Answer:
a variable (often denoted by x) whose variation does not depend on that of another.
Explanation:
Calculate the force of gravity between planet X and planet y if both planets are 3.75 X 10^11 m apart, planet X has a mass of 1.55 X 10^22 kg and planet
Y has a mass of 3.95 X 10^28 kg.
(The radius of planet X is 6.0 X 10^6 m, the radius of planet Y is 1.50 X 10^6 m, and G = 6.67 X 10^-11 Nm2/kg2)
So, the force of gravity that the asteroid and the planet have on each other approximately [tex] \boxed{\sf{2.9 \times 10^{17} \: N}} [/tex]
IntroductionHi ! Now, I will help to discuss about the gravitational force between two objects. The force of gravity is not affected by the radius of an object, but radius between two object. Moreover, if the object is a planet, the radius of the planet is only to calculate the "gravitational acceleration" on the planet itself,does not determine the gravitational force between the two planets. For the gravitational force between two objects, it can be calculated using the following formula :
[tex] \boxed{\sf{\bold{F = G \times \frac{m_1 \times m_2}{r^2}}}} [/tex]
With the following condition :
F = gravitational force (N)G = gravity constant ≈ [tex] \sf{6.67 \times 10^{-11}} [/tex] N.m²/kg²[tex] \sf{m_1} [/tex] = mass of the first object (kg)[tex] \sf{m_2} [/tex] = mass of the second object (kg)r = distance between two objects (m)Problem SolvingWe know that :
G = gravity constant ≈ [tex] \sf{6.67 \times 10^{-11}} [/tex] N.m²/kg²[tex] \sf{m_X} [/tex] = mass of the planet X = [tex] \sf{1.55 \times 10^{22}} [/tex] kg.[tex] \sf{m_Y} [/tex] = mass of the planet Y = [tex] \sf{3.95 \times 10^{28}} [/tex] kg.r = distance between two objects = [tex] \sf{3.75 \times 10^{11}} [/tex] m.What was asked :
F = gravitational force = ... NStep by step :
[tex] \sf{F = G \times \frac{m_X \times m_Y}{r^2}} [/tex]
[tex] \sf{F = 6.67 \cdot 10^{-11} \times \frac{1.55 \cdot 10^{22} \cdot 3.95 \times 10^{28}}{(3.75 \times 10^{11})^2}} [/tex]
[tex] \sf{F \approx \frac{40.84 \times 10^{-11 + 22 + 28}}{14.0625 \times 10^{22}}} [/tex]
[tex] \sf{F \approx 2.9 \times 10^{39 - 22}} [/tex]
[tex] \sf{F \approx 2.9 \times 10^{17} \: N} [/tex]
ConclusionSo, the force of gravity that the asteroid and the planet have on each other approximately
[tex] \boxed{\sf{2.9 \times 10^{17} \: N}} [/tex]
See MoreGravity is a thing has depends on ... https://brainly.com/question/26485200As you look at the side of the wheel, you can see it spinning clockwise. What are the directions of the angular velocity, and angular momentum?
If the torque is applied to the rim, causing the wheel to slow down, what are the directions of the torque and the angular acceleration?
Answer:
The direction of angular velocity and angular momentum are perpendicular to the plane of rotation. Using the right hand rule, the direction of both angular velocity and angular momentum is defined as the direction in which the thumb of your right hand points when you curl your fingers in the direction of rotation.
Explanation:
what is the average velocity if the initial velocity of an object is 10 m/s and the final velocity ia 28 m/s ?
Vector A points along the + y axis and a magnitude of 100.0 units. Vector B points at an angle of 60.0 degrees above the +x axis and has a magnitude of 200.0 units. Vector C points along the +x axis and has a magnitude of 150.0 units. Which vector has (a ) the largest x component and (b) the largest y component ?
Answer:
vector quantities are resolved into their component form (along the x and y-axis) before adding them. Let us assume that two vectors are
→
a
=
x
1
^
i
+
y
1
^
j
and
→
b
=
x
2
^
i
+
y
2
^
j
, we can find the sum of two vectors as follows.
→
a
+
→
b
=
x
1
^
i
+
y
1
^
j
+
x
2
^
i
+
y
2
^
j
=
(
x
1
+
x
2
)
^
i
+
(
y
1
+
y
2
)
^
j
The direction of the sum of the vectors (with positive x-axis) is,
θ
=
tan
−
1
(
y
1
+
y
2
x
1
+
x
2
)
Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j
What is vector ?Vectors are objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
Vector A = direction is in y direction = 100j
Since , this vector is only in y direction and have no component in x direction , so its x component will be = 0i
Vector B = direction is at angle of 60.0 degrees above the +x axis
Resolving into x and y components
x component = Vector B*cos(60) = Vector B * (1/2) = Vector B /2 = 200 /2
= 100i
y component = Vector B * sin(60) = Vector B * [tex]\sqrt{3}[/tex]/2 = 173j
Vector C = direction is along the +x axis
hence , it will not have any y component
x component = 150i
y component = 0j
Out of all the largest x component is of Vector C of value 150i and Vector B will have highest y component of value 173j
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Can an eagle reach exosphere through flying?
explain the washing effects of detergents of soap and why detergents in warm water washes greasy clothes even better
Answer:
Soaps and detergents are made from long molecules that contain a head and tail the detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.
Answer:
Soaps and detergents are made from long molecules that contain a head and tail. ... The detergent molecules also help to make the washing process more effective by reducing the surface tension of the water. Surface tension is the force which helps a blob of water on a surface hold its shape and not spread out.
Explanation:
hello
An acrobat on skis starts from rest 50.0 m above the
ground on a frictionless track and flies off the track
at a 45.0° angle above the horizontal and at a height
of 10.0 m. Disregard air resistance.
a. What is the skier's speed when leaving the
track?
b. What is the maximum height attained?
The initial speed of the skier is 14 m/s.
The maximum height attained by the skier is 15 m.
Initial speed of the skier
The initial speed of the skier is determined by using the following kinematic equation.
[tex]K.E = mgh\\\\\frac{1}{2} mv^2 = mgh\\\\\frac{1}{2} v^2 = gh\\\\v^2 = 2gh\\\\v = \sqrt{2gh} \\\\v = \sqrt{2\times 9.8 \times 10} \\\\v = 14 \ m/s[/tex]
Maximum height attainedThe maximum height attained by the skier is calculated as follows;
[tex]H = \frac{v^2 sin^2\theta}{2g} \\\\H = \frac{14^2 \times (sin45)^2}{2 \times 9.8} \\\\H = 5 \ m[/tex]
Thus, the maximum height attained by the skier is (10 + 5) = 15 m.
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What is the radius of a force?
Answer:
this kind of force is proportional directly to the speed of the object and inversely to the radius of the curved path. Therefore, Hence, the force becomes 2.25 times the original force.
Explanation:
Two positive point charges are 4.9cm apart. If the electric potential energy is 70.0 μJ, what is the magnitude of the force between the two charges?
Hi there!
Recall the following:
[tex]V \text{ (Electric Potential Energy) } = \frac{kq_1q_2}{r}\\\\F_E = \frac{kq_1q_2}{r^2}[/tex]
k = Coulomb's Constant (Jm/C²)
q = Charge (C)
r = distance between charges (m)
To calculate the electric force between the two charges, we can simply divide by another 'r' (distance):
[tex]F_E = \frac{70}{0.049} = \boxed{1428.57 \mu J}[/tex]
What can be said in general about warm colours
Answer:
Warm colours are those with a yellow-ish or black undertone. Imagine how everything looks through your tinted sunglasses or on a beautiful day in autumn when the leaves are falling. The hints of yellow give these colours a sunny warmth, while those with more black mixed in appear darker and can seem more muted.
What is the source of power in
this circuit?
A. A
B. B
С. С
Answer:
C, C is batteries, B is switch, A is bulb
What is the new velocity of an 1140 kg car that was traveling at 13.6 m/s and slams on the brakes losing 50000 of energy?
Answer:
9.86m/s
Explanation:
let's get to the formula
kinetic energy = 1/2*m*v^2= .5*1140*(13.6)^2=105427.2 j
it looses 50k j of energy. so new energy = 105427.2-50000 = 554227.2
again use the formula for k.e
ans = 9.86 m/s
What would happen if we
decreased the WIDTH of
these wires?
A. The resistance would stay the same.
B. The resistance would increase.
C. The resistance would decrease.
Answer:
i think the correct answer is (a)
A ball which is thrown vertically upwards at 1.2 m s-
decelerates uniformly at 10 m s-2. How long will it take
to reach zero velocity?
A 0.12 s
B 2.4 s
C 6.0 s
D 12.0 S
what is harmony? What is the meaning of it?
Answer:
Brainliest pls
Explanation:
the playing of musical tones together in chords. 2: a pleasing arrangement of parts a harmony of colors. 3: agreement sense 1, accord The committee worked in harmony.
agreement; accord; harmonious relations. a consistent, orderly, or pleasing arrangement of parts; congruity. Music. any simultaneous combination of tones. the simultaneous combination of tones, especially when blended into chords pleasing to the ear; chordal structure, as distinguished from melody and rhythm.
What is harmony? What is the meaning of it.
Balance is a synonymIts a noun the combination of simultaneous musical notes in a chord She taught him how to sing harmony.
• A plastic bag filled with air has a volume of
0.008 m3. When air in the bag A plastic bag filled with air has a volume of 0.008 m^3. When air in the bag is squeezed into a
rigid container, the mass of the container (with air)
increases from 0.02 kg to 0.03 kg. Use the formula
density
volume
to calculate the density of the air in the bag.
Answer:
The change in the mass of box = 0.01 kg
Volume of air in the polythene bag = Volume of air in the rigid box
Therefore, Volume of air in the box = 0.008 m^3
Now, Density = Mass/ Volume
=> Density = 0.01 / 0.008 = 1.25 Kg / m^3
Explanation:
I looked it up
Substitute equation (2) into (1) to give a new equation for p that involves only I and R
Re arrange (2) to make I the subject, and substitute your result into equation (1) to give a new equation containing only V and R
Answer:
[tex]p = {i}^{2} r[/tex]
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
P= VI
V= IR
Substitute eqn 1 into eqn 2
P= (IR) I
[tex]p = {i}^{2} r[/tex]
[tex] \frac{p}{r} = \frac{ {i}^{2}r }{r} [/tex]
[tex] {i}^{2} = \frac{p}{r} [/tex]
[tex]i = \sqrt{ \frac{p}{r} } [/tex]
The circuit shown is constructed using nine identical batteries and nine identical resistors. The lower left corner of the circuit is grounded. Determine whether the current through each resistor is zero or nonzero.
The current through each resistor in the circuit connection is non-zero.
What is grounding in a circuit?Grounding in a circuit connection implies a point of zero volt. It is achieved in an electrical system when a part of current flow in the circuit is intentionally directed or connected to the earth.
As long as there is potential difference in a circuit, current will flow in the resistor. Grounding a circuit creates a potential difference between two points (low potential and high potential) in the circuit and consequently, current will flow across the resistors.
Thus, the current through each resistor is non-zero.
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Please Help!!!
Imagine two astronauts working in outer space. Suppose they have equal masses and accidentally run into each other. The first astronaut moves 4.0 m/s to the right before the collision and 1.5 m/s to the left afterwards. If the second astronaut moves 4.0 m/s to the right after the perfectly elastic collision, what was the second astronaut's initial velocity? Hint m1 and m2 are equal, so you do not need them to solve for vzi 1. List your Givens. 2. Show your Work. 3. Give your answer
Take "to the right" to be the positive direction. By conservation of momentum,
m₁v₁ + m₂v₂ = m₁(v')₁ + m₂(v')₂
where the v-s denote initial velocities and the v'-s denote final velocities. m₁ and m₂ are of course masses, but we're told that m₁ = m₂, so we can eliminate these factors altogether:
v₁ + v₂ = (v')₁ + (v')₂
We're given that v₁ = +4.0 m/s, (v₁)' = -1.5 m/s, and (v')₂ = +4.0 m/s.
Solve for v₂ :
v₁ + v₂ = (v')₁ + (v')₂
4.0 m/s + v₂ = -1.5 m/s + 4.0 m/s
⇒ v₂ = -1.5 m/s
A 7000-kg plane is launched from an aircraft carrier in 2.0 seconds
by a force of 550,000 N.
What is the plane's acceleration?
What was its final velocity?
The acceleration and velocity of the plane is 78.57 m/s² and 157.14 m/s respectively
To calculate the acceleration of the plane, we use the formula below.
Formula:a = F/m..................... Equation 1Where:
a = Acceleration of the planeF = Force applied to the planem = mass of the plane.From the question,
Given:
F = 550000 Nm = 7000 kgSubstitute these values into equation 1
a = 550000/7000a = 78.57 m/s²To calculate the velocity, we use the formula below.
v = u+at............. Equation 2Where:
v = Final velocityu = initial velocitya = accelerationt = time.From the question,
Given:
u = 0 m/sa = 78.57 m/st = 2.0 secondsSubstitute these values into equation 2
v = 0+2(78.57)v = 157.14 m/sHence, The acceleration and velocity of the plane is 78.57 m/s² and 157.14 m/s respectively.
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Question 10.
Mass (M), acceleration (a) and force (F) are related by the equation
F=ma
Re-arrange this equation so as to make the acceleration a the subject, i.e.
a= ??
Answer:
[tex]a=\frac{F}{m}[/tex]
Explanation:
Just divide mass from both sides
Define stress and strain. Establish the relation among energy, density stress and strain.
Answer:
In continuum mechanics, stress is a physical quantity that expresses the internal forces that neighboring particles of a continuous material exert on each other, while strain is the measure of the deformation of the material.
Strain energy density functions (W) establish the relation between the amount of energy employed to deform a volume unit of a solid and imposed strain.
Explanation:
Stress, strain and strain-energy density is discussed below.
What is elasticity?In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed
Given is to define stress and strain and establish the relation among energy, density stress and strain.
Stress is defined as “The restoring force per unit area of the material”.Strain is the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body.The strain-energy density of a material is defined as the strain energy per unit volume. It is equal to the area under the stress-strain diagram of a material, measured from εx = 0 to εx = ε1 as described below. We can write -[tex]$u = U/V =\int\limits^\epsilon_0 \, \sigma_{x} d\epsilon_{x}[/tex]
Therefore, stress, strain and strain-energy density is discussed above.
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An elephant has a mass of 5000 kg. What is the elephant's weight?
Calculate the weight of an object with a mass of 50 kg on a planet with an acceleration due to gravity of 2.0 m/s2.
a. .04 N
b. 25 N
c. 100 N
Answer:
C
Explanation:
Basically force is given by the formula.
F= ma
Where m is mass of the body and 'a' is acceleration.
Here the time is not given, hence it is not possible to calculate acceleration, as acceleration is given by the formula
a= v/t
So most probably the question is wrong.
However if we take acceleration= 2m/s^2
Then F= ma= 50*2= 100N
However if the question was to find energy then it is sufficient to find kinetic energy as moving objects possess kinetic energy.kinetic energy is given by the formula:
KE= 1/2*m* v^2
I.e, KE= 1/2 * 50 * 2* 2
What/Where is the area of the mantle is reaching the Earths surface?
Explanation: The mantle is divided into several layers: the upper mantle, the transition zone, the lower mantle, and D” (D double-prime), the strange region where the mantle meets the outer core. The upper mantle extends from the crust to a depth of about 410 kilometers (255 miles).
People tint windows dark to encourage __________.
Multiple choice question.
A)
transmission
B)
absorption
C)
reflection
D)
transfusion
Answer:
B
absorption
black colour absorbs colour
Answer:
I think it's absorption
Hope this helps ;)
The first formant of your vocal system can be modeled as the resonance of an open-closed tube, the closed end being your vocal cords and the open end your lips. Estimate the frequency of the first formant from the graph in (Figure 1).
Answer:
290 Hz
Explanation:
Resonance, in terms of physics and biology, describes the pitch and the vocals. The frequency of the first formant is 0.30 m.
What is vocal resonation?Resonance has been the production of the phonation or the vocal that gets increased in intensity and timbre by the cavities that are filled out by the air as present in the vocal system with an open-closed tube.
From the graph, the frequency of the individual line is, calculated by dividing 1000 Hz with 7 sections shown in the graph as,
f = 1000 ÷ 7
= 142.85 Hz
Further, the frequency of the first formant is calculated as:
f' = 2f
= 2(142.85 Hz)
= 285.71 Hz
= 290 Hz
Now for the open-closed tube, the fundamental frequency is,
f = ν ÷ 4L
L = ν ÷ 4f
= 343 ÷ 4( 290 Hz)
= 0.30 m
Therefore, 0.30 m is the frequency of the first formant.
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Translate the word phrase into an algebraic equation: the quotient of 22 and 2 is equal to 11.
Answer:
22/2 = 11
Explanation:
A quotient means the result of a division problem. When it says the quotient of a and b, this means of "a divided by b". Remember to always go in the right order, because in division, order matters.
Therefore the quotient of 22 and 2 is equal to 11 is written: 22/2 = 11
Calculate the pressure when a force of 200 N presses on an area of 0.40 m
Answer:
500 Pascals or 500N/m²
Explanation:
Pressure = Force/Area
P= 200/0.4 = 500
A speed skater just finished a race. After she crossed the finish line, she coasted to a complete stop. If her initial speed was 13.0 m/s and her acceleration was -2.9 m/s2, how long did it take her to stop?
Answer:
5seconds
Explanation:
because she was going through the same time