If the mass of one object is doubled and the mass of the other object is tripled and the separation distance between the objects' centers is doubled, then the new force of gravitational attraction would be 210 units.
What is the gravitational force between two objects?
The gravitational force of attraction between two objects in the universe is directly proportional to the product of masses of the object and inversely proportional to the square of the distance between the objects.
F = Gm₁m₂/r²
where;
m₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the objectsG is the universal gravitation constantwhen mass of one object is doubled and the mass of the other object is tripled, we will have;
F' = G(2m₁ x 3m₂)/r²
Also when separation distance between the objects' centers is doubled, the new force of gravitational attraction becomes;
F' = G(2m₁ x 3m₂)/(2r)²
F' = G(2m₁ x 3m₂)/(4r²)
F' = 6/4 (Gm₁m₂/r²)
F' = 6/4 (F)
F' = 6/4 (140 units)
F' = 210 units
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X and Y starts from point A. X starts running through AB and reach point B. Y also starts running through path ABC and reach B at the same time as A. The situation is depicted in the below figure . Which of the following is/are true for the given situation.
(a) B covers longer distance but with a lower speed.
(b) A covers shorter distance with a higher speed
(c) A covers shorter distance with a lower speed.
(d) B covers longer distance with a higher speed.
The following statement(s) is/are true for the current situation: B travels farther but at a slower speed.
What are the 4 different kinds of running?Base Run You are probably already performing a base run when you go for a run. Tempo Running. Speed running, often known as sprinting, is when you run continuously at a fast speed for a brief period of time. Run in intervals
What results do 30 minutes of running have?Limiting your run to 30 minutes lowers the possibility of damage by reducing the chance of muscular weariness or overstretching. Additionally, recovery time is much shorter than it is for longer distance runs, allowing you to exercise more regularly and consistently.
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Why do organisms make different proteins? The Darwin’s bark spider on the left makes proteins that result in spider silk with high flexibility. The Darwin’s bark spider on the right makes proteins that result in spider silk with low flexibility. Using the space below, explain why you think this happens.
Organisms make different proteins because of the gene recombination and genetics.
What is the genetics of spider silk?Siblings may inherit various features from their parents and from each other depending on the specific gene combinations that each seeds carries. The variance in silk inflexibility among spider seed is explained by random gene recombination.
The inflexibility of silk is another issue. This point is shared by all of Darwin's dinghy spiders (they all have spider silk with some flexibility), yet some spiders create silk that is more flexible than other spiders' silk. There are three levels of silk inflexibility: high, medium, and low.
The above explanation about the genetic recombination tells about why the organisms make different proteins.
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what initial speed must an alpha particle have to just touch the surface of a gold nucleus before being turned back? assume the nucleus stays at rest.
Since the closest approach distance is 39.5 fermi, the initial speed is in a head-on collisions between an alpha particle and a gold nucleus (Z=79).
What is alpha?The Greek alphabet begins with the letter alpha. Its value is one in the Greek number system. The word "ox" in the West Semitic language, aleph, is derived from the Phoenician letter alpha. The Latin letter A and the Cyrillic letter A are examples of letters that evolved from alpha.
In physics, alpha is a variable that is used for numbers that could be different from one another. Some examples of quantities using are: An isotope of helium, the alpha particle is made up of two protons and two neutrons. kg is the unit of mass. A metre is a unit of length, and a second is a unit of time.
Why do we use alpha and beta and how it is calculated?The two components of a formula used to describe the results of stocks & investment funds are alpha and beta. Beta is a metric for comparing volatility to a benchmark, like the S&P 500. After controlling for erratic variations and market-related volatility, alpha seems to be the return rate on an investment.
Rf - beta - Rf = alpha (Rm-Rf)
R is a symbol for portfolio return. The risk-free return rate is denoted by Rf. The systematic risk of the a portfolio is represented by beta. According to a benchmark, Rm stands for the market return.
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for a spacecraft operations for a several year long mission to the outer solar system, i should use:
Long-duration spacecraft use the potent rocket fuel LOX + LH as a propellant. The spacecraft's long-term survival in the outer solar system is ensured by the use of this propellant.
To be utilized on commercial space launch vehicles is the propellant Lox/LH2. For massive space rockets, liquid oxygen was the first, least expensive, safest, and ultimately favoured oxidizer. Its fundamental flaw is that it is only mildly cryogenic, making it unsuitable for military applications where speedy launch and storage of the missile's fuel are essential. All the top rocket thinkers agreed that liquid hydrogen was the theoretically ideal rocket fuel.
LH2 and LOX are fed into each engine's combustion chamber after being placed in the tanks and when the launch countdown approaches zero. When the propellant is lit, the hydrogen and oxygen react violently to create: water
O2 + 2H2 = 2H2O + Energy
Superheated water and enormous quantities of energy are released in this "green" process (steam). The water vapour expands and leaves the engine nozzles at speeds of 10,000 mph due to the hydrogen-oxygen reaction's intense heat.
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A wave is moving toward shore with a velocity of 6 m/s. If its frequency is 3 hertz, what is its wavelength? O 2 meters O2 meters/sec O 18 meters O 18 meters/sec
The wavelength is 3.975 × 10^-19 J.
What is wavelength?Wavelength can be difined as the distance between two successive crests or throughs of a wave.
To find out the energy in joules given the wavelength of a photon we have to Use the Planck's equation E = h x c / λ and substitute the values of the wavelength (λ), Planck's constant in joules (h = 6.6261 × 10⁻³⁴ J⋅s), and speed of light (c = 299792458 m/s). With these units, you'll get an energy result in joules (J).
Energy of photons,
E = hc/λ
(6.626 × 10-34Js) × (3 × 108ms-¹)/
5 x 10-7
= 3.975 × 10^-19 J
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A roller-coaster goes over a 12 m tall hill then approaches a 30 m hill. What is the minimum velocity the roller-coaster would need when going over the 12 m hill to make it to the top of the 30 m hill?
254.8 m/s
15.96 m/s
Not enough information to answer
18.78 m/s
The minimum velocity the roller-coaster need when going over the 12 m to make it to the top of the 30 m hill is equal to 18.78 m/s. Therefore, option (D) is correct.
What is the law of conservation of energy?Energy can be transformed from one to another but can neither be created nor destroyed. Energy is present in nature in several forms such as heat, nuclear energy, electricity, chemical energy, and so on.
If every form of energy is considered, then the total energy of an isolated system remains constant. This law of energy applies to all types of energy in our universe.
From the law of conservation of energy, the energy of the roller-coaster goes:
[tex]{\displaystyle \frac{1}{2} mv^2 +mgh_1 = mgh_2[/tex]
Given the height of the first hill, h₁ = 12m
The height of the second hill, h₂ = 30 m
The gravitational acceleration, g = 9.8 m/s²
We can find the value of the minimum velocity of the roller-coaster from the above equation:
[tex]{\displaystyle \frac{1}{2} v^2 +gh_1 = gh_2[/tex]
0.5 × v² + (9.8) × 12 = (9.8) × 30
0.5 v² = 176.6
v = 18.78 m/s
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You need to get to the post office, 200 meters away, and you can walk at about 2.5 m/s. How much time will it take to get to the post office?
Which condition would exist for the length of day and night to be equal all year long
Answer:
the Equionox
Explanation:
there are only teo times of the year when the earths axis
is tilted neither toward nor away from the sun, resulting on a nearly equal amount of daylight and darkness at all latitudes. these events are referred to as equionoxes
A car traveling at 70 m/s comes to a complete stop in a time of 50 sec. What is the car's acceleration?
-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec.
v=u+at in this v= final velocity u= initial velocity , a = acceleration of the car and t= time
initial velocity of car u= 70m/s
final velocity of the car is v= 0 m/s after stop the car is in rest position
time t =50s, now substitute these values in equation
0=70+a(50) which is -1.4 m/s².
here we got the answer in negative acceleration. Which is called as Deceleration.
Hence-1.4m/s² is the negative acceleration when the car completely stops in a time of 50sec
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a jet is flying in a direction 30o north of east with a speed of 430 mph. what are the north and east components of its velocity?
Both of the Northward and also the Eastward components of a velocity will be equal.
What is the straightforward meaning of velocity?The displacement that such an object as well as particle experiences with regards to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of flow speed (also known as speed).
What are the SI unit and velocity formula?The entire displacement of objects divided by the overall time elapsed gives the object's average velocity. It is supplied by. Average velocity is calculated as total displacement divided by time. M s-1, or m/s, is the SI unit for average velocity. M L T-1 provides the volumetric formula for the same.
Briefing:That jet is traveling at 430 mph at the an angle of 30 degrees to a north, therefore,
xj = (430 mph) sin 30 = 215 mph
yj = (430 mph) cos 30 = 372 mph
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a) Calculate the percent efficiency for an electric motor that uses 15 000 J of energy to produce 11 500 J of energy. How much waste is produced?
Answer:
76.67% efficient
Explanation:
11500/15000*100
how are the waves generated in the spectrum
stars with more than 15 times the mass of our sun usually evolve from the main sequence to red giants
Stars with a mass greater than 15 times that of the sun typically transition directly from the hr diagram to the red giant stage while maintaining a nearly constant luminosity.
Constant means what?A quantity that is supposed not to shift value in a particular mathematical debate is one that has a specific amount in a specific context, is true globally, or is a feature of some material or instrument.
What symbol represents a constant?A digit (0–9) or a period serves as the initial of a constant sign. A constant symbol's value cannot be altered. It is merely the string made up of the symbol's characters, all lowercase alphabetic characters having been converted to uppercase.
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An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.
The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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I’m so confused about this question. Could anyone pleease explain to me how to solve these kinds of questions?
Answer: 3.3m/s
Explanation:
kinetic energy=0.5*m*v^2
5.0m/s(^-1)=0.2
0.2^2=0.04
0.5*5000kg*0.04m/s=100J
0.5*2500kg*v^2=100J
Rearrange the equation:
100/0.5*2500=v^2
0.08=v^2
√0.08=v^2
0.28=v
Combined velocity= 1st lorry+2nd lorry=3.3m/s
Use Q=mCΔt : PCl3 is a compound used to manufacture pesticides. A reaction requires that 96.7 g of PCl3 be raised from 31.7 oC to 69.2 oC. How much energy will this require given that the specific heat of PCl3 is 0.874 J/g oC? Please explain fully . Im trying to understand this
The quantity of heat required is 1229.1 J
What is specific heat capacity?The specific heat capacity of a substance is the quantity of heat required to increase the temperature of a unit mass of the substance by 1°C or 1k. it measure in J/kg/k.
The specific heat capacity of a substance is denoted by 'C'. And it is expressed as C = Q/m∆t
where ∆t is the change in temperature, Q is the quantity of heat energy required and m is the mass of the substance.
therefore Q=mCΔt
Q= 96.7× 0.874×(69.2-31.7)
Q= 1229.1J
Thereore the heat required to increase the temperature from 31.7°C to 69.2°C is 1229.1J
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newton's second law in 1 dimension: a net force of 125 n is applied to a certain object. as a result, the object accelerates with an acceleration of 24.0 m/s2. the mass of the object is
The mass of the object when a net force of 125 n is applied to a certain object is 5.2 kg
Newton's second law in one dimension states that the net force acting on an object is equal to the product of the object's mass and its acceleration. In mathematical form, the law is expressed as:
F = ma
Where F is the net force, m is the mass of the object, and a is the acceleration of the object.
In this case, we are given that a net force of 125 n is applied to an object and that the object accelerates with an acceleration of 24.0 m/s2. We are asked to find the mass of the object.
We can solve for the mass using the equation above:
m = F / a
= 125 n / 24.0 m/s2
= approximately 5.2 kg
Therefore, the mass of the object is approximately 5.2 kg.
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hat is the volume rate of flow of water from a 1.90- cmcm -diameter faucet if the pressure head is 10.0 mm ?
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of water flow is about. 3.97 × 10⁻³m³/s.
Given:
The faucet's diameter (d) is 1.90 cm (0.019 m).
Pressure head (h) = 13.0 m
The formula for the volume rate of flow (Q) through a pipe or faucet is given by:
Q = A × v
The radius of the faucet (r) is half of the diameter:
r = d / 2 = 0.019 / 2 = 0.0095 m
The cross-sectional area of the circular opening is given by:
A = π × r²
v = √(2 × g × h)
v = √(2 × 9.81 × 13.0)
v = √(254.46)
v = 15.95 m/s
Now, we have both A and v. Let's calculate the volume rate of flow (Q):
Q = A × v
Q = π × (0.0095)² × 15.95
Q = 3.97 × 10⁻³m³/s
With a pressure head of 13.0 m and a 1.90 cm diameter tap, the volume rate of flow of water is therefore about. 3.97 × 10⁻³m³/s.
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The complete question is:
What is the volume rate of flow of water from a 1.90- cm -diameter faucet if the pressure head is 10.0 mm?
A light-weight potter's wheel, having a moment of inertia of is spinning freely at 40. 0 rpm. The potter drops a small but dense lump of clay onto the wheel, where it sticks a distance 1. 2 m from the rotational axis. If the subsequent angular speed of the wheel and clay is 32 rpm, what is the mass of the clay?.
The mass of the clay that spinning freely with a speed of 40.0 rpm sticks to a distance of 1.2 m from the axis of rotation and the subsequent angular velocity of the wheel and the clay 32 rpm is 4.2 kg.
Law of conservation of angular momentumThe law of conservation of angular momentum is an analogy of the law of conservation of linear momentum. If we look back at Newton's II law for translational motion, a similar relationship will apply to the law of the conservation of momentum.
The law of conservation of angular momentum is a law that states the amount of momentum before and after producing the same or constant collision.
The equation is:
I₁ω₁ = I₂ω₂
We have,
Initial angular speed of the system = 40.0 rpm ⇒ ω₁
Final angular speed of the system = 32 rpm ⇒ ω₂
This question is incomplete, it should be the moment of inertia of potter's wheel = 24 kgm² ⇒ I₁ = I₂
Distance of clay from axis of rotation = 1.20 m ⇒ R
So, to determine the mass of the clay we can use conservation of angular momentum:
I₁ω₁ = I₂ω₂
(24) (40) = (24 + m (1.20)²) (32)
m = 4.2 kg
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How much work is done by 15 kW engine during 3.0 min?
W = 3.15 · 10⁶ J work is done by 15 kW engine during 3.0 min.
We are aware that power is determined using the equation P = W/t, where P equals power (W), W equals work (J), and t equals time (s)
Using this formula, we can create a formula for work by adding t to both sides of the equation.
W = Pt
Converting 15 kW to W yields 15,000 W.
3.0 minutes is 180 seconds, therefore let's convert that.
Solve for W by substituting these numbers into the work formula.
W = Pt
W = (15,000 W) · (180 s) (180 s)
W = 2700000 J
W = 2.7 · 10⁶ J
This is the amount of work a 15 kW engine can accomplish in three minutes.
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Which statements are explained by Newton’s law of universal gravitation?
//Heavier objects fall faster than lighter objects.
//The strength of Earth’s gravity decreases as an object gets farther from Earth.
//The strength of gravity depends on an object’s mass.
//Mass and weight are the same quantities.
Answer:
Below
Explanation:
The strength of Earth’s gravity decreases as an object gets farther from Earth. <===== this is the only statement that is true
Answer: (There are two statements)
The strength of Earth's gravity decreases as an object gets farther from Earth.
The strength of gravity depends on an object's mass
Explanation:
One “day” on the moon is the same length as one month on
Earth.
Is this True or false??
Answer:
True
Explanation:
Car has mass if 500 kg is moving at 24 m/s.A lion has mass of 100 kg drops to the roof of the car from over hanging branch. Show the car will slow down to 20 m/s
The velocity of the car will slow down to 20 m/s given that the lion of mass 100 Kg drops to the roof of the car.
How do I prove that the velocity of the car will slow down to 20 m/s?To show that the velocity of the car will slow down to 20 m/s, we shall determine the common velocity of the car and the lion after collision. This shown below:
Mass of car (m₁) = 500 KgVelocity of car (u₁) = 24 m/sMass of lion (m₂) = 100 KgVelocity of lion (u₂) = 0 m/sCommon velocity (v) = ?m₁u₁ + m₂u₂ = v(m₁ + m₂)
(500 × 24) + (100 × 0) = v × (500 + 100)
12000 + 0 = v × 600
12000 = v × 600
Divide both sides by 600
v = 12000 / 600
v = 20 m/s
From the calculation made above, we can see that the common velocity of the car and the lion is 20 m/s.
Thus, we can say that the velocity of the car slows down to 20 m/s
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a mosquito flying over a highway strikes the windshield of a moving trunk. compared to the magnitude of the force of the truck on the mosquito during the collision, the magnitude of the force of the mosquito on the truck is
The magnitude of the force of the mosquito on the truck is same as the magnitude of the truck on the mosquito.
When we push or pull an object, then we say that a force is applied to it. Depending on its direction, the force might be either positive or negative.
The Newton's third law of motion states that if a force is applied to an object by an external agent, then the object applies the same magnitude of the force on the agent but that this force is in the opposite direction to the original force direction. So, forces always occur in a pair.
Even though the two forces in a pair act in different ways on distinct objects, they are equal.
In the given question, when the mosquito hits the shield of the truck then it applies a force on the car, and the car also applies the same magnitude of the force on the mosquito.
Thus, the force on the mosquito by the truck has the same magnitude as the force on the truck by the mosquito.
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What part of the stopping distance does reaction time effect?
Reaction time is the time it takes for a driver to recognize a hazardous situation and initiate a response, such as braking or steering. It is one component of the total stopping distance of a vehicle. The other components of stopping distance include the distance traveled during the period of reaction time (the distance the vehicle travels before the driver begins braking) and the braking distance (the distance the vehicle travels while the brakes are applied).
The stopping distance of a vehicle can be calculated using the following formula:
Stopping distance = reaction time + distance traveled during reaction time + braking distance
In this formula, the reaction time is the time it takes for the driver to recognize the hazardous situation and initiate a response, the distance traveled during reaction time is the distance the vehicle travels during this time period, and the braking distance is the distance the vehicle travels while the brakes are applied.
It is important for drivers to be aware of their reaction time and how it can affect their stopping distance. Factors that can affect reaction time include a driver's level of alertness, the complexity of the driving situation, and the driver's age, among others. By understanding their reaction time and the factors that can affect it, drivers can better anticipate and respond to hazardous situations on the road, helping to reduce the risk of accidents and injuries.
A small car and a semi-truck have the same total mechanical energy. Which if the following cannot be true?
The car is going the same speed as the truck and the truck and car are at the same height can not be true. Therefore, option (B) is correct.
What is mechanical energy?Mechanical energy can be defined as the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a body because of its position or motion.
The total mechanical energy can be considered conserved when the forces doing work are conservative in nature. The energy changes between different kinds of potential energy and kinetic energy but the total energy of the system remain constant.
Kinetic energy and the potential energy of the car and the semi-truck will depend on the masses of the objects. The semi-truck must have a greater mass than the car. Therefore, the car and the semi-truck must have different values of speed and height if they have the same total mechanical energy.
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A 0. 25-kilogram baseball is thrown upward with a speed of 30. Meters per second. Neglecting friction, the maximum height reached by the baseball is approximately.
Answer:46m
Explanation:
3
1 point
An archer fires an arrow at 86m/s and an angle of 34° above the ground. What is the horizontal velocity?
71.30 m/s
48.09 m/s
86 m/s
65.82 m/s
Answer:
Below
Explanation:
VERTICAL velocity will be v sin 34
HORIZONTAL velocity will be v cos 34 = 86 cos 34 = 71.3 m/s
½ pounds of butter to make one batch of cookies how many Kilograms of
butter is needed to make 12 batches of cookies? Dimensional analysis
One batch of cookies need 1/2 pounds or 0.21 Kg. Thus, 12 batches of cookies need 2.61 kg of butter.
What is one pound of mass?Mass of a substance is the measure of its total amount. Mass of a substance can be expressed in g, Kg, pounds, lbs etc. Each units can be interchanged with certain relations.
One pound of mass = 0.435 Kg.
Thus, 1/2 pound = 0.435/2 = 0.21 kg.
Given that one batch of cookies need 1/2 pounds or 0.21 Kg. Hence, the amount of butter need to prepare 12 batch of cookies is :
= 12 × 0.21 Kg = 2.61 kg.
Therefore, the mass of butter required for 12 batches of cookies is 2.61 Kg.
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1 The graph shows how the speed of the car varies with time.
speed
10
20
Sime/s
Which statement about the acceleration of the car between 10s and 20s is correct?
A The acceleration decreases.
B
The acceleration increases.
C
The acceleration is constant, but not zero.
D The acceleration is zero.
The speedup gets faster. while the car is properly accelerating between 10 and 20 seconds.
The ideal answer is B.
What is the process by which a particle is accelerated from 10 ms to 20 ms?A body's kinetic energy is equal to 50 times its mass when it is moving at 10 m/s, and 200 times its mass when it is travelling at 20 m/s. In other words, it takes three times as much work to accelerate a body from 0 to 10 m/s (200-50=150*mass).
What does "the acceleration due to gravity is 10 m s2" mean?The earth pulls anything toward its core, which causes the object being pulled to accelerate by 9.8 meters per second as it "falls" to earth.
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