The mass of the lighter star is 2.15 x 10³⁰ kg.
What is the mass of the light star?The mass of the lighter star is obtained by applying the formula force gravitational potential energy between the two stars.
According to Newton's law of universal gravitation, every two objects in the universe attracts each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.
U = F x r
U = Gm₁m₂/r² x r
U = Gm₁m₂/r
where;
G is universal gravitation constantm₁ is the mass of the first starm₂ is the mass of the second starr is the distance between the two starsr = 3 x 10⁸ m/s x 3.154 x 10⁷ s/yr
r = 9.46 x 10¹⁵ m
let the lighter star = m₁
then, the heavier star = 2m₁
U = (G x m₁ x 2m₁)/r
U = 2Gm₁²/r
Ur = 2Gm₁²
m₁² = Ur/2G
m₁ = √(Ur/2G)
m₁ = √(6.5 x 10³⁴ x 9.46 x 10¹⁵ / 2 x 6.626 x 10⁻¹¹)
m₁ = 2.15 x 10³⁰ kg
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How long does it take a ball to fall 75.0m? (g = -9.81 m/s²)
O 15.3 m/s²
O 3.91 s
O 15.3 s
O 3.90 m/s²
Answer:
3.91 s
Explanation:
d = -75
a = -9.81
d = 1/2 at^2
-75 = 1/2 ( -9.81) (t^2)
75 = 1/2 ( 9.81) t^2 shows t = 3.91 s
You are the commander of an exploratory mission
to a black hole. You launch a robotic probe on
a trajectory that will take it into the black hole.
The probe has an internal clock and sends a radio pulse back to your ship at a fixed interval, in
the reference frame of the probe. What effects do
you observe in the signals from the probe as it approaches the black hole? What might you observe
if the hole is rotating?
With increasingly long delays due mostly due to the increasing gravitationally time dilation affecting the probe when a trajectory that will take it into the black hole.
A black hole is a celestial object with a gravitational pull so powerful that nothing, not even light, can escape. A black hole can develop as a result of the death of a massive star. When its internal thermonuclear fuels run out at the end of its life, the center of such a star gravitationally collapses inward into itself, obliterating the star's outer layers.
The crushing weight of component matter crashing in from all directions causes the dying star to be crushed to a point with zero volume and infinite density known as the singularity. Black holes are often hard to observe directly due to their small size and the lack of any visible light from them.
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a person kicks a ball into the air with a force f0. the figure shows the position of the ball at various times. what is the net force on the ball and its acceleration at the highest point shown?
Answer:
force=mg+Fo
acceleration=0
Explanation:
URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Answer:
b
Explanation:
Because the 20kg block has a higher mass it takes more force to move it. Following Newton's first law. An object at rest wants to stay at rest and one moving wants to keep moving. Considering there's more atoms in the higher kilogram block than the smaller one more atoms would want to stay at rest therefore experience more inertia and accelerate slower.
In Connecticut, the residential electricity rates increased from 20.75 to 26.64 cents per kilowatt-hour over the last year (Source: Electricity Rates by State).
A family goes on vacation for 14 days but forgets to turn off window air conditioning that uses approximately 1,100 watts of electricity to run. If the cost of electricity is 23.75 cents per kilowatt-hour, how much does it cost to run the window air conditioning? Give the answer in $$ (not cents!)
The cost of running the window air conditioning for 14 days, given that the cost of electricity is 23.75 cents per kilowatt-hour, is $ 87.78
How do I deterrmine the cost for 14 days?We'll begin by obtaing the energy consumed by the window air conditioning for 14 days. This can be obtained as follow:
Power (P) = 1100 watts = 1100 / 1000 = 1.1 KW Time (t) = 14 days = 14 × 24 = 336 hoursEnergy (E) =?E = Pt
E = 1.1 × 336
E = 369.6 KWh
Finally, we shall determine the cost of running the window air conditioning. This is shown below:
Cost per KWh = 23.75 cents = 23.75 / 100 = $ 0.2375Energy (E) = 369.6 KWhCost of running for 14 days =?Cost = energy × Cost per KWh
Cost of running for 14 days = 369.6 × 0.2375
Cost of running for 14 days = $ 87.78
Thus, we can conclude that the cost of running for 14 days is $ 87.78
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A ladder with mass, m= 10.8 kg and length, L= 10.5 m is leaning against a frictionless wall. If the ladder makes an angle of 72 degrees with the ground, what is the horizontal force exerted by the ladder on the wall? Give the answer in newtons (N) and rounded to three significant figures.
430.9 N is the horizontal force exerted by the ladder on the wall
Torque=FLsinθ
m=10.8kg
L=10.5m
g=9.8 ms²
θ=72
Torque=FLsinθ
Torque=1111.32×sin 72
Torque=430.9 N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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Should the air temperature be less or greater than the temperature in the pool to avoid condensation in an indoor swimming pool?
The temperature in the pool to avoid condensation in an indoor swimming pool is cooler than air temperature.
Temperature :
Temperature is the degree to which an object is hot or cold.Its SI unit is kelvin (K).Humidity:
The amount of water vapour in the air is known as humidity.
The humidity will be high if there is a lot of water vapour in the atmosphere. It feels wetter outside as the humidity
In indoor pools, the relative humidity should be kept between 50 and 55 percent at a temperature of around 26 degrees in the winter and 23 degrees in the summer.
The temperature in the pool to avoid condensation in an indoor swimming pool is cooler than air temperature.
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A 1275 kg car travels 10 meters in 40 seconds. What is the car’s power?
Using velocity we will get the car’s power is 46.48 m/s.
What is velocity?
velocity is directional speed of a object in motion as an induction of it's rate of change in position observed from a particular frame of reference and as measured by a particular standard of time.
Sol- The linear momentum of a body is defined as the product of its mass and its velocity given by-
P = mv
According to the question the momentum of the truck is-
Pr=2250×25 kgm /s
Pr=56250 kgm/s
Now we can see the momentum of the car and the truck must be same that is Pc=Pr
1210×v =56250 kgm/s
v= 56250/1210
v= 46.48 m/s
Thus the velocity of the car is 46.48m/s .
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Two styrofoam balls are placed so their centers are 3.2 cm apart. The mass of one ball is twice the
mass of the other ball. The larger ball exerts a gravitational force of 2.63 X 10-12 N on the smaller ball.
Calculate the mass of each ball. (Use GUESS method.) Answer 4.49 X 10-3 kg, 8.99 X 10-3 kg
I was given the answers, I just want to know the working equation
Answer:
See below
Explanation:
Fg = G m1 m2 / r^2 Fg = force of gravity and
G, the gravitational constant = 6.6743x10^-11 m^3/(kg s^2)
m2 = 2 m1 is given, then sub in the values:
2.63 x 10^-12 = 6.6743 x 10^-11 ( m1)(2 m1) / ( .032)^2
results in 2 m1^2 = .00004035059
then m1 = .004491 kg and m2 is twice this much
mass 1 = 4.49 x 10^-3 kg as you stated
A car has a weight of 8000 N. The car is supported by four tyres.
The weight on each tyre is equal.
The area of one tyre in contact with the ground is 150 cm².
Calculate the pressure that one tyre exerts on the ground.
Show your working and give your answer in N/cm².
Answer: A
Explanation:
A 500 kg roller coaster car pauses at the top of a 40 m hill before rolling without friction to the bottom. Determine the speed of the car at the bottom of the hill
Answer:
v = 28 m/s
Explanation:
Since energy is conserved:
Eg = Ek
mgh = 1/2mv^2
masses cancel
gh = 1/2v^2
(9.8)(40) = 1/2v^2
(2)(40)(9.8) = v^2
v = sqrt(784)
v = 28 m/s
An airplane is taking off from the runway. The airplane accelerates from its initial velocity of 48 m/s and needs to be going 84 m/s in order to be able to take off. They have to take off before they reach the end of the 2965 m. Include known-unknown tables as part of your answer
A. What is the acceleration of the airplane as it heads down the runway?
B. How long does it take for the airplane to reach the end of the runway?
Answer:
A. The acceleration of the airplane is 36 m/s2.
B. It takes the airplane 82.5 seconds to reach the end of the runway.
C. The final velocity of the airplane is 84 m/s.
A scientist is measuring the height of water hyacinths on 30 ponds. How important is the degree of accuracy of the measurements he gathers? Explain your answers
The degree of accuracy is very important in the measurement of various heights of water hyacinths on ponds to limit errors from its true value.
What is the importance of degree of accuracy for measuring height of water hyacinths?The water hyacinths are a type of aquatic plants that grows in shallow ponds, marshes, small streams, lakes and rivers.
The water hyacinths are very useful to the environment as they reduce water pollution and process as animal feed, compost, and bioenergy.
During measurements in experiment, the accuracy of such measurements should be out under consideration to avoid occurrence of errors.
Although the measurement of the water hyacinth would be gotten from 30 ponds, it's necessary to prevent errors by maintaining accurate heights gotten from each pond as it would act as final value at the end of the experiment.
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A body is thrown downwards with a velocity of 10ms. Assuming the acceleration due to gravity
is 10ms calculate its displacement after 2s?
s(displacement) = 40m , when a body is thrown towards with a velocity of 10ms.
What is velocity?It can be defined as the distance covered by an object in unit time.
What is displacement?Displacement is defined to be the change in position of an object.
What is acceleration?Rate at which velocity changes with time, in terms of both speed and direction.
How to calculate displacement after 2s when initial velocity is 10ms?S = ut + 1/2 at²
where, S = displacement (m)
u = initial velocity (ms)
a = acceleration (g=10m/s²)
t = time (s)
S = 10×2 + 1/2 × 10(2)²
S = 40m
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Water flows over a waterfall 16 m high, at the rate of 3,000 × 104 kg/s. If this water powers an electric generator with a 35% efficiency, how much electric power can be supplied? Present your answer in megawatts.
The amount of electric power supplied by the water that flows over a waterfall 16 m high at the rate of 3.00×10⁴ kg/s is 1646400 W.
What is electric power?Electric power is the rate at which electric energy is consumed in an electric circuit or system.
To calculate the electric power supplied by the water, we use the formula below.
Formula:
P = 0.35M'gh.............................. Equation 1Where:
P = Electric powerM' = Falling rate of the waterg = Acceleration due to gravityh = HeightFrom the question,
Given:
M' = 3.00×10⁴ kg/sh = 16 mg = 9.8 m/s²Substitute these values into equation 1
P = 0.35×16×9.8×30000P = 1646400 WHence, the amount of electric power supplied is 1646400 W.
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If a runner maintains a constant speed of 12 km/h, how long will it take to complete a marathon race of 26.2 miles?
Answer:
below
Explanation:
First, convert 26.2 mi to km = 42.16 km
then 42.16 km / 12 km/ hr = 3.51 hr = 3 hr 30.8 m
The helicopter now starts to accelerate upwords at 2,25m.s-2. calculate the tension in the cable if the tension of the cable is 1205,4 N
Answer:
1205.4N
Explanation:
given. "if the tension of the cable is 1205.4N)
A rescue helicopter is lifting two people upwords as shown in the diagram below. The tension in the cable is 1205.4 N while the helicopter ascends at a Constant Speed ignore are resistance.
Explanation:
Let
T
be the tension of the cable and m
g
be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v
0
=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v
2
=v
0
2
+2ay leads to
a=−
2y
v
0
2
=−
2(−42m)
−12m/s
=1.71m/s
2
We now return to calculate the tension:
T=m(g+a)
=(1600kg)(9.8m/s
2
+171m/s
2
)
=1.8×10
4
N
Question 12 of 34
A water faucet has a circular handle with radius 2.5 cm attached to a central
shaft with radius 0.50 cm. What is the mechanical advantage of the faucet
handle?
OA. 0.20
OB. 1.3
OC. 5.0
OD. 2.0
Answer:
C: 5
Explanation:
MA = radius of wheel/ radius of axle
MA =2.5/0.5
MA = 5.0
positive charge Q and a particle with a negative charge -Q. What will be the direction of the electric field at point P?
The direction of the electric field at a given point is determined by the relative magnitudes and positions of the charges involved. The electric field lines always point away from positive charges and towards negative charges. The strength of the electric field is greater when the charges are closer together.
At point P, the direction of the electric field created by a positive charge Q and a particle with a negative charge -Q will depend on the relative positions of the charges. Let's consider two scenarios:
1. If the positive charge Q is closer to point P than the negative charge -Q:
In this case, the positive charge Q will exert a stronger electric field compared to the negative charge -Q at point P. The electric field vectors will point away from the positive charge Q and towards the negative charge -Q. Therefore, the overall direction of the electric field at point P will be towards the negative charge -Q.
2. If the negative charge -Q is closer to point P than the positive charge Q:
In this scenario, the negative charge -Q will exert a stronger electric field compared to the positive charge Q at point P. The electric field vectors will point away from the negative charge -Q and towards the positive charge Q. Consequently, the overall direction of the electric field at point P will be towards the positive charge Q.
It's important to note that the direction of the electric field is independent of the charge of the test particle at point P. The electric field exists irrespective of the presence of a test charge, and its direction is determined solely by the configuration and positions of the charges creating the field.
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Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is
Two microscopic bags each contain two protons. When separated by distance d, electric force on one due to the other is F. When you transfer a proton from one to another without changing anything else. The electric force now is ¾F.
What is electric force?Electric force is described as the repulsive or attractive interaction between any two charged bodies.
The electric force is one of the various forces that act on objects and has its impact and effects on the given body which is described by Newton’s laws of motion.
The electric force between two electrons is equal to the electric force between two protons when placed at equal distances and this describes that the electric force is not based on the mass of the object, but depends on the quantity known as the electric charge.
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when a roller coaster gets to the bottom of a descent, describe the energy transfers and changes to energy stores that happen if:
a) the brakes are applied
b) it goes up and over a second hill
a) At the application of the brakes, there is a conversion of kinetic to potential energy.
b) When it climbs the second hill, the kinetic energy of the roller coaster is now converted to potential energy.
What is the conservation of energy?Let us recall that according to the principle of the conservation of energy, energy can neither be created nor destroyed but it can be transformed from one form to another. In the roller coaster, we can see the principle of energy transformation at work. This is one of the easiest ways that we could use to be able to describe the conservation of energy.
When a break has been applied in the roller coaster, there is a consversion of energy from kinetic energy to potential energy. Recall that the kinetic energy has to do with the energy that is in motion. This is converted to the potential energy of a stationary roller coaster.
Again when the roller coaster goes up a second hill, there is a change from kinetic to potential energy that the roller coaster would possess at the top of the hill.
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Monkey Joe is trying to prove how strong he is by pulling a 5000 kg truck. He applies a force of 6000N at an angle of 30 below the horizontal. The coefficient of kinetic friction is 0.01.
Then I need help with all the parts to the question seen in the picture.
(h) The net force equation for y-direction is F(net)_y = F sinθ
(i) The normal force acting on the truck is 490,000 N.
(j) The force of friction acting on the truck is 490 N.
(k) The net force equation for the x - direction is F(net)_x = Fcosθ - Ff.
(l) The acceleration of the truck is 0.94 m/s².
What is free body diagram?A free body diagram (FBD) is a sketch of all the forces acting on object, indicating the direction of the applied force.
↑ N
Ff → Ф ← F
↓W
where;
N is the normal force on the blockW is the weight of the blockFf is the force of frictionF is the applied forceThe net force equation for y-direction is calculated as follows;
F(net)_y = F sinθ
The normal force acting on the truck is calculated as follows;
Fn = mg
where;
Fn is the normal force on the truck acting upwardsm is mass of the truckg is acceleration due to gravityFn = 5000 x 9.8
Fn = 49,000 N
The force of friction acting on the truck is calculated as follows;
Ff = μFn
where;
μ is coefficient of frictionFn is normal forceFf = 0.01 x 49,000 N
Ff = 490 N
The net force equation for the x - direction is written as;
F(net)_x = Fcosθ - Ff
where;
F cosθ is the force applied along the x-directionFf is force of frictionF(net) = 6000 x cos(30) - 490
F(net) = 4,706.15 N
The acceleration of the truck in the sleeping bag is calculated as follows;
a = F(net) / m
a = (4,706.15) / (5000)
a = 0.94 m/s²
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help please
Review the statements below. Select the one that best describes the difference between astronomy and cosmology.
A) Astronomy is a much broader study of the universe as a whole, while cosmology is a more focused study on specific objects or celestial bodies contained within the universe.
B) Astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end.
C) Astronomy is a branch of science that focuses on the beginning, middle, and end of the universe. Cosmology is the study of how objects move, interact, and change.
D) Astronomy is the study of space in general through the use of telescopes and other tools, while cosmology is the study of specific objects in space.
The statement that best describes what astronomy and cosmology is the option B. That says that astronomy study objects of the universe and cosmology study the entire universe.
What is astronomy and cosmology?Astronomy is that science that will study the celestial bodies found in the universe such as stars, planets, asteroids, among others. He will study more specifically the components of the universe. While cosmology studies the universe as a whole and its origin, it will study theories such as the big bang theory.
Therefore, we can confirm that the statement that best describes the difference between astronomy and cosmology is that astronomy is the study of objects in the universe—how they are formed, their composition, and how they change over time. Cosmology is the study of the entire universe—what objects are contained in the universe, and what is happening to the universe over time, including how it may or may not end. So the correct option is B.
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Answer:
option B.
Explanation:
when 2cm tall object is placed in front of converging lens,0.5 cm long real image is formed 11cm away from object find its focal length
The focal length of the lens is 14.67 cm.
The focal length of an optical device is a measure of how strongly the machine converges or diverges mildly; it's miles the inverse of the system's optical electricity. A wonderful focal length suggests that a system converges mildly, while a negative focal duration shows that the system diverges mildly.
Calculation:-
himage/h object = f-v/f
0.5/2 = f - 11/f
0.25f = f - 11
11 = f - 0.25f
11 = 0.75f
f = 11/0.75
f = 14.67 cm
The focal length ( f ) is the gap from a lens or reflects the point of interest ( F ). this is the distance from a lens or replicates at which parallel mild rays will meet. The focal period of (left) a concave lens (with a negative focal length), (middle) a convex lens and. (right) a concave replicate.
The distance from the center of the lens to the photo focal factor (=image sensor floor) is referred to as the focal period. Its miles are expressed in millimeter (mm) gadgets. A lens with a brief focal duration is an extensive-perspective lens and one with a protracted focal length is a telephoto lens.
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A plane flies along a straight line path after taking off, and it ends up 190 km farther east and 80.0 km farther north, relative to where it
started. What is the plane's displacement?
O 141 km
O 210 km
O 270 km
O 110 km
1 2 3 4 5 6 7 8 9 10
Next ▸
The plane has a 210km displacement value.
The ideal answer is B.
How far is the plane moving?A plane flies straight after takeoff and ends up 190 km to the east and 800.0 km to the north of where it started.
We should use Pythagoras' Theorem to solve this problem.
Distance 2 is calculated as 190^2 + 80^ = 210 km.
which, when rounded, is equivalent to 210 kilometers.
190^2 + 80.0^2 = 45000
√45000
210KM
The displacement of the plane is 210 kilometers.
An object's positional change is referred to as "displacement." It possesses a magnitude and direction as a vector quantity. It is represented by an arrow that leads from the starting point to the destination. An object's position changes, for example, if it moves from position A to position B.
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A weight suspended from a spring is seen to bob up and down over a total distance of 14 centimeters triply each second.
8. What is the frequency?
9. What is the period?
10. What is the amplitude?
8. The frequency of the weight suspended from a spring.is 2Hz.
9. The period is 0.5 seconds.
10. The amplitude is 14cm
What is frequency?Frequency simply means the number of oscillation in a unit time. It is the rate at which something repeats itself in a second.
In this case, the spring bob up and down 2 times per second. Therefore, Frequency = 2 Hz
The period is the time taken to complete one oscillation. 2 oscillations takes 1 second
1 oscillation = 1/2 seconds.
Period = 0.5 seconds
Amplitude is the the maximum displacement of the spring. In this case the spring bob up 14 cm. This is it's displacement.
Amplitude = 14 cm
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A car accelerates from rest to 28 m/s in 3.5 seconds. What’s the acceleration
The maximum force that wire A can withstand without breaking is 2000 N. Wire B is made of the same material as wire A but has twice the diameter.
What is the maximum force that wire B can withstand?
The maximum force that wire B can withstand is same as A.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The gravitational constant, denoted by the capital letter G, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's theory of general relativity.
For wire diameter do not effect the force it can withhold so, A and B and have same force 2000 N.
The maximum force that wire B can withstand is same as A.
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A customer enters a grocery store with an empty shopping cart that has a mass of 20 kg. Another customer is leaving the store with a shopping
cart full of groceries that has a mass of 40 kg. The two customers accidentally bump their carts together.
Explain whether you agree or disagree with Eve's Mypothesis. Use Newton's third law of motion to support your answer.
Eve observes the accident. She hypothesizes that the cart full of groceries applied more force to the empty cart than the empty cart applied to the
full cart.
We disagree with Eve's hypothesis that the cart full of groceries applies more force to the empty cart than the empty cart applies on the cart with groceries.
Mass of empty shopping cart = 20 Kg
Mass of cart full of groceries = 40 Kg
Newton's third law of motion states that each action has equal and opposite reaction. Thus, if empty cart exerts a force on the cart full of groceries, then the cart full of groceries should exert same amount of force on the empty cart when two customers accidently bump their carts. Hence, Eve's hypothesis is opposite to Newton's third law of motion.
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