due to rolling friction only and take the free-fall acceleration to be g = 9.80 m/s2. What is the coefficient of rolling friction μr for the tire under low pressure?
Answer:
The coefficient of rolling friction will be "0.011".
Explanation:
The given values are:
Initial speed,
[tex]v_i = 4.0 \ m/s[/tex]
then,
[tex]v_f=\frac{4.0}{2}[/tex]
[tex]=2.0 \ m/s[/tex]
Distance,
s = 18.2 m
The acceleration of a bicycle will be:
⇒ [tex]a=\frac{v_f^2-v_i^2}{2s}[/tex]
On substituting the given values, we get
⇒ [tex]=\frac{(2.0)^2-(4.0)^2}{2\times 18.2}[/tex]
⇒ [tex]=\frac{4-8}{37}[/tex]
⇒ [tex]=\frac{-4}{37}[/tex]
⇒ [tex]=0.108 \ m/s^2[/tex]
As we know,
⇒ [tex]f=ma[/tex]
and,
⇒ [tex]\mu_rmg=ma[/tex]
⇒ [tex]\mu_r=\frac{a}{g}[/tex]
On substituting the values, we get
⇒ [tex]=\frac{0.108}{9.8}[/tex]
⇒ [tex]=0.011[/tex]
A projectile is thrown with a velocity of 40 m/s, 45 degrees above the +x-axis. Determine its initial x-velocity and its initial y-velocity.
x-component is V·cos(angle)
y-component is V·sin(angle)
When the angle is 45°, its sin and cos are both 1/2·√2 .
Vx = 20·√2 = 28.28 m/s
Vy = 20·√2 = 28.28 m/s
Which of the following is an example of the transformation of gravitational potential energy into motion energy (kinetic energy)?
Answer:
c
Explanation:
because a drop of water is falling and that is gravitational potential energy into motion energy
What is the name of the supercontinent that developed during the Paleozoic?
Laurasia
Tethys
Pangaea
Rodinia
Is there more than one way to get two objects with identical masses to balance? How?
Answer: yes you can
Explanation: because i i have a trying and a squar that have the same mass it would caunt as the same
Yes we can get two objects with identical masses to balance in this type of scenario.
What is Mass?
This is defined as the quantity of matter which is present in a body at a given point in time.
The two objects with identical masses can be made to balance through the use of a string and a pulley.
Read more about Mass here https://brainly.com/question/19385703
#SPJ9
What is Na2SO4?
Help pleaseeee.
10. John does 176 J of work lifting himself a distance of 0.40 m. How
much force must John apply to accomplish this?
O 440 m
O 440 J
O 440 N
O 70.4 J
Help please thank you
You want to use a metal bar as a resistor. Its dimensions are 1 by 3 by 13 units. To get the largest resistance from the bar, you should attach leads to the two opposite sides that have dimensions of 1 by 3 units. All configurations give the same resistance. 3 by 13 units. 1 by 13 units. None of the above.
Answer:
1 by 3 units
Explanation:
The resistance (R) of a conductor is given by the formula:
R = ρL / A
where L is the length of the conductor, ρ is resistivity and A is the cross sectional area.
Let us assume that the metal bar has a resistivity of ρ.
a) If the leads is attached to the two opposite sides that have dimensions of 1 by 3 units.
The length of the bar would be 13 units and the cross sectional area (A) would be = 1 * 3 = 3 units²
R₁ = ρL / A = ρ(13) / 3 = 13ρ / 3
b) If the leads is attached to the two opposite sides that have dimensions of 3 by 13 units.
The length of the bar would be 1 units and the cross sectional area (A) would be = 3 * 13 = 39 units²
R₂ = ρL / A = ρ(1) / 39 = ρ / 39
c) If the leads is attached to the two opposite sides that have dimensions of 1 by 13 units.
The length of the bar would be 3 units and the cross sectional area (A) would be = 1 * 13 = 13 units²
R₃ = ρL / A = ρ(3) / 13 = 3ρ / 13
Therefore we can see that the largest resistance is gotten If the leads is attached to the two opposite sides that have dimensions of 1 by 3 units
The statement "If a plant receives fertilizer,
then it will grow to be bigger than a plant
that does not receive fertilizer" is an
example of
A. an observation.
B. a hypothesis.
C. a theory.
5. If it takes 50 seconds to lift 10 Newtons of books to a height of 7 meters, calculate the power
required
Answer:
P = 1.4 Watts
Explanation:
Given that,
Weight of books, W = 10 N
It takes 50 seconds to lift the books to a height of 7m. We need to find the power required. Let the power be P. It can be done as follows :
[tex]P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{10\times 7}{50}\\\\P=1.4\ W[/tex]
So, the power required is 1.4 watts.
A cricketer lowers his hand while catching balls. Why?
Answer:
While catching a ball, a cricket player lowers his hands, because by doing so, he increases the time of catch. That is, the person increases the time to bring about a given change in momentum, and hence rate of change of momentum decreases. Thus, a small force is exerted by ball on the hands.
Explanation:
:)
Answer:
it is your answer....... if it is helpful plzz like and comment
(b) Two containers made of insulating material contain the same volume of water at room
temperature. The containers do not have lids. The volume of liquid in each container gradually
decreases.
(1) After a certain time, the temperature of the water has decreased to below room
temperature
Explain, in terms of molecules, why the temperature has decreased.
[2]
Answer:
the volume of liquid decreased due to evaporation from the exposed free surface of water so molecules got evaporated .
evaporation occurs at room temperature.
A force of 100N moves a body on a horizontal frictionless surface when......
I. Friction force exerted on the body is less than 100N
II. Friction force exerted on the body is more than 100N
III. None of these
IV. Both of I and II
Answer:
I. Friction force exerted on the body is less than 100N
Explanation:
For a body to be static, the moving force must be equal to the frictional force. Since the frictional force is a force of opposition. It tends to oppose the moving force acting on an object.
Hence if the moving force is greater than the force of friction, the Force of fiction will not be able to overcome the moving hence the body will tend to move.
Therefore, for a body to move, Fm > Ff or Ff < Ff
Fm is the moving force
Ff is the force of friction
Given
Fm = 100N
For the 100N body to move the frictional force must be less than 100N
Given the displacement vector D = (4î − 8ĵ) m, find the displacement vector R (in m) so that D + R = −3Dĵ. (Express your answer in vector form.)
Answer:
--------------------------------
Explanation:
how is sound produced by using pipel wind instruments
Answer33
Explanation
33
Which phrase best completes the diagram?
Goals of Social Policy:
Providing citizens with an education ➡️Ensuring the safety of citizens➡️?
A. Helping people who live in poverty.
B. Increasing aid to foreign countries.
The correct answer is:
A. Helping people Who live in poverty
Answer:
Did you ask the question and answer it for yourself?
Answer:
Your amazing thank you, A was right.
How do the particles move and what does this tell you about the type of wave that sound is (transferred or longitudinal )
NEED ASAP WILL MAKE BRAINIEST
Calculate the electrical force that acts on one plate of a parallel plate capacitor. The potential difference between the plates is 10 volts, and the plates are squares 20 cm on a side with a separation of 3 cm. If the plates are insulated so the charge cannot change, how much external work could be done by letting the plates come together
Answer:
The work done in bringing the plates together is 5.9 x 10⁻¹⁰ J.
Explanation:
Given;
potential difference between the plates, V = 10 V
length of each square side of the plates, L = 20 cm = 0.2 m
area of the plates, A = 0.2 x 0.2 = 0.04 m²
separation of the plates, d = 3 cm = 0.03 m
The work done in bringing the plates together is calculated as;
W = ¹/₂qV
[tex]W = \frac{1}{2} (\frac{\epsilon_0 A }{d}V) \times V\\\\W = \frac{\epsilon_0 A V^2}{2d}\\\\W = \frac{8.85 \times 10^{-12} \ \times \ 0.04\ \times \ 10^2}{2(0.03)} \\\\W = 5.9 \times 10^{-10} \ J[/tex]
Therefore, the work done in bringing the plates together is 5.9 x 10⁻¹⁰ J.
How much force is needed accelerate a 35 kg sled from 30 m/s to 65 m/s in 0.4 seconds?
Answer:
F = 3062.5 N
Explanation:
Given that,
The mass of a sled, m = 35 kg
The speed increase from 30 m/s to 65 m/s in 0.4 seconds.
We need to find the force needed to accelerate the car.
Net force is given by :
F = ma
where
a is acceleration of the car.
[tex]F=\dfrac{m(v-u)}{t}\\\\F=\dfrac{35\times (65-30)}{0.4}\\\\F=3062.5\ N[/tex]
So, the net force is 3062.5 N.
What happens in the inner ear
The inner ear has two special jobs. It changes sound waves to electrical signals (nerve impulses). This allows the brain to hear and understand sounds. The inner ear is also important for balance.
hope this helped :)
Answer:
Hope this helps ヾ(⌐■_■)ノ♪
Explanation:
Once the vibrations of the eardrum have been transmitted to the oval window, the sound waves continue their journey into the internal ear. The parts of the inner ear have very important purposes for your hearing and your balance.
.
4. What quantity of heat is required to raise the temperature of 100
grams of water from 25°C to 45°C? I
Answer:
Q = 836.4 Joules.
Explanation:
Given the following data;
Mass = 100 grams
Initial temperature = 25°C
Final temperature = 45°C
We know that the specific heat capacity of water is equal to 4.182 J/g°C.
To find the quantity of heat;
Heat capacity is given by the formula;
[tex] Q = mcdt[/tex]
Where;
Q represents the heat capacity or quantity of heat.
m represents the mass of an object.
c represents the specific heat capacity of water.
dt represents the change in temperature.
dt = T2 - T1
dt = 45 - 25
dt = 20°C
Substituting the values into the equation, we have;
[tex] Q = 100*4.182*20[/tex]
Q = 836.4 Joules.
The amount of sliding friction depends on the
a. weight of the moving object and the type of surface that the
object slides across.
b. density and volume of the object.
c. acceleration and mass of the object.
d. density and mass of the object.
*help please
Answer:
c I think so do u know the formula for friction??friction? lkke kinetic friction
The stem cell therapy is ethical?
Direction of Wave Travel
С
Which letter
correctly
identifies the
wavelength of
this wave?
А
B
A. A
B. B
C. C
Answer:
I THINK it's A but I'm not completely sure
What is picture ..........
Answer:
In its most general sense, a picture is a visual representation of something, especially in the form of a painting, drawing, photograph, or the like. A picture can also refer to a mental image, among other senses.
What does the power source in a circuit provide?
the means to break a circuit
a path along which electricity can flow
static electricity
a steady flow of electrons
plsssssssssssssssssss answer plss not in a meen way but plssss anwer correctly
Explanation:
The primary function of a power supply is to convert electric current from a source to the correct voltage, current, and frequency to power the load. As a result, power supplies are sometimes referred to as electric power converters. Some power supplies are separate standalone pieces of equipment, while others are built into the load appliances that they power. Examples of the latter include power supplies found in desktop computers and consumer electronics devices. Other functions that power supplies may perform include limiting the current drawn by the load to safe levels, shutting off the current in the event of an electrical fault, power conditioning to prevent electronic noise or voltage surges on the input from reaching the load, power-factor correction, and storing energy so it can continue to power the load in the event of a temporary interruption in the source power (uninterruptible power supply).
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What are the two main divisions
of the peripheral nervous system?
A. Muscular Nervous System, Digestive Nervous
System
B. Circulatory Nervous System, Endocrine
Nervous System
C. Somatic Nervous System, Autonomic Nervous
System
