Answer:
Two factors effecting the magnitude of the force of gravity between 2 objects are the product of their masses and square of distance between them.
Explanation:
According to Newton's law of universal gravitation
[tex]F = G\frac{m_{1}m_{2} }{r^{2} } }[/tex]
where F is the gravitational force, G is the universal gravitational constant and its value is 6.6743 × 10⁻¹¹ Nm²/kg₂ , m₁ and m₂ are masses of bodies and r is the distance between them.
It can be seen from the above equation that F is directly proportional to the product of the masses and inversely proportional to the square of distance between them.
F ∝ m₁m₂
F ∝ 1/r²
As far as the masses of the bodies increase, magnitude of the Gravitational force increases and if distance between them increase then Gravitational force between them decreases.
The magnitude of the force of gravity between two objects is affected by the product of their masses and inversely by the square of the distance between them, in accordance with Newton's Universal Law of Gravitation.
Explanation:Two factors that affect the magnitude of the gravitational force between two objects are: the product of their masses (M1 and M2) and the square of the distance (R²) between their centers.
According to Newton's Universal Law of Gravitation, the force of gravity (Fgravity) is directly proportional to the product of the two masses and inversely proportional to the square of the distance between them.
This is mathematically represented as Fgravity = G * (M1 * M2) / R², where G is the constant of proportionality, known as the gravitational constant.
The mass of an object contributes to its gravitational pull; the more mass an object has, the greater its gravitational force. Similarly, distance plays a crucial role; as the distance between objects increases, the force of gravity decreases exponentially.
For example, if the distance between two objects is doubled, the gravitational force between them becomes one fourth of what it was at the initial distance.
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An astronaut on spacewalk floats a little to far from space station without air to push against he can’t paddle back however he is holding a hammer explain how he could use the hammer to get him back to space station l
Answer:
The astronaut can throw the hammer in a direction away from the space station. While he is holding the hammer, the total momentum of the astronaut and hammer is 0 kg • m/s. According to the law of conservation of momentum, the total momentum after he throws the hammer must still be 0 kg • m/s. In order for momentum to be conserved, the astronaut will have to move in the opposite direction of the hammer, which will be toward the space station.
Explanation:found this as a verified answer on here
Answer:
He can throw the hammer in the direction opposite to the direction he wants to travel in. The hammer will exert an equal and opposite force on him, as per Newton's third law, and this will help him move towards the space station
Explane
above
Give the general name for the type of quantity that has magnitude and acts in a particular direction.
Answer:
Vector quantity
Explanation:
physical quantity that has both magnitude and direction is called vector quantity.
Answer:
Vector
Explanation:
A vector is a quantity that is composed of a magnitude and a direction.
Some examples of vectors are forces. A force has a magnitude that indicates how large or small it is, and also has a direction that indicates where this force is being exerted.
Another popular example of a vector is velocity.
3. A car drives horizontally off of a cliff that is 40 meters tall and lands 65 meters from the base of
the cliff. What was the initial velocity of the car?
Answer:
23 m/s
Explanation:
First, find the time it takes for the car to fall 40 meters.
y = y₀ + v₀ t + ½ at²
0 = 40 + (0) t + ½ (-9.8) t²
0 = 40 − 4.9 t²
t = 2.89 s
Next, find the velocity needed to travel 65 meters in that time.
x = x₀ + v₀ t + ½ at²
65 = 0 + v₀ (2.89) + ½ (0) (2.89)²
v₀ = 22.75 m/s
Rounding to two significant figures, the car's initial speed was 23 m/s.
Classify the waves as being mechanical or electromagnetic. microwave ocean wave seismic wave radio wave
Answer:
Micro waves and radio waves are electromagnetic waves while ocean wave and seismic wave are mechanical waves.
Explanation:
Electromagnetic waves do not require a medium for propagation. They can travel along vacuum just like they travel through matter.
Further examples of electromagnetic waves are x rays, infrared waves etc.
Spectrum of electromagnetic waves in the increasing order of frequency is radio waves, microwaves, infrared waves, visible light, ultraviolet, x ray, gamma ray.
Mechanical waves require a medium for propagation. Thus they cannot travel through a vacuum.
Sound wave is an example of mechanical wave.
Final answer:
Microwaves and radio waves are electromagnetic waves that do not require a medium to travel, whereas ocean waves and seismic waves are mechanical waves that require a medium for their propagation.
Explanation:
Waves can be broadly classified into two categories: mechanical waves and electromagnetic waves. This classification is based on whether the waves require a medium to travel through or not.
Microwave and radio wave are types of electromagnetic waves. These waves do not require a medium to travel and can move through the vacuum of space. Examples of electromagnetic waves include light, radio waves, and X-rays.Ocean wave and seismic wave are categorized as mechanical waves. They require a medium (such as water, air, or the Earth's interior) to travel. Ocean waves move through water, while seismic waves travel through the Earth's crust.To summarize, microwaves and radio waves are electromagnetic in nature, capable of traveling through a vacuum, whereas ocean waves and seismic waves are mechanical, needing a medium to propagate.
3. Order the following lengths from shortest to longest.
a. 400 millimeters
b. 22 kilometers
c. 170 meters
d. 3.3 centimeters
Answer: [tex]d < a < c < b[/tex]
[tex]3.3 cm < 400 mm < 170 m < 22 km[/tex]
Explanation:
Firstly, let's convert these length to meters [tex]m[/tex], in order to work with the same units:
a. 400 millimeters
[tex]400 mm \frac{1m}{1000 mm}=0.4 m[/tex]
b. 22 kilometers
[tex]22 km \frac{1000m}{1 km}=22000 m[/tex]
c. 170 meters
Here the lenght is already in meters
d. 3.3 centimeters
[tex]3.3 cm \frac{1m}{100 cm}=0.033 m[/tex]
Now that we have all the lengths in meters, we can order them from shortest to longest:
[tex]0.033 m < 0.4 m < 170 m < 22000 m[/tex]
or
[tex]d < a < c < b[/tex]
Can someone please tell me how to solve these question below.
16. A man stands on top of a 25 m tall cliff. The man throws a rock upwards at a 25 degree angle above the horizontal with an initial velocity of 7.2 m/s. What will be the vertical position of the rock at t = 2 seconds? What will be the horizontal position of the rock at that time?
Answer:
Vertical position of the rock after 2 seconds = 11.46 m
Horizontal position of the rock after 2 seconds = 13.06 m
Explanation:
Initial height = 25 m
Angle of throw = 25 degrees
Velocity of throw = 7.2 m/s
Horizontal velocity of throw = 7.2 cos 25 = 6.53 m/s
Vertical velocity of throw = 7.2 sin 25 = 3.04 m/s
Acceleration in horizontal direction = 0 m/s²
Acceleration in vertical direction = -9.8 m/s²
Vertical position of the rock at t = 2 seconds
We have equation of motion s = ut + 0.5at²
s = 3.04 x 2 - 0.5 x 9.81 x 2²
s = -13.54 m
Vertical position = 25 - 13.54 = 11.46 m
Horizontal position of the rock at t = 2 seconds
We have equation of motion s = ut + 0.5at²
s = 6.53 x 2 + 0.5 x 0 x 2²
s = 13.06 m
Horizontal position = 13.06 m
Vertical position of the rock after 2 seconds = 11.46 m
Horizontal position of the rock after 2 seconds = 13.06 m
Kepler's third law relates the period of a planet
to its orbital radius r, the constant G in Newton's law of gravi-
tation (F = Gm1m2/r^2), and the mass of the sun M.. What com-
bination of these factors gives the correct dimensions for the
period of a planet?
Answer:
√(r³ / (MG))
Explanation:
The dimensions of each variable are:
r = [m]
G = [m³/kg/s²]
M = [kg]
Multiplying M and G eliminates kilograms:
MG = [m³/s²]
The radius cubed divided by MG eliminates meters:
r³ / (MG) = [s²]
The square root gives us seconds:
√(r³ / (MG)) = [s]
Kepler's third law relates the time period of a planet to its orbital radius r, the gravitational constant G and the mass of the sun M, the combination of these factors gives the correct dimensions for the period of a planet would be √( 4πr³/GM)
What are Kepler's laws of planetary motion?There are three laws of Kepler as follows
The orbit of the planet is elliptical and the sun is present at one of the two focuses of the elliptical path followed by the revolving planet.
A line segment joining a planet and the Sun covers equal areas during equal intervals of the time period.
The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.
Think about a small mass M traveling in a circle around a large mass M. The centripetal force for mass m comes from gravity. Taking circular motion as an example and applying Newton's second law,
gravitational force balances the centripetal force
GMm/r² = mv²/r
GM/r = v²/r
Let us take a Time period of the orbital is P
v = 2πr/P
GM/r = 4πr²/P²
P² = 4πr³/GM
P = √( 4πr³/GM)
Thus the correct dimension for the time period in terms of the orbital radius (r), gravitational constant (G ), and the mass of the sun (M) would be √( 4πr³/GM).
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Gravitational pull is determined by
-the sun and stars
-acceleration and volume
-volume and mass
-mass and distance
Answer:
The gravitational pull is determined by the mass and distance.
Explanation:
According to Newton's law of universal gravitation
[tex]F = G\frac{m1.m2}{r^{2} }[/tex]
where F is the gravitational pull, G is gravitational constant, m₁ and m₂ are masses of bodies and r is the distance between them.
It can be seen from the above equation that F is directly proportional to the product of the masses and inversely proportional to the square of distance between them.
F ∝ m₁m₂
F ∝ 1/r²
When you are running, there is friction between your feet and the ground and
air resistance between your body and the air. Where does the extra energy
that keeps you moving come from?
OA) kinetic energy
OB) chemical potential energy
OC) potential energy of springs
OD) gravitational potential energy
Answer:
B) chemical potential energy
Explanation:
Your body uses chemical energy from the food you eat to power your motion.
A right triangle with the base labeled 40 meters and the height labeled 30 meters. The hypotenuse is a dotted arrow labeled R. What is the magnitude of the resultant vector? 10 meters 50 meters 1200 meters 2500 meters
Answer:
The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer
Explanation:
The resultant vector is the vector sum of two or more vectors
If the two vectors perpendicular to each other, then the magnitude of
the resultant vector is the square root of the sum of their squares
If x and y are two vectors perpendicular to each other, then the
magnitude of its resultant vector R is:
→ [tex]R=\sqrt{x^{2}+y^{2}}[/tex]
Lets solve the problem
A right triangle with the base labeled 40 meters and the height labeled
30 meters
The hypotenuse is a dotted arrow labeled R
→ The base and the height of the right triangle are perpendicular
→ The hypotenuse is the resultant vector of them
Assume that x represents the base of the triangle and y represents the
height of it
By using the rule above
→ x = 40 m , y = 30 m
→ [tex]R=\sqrt{x^{2}+y^{2}}[/tex]
→ [tex]R=\sqrt{(40)^{2}+(30)^{2}}[/tex]
→ [tex]R=\sqrt{1600+900}[/tex]
→ [tex]R=\sqrt{2500}=50[/tex]
The magnitude of the resultant vector R is 50 meters
can you help me??????????????????????????)?
Answer:
Velocity is a change in displacement over change in time and uses the units m/s.
Both are rates of change and can be positive or negative.
Acceleration is a change in velocity over change in time and uses the units m/s².
Explanation:
Velocity is the change in displacement over change in time, this makes it a rate of change. It can be positive or negative because it is a vector quantity. It uses the units m/s because that is a displacement unit over a time unit.
Acceleration is the change in velocity over change in time, this makes it a rate of change. It can be positive or negative because it is also a vector quantity. It uses the units m/s² (m/s/s) because that is a velocity unit over a time unit.
what is the best description of a wave
A wave is a disturbance that travels through space and matter, characterized by its wavelength, frequency, and amplitude.
Explanation:A wave is a disturbance or oscillation that travels through space and matter, transferring energy from one place to another. Waves are characterized by three main features: wavelength, frequency, and amplitude. The wavelength is the distance between two identical points on successive waves. The frequency refers to the number of wave cycles that occur in a second. The amplitude is a measure of the wave's height from the rest position.
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How are the input and output forces of the parts of a compound machine related?
Answer:
Within a compound machine, the output force of one simple machine becomes the input force of another simple machine.
In your own words, explain red shift and blue shift. Use at least two complete sentences to write your answer.
Answer:
Redshift and blueshift show how light shifts to shorter or longer wavelengths as objects in space move closer of farther away from us. People looking at an object that is moving away from them see light that has a longer wavelength than it had when it was produced (a redshift), while people looking at an source coming closer see light that is shifted to shorter wavelength (a blueshift).
how much force would be needed to move a car with the mass of 100kg to an acceleration of 5m/s/s?
Answer:
500 newton force is needed to move a car of mass 100kg to an acceleration of 5m/s/s.
Explanation:
As we know from Newton's second law of motion that force= F = m×a
=> F = 100 × 5 = 500 N
significant digits show the _____ of measurements and calculations.
1) accuracy
2) precision
A hockey puck slides across the ice with an initial velocity of 7.2 m/s. It has a deceleration of 1.1 m/s2 and is traveling toward the goal 5.0 m away. How much time does the goalie have to stop the puck
Answer:
0.74 s
Explanation:
We can solve the problem by using the following SUVAT equation:
[tex]d = ut + \frac{1}{2}at^2[/tex]
where
d = 5.0 m is the displacement
u = 7.2 m/s is the initial velocity
a = -1.1 m/s^2 is the acceleration (which is negative since it is a deceleration)
t is the time
Substituting numbers into the equation, we find:
[tex]5.0 = 7.2 t -0.55t^2\\0.55t^2 -7.2t + 5.0 = 0[/tex]
This is a second-order equation, whose solutions are given by:
[tex]t=\frac{-(-7.2) \pm \sqrt{(-7.2)^2-4(0.55)(5.0)}}{2(0.55)}[/tex]
And the solutions are
t = 0.74 s
t = 12.36 s
The solution we are looking for is the first one, because it corresponds to the first time at which the hockey puck has travelled the distance of 5.0 m, reaching the goal.
The goalie has approximately 6.55 seconds to stop the hockey puck. This is calculated using the motion equation v = u + at, taking into account that the puck is decelerating.
Explanation:This is a question of physics, specifically dealing with the concept of motion and deceleration. We use the equation of motion that relates final velocity (v), initial velocity (u), acceleration (a), and time (t): v = u + at. However, since the puck is decelerating, we are actually dealing with a negative acceleration.
Therefore, the equation becomes final velocity (0 m/s because it will eventually stop sliding) = initial velocity (7.2 m/s given) + acceleration (-1.1 m/s²) * time.
By rearranging this equation we can solve for time (t): t = (final velocity - initial velocity) / acceleration. So it then becomes t = (0 - 7.2) / -1.1. Solving this yields a time of approximately 6.55 seconds for the puck to stop.
Note: The distance to the goal does not play a role in the time it takes for the puck to stop sliding because the puck's motion is determined by its initial velocity and deceleration, not its destination.
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Anna heated 15 g of Substance A to obtain 5 g of Substance B, 4 g of Substance C, and a certain amount of Substance D. Which statement is correct?
The mass of Substance D was 10 g less than the mass of Substance A.
The mass of Substance D was 1 g greater than the mass of Substance B.
The mass of Substance A was equal to the total mass of Substance C and Substance D.
The mass of Substance A was equal to the total mass of Substance B and Substance D.
Answer:
The mass of Substance D was 1 g greater than the mass of Substance B.
Explanation:
15 g of A → 5 g of B + 4 g of C + x g of D
From the law of conservation of mass, Mass of D should be x = (15 - 5 - 4 ) g = 6 g
This is 1 g more than the mass of B and 2 g more than mass of C.
Thus, correct option is The mass of Substance D was 1 g greater than the mass of Substance B.
Which of the following is a way that microwaves and x-rays are similar?
A. They both have technological uses.
B. They are both high energy waves,
C. They are both to be exposed to at high doses.
D. They are both used to transmit information.
(I’m between A and B)
Answer:
A
Explanation:
In my opinion I'm pretty sure it's A because WE DO use microwaves and x-rays as techonological uses.
Answer:
A
Explanation:
which system of government has a leader that takes power by force
Answer:
The Autocratic system of governance
Explanation:
This is because,in Autocratic system of governance decision making is done by only individual. And his/her decision is final.
Answer:
The Autocratic system of governance
Explanation:
At summer camp, the swimming course runs the length (L) of a small lake. To determine the length of the course, the camp counselors measure the two "dry" legs of a right triangle. What is the length in meters of the swimming course in the figure below? A right triangle overlaps a lake. It has sides 25 and 40 meters. Hypotenuse labeled L goes through the lake.
Answer:
The length of the swimming course is 47.16 meters.
Explanation:
It is given that the right triangle overlaps the lake and hypotenuse L runs through the length of the lake. Thus length of the lake will be the length of this hypotenuse.
The instructors have conducted measurements of the right triangle and has found the legs to be 25 and 40 meters. The sum of squares of base and height of a right triangle gives the value of its hypotenuse according to Pythagoras theorem.
Thus [tex]h^2+b^2=H^2[/tex]
b - base
h - height.
[tex]40^2+25^2=1600+625=2225[/tex]
[tex]H=\sqrt{2225}=47.16 m[/tex]
(oof already know the answer but at less yall answer so i can add a brainliest) Is this true or false? Think about the differences between climate and weather and complete the following sentence:The short-term, constantly changing state of the air in an area is known as weather, while the conditions of an area over a long period of time is known as climate.
Answer:
True, the statement is correct
Answer:
True
Explanation:
Weather: It is the atmospheric condition for a small area over a short span of time. For example: cloudy weather. If one place is witnessing this condition it may or may not be same for all the places.
Climate: It refers to the atmospheric condition of an area over a long period of time for say a decade or a century. For example: the climate of the polar region is changing drastically and resulting in the reduction of glacial ice.
Bernoulli’s principle states that fluid velocity decreases when flow is restricted. True False
In the periodic table of elements, what do all of the elements in group 2 have in common?
Answer:
The correct answer is chemical properties.
Explanation:
In a group, the chemical properties are very similar, because all the elements of the group have the same number of electrons in their last or last layers. The electronic configuration of its last layer is the same, varying only the period of the element. Alkaline earth metals are harder than alkaline metals, have brightness and are good electrical conductors; less reactive than alkalines, good reducing agents and form ionic compounds.
Have a nice day!
wavelength if the wave
Answer:
A what? Is this even a question?
Explanation:
????
How are light and sound waves affected by the different media they travel though?
Final answer:
Sound waves, as mechanical waves, need a medium to travel and are affected by its properties, while light waves, which are electromagnetic, can travel through a vacuum. When light travels through media of different densities, it experiences changes in speed, leading to refraction and reflection, changing brightness and color perception.
Explanation:
Light and sound waves are fundamentally different in how they interact with various media they travel through. Sound waves are mechanical waves meaning they require a medium like air, liquid, or solid to travel. The density and elasticity of these media affect the speed and quality of sound, with denser media generally allowing faster sound transmission. Also, movements in the medium, such as wind, can also influence the speed and direction of sound waves.
On the other hand, light waves, being electromagnetic waves, do not require a medium and can travel through a vacuum. However, when they pass through different media, their speed can vary. In denser media, light waves slow down which can lead to phenomena such as refraction (bending of the light) or reflection. The changes in speed and direction make light interact with objects differently, often affecting the brightness and color as perceived by the observer.
Which of the following do you calculate
when you divide the total distance trav-
eled by the total travel time?
a granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass of the monument to the nearest tenth.
The mass of the granite monument is
g.
Answer:
The mass of the monument (to the nearest tenth) where volume of the granite monuments is [tex]25,365.4 \mathrm{cm}^{3}[/tex] and density of the granite is [tex]2.7 g / \mathrm{cm}^{3}[/tex] is 68,486.6 g
Explanation:
Given:
Volume of the granite monument, p[tex]=25,365.4 \mathrm{cm}^{3}[/tex]
density of granite, [tex]V=2.7 \mathrm{g} / \mathrm{cm} 3[/tex]
To find:
The mass of the monument to the nearest tenth= ?
Solution:
Step 1:
mass of the monument ,[tex]m=p V \text { grams }[/tex]
step 2:
[tex]m=p V[/tex]
substituting the values,
m[tex]=(25,365.4)(2.7)[/tex]
m[tex] =68,486.58 g[/tex]
m [tex]= 68,486.6 g[/tex] (rounding off to nearest tenth)
Result :
The mass of the monument (to the nearest tenth) where volume of the granite monuments is [tex]25,365.4 \mathrm{cm}^{3}[/tex] and density of the granite is [tex]2.7 \mathrm{g} / \mathrm{cm}^{3}[/tex] is 68,486.6 g.
The mass of the granite monument is 68,486.58 g which has a volume of [tex]25364.4 cm^{3}[/tex] and density of [tex]2.7 gcm^{-3}[/tex].
Given data:
To calculate the mass of the granite monument, we can use the formula:
mass = density * volume
Given that the density of granite is [tex]2.7g cm^{-3}[/tex] and the volume of the monument is [tex]25364.4 cm^{3}[/tex]
we can substitute these values into the formula:
mass = 2.7 * 25,365.4
Calculating the mass:
mass = 68,486.58 g
To express the mass in kilograms, we can divide by 1000 (since there are 1000 grams in a kilogram):
mass = 68,486.58 g / 1000 kg
Calculating the mass in kilograms:
mass = 68.48 kg
Hence, the mass of the granite monument is approximately 68.57 kg, rounded to the nearest tenth.
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I give a ball a push on an acclivity. The "start velocity" is on 7m/s. The time it took the ball to get back to me was 10 seconds. The acceleration is a constant. How much is the acceleration?
Answer:
7÷10
Explanation:
initial velocity=7m/s
final velocity=0m/s
Answer:
-1.4 m/s²
Explanation:
The initial velocity is 7 m/s. When the ball rolls back, its velocity is -7 m/s.
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (-7 m/s − 7 m/s) / 10 s
a = -1.4 m/s²
pls how to solve this problem. help would be appreciated
Answer:
80 m/s
Explanation:
Given:
a = -5 m/s²
v = 0 m/s
Δx = 640 m
Find: v₀
v² = v₀² + 2a(x − x₀)
(0 m/s)² = v₀² + 2(-5 m/s²) (640 m)
v₀ = 80 m/s