When you attract every object in the universe with a force that is proportional to the mass of the objects and to the distance between them, we are obeying Newton's law of universal gravitation.
Newton's law of universal gravitationNewton's law of universal gravitation states that the force of attraction between two masses in the universe is directly proportional to the product of the masses and inversely proportional to the the square of the distance between them.
The mathematical interpretation of the above law is
F ∝Mm/r²Removing the proportionality sign,
F = GMm/r².Where:
F = Force of attractionG = Gravitational constantM = Bigger massm = Smaller mass r = Distance between the masses.
From the above, When you attract every object in the universe with a force that is proportional to the mass of the objects and to the distance between them, we are obeying Newton's law of universal gravitation.
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A crate is pulled with a force of 165 N at an angle 30 ° northwest. What is the resultant horizontal force on the crate?
Answer:
Resultant horizontal force = 143 N
Explanation:
Since the a gle is 30° northwest, then it means the resultant force will be horizontal and as such;
Resultant horizontal force = 165 * cos 30
Resultant horizontal force = 142.89
Approximating to a whole number gives;
Resultant horizontal force = 143 N
c) Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force
between them. Be sure to:
Describe the scenario.
DExplain the table headings to introduce the data in the table.
Use the data to show a trend.
Summarize the information from the table in a sentence, showing the relationship between
the masses of objects and the gravitational force between the objects.
Use the table to explain how the masses of Objects 1 and 2 relate to the gravitational force between them the power of the gravitational pressure among gadgets relies upon on factors, mass and distance. the pressure of gravity the loads exert on every other.
How do the loads of items 1 and a couple of relate to the gravitational pressure among them?Gravitational pressure -an appealing pressure that exists among all items with mass; an item with mass draws every other item with mass; the value of the pressure is immediately proportional to the loads of the 2 items and inversely proportional to the rectangular of the gap among the 2 items.
Since the gravitational pressure is immediately proportional to the mass of each interacting items, greater large items will entice every different with a more gravitational pressure. So because the mass of both item increases, the pressure of gravitational appeal among them additionally increases.
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Calculate the mass of an object whose weight is 400n and accleration due to gravity is 10 m/ s
Answer:
40kg
Explanation:
w=m×
w=400n
g=10
m=?
400/10=m×10/10
m=40
hen approaching a curve, it is best to: A. Search for possible collision traps and escape paths B. Stay close to the centerline if there is oncoming traffic C. Squeeze the clutch lever to slow down D. Shift to a higher gear
Squeezing the clutch lever to slow down is best to be done when approaching a curve and is denoted as option C.
What is Clutch?This is a mechanical device which used in the engagement and disengagement of transmission system in a vehicle.
Slowing down will give the driver more time to maneuver the curves so as to prevent accident. This is why it is imperative to squeeze the clutch in such road condition.
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You are on a boat in a fog and know there are cliffs ahead of you somewhere, but you cannot see them. you use your fog horn to send out a blast of sound (assume the temperature of the air is 20 oc) and the time it takes for the sound to return to you is 20.0 s. how far away are the cliffs (in metric units)
The distance of the cliff from where you are is determined as 3,430 m.
Distance of the cliffApply the formula for echo.
v = 2d/t
where;
v is speed of sound at 20 ⁰C = 343 m/sd is distance = ?t is time = 20 s2d = vt
d = vt/2
d = (343 x 20)/2
d = 3430 m
Thus, the distance of the cliff from where you are is determined as 3,430 m.
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If a star is moving away from you at constant speed, the absorption lines in its spectrum will.
Answer:
The absorption lines will shift to the red (become longer).
This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.
Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).
The speed of sound in wood is 3300 m s−1 and the speed of sound in air is 330 m s−1. A hammer hits one end of a 33 m long plank of wood. Find the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air.
The difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
What is a sound wave?A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
Given data;
The speed of sound in wood,u= 3300 m/s
The speed of sound in air,v=330 m/sec
long plank of wood, L=33 m
The time period in the air was found as;
T₁ = 33 m / 330 m/sec
T₁= 0.1 sec
The time period in wood ;
T₂= 33 m / 3300 m/sec
T₂=0.01 sec
T = T₁ - T₂
T=0.1-0.01
T=0.09 sec
Hence, the difference in time between the sound waves being detected at the other end of the plank and the sound being heard through the air will be 0.09 sec.
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What cloud extending to the gravitational limits of the solar system would comets come from?.
The Oort cloud extends to the gravitational limits of the solar system would comets come from.
What is oort cloud?It is a hypothetical idea of a cloud of mostly frozen planetesimals that would orbit the Sun at distances between 2,000 and 200,000 AU.
The Oort cloud reaches the solar system's outer gravitational boundaries, where comets originate.
Hence cloud extending to the gravitational limits of the solar system will be oorto cloud.
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The diagram shows changes of state between solid, liquid, and gas. The atoms of a substance lose energy during a change of state. Before the change, the atoms are close together but are able to slide past one another.
A diagram has a triangle at center with gas on top, liquid on bottom right, solid on bottom left. An arrow from gas to liquid is labeled O, and an arrow from liquid to gas is labeled N. An arrow from solid to liquid is labeled P, and an arrow from liquid to solid is labeled Q. An arrow from solid to gas is labeled L, and an arrow from gas to solid is labeled M.
Which arrow represents the change of state described above?
M N P Q
Answer:
its Q
Explanation:
Which two statements are true for reversible reactions that reach dynamic equilibrium?
The correct statement for reversible reactions that reach dynamic equilibrium is option C "the rates of the forward reaction is equal to the rate of backward reactions at equilibrium."
What is dynamic equilibrium?The dynamic equilibrium is defined as a state of a particular system wherein the reversible reaction takes place and ceases modifying the ratio of reactants as well as products.
The chemical reaction is a method for creating novel chemicals with unique features.
The correct statement for reversible reactions that reach dynamic equilibrium is option C "the rates of the forward reaction is equal to the rate of backward reactions at equilibrium."
Therefore, the correct answer will be an option (C).
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. An object is dropped from a height of 75.0 m above ground level. (a)
Determine the distance traveled during the first second. (b) Determine
the final velocity at which the object hits the ground. (c) Determine the
distance traveled during the last second of motion before hitting the
ground.
a) 4.9 m
b) 38.3 m/s
c) 33.4 m
What are three equation of motion?The three equations are,
v = u + at
v² = u² + 2as
s = ut + ½at²
According to the question,
Let hold the y-axis in the direction of gravity.
Initial velocity 0 = 0 /,
Initial height ℎ0 = 0 , and finish height ℎ = 75.0
gravitational acceleration = 9.8 /²
a) Determine the distance traveled during the first second.
By third equation of motion
[tex]S_{0} = v_{0} t +\frac{1}{2} gt^{2}[/tex] where [tex]v_{0}[/tex] =0
then [tex]S_{0} = \frac{gt^{2}}{2} = \frac{9.8*1^{2} }{2} = 4.9 m[/tex]
b) Determine the final velocity at which the object hits the ground
let – velocity of object, when it falling to the ground
– moment falling to the ground, and obtain from condition:
ℎ = ℎ() = 75.0
[tex]v_{f} = v_{0} +gt = gt[/tex]
[tex]h (t_{f} ) = \frac{gt^{2} }{2} = 75.0 m\\t_{f} =\sqrt{\frac{2h_{f} }{g} } \\v_{f}= gt = g \sqrt{\frac{2h_{f} }{g} } =\sqrt{2hg_{f} }= =\sqrt{2*9.8*75.0} = 38.3 m/s[/tex]
c) Determine the distance traveled during the last second of motion before hitting the ground.
From the above equation we get,
[tex]\sqrt{2*75*9.8*1} - \frac{9.8*1^{2} }{2} = 38.3 -4.9 = 33.4 m[/tex]
Therefore,
a) 4.9 m is the distance traveled during the first second.
b) 38.3 m/s is the final velocity at which the object hits the ground
c) 33.4 is the distance traveled during the last second of motion before hitting the ground.
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A car accelerates from 0-26.8m/s in 2.2s. What is its average acceleration?
Answer:
Average acceleration = 12m/s^2
Explanation:
Acceleration is equal to the change in velocity over the change in time:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
Change in velocity is the final velocity minus the initial.
We are told the car goes from 0 to 26.8 m/s making 26.8 our final and 1 our initial. Therefore the change in velocity is 26.8-0 = 26.8m/s. ([tex]\Delta v[/tex])
And that this happens over 2.2s so this is our change in time: [tex]\Delta t[/tex]
Therefore our acceleration is: [tex]a = \frac{26.8}{2.2}[/tex]
Acceleration = 12.18 m/s^2
Rounded to 2 significant figures (2s.g. in 2.2s), the answer is 12m/s^2.
Hope this helped!
Two identical blocks are attached to the same massless rope, which is strung around two massless, frictionless pulleys. A massless scale is connected to the same rope and measures the tension in the rope. The two identical blocks are released from the rest. The experiment is then repeated with two new blocks, with masses m1 and m2. When they are released from rest, the system remains at rest, and the scale measures the same tension as in the previous experiment. Find m1 and m2 in terms of m.
Answer:
The value of mass 1, m1= 6/5m
The value of mass 2, m2= 3/5m
Explanation:
case 1:
here tension and the acceleration will be:
for m1;
mg-T=ma2mg - 2T = 2ma .....1.for m2:
2T-mg = ma/2 ..... 2.adding the both equations,
2mg - 2T + 2T-mg = 2ma + ma/2
a = 2/5 g
putting the value of a into the equation 1.
mg - T = m* (2/5)g
T = 3/5 ( mg )
now
case 2:
The two identical blocks are released from the rest, the tension remains the same as the case 1.
so,
for m1:
2T-m2g=0for m2:
2m2g - 2T =0adding both equations we get,
2T-m2g + 2m2g - 2T = 0
m2 = m1 / 2
T = m1*g / 2
here we know that
T (case1) = T (case2)
3/5 ( mg ) = m1*g / 2
m1 = 6/5 m
hence
m2 = 3/5 m
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What name describes an object that orbits a planet?
Answer:
It can be either a moon or a satellite
Explanation:
a moon is a piece of space debris that orbits a planetdue to the planets gravitational force. Inherently, satellite mimics a moon but it is used for collecting data and etc
A girl at a state fair swings a ball in a vertical circle at the end of a string, the force of the string at the bottom is: A-Less than the weight of the ball B-greater than the weight of the ball C-equal to the weight of the ball D-Zero
which choice is correct and why? thx
The force of the string at the bottom is greater than the weight of the ball. The correct option is B.
What is Net force?When two or more forces are acting on the system of objects, then the to attain equilibrium, net force must be zero.
A girl at a state fair swings a ball in a vertical circle at the end of a string.
When the ball is at the bottom, the force acting will be
The tension in the string , T = mass x centripetal acceleration + Force of gravity
So, T = m x ac + mg
The tension in the cable at the bottom will have centripetal force and weight forces acting on it.
Thus, the force of the string at the bottom is greater than the weight of the ball.
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a transverse wave passes through a slinky
Last one!
Perpendicular to the wave's energy
Hope this helps!
A ball is thrown vertically upward with an initial speed of 50 m/s. if air resistance does affect motion, then what would be its speed upon returning to its starting point?
Answer:
your answer would 50 m/s I do believe
The correct answer for the speed of the ball upon resting to it's starting point is [tex]50[/tex] m/s.
Given:
Initial speed: [tex]u = 50[/tex] m/s
To calculate the speed upon resting position, Calculate the time requires to reach starting position:
Time required to reach starting point = 2 * (Time require to reach the maximum height)
Time required to reach the maximum height:
[tex]v = u+(-a )t[/tex]
Final velocity([tex]v[/tex]) is [tex]0[/tex] m/s.
Negative sign indicates negative acceleration:
[tex]t= \dfrac{50}{9.8}\\\\ = 5.10[/tex]seconds
Time for start point = [tex]2 * 5.8[/tex]
[tex]=10.6[/tex] seconds
From equation of motion:
[tex]v= u+at[/tex]
[tex]= 50 -9.8* 10.2[/tex]
[tex]= -50.2[/tex] m/s
Negative sign indicates downward direction.
Speed when ball return is is [tex]50[/tex] m/s.
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Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m/s. Passang kicks the same ball and it moves with a velocity of 20 m/s. Compare the kinetic energy acquired by the ball in the two cases. TL Thou Prakash kicks a ball of mass 500 g which moves with a velocity of 10 m / s . Passang kicks the same ball and it moves with a velocity of 20 m / s . Compare the kinetic energy acquired by the ball in the two cases . TL Thou
Answer:
750
Explanation:
The kinetic formula is 1 over 2 *mass * velocity Square
Five resistors each have resistance R. Three of the resistors are connected in series and this combination is then connected in parallel with the two other resistors which have been connected in series with each other. What is the equivalent resistance for this arrangement
Answer:
6/5 * R
Explanation:
The 3 in series sum to 3R for one branch of the parallel circuit
the 2 in series sum to 2R for the other side of the parallel circuit
now find the equivalent R of the parallel circuit with 3R and 2R
here is one way
Requiv = 1 / ( 1/(3R) + 1/(2R) ) =
1/ ( 5/(6R) ) =
6R/5
the equiv resistance = 6/5 * R
9. A body is a particular amount of matter. It can be a solid, liquid or gas. It can be
described as existing in
O A. size and shape.
O B. time and space.
C. motion and force.
O D. location and movement.
ou fill be highlighted on the review page)
Answer:
B. Time and Space
Explanation:
Matter is a pshyical or corporeal susbtance in general, whether solid, liquid, or gaseous especially as distinguised from incorpeal substance, as spirit or mind, or form qualities, actions, and the
Within this time-and-space boundary, all matter exists. All matter is made up of atoms. Because these atoms take up space in the universe, solids, liquids, and gases are recognized as existing and may be found in all three dimensions.
Time is a figurative term. Space has three dimensions but time only has one.
Answer:
time and space (A)
Explanation:
When something physically exists, it must exist in time and space. Matter/atoms are recognized as existing--which must be described by existence in time and space.
> Time and space exist as the same property (time cannot exist without space), and is called space-time
> Time is seen as relative {theory of special relativity} meaning that it changes based on your perspective and the space it exists in.
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if ~u = 2ˆı −ˆ and w~ =ˆı 2ˆ, find the component form of ~v = ~u w~ and sketch the specified vector operations geometrically.
The component form of the vector - u + w is determined as -2i + 3j.
Component vector V
The component vector V is calculated from the summation of vector U and vector W.
v = -u + w
Given;
u = 2i - jw = i + 2jv = -(2i - j) + i + 2j
v = -2i + j + 2j
v = -2i + 3j
A sketch of the vectory - axis
↑
↑
↑ 3j
↑
x - axis ← ← ← ← ←
2i
The complete question is below:
if u = 2i - j and w = i + 2j, find the component form of ~v = -u + w~ and sketch the specified vector operations geometrically.
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why aren't there lunar and solar eclipses every month?
The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.
What is a solar eclipse?When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.
Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.
Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.
Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.
Hence lunar and solar eclipses aren't coming every month.
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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.
Why don't lunar and solar eclipses occur every month?When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.
Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.
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help pleaaase!!
A train leaves the station from rest and travels along a straight track. if the train is 500 meters from the station when it reaches a velocity of 50m/s what is the acceleration of the train?
Answer:
[tex]2.5m/s^{2}[/tex]
Explanation:
Since the distance ,s = 500m
Initial velocity, u = 0m/s
Final velocity, v = 50m/s
We can one of the kinematics equations to find the acceleration.
[tex]v^{2} =u^{2} +2as\\50^{2} =0^{2} + 2a(500)\\2500 = 0 + 1000a\\1000a = 2500\\a = \frac{2500}{1000} \\= 2.5m/s^{2}[/tex]
Answer:
S=D÷T
Explanation:
50=0.5÷T
T= 100
Please answer of this question
Answer:
[tex]\frac{\pi }{15}[/tex]m
Explanation:
At 10am, the minute hand and hour hand are ' 2 hours apart', since the minute hand is at 12pm and hour hand is at 10am.
Angle between the two hands = 2/12 * 360
= 60°
Arc Length = [tex]2\pi r(\frac{60}{360} )[/tex]
= [tex]2\pi (0.2)(\frac{1}{6} )\\= \frac{\pi }{15} m[/tex]
When the inferior angle of the scapula moves in the superior and lateral direction, the motion is called:
The motion of the inferior angle of the scapula in the superior and lateral direction is called upward rotation.
What are the possible motions of the scapula?The scapula or the shoulder blade has about six different types of motion it undergoes.
The six ways of movement of the scapula are:
protraction,retraction,elevation,depression,upward rotation, anddownward rotationWhen the inferior angle of the scapula moves in the superior and lateral direction, the motion is called upward rotation.
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which of the following is not a lever?
a. winch
b. scissors
c. can openers
d. tweezers
Answer:
a?
Explanation:yes it is a
what determines the velocity of an object
A.
emotional health : expressing feelings
B.
physical health : respecting others
C.
mental health : living in harmony with the environment
D.
social health : getting adequate sleep
can you please help me with this
Answer:
1.76 seconds/cycle
Explanation:
Frequency is 10 cycles / 17.6 seconds
PERIOD is 1/frequency = 17.6 seconds/10 cycles = 1.76 s/c
cycle is a vibration , so the unit may be 1.76 second / vibration
The line joining all places of zero variation is called?
According to the research, the agonic line is the line joining all places of zero variation.
What is the agonic line?It is a term that refers to the zero declination isogon, that is, it joins the points that do not have magnetic declination.
This line crosses the magnetic and geographic poles of the Earth's surface from which they are aligned and along which there is no magnetic variation.
Therefore, we can conclude that according to the research, the agonic line is the line joining all places of zero variation.
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