This question involves the concept of Newton's law of gravitation.
The force of gravity between the two spaceships is "1355.78 N".
Newton's Law Of GravitationAccording to Newton's Law of Gravitation:
[tex]F=\frac{Gm_1m_2}{r^2}[/tex]
where,
F = force of gravity between ships = ?G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ N.m²/kg²m₁ = mass of first ship = 500 kgm₂ = mass of second ship = 498 kgr = distance between ships = 35 mTherefore,
[tex]F=\frac{(6.67\ x\ 10^{-11}\ N.m^2/kg^2)(500\ kg)(498\ kg)}{(35\ m)^2}\\\\[/tex]
F = 1355.78 N = 1.356 KN
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Two space ships traveling next to each other. The first one is 500 kg and the second one is 498 kg. They are 35 meters apart, the Force of gravity between the two spaceships is 1355.78 N.
It is given that the First spaceship's weight ([tex]m_{1}[/tex]) is 500 kg,
The second spaceship's weight ([tex]\rm m_{2}[/tex]) is 498 kg.
The distance between spaceships (r) is 35 meters.
It is required to find the Force of gravity between these spaceships.
What is Gravitational force?It is defined as the force which attracts any two masses in the universe.
By Newton's law of Gravitation:
[tex]\rm F= \frac{Gm_1m_2}{r^2}[/tex] , Where
[tex]\rm F = The\ force \ of \ gravity \ between \ the \ spaceships\\\rm G= Universal\ Gravitational \ Constant = 6.67 \times 10^{-11} N.m^2/kg^2[/tex]
Putting values in the above formula:
[tex]\rm F = \frac{(6.67\times 10^{-11} N.m^2/kg^2)(500kg)(498kg)}{(35m)^2}[/tex]
F = 1355.78 N = 1.356 KN
Thus, Two spaceships travel next to each other. The first one is 500 kg and the second one is 498 kg. They are 35 meters apart, the Force of gravity between the two spaceships is 1355.78 N.
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478 J of work must be done to compress a gas to half its initial volume at constant temperature. How much work must be done to compress the gas by a factor of 12.0, starting from its initial volume?
I was thinking of using PV = W formula. Like
478 = P(V/2)
956 = PV
W = P(V/12)
12W/V = P
956 = (12W/V)(V)
956 = 12W
W = 79.66667 J
is this correct? could someone please help?
Answer:
Explanation:
I don't think so. Think about it. To compress the volume by a factor of 2 it takes 956 Joules.
Now you come along and you want to get the pressure for 1/12 of the volume. It's going to take a huge pressure to do that.
I would suggest that you have to use a modified form of the formula.
PV = 956
You need to compress the volume by 1/6
P(V/6) = 956
6 * PV/6 = 6 * 956
PV = 5736 J
Why did I only take 1/6? Because. 956 represents the pressure needed for 1/2 the volume. You need to multiply 1/2 * 1/6 to get 1/12
When you apply increasing thermal energy to a certain material, it reaches a temperature of 50 degrees C. However, when it reaches this temperature, applying more increasing thermal energy does not cause the temperature to rise. Which of the following best explains what is happening?
1. The system is having its heat leaking out that is not going into the material
2. The material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature
3. The material is made of a heat resistant alloy that is preventing the thermal energy from being fully absorbed
4. The material has already absorbed enough thermal energy and cannot absorb any more
The material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature.
What is latent heat?Latent heat is defined as the thermal energy absorbed or released during a phase change of a substance.
Latent heat can also be explained as the energy in hidden form which is supplied or extracted to change the state of a substance without changing its temperature.
From the above explanation, we can conclude that, the material is at its phase change temperature and the thermal energy is going to change the phase instead of increase the temperature.
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the radius of a ball is increasing at a rate of 2 mm per second. how fast is the volume of the ball increasing when the diameter is 40 mm
Step 1: Define an equation that relates the volume of a sphere to its radius.
V = 4/3*π*r3
Step 2: Take the derivative of each side with respect to time (we will define time as "t").
(d/dt)V = (d/dt)(4/3*π*r3)
dV/dt = 4πr2*dr/dt
Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.
dV/dt = 4π(50mm)2*(2mm/s)
dV/dt = 62,832 mm3/s
A small block, with a mass of 250 g, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop, and then onto the final level section on the right. The maximum height of the incline is 80 cm, and the radius of the loop is 15 cm.
a.) Find the initial energy of the block.
b.) Find the velocity of the block at the bottom of the loop.
c.) Find the velocity of the block at the top of the loop.
(a) The initial energy of the block due to its position is 1.96 J.
(b) The velocity of the block at the bottom of the loop is 3.96 m/s.
(c) the velocity of the block at the top of the loop is 3.13 m/s.
Initial energy of the blockThe initial energy of the block due to its position is calculated as follows;
P.E = mgh
P.E = 0.25 X 9.8 X 0.8
P.E = 1.96 J
Conversation of the energyThe velocity of the block at the bottom of the loop is determined by applying the principle of conservation of energy as shown below;
P.Ei + P.Ef = K.Ei + K.Ef
1.96 + 0 = 0 + ¹/₂mvf²
vf² = 2(1.96)/m
vf² = (2 x 1.96) / (0.25)
vf² = 15.68
vf = √15.68
vf = 3.96 m/s
Velocity of the block at top of the loopThe velocity of the block at the top is calculated by applying principle of conservation of energy,
P.Ei + P.Ef = K.Ei + K.Ef
1.96 = mghf + ¹/₂mvf²
where;
hf is the position of the ball at the top of the loop = 2r = 2 x 15 cm = 30 cm = 0.31.96 = 0.25 x 9.8 x 0.3 + 0.5 x 0.25vf²
1.225 = 0.125vf²
vf² = 1.225/0.125
vf² = 9.8
vf = 3.13 m/s
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Topic : Collisions and Conservation of Momentum
1. A 0.2 kg ball moves to the right with a speed of 3 m/s. It hits a 0.5 kg ball, which is at rest? After the collision, the second ball moves to the right with a speed of 1 m/s. What is the speed of the first ball after the collision?
2. A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?
Aresultant vector is the *blank* of two or more vectors.
Answer:
Vector sum.
Adding two things together to make one is usually referred to as a sum, therefore, we can identify this as that.
Two people of equal mass attempt a tug-of-war with a 10 m long rope
while standing on ice. On pulling the rope, they both slide towards
each other. What will be the acceleration for each person?
Answer:
Explanation:
As the poster has noted above in comment, the acceleration for each person will be the same. This is because when they tugon the rope, there will be tension force on the rope pulling the two persons towards each other. The tension force will be the same for them. As they also have equal mass, by Newton's Second Law of Motion, Force = mass * acceleration, their acceleration will be the same.
I NEED HELP FAST
Match the term with the appropriate image
A) Focal length
B) Object position
C) Image position
1st image - B) Object position
2nd image - A) Focal length
3rd image - C) Image position
object position is from the lens to the object.image position is from the lens to where both rays meet together.Focal length is where the ray meets the principal axis.Read the materials on Biomolecules. Summarize and creatively translate them into a poem describing
what you have learned about biomolecules write your answer
Biomolecules are fundamental for life. They required both energy supply and building structures.
What are biomolecules?Biomolecules are organic molecules that fundamental for life and must be ingested from the regular diet.
Biomolecules include proteins (e.g., meal proteins), lipids (fats) and also carbohydrates (e.g., glucose).
Biomolecules required both energy supply (e.g., glucose) and building structures (e.g., amino acids in proteins).
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how many electrons flow through a 3 A current in 3 seconds
A race car goes forward from 0 to a velocity of 80 m/s in 9.4 s. What is its acceleration?
Answer:
The average acceleration is about 8.51 m/s
Explanation:
We can use the formula for acceleration to solve.
a = [tex]\frac{velocity_{final} -velocity_{start} }{time}[/tex]
a = [tex]\frac{80-0}{9.4}[/tex]
a = [tex]\frac{80}{9.4}[/tex]
a ≈ 8.51
The higher the wattage of a light bulb, the more work the light bulb does. Group of answer choices
True
False
Answer:
True.
Explanation:
The higher the wattage the brighter the light. The efficiency of the system was introduced using and coletician lamps
Ways in which a teacher plays a role in the literacy development of the learners
Answer:
encourage all attempts at reading, writing, and speaking
Explanation:
An object can not have a charge of?
Answer:
If an object is electrically neutral it has no net charge becuase it has the same number of protons as it does electrons, which are opposite charges that offset each other. No, that just means that the sum of all its positive and negative amounts of charge equals zero.
Explanation:
A rectangular gymnasium is 50 m long, 25 m wide and 8.0 m high.
The density of air is 1.2 kg/mº.
What is the best estimate of the mass of air in the gymnasium?
[tex]\text{Volume,}~V = 50 \times 25 \times 8 = 10000~ m^3\\\\\text{Density,}~\rho = 1.2 ~ kg ~m^{-3}\\ \\\\\text{We know that,}\\\\`~~~~~~~\rho = \dfrac{m}{V}\\\\\implies m = \rho V \\\\\implies m = 1.2 \times 10000 = 12000~kg}\\\\\text{Hence the mass of air is 12000 kg.}[/tex]
What do all waves transfer?
Question 1 options:
matter
energy
particles
water
Answer:
Matter
Explanation:
A wave is a disturbance that transfers energy from one place to another without transferring matter. Waves transfer energy away from the source, or starting place, of the energy.
Answer:
energy
Explanation:
I took the test think of hydropower dams
Two people work together to move a heavy box. One person pulls the box with a force of 200 Newtons. The other person pushes the box with a force of 150 newtons. The force of friction on the box is 400 newtons. Which of the following BEST describes what will happen to the box and people?
A. The person pushing the box will move the box towards the person pulling it.
B. The box will accelerate in the direction of the frictional force.
C. Both people will accelerate in the direction of friction, but the box will remain stationary.
D. Neither the box nor people will move.
Answer:
D. Neither the box nor people will move.
Explanation:
We are given three forces that are present on the box and friction is the result of someone trying to move the box. The net force of the people pulling/pushing is barely 50 Newtons which doesn't compare with the frictional force of 400 Newtons, you will need to surpass a net force of 400 Newtons in order for the box to START moving.
Three different scientific institutions provide data about how much the annual global temperature has deviated from the norm in the years 1880 to 2014. The nort is
based on the temperatures of a base period, from 1951 to 1980
Institution A's data show that the annual global temperature deviated from the norm by 0.75°C in 2010
Institution B's data show that the annual global temperature deviated from the norm by 0.72°C in 2010
Institution C's data show that the annual global temperature deviated from the norm by 0.77°C in 2010.
Which are accurate statements about this data? Select the two correct answers
(1 point)
Based on the findings above, the accurate statements are:
B. The institutions have not yet gathered enough data for scientists to draw a conclusion about whether the annual global temperature is gradually increasing.C. The data gathered by each institution is very similar to the data gathered by the other institutions.What are the accurate statements?The information that all three institutions gathered is quite similar with their results showing a range of annual temperature deviation of 0.05°C in 2010.
However, this data is not enough to say that temperatures are rising gradually because there is no information on temperatures from the previous years.
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Why was the government in giving support to addressing and researching the HIV epidemic ?
A school bus and a small Toyota Prius collide in a head-on collision
Which vehicle pushed with a greater force? Explain
Which vehicle has a greater mass?
Which vehicle has a greater acceleration after the moment of impact? Explain why
Hi there!
Part 1:
According to Newton's Third Law, every action has an EQUAL and OPPOSITE reaction.
For a collision, the objects involved exert an EQUAL and OPPOSITE impulse on each other, which means the forces exerted are equal as well.
Therefore, the school bus and Toyota Prius exert an EQUAL FORCE on each other.
Part 2:
The school bus has a greater mass.
Part 3:
Using Newton's Second Law:
[tex]\Sigma F = ma[/tex]
Using this relationship, the smaller the mass, the larger the acceleration. Since the forces are EQUAL, the Toyota Prius will experience a larger acceleration because it has a smaller mass.
Explain newtons's law of gravitation
Newton's law of universal gravitation is typically stated that every particle attracts every particle in the universe with force that is directly proportional to the result of their masses and inversely proportional to the square of distance between their centers.
what are the three gases our atmosphere is mainly composed of
Answer:
the three gases our atmosphere is mainly composed of are nitrogen oxygen and carbon
A car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration
was 4 m/s2, what was its initial velocity? Show all work and units for full credit.
The initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
How to calculate initial velocity?The initial velocity of a moving body can be calculated using the following formula:
a = v - u/t
Where;
a = acceleration (m/s²)v = final velocity (m/s)u = initial velocity (m/s?t = time (seconds)According to this question, a car accelerates to a speed of 55 m/s within the span of 8 seconds. If its acceleration was 4 m/s², the initial velocity is calculated as follows:
4 = 55 - u/8
32 = 55 - u
u = 55 - 32
u = 23m/s
Therefore, the initial velocity of a car that accelerates to a speed of 55 m/s within the span of 8 seconds is 23m/s.
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Read the text below. Each sentence is about one, two or no energy at all. (5 points) Name the type (s) of energy for each sentence, or leave the space blank (if in the sentence no energy is mentioned). Artan decided to paint the house. He moved the furniture, climbed the stairs, and began work. After two hours he took a break, ate lunch and turned on the radio to listen to some music. When done, turn on a heater to allow the paint to dry as quickly as possible. At dinner everything had ended. a) ............................................................................................................................................ b) ............................................................................................................................................ c) ............................................................................................................................................ d) ............................................................................................................................................ e) ............................................................................................................................................
Predict the magnitude of the gravitational force....
Answer:
a=650.549
b=246.4819
c=38.5261
Explanation:
3
3
If a jogger runs a 10 kilometer race in 60 minutes, what is
her average speed?
A
10 km/hr
B
5 km/hr
С 6 km/hr
D
1.66 km/hr
If a jogger runs a 10 kilometer race in 60 minutes, her average speed is 10km/hr. Details about average speed can be found below.
How to calculate average speed?Average speed can be calculated by dividing the distance moved by a body by the time taken. That is;
Average speed = Distance/Time
According to this question, a jogger runs a 10 kilometer race in 60 minutes. The average speed is calculated as follows:
Average speed = 10km/1hr
Average speed = 10km/hr.
Therefore, if a jogger runs a 10 kilometer race in 60 minutes, her average speed is 10km/hr.
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how can you find the reading of main scale and vernier scale
Answer:
this pdf should help you out
Explanation:
When a force is applied to a wheel, its axle exerts a greater force?
Answer:
That is true.
Explanation:
When the input force is applied to the wheel, as it is with a doorknob, the axle turns over a shorter distance but with greater force, so the mechanical advantage is greater than 1.
Hold a spoon such that the water will hit the back of the spoon. The handle of the spoon will be horizontal. Turn on the water, but not full strength though.
This is an experiment that explains the Bernoulli principle. According to this principle, at the bottom of the spoon, there will be a reduction in pressure.
Explanation of the Bernoulli principleSo the pressure at the bottom of the spoon reduces because the velocity of the water is larger and the height of the column of water is smaller at this part.
So the spoon is attracted to the water at the point of lowest pressure because objects gravitate to low-pressure points.
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PLEASE SAVE ME FROM THIS PHYSICS QUESTION (WILL MARK BRAINLIEST)
A 21 kg child is riding a 5.9 kg bike with a velocity of 4.5 m/s to the northwest.
- What is the total momentum of the child and the bike together?
- What is the momentum of the child?
- What is the momentum of the bike?
Answer:
See Below
Explanation:
Mass of child = 21 kg
Mass of bicycle = 5.9 kg
Total mass = 22 + 5.9 = 27.9 kg
Velocity = 4.5 m/s
1) Total momentum of the child and the bike together
= Total mass * Velocity
= 27.9*4.5
= 125.55 kg m per second
2) Momentum of the child
= Mass of child*Velocity
= 21*5.9
= 123.9 kg m per second
3) Momentum of the bike
= Mass of bike*Velocity
= 5.9*4.5
= 26.55 kg m per second