The distance of this star in kilometers is equal to 5.64 × 10¹⁸ kilometers. Also, the distance of this star in light-years is equal to 626.67 light-years.
How to calculate the distance of light?Mathematically, the inverse square law for light can be used for calculating its luminosity at a distance by using this mathematical expression:
d = √(L/4πF)
Where:
d represents the distance of light.L represents the luminosity of light.F represents the apparent brightness of light.Substituting the given parameters into the formula, we have;
Distance in kilometers, d = √(6.0 × 10²⁶/4 × 3.142 × 1.5 × 10⁻¹²)
Distance in kilometers, d = √(6.0 × 10²⁶/1.885 × 10⁻¹¹)
Distance in kilometers, d = √3.183 × 10³⁷
Distance in kilometers, d = 5.64 × 10¹⁸ kilometers.
For the distance in light-years, we would divide the distance in kilometers by 9.0 × 10⁻¹⁵:
Distance in light-years = 5.64 × 10¹⁸/9.0 × 10¹⁵
Distance in light-years = 626.67 light-years.
Read more on distance in light-years here: https://brainly.com/question/1302132
#SPJ1
7. Daniel is fishing the canals and hooks a 2 kg peacock bass. Daniel exerts a 50 N
force on the fish to the left and the fish exerts an unknown amount of force in the
opposite direction. If the fish accelerates 2 m/s² towards Daniel, what is the
amount of force the fish is exerting?
Ans:
4. A 0.7 kg object has a momentum of 15 kg m/s. What is the object's speed?
Answer:
21.4 m/s
Explanation:
Momentum = m * v
15 kg m/s = .7 * v
v = 15/.7 = 21.4 m/s
A box is dropped out of a moving airplane. The airplane is traveling at 50 m/s
East. The box is dropped from rest with respect to the airplane. The box travels a
vertical distance of 40 m before landing on a trampoline. The airplane continues
traveling at a constant speed after the box is dropped and the wind resistance on
the falling box is negligible.
Choose the option that correctly identifies the missing terms, in order of their
appearance in the sentences.
The box has an initial horizontal velocity of
of
m/s. The box takes
seconds to reach the ground. The box experiences an acceleration
m/s2. The box will land directly
the airplane.
The options that correctly identifies the missing terms, in order of their
appearance in the sentences are as follows:
The box has an initial horizontal velocity of 50m/s.The box takes 2.86 seconds to reach the ground.The box experiences an acceleration of 9.8 m/s².The box will land directly 143 m from the airplane.What is the initial horizontal velocity of the box dropped from the airplane?The initial horizontal velocity of the box dropped from the airplane is equal to the horizontal velocity of the airplane.
The velocity of the airplane is 50 m/s
Hence, the horizontal velocity of the box is also 50m/s.
The box falls freely under the effect of gravity. Hence, the acceleration in the vertical direction will be equal to the acceleration due to gravity.
The time taken by the box to reach the ground is calculated from the formula below as follows:
t = √(2h/g)
where;
t is the time taken to reach the ground
h is the vertical height above the ground = 40 m
g is the acceleration due to gravity = 9.8 m/s²
t = √(2 * 40 / 9.8)
t = 2.86 seconds
The horizontal distance traveled by the box = 2.86 s * 50 m/s
The horizontal distance traveled by the box = 143 m
Learn more about free fall at: https://brainly.com/question/11257529
#SPJ1
Which force causes motion?
Motion is caused due to external Force.
The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.
The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.
When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.
To learn more about electromagnetic force visit:https://brainly.com/question/13191643
#SPJ9
5. A force of 3.5 N applied to an object for 0.15 seconds increases the object's velocity by 2.0 m/s. What is the
mass of the object?
The estimated value of mass is 0.2625066 units
Given , Force =3.5N , time=0.15sec =15/100 sec
Velocity=2 m/s, mass =?
In Physics Acceleration means rate of change of velocity, i.e. Mathematically, a= v/t
a= 2/0.15
a=200/15= 13.333m/s²
In Physics Force means product of mass and acceleration i.e. F=ma
From this equation we can deduce the value of mass of the object.
3.5N= m [13.333]
m=3.5/13.333
m= 0.2625066
Hence forth in this way the value of mass is computed.
To understand more about mass - https://brainly.com/question/19027677
#SPJ1
A cannon fires a cannon ball vertically into the air. Find the initial velocity if the cannon ball reached the height of 4.75 meters
The initial velocity of the cannon ball when it reached a height of 4.75 m is 9.65 m/s.
Velocity- The rate of change of displacement is the definition of velocity.
The formula below is used to determine the cannon ball's initial velocity.
Formula:
v² = u²+2gH......... Equation 1
Where:
v = Final velocity
u = Initial velocity
H = Height
g = Acceleration due to gravity.
From the question,
Given:
v = 0 m/s (At the maximum height)
H = 4.75 m
g = 9.8 m/s
Substitute these values into equation 1
0² = u²+2×9.8×4.75
u² = 93.1
u = √(93.1)
u = 9.65 m/s
Hence, the initial velocity of the cannonball is 9.65 m/s.
Know more about velocity at:
brainly.com/question/24739297
If the maximum tension the rope can with- stand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
Answer in units of m/s.
The Maximum tangential speed the ball can have would be = 5.3m/s.
What is tangential speed?A tangential speed is defined as the speed of an object that has an angular velocity with respect to an instantaneous velocity.
The formula used to calculate the maximum tension;
T = mv²/r
Where T = Maximum tension = 132.3N
M = mass= 4kg
r = radius = 0.86m
V= tangential speed = x
Make v the subject of formula;
V = √Tr/m
V = √ 132.3 × 0.86/4
V = √113.778/4
V= √28.4445
V = 5.3 m/s.
Learn more about speed here:
https://brainly.com/question/24739297
#SPJ1
Complete question:
An athlete swings a 4.00 kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.860 m at an angular speed of 0.660 rev/s. If the maximum tension the rope can withstand before breaking is 132.3 N, what is the maximum tangential speed the ball can have?
particle that is not considered part of an element’s atomic mass?
Answer:
Electrons.
Explanation:
Neutrons are neutral particles found in the nucleus. The atomic mass is calculated using the protons and neutrons but not the electrons, as their mass is negligible. In an example, the element oxygen has an atomic number of 8 and an atomic mass of 16.
The number of protons, neutrons, and electrons determines all of the
_____ of that atom.
When u combine two or more atoms of different elements, u make an_
Answer: *a molecule.
Explanation: A molecule is the combination of two or more atoms
Mars had an orbital period of 1.88 years. In two or more complete sentences,explain how to calculate the average distance from mars to the sun, then calculate it
The average distance from mars to the sun if Mars had an orbital period of 1.88 years is 2.27 * [tex]10^{8}[/tex] km
P² = a³
P = Orbital period
a = Average distance
P = 1.88 years
a³ = 1.88²
a³ = 3.53
a = 1.52 AU
a = 1.52 * 1.496 * [tex]10^{8}[/tex] km
a = 2.27 * [tex]10^{8}[/tex] km
The formula used to solve the given problem is derived from Kepler's third law of planetary motion. AU is the abbreviated from of Astronomical unit. 1 AU = 1.496 * [tex]10^{8}[/tex] km
Therefore, the average distance from mars to the sun is 2.27 * [tex]10^{8}[/tex] km
To know more about Kepler's third law
https://brainly.com/question/28901990
#SPJ9
A ball rolls down a hill with a constant acceleration of 2 m/. The ball starts at rest and
travels for 4.0 s before it stops
2.-What was the ball's velocity just before it stopped?
a) 2.0 m/s.
b) 8.0 m/s
c)12 m/s
d) 16 m/s
According to the given statement The ball's velocity just before it stopped was 8.0 m/s.
The correct option is B.
What is acceleration?The rate at which velocity and speed change over time is referred to as acceleration. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Even if the speed remains constant, moving in a circle quickens because the direction is always changing.
Is acceleration a speed?A increase in an object's orientation or speed is referred to as acceleration. Acceleration is the term for the pace at which speed changes. Don't forget that velocity is made up of two components: direction and speed.
Briefing:The definition of acceleration comes first
a = v[tex]_f[/tex] - v[tex]_o[/tex] /t
2 = v[tex]_f[/tex]- 0/4
v[tex]_f[/tex]= 8 m/s
After 4 seconds, the ball will be moving at a speed of 8 m/s.
To know more about Acceleration visit:
https://brainly.com/question/12550364
#SPJ13
An iron battleship is very heavy. How is it able to float?
A series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 to
a battery. What is the total equivalent resistance?
The total equivalent resistance of the circuit which consists of 4 resistors ( 1202, 180, 320 and 3802 ) connected in series is 50.1 KΩ
Resistance of resistor,
1202 = 12 KΩ180 = 18 Ω320 = 32 Ω3802 = 38 KΩTotal equivalent resistance, R = R1 + R2 + R3 + R4
R = 12000 + 18 + 32 + 38000
R = 50.1 KΩ
Equivalent resistance is a another way of indicating total resistance. The equivalent resistance will be of a single resistor that replaces the total network without altering any effect on the system.
Therefore, the total equivalent resistance of a series circuit consists of 4 resistors connected in series: 1202, 180, 320, and a 3802 is 50.1 KΩ
To know more about total equivalent resistance
https://brainly.com/question/28258048
#SPJ1
A car increases its velocity from 0m/s to 14 m/s in 2 seconds
answer -
7 m/s^2
Explanation:
it goes 7m/s 14 / 2 = 7
A horizontal line on a velocity/time graph shows ____ acceleration.
Question 9 options:
positive
negative
changing
zero
A circuit that has only one branch for electrons to follow is a(n) ____.
Question 1 options:
circuit diagram
electron circuit
parallel circuit
series circuit
Answer: series circuit
Explanation:
First 2 answers are garbage. In Parallel circuits electrons have 2 or more paths to follow. In Series circuits, there is only one path.
A cylinder is rolling along the ground at 2m/s . It comes to a hill and starts going up.Assuming no losses to friction, how high does it get before it stops
The maximum height reached by the cylinder at the given initial velocity is 0.2 m.
What is the maximum height travelled by the cylinder?
The maximum height travelled by the cylinder is calculated by applying the following kinematic equation as shown below.
v² = u² - 2gh
where;
u is the initial velocity of the cylinderv is the final velocity of the cylinder at the maximum heighth is the maximum height travelled by the cylinderg is acceleration due to gravityAt maximum height, the final velocity of the cylinder = 0
v² = u² - 2gh
0 = u² - 2gh
2gh = u²
h = u²/2g
h = (2²) / (2 x 9.8)
h = 0.2 m
Learn more about maximum height here: https://brainly.com/question/12446886
#SPJ1
Suppose a woman wearing high-heeled shoes has a mass of 20 kg the area of each shoe is 10 cm2. How much pressure does she exert on the ground with both feet or with one foot? Explain your reasoning
She will exert a pressure of 20N/m² for one foot. For both feet 40N/m². The reason is that pressure increases with an increase in force. pressure and decreases within the area.
What is Pressure?
This is the force acting per unit area. It can be calculated using the formula
P=F/A or P= mg/A
Where m = mass of the object
g = acceleration due to gravity
A = area.
From the question given:
m =20kg
A =10cm²
Applying the above formula,
P= (20*10)/10
P=20N/m²
Hence, the pressure exerted by the two feet will be 20+20= 40N/m²
Learn more about pressure on
https://brainly.com/question/12414404
#SPJ1
What should your guide hand (non shooting hand) do when you shoot a ball?
You are holding a small helium balloon. Your friend says that the buoyant force from the atmosphere is greater on her car than your balloon. Is she correct? Explain your answer.
Buoyant force from the atmosphere is greater on her car than the balloon is a correct statement
buoyant force = - rho * g * V
where
rho = fluid density or in our case air density
g = acceleration due to gravity
V = volume of displaced liquid or volume of displaced air
volume of displaced air is more in the case of car as compared to balloon because car has larger volume then balloon .
and volume displaced is directly proportional to the buoyant force , hence buoyant force from the atmosphere is greater on her car than the balloon is a correct statement .
To learn more about buoyant force here :
https://brainly.com/question/21990136
#SPJ1
A child can throw a baseball at 20 mph. Some professional ball players can throw a baseball at 100 mph, which is five times as fast. How much more energy does the pro ball player give to the faster ball?
The ball is 25 times more energetic when it is thrown by the professional then when it is thrown by the child.
What is the ratio of the energy?Basically we ought to be reminded that the kinetic energy of the object is the energy that is possessed by the object by virtue of the fact that the object is in motion.
We have to recall that the kinetic energy is given by;
KE = 1/2 mv^2
m = mass of the object
v = velocity of the object
Since the mass of the object is held the same let us take note of the speed with which the ball is thrown by the student and the professional respectively
Speed of the student = 20 mph or 8.9 m/s
Speed of the professional = 100 mph or 44.7 m/s
Energy of the ball by the student = 0.5 * m * (8.9)^2
Energy of the ball by the professional = 0.5 * m * (44.7)^2
We now have;
0.5 * m * (44.7)^2/0.5 * m * (8.9)^2
25 times
Learn more about kinetic energy:https://brainly.com/question/12669551
#SPJ1
In the winter, an animals fur provides warmth through which method?
A. Conduction
B. Convection
C. Radiation
In the winter, an animals fur provides warmth through Conduction.
What is conduction?
One of the three main ways that heat energy moves from one place to another is conduction. The other two ways heat moves are through radiation and convection. Thermal energy is transferred through conduction when nearby atoms or molecules collide. Because the particles in solids and liquids are closer together than they are in gases, conduction occurs more readily. The rate of energy transfer besides conduction is faster when there is a significant temperature difference between the materials in contact. Thermal energy is transferred from a lower kinetic energy area to a higher kinetic energy area. The kinetic energy of slow-moving particles increases when they collide with fast-moving particles. This is a typical instance of heat transfer through physical contact.
Learn more about conduction from given link
https://brainly.com/question/893656
#SPJ1
In each of three trials of an investigation, a single force is applied to a mobile. Each time, the mobile acquires a different acceleration. The table shows the relationship between the acceleration and the acting force.
Which phrase best describes a graph that would represent the relationship shown in the table?
O a downward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
B) a downward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
C) an upward-sloping line drawn on a graph with acceleration shown on the x-axis and force shown on the y-axis
D) an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis
The best representation of the graph is an upward-sloping line drawn on a graph with acceleration shown on the y-axis and force shown on the x-axis. Option D
What is the relationship between the force and the acceleration?
We know that there is a direct relationship between the force and the acceleration of the object. According to the Newton second law, when force is applied to an object. The object would acquire an acceleration. In order words, the force that acts on the body is able to increase the speed of the object.
If we look at the table that was shown in the question that we have attached here, you would notice that as the force that acted on the object was increased, there was a commensurate increase in the acceleration of the object as seen.
This goes on to buttress that the relationship between the force and the accaleration is a direct relationship. This also tell us that we will have a graph that runs upwards and not downwards!
Learn more about acceleration:https://brainly.com/question/12550364
#SPJ1
Calculate the force of gravity on the 1.4-kg mass if it were 1.3x107 m above Earth's surface (that
is, if it were three Earth radii from Earth's center).
The gravitational force acting on the 1.4 kg mass at 1.3 x 107 m above the Earth's surface
What makes gravity a force, exactly?However, gravity is a force in the broadest sense since it characterizes the resulting interaction between two masses. The warping of spacetime and the motion of objects thru the stretched spacetime are the main causes of gravitational effects. However, the result seems to be the effect of using force.
Why does gravity not have more force?According to string theory, the universe must include at least four additional spatial dimensions in addition to the three that we can now perceive. Gravity is so weak, say the best theories of string theory.
To know more about gravity visit:
https://brainly.com/question/9722860
#SPJ13
A wave on a rope is shown in the diagram. In the diagram, d = 3 m.
(a) What is the wavelength of this wave?
(b) If the frequency is 5 Hz, what is the speed of the wave?
The wavelength of the wave is 3m and the speed of the wave is 15 m/s
What is a wave?We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.
Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.
Again we have;
v = λf
v = speed of the wave
f = frequency of the wave
λ = wavelength of the wave
Then;
v = 3 m * 5 Hz
= 15 m/s
Thus the wave speed is obtained as 15 m/s.
Learn more about speed of the wave:https://brainly.com/question/28446485
#SPJ1
URGENTTTTT HELP ME
Referring to the graph in the section header, what was his displacement between 100 and 300 seconds?
Question 2 options:
Question 3 (2 points)
Referring to the graph in the section header, what was the runner's velocity during segment D?
Answer:
V = (S2 - S1) / t = (750 - 500) m / (300 - 100) s = 1.25 m/s
Likewise during segment (D)
V = (0 - 750) m / (500 - 300) s = -3.75 m/s
Determine the net capacitance C of each network of capacitors shown below. Assume that C1=1.0pF, C2=2.0pF, C3=4.0pF, and C4=5.0pF
The net capacitance C of each network of capacitors is 7.33 pF.
What is the net capacitance of series capacitors?The net capacitance of a circuit containing capacitors arranged in series to one another is the reciprocal sum of the individual capacitance.
Mathematically, this capacitance is given as;
1/Ct = 1/C₁ + 1/C₂ + 1/C₃ + 1/C₄ + 1/C₅
where;
Ct is the net capacitance C is the individual capacitanceThe capacitance of capacitors arranged in parallel to one another, the net capacitance is the sum of the individual capacitors.
Ct = C₁ + C₂ + C₃ + C₄ + C₅
In the given circuit, the net capacitance is calculated as follows;
C₂ and C₃ are in series to one another, the net capacitance of these two is calculated as;
1/Ct = 1/C₂ + 1/C₃
1/Ct = 1/2 + 1/4
1/Ct = 3/4
Ct = 4/3 pF
Ct = 1.33 pF
Combining the whole capacitors in the circuit, C₂, C₃ are in parallel with C₁ and C₄
Ct = 1.33 pF + C₁ + C₄
Ct = 1.33 pF + 1 pF + 5 pF
Ct = 7.33 pF
Learn more about net capacitance here: https://brainly.com/question/27753307
#SPJ1
In an arcade game a 0.097 kg disk is shot
across a frictionless horizontal surface by compressing it against a spring and releasing it.
If the spring has a spring constant of
166 N/m and is compressed from its equilibrium position by 5 cm, find the speed with
which the disk slides across the surface.
Answer:
Explanation:
Mass of disk = 0.14 kgSpring constant = 155 N/mLength = 4 cmWe need to calculate the speed Using energy conservationWhere, k = spring constantx = compressed lengthm = mass of the discPut the value into the formulaHence, The speed with which the disk slides across the surface is 1.33095 m/s.
aball is through horizontal From The top at buiding the ball lands I00m for building and It takes 4 Second For It to hit The ground Find: A, The Inital horizontal componet OF Velocity
A ball is through horizontal From The top at building the ball lands I00m for building and It takes 4 Second For It to hit The ground . The Initial horizontal component of Velocity will be 25 m/s
using kinematic equation
s = u t + 1/2 a [tex]t^{2}[/tex]
since , there is no acceleration in horizontal direction
s = u(x) t + 0
100 = u (x) * 4
u(x) = 100 / 4
= 25 m/s
The Initial horizontal component of Velocity will be 25 m/s
To learn more about kinematic equation here :
https://brainly.com/question/28712225
#SPJ1
