If it takes 4.6 seconds for an object to fall a certain distance from rest on earth, then it would take 10.29 seconds to fall the same distance on planet X.
What are the three equations of motion?There are three equations of motion given by Newton,
v = u + at
S = ut + 1/2×a×t²
v² - u² = 2×a×s
Keep in mind that these calculations only apply to uniform acceleration.
As given in the problem, The acceleration due to gravity on planet X is one-fifth that on the surface of the earth. If it takes 4.6 s for an object to fall a certain distance from rest on earth, then we have to find how long would it take to fall the same distance on planet X,
By using the second equation of motion given by newton,
Let us suppose the acceleration due to gravity on the earth is 10 m / s²
S = ut + 1/2at²
= 0 + 0.5×10×4.6²
= 105.8 meters
The acceleration due to gravity on planet X = 2 meters / second
S = ut + 1/2at²
105.8 = 0 + 0.5×2×t²
t² = 105.8
t = 10.29 seconds
Thus, it would take 10.29 seconds to fall the same distance on planet X
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You measure the mass of a 0.500 kg (500 g) standard on your balance four times. The following measurements result: 492 g, 507 g,
505 g, 496 g.
Which choice best describes your balance?
not precise and not accurate
not precise but accurate
precise but not accurate
precise and accurate
If the measurement is taken for four different times for same weight and is always different then the balance is precise but not accurate.
What are ways to measure mass?There are numerous instruments available for measuring mass in various settings. The use of gravitational interaction between objects is one of them, along with balances and scales, measurement transducers, vibrating tube sensors, Newtonian mass measurement devices, and balances and scales.
The kilogram, which is defined as equal to 6.6260 x 10³⁴joule second in terms of Planck's constant, is the unit of mass in the International System of Units (SI). A joule is equal to one kilogram multiplied by one square meter per second.
A beam balance is always used to determine mass. Because a spring balance measures weight rather than mass, it will read differently depending on where you are on the planet.
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Photons are shone on a piece of metal and one electron is ejected for each absorbed photon. What happens when the wavelength of light is decreased?.
When the wavelength of light is decreased the ejected electrons would have greater kinetic energy.
What is kinetic energy?A kind of energy that an item or particle possesses as a result of its mobility is known as kinetic energy.
When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and consequently obtains kinetic energy.
An object's kinetic energy is the energy it has as a result of motion.
Kinetic energy is the force that drives an object's motion.
Kinetic energy can be found in moving objects such as a bullet traveling at high speed or a person walking.
The energy brought on by the random, continuous bouncing of atoms or molecules is another illustration of kinetic energy.
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All gases exhibit ideal behavior in low pressure situations because when the pressure is very low, the gas particles are.
Gases move slower at temperatures not pressures.
What happens to gas at low pressure?The average kinetic energy of the gas particles falls as the temperature rises. Because of this, a greater percentage of gas molecules lack the kinetic energy needed to repel intermolecular forces generated by nearby atoms.As air pressure drops, the air spreads out or expands more widely. There is a consequent drop in temperature.The temperature of a gas is directly proportional to its pressure for a constant volume of gas in a sealed container, according to the pressure law.The amount of oxygen available to breathe likewise reduces when the pressure drops. At very high altitudes, the oxygen levels and air pressure are so low that individuals can get sick or possibly pass away.All gases exhibit ideal behavior in low-pressure situations because when the pressure is very low, the gas particles are:
Far apart and rarely interacting
- gases move slower at temperatures, not pressures.
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Rate of acceleration for a 5 kg grocery cart that’s being pushed with 50 N
Rate of acceleration for a 5 kg grocery cart that’s being pushed with 50 N is 10 m/sec^2. The value of acceleration can be calculated with the help of following formula Fnet = m . a
What is the calculation of the above problem?Fnet is the net force acting on the shopping cart
m is the mass of the grocery cart
a is the acceleration of the shopping cart
So on using the formula we get
Fnet = m . a
So on putting the values we get
Fnet = 50 N
m = 5kg
a = ?
50 = 5.a
On calculating we get the value of acceleration
a = 10 m/sec^2
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A car accelerates from a velocity of 100ms-1 to a final velocity of 20ms-1 in 10 seconds.Find it's deceleration.
The deceleration of the car from a velocity of 100ms-1 to a final velocity of 20ms-1 in 10 seconds is 8ms-2.
We are aware that acceleration refers to an object's rate of increase in speed, and deceleration refers to an object's rate of decrease in speed.
Because it must be reported as a magnitude and a direction, acceleration is a vector. Negative and positive signs are used to denote the direction in circumstances of one-dimensional motion. Negative indicators indicate that the object is slowing down.
The unit of measurement is the meter per second square, or ms-2.
We know that
v= u + at,
where,
v= final velocity
u= initial velocity
t= time
a= acceleration
According to the question,
u= 100ms-1
v= 20ms-1
t= 10s
a=?
so, v = u + at
substituting the values in the equation, we get:
20 = 100 + 10a
a= -8 ms-2
Here, the negative sign shows that the car is decelerating,
Thus, deceleration is 8ms-2.
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. You roll a tennis ball a distance of 18 meters. It takes 6 seconds to cover the distance. What is the average speed of the tennis ball?
I got 3 as an answer am I right
all I can offer is 14 points since that's all I have left lol
The average speed of the tennis ball is 3 m/s.
What is average speed?Average speed can be defined as the ratio of the total distance to the total time covered by the body. The S.I unit of average speed is m/s.
To calculate the formula below.
Formula:
S = d/t............... Equation 1Where:
S = Average speed of the balld = Total Distancet = Total time.From the question,
Given:
d = 18 meterst = 6 secondsSubstitute these values into equation 1
S = 18/6S = 3 m/sHence, The average speed of the tennis ball is 3 m/s.
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An accelerometer is a device that uses the extension
a spring to measure acceleration in terms of Earth's gravitational acceleration (g). What is
the approximate acceleration if this accelerometer spring is extended just 0.43 centimeters?
Answer:
your question explains that an accelerometer is a device that uses the extension spring to measure acceleration in terms of Earth's Gravitational accelerations. So if this device is extended just 0.43 centimeters the possible accelerations is letter B. 0.80 g
At a construction site, a 1.50kg brick is dropped from rest and
hits the ground at a speed of 26.0m/s. Calculate the
gravitational
energy of the brick before it was dropped.
The gravitational energy of the brick before it was dropped was 507.15 J.
Let us assume that the brick is dropped from the rest at a height of h meters above the ground and reaches the ground at a speed of 26.0 m/s.
Given in question
Initial Velocity = u = 0 m/s ( dropped from rest )
Final Velocity = v = 26.0 m/s
Acceleration = a = g = 9.8 m/s
Using the third equation of motion,
v² - u² = 2ah
Put in the values, we get
(26)² - (0)² = 2×9.8×h
19.6h = 676
h = 676/19.6
h = 34.5 meters
So the brick was at the height of 34.5 meters before it was dropped. The gravitational potential energy of the body is given by
U = mgh, where
m = mass = 1.5 kg
g = acceleration due to gravity = 9.8 m/s²
h = height above the ground = 34.5 m
Put in the values, we get
U = 1.5×9.8×34.5 J
U = 507.15 J
Therefore, the gravitational energy of the brick before it was dropped was 507.15 J.
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A bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s2, how long (t) was the bullet in the air?
Answer: well
Explanation:
Assuming the bullet fired is a 32-gram .458 Winchester Magnum then it will take from 3.386 seconds to cover 1500 meters at 20∘C to 3.404 seconds to cover 1474.6 meters at 0∘C. You cannot assume there is no air resistance without the result being incorrect by about 500 meters.
A runner is jogging in a straight line at a steady [tex]v_{r}[/tex]= 4.5 km/hr. When the runner is L= 8.1 km from the finish line, a bird begins flying straight from the runner to the finish line at [tex]v_{b}[/tex]= 13.5 km/hr (3 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.
What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a “zero” length bird), travels in a straight line, and that it can turn without loss of speed. Answer in units of km.
After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line.
How far does the bird travel from the beginning (including the distance traveled to the first encounter)? Answer in units of km.
Answer: 1325t miles
Explanation: you have to divide all of them
If the density of an object is 9.331 x 10−2 lbs/cubic inch, what is its density in g/cm3?
A substance's density is defined as its mass per unit of volume. Density is most frequently represented by the symbol ρ, however Latin letter D may also be used.
If the density of an object is 9.331 x 10−2 lbs/cubic inch, what is its density in g/cm3?
9.331 x 10−2 lbs/cubic inch = 258 281 190,85 g/m³
To calculate the density:
Determine an object's weightFind out an object's volume.Weight to volume ratio.Alternately, switch the unit.The following is the density formula:
D = m/v, where D = Density, m = mass, v = volume.
Write down the data and the density equation, solve for the mass, add the density to the volume, then multiply the result to get the density in grams.
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O
The average speed of a dog who walks 30 Km in 120 seconds is
0.004 m/s
0.25 m/s
13200 m/s
250 m/s
Doba
Deci
Centi
Answer:
250 m/s (VERY fast !)
Explanation:
30 km = 30 000 m
30 000 m / 120 s = 250 m/s
What advantages does a large diameter astronomical telescope have over a telescope of a smaller diameter?.
Larger diameter, capabilities of the better gathering of light, and better resolving power are those advantages that a large diameter astronomical telescope has over a telescope of a smaller diameter.
The larger the lens or mirror which is having the diameter or aperture, the telescope will then gather more light and will be at higher resolution as the viewer has the chance to see fine in detail it can. Larger scopes also have focal lengths of longer size, which means the magnifications will be greater and the sizes of images are possible with accessibility by both the eye as well as the camera.
A larger telescope mirror is a type that allows us to view the fainter objects farther into the region of space, therefore the larger one in round nature is better. The shape does not matter just as long as it can bring light to the focus point.
Large telescopes will be having several merits over their smaller counterparts, and the concerned resolution will be as how much in detail we are able to see a celestial object is the first priority. Generally, the resolution depends mainly on two things the stability of the atmosphere as well as the aperture present in your telescope. The user can only control any one of these factors.
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A juggler throws two balls in the air. She throws the first ball up with a velocity of 9. 8 m/s. She throws the second ball up with a velocity of 14. 7 m/s. How long after catching the first ball will she catch the second?.
Juggler will catch the second ball 1 second after catching the first ball as the first ball comes down 1 second earlier than the second.
Two balls are thrown into the air. The first ball goes up with a velocity of 9.8m/s and the second ball goes with a velocity of 14.7m/s. We have to find out the Time difference between the balls when both of them land in the hand. We have Newton's first equation : v = u + at => t = (v-u)/a
where, v = Final velocity, u = Initial velocity, a=g = Acceleration of gravity, and t = Time
For First ball, v1 = 9.8m/s, u1 = 0, g = 9.8 (acceleration for gravity), t1 = time and multiplying the equation by 2 for marking journey of balls for both going up and down
=> t1 = 2(v1-u1)/g => t1 = (9.8-0)/9.8
=> t1 = 2 seconds
For second ball, v2 = 14.7m/s, u2 = 0, g = 9.8 (acceleration for gravity),
t2 = time & multiplying the equation by 2 for marking journey of ball for both going up and down => t2 = 2(v2-u2)/g
=> t2 = (14.7-0)/9.8 => t2 = 3 seconds
Difference between the time taken by both balls t = t2-t1
=> t = 1 second
So the second ball lands after 1 second.
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A stone dropped from a cliff hits the ground 3 s later. find the speed with which the stone hits the ground, and the distance it fell.
The speed as the stone hits the ground is 29.4 m/s
The distance at which the stone fell is 44.1 m.
What is speed?Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, velocity is a vector, whereas speed is a scalar value.
An example of an amphetamine is speed. It is a central nervous system stimulant that releases significant amounts of dopamine. Dopamine is a neurotransmitter in the brain linked to reward and pleasure.
Although it is occasionally used to refer to other amphetamines, speed is the street name for amphetamine sulphate. It typically appears as an off-white or pinkish powder and occasionally as crystals. It can also be found in the form of a paste, which is often white, grey, or brown in color and can be grippy and wet.
Speed can be defined as the ratio of distance to time.
(a) To calculate the speed at which the stone hit the ground, we use the formula below.
Formula:
v = u+gt............ Equation 1
Where:
v = Final speed of the stone
u = Initial speed of the stone = 0 m/s
t = time = 3 seconds
g = acceleration due to gravity = 9.8 m/s²
Substitute the values above into equation 1
v = 0+3×9.8
v = 29.4 m/s
(b) To calculate the distance the stone fell, we use the formula below.
S = ut+gt²/2........... Equation 2
Where:
S = Distance
Solving for S by substituting into equation 2
S = (0×3)+(9.8×3²)/2
S = 44.1 m
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Consider three forces p1, p2, and p3 such that p1 = 20 lb, p2 = 45 lb, and p3 = 46 lb. determine the direction of the resultant of the three forces.
The direction of the resultant of the three forces can be seen as resultant is 78.25 lb and its direction can be calculated as [tex]\theta[/tex] =65.19°.
CalculationTo find component in x-direction,
Fx = p3 cos(30) + p2 cos (30+45) - p1 cos (40)
Fx = 46 cos(30) + 45 cos (75) - 20 cos (40)
Fx = 46x 0.866 + 45x 0.2588 - 20x 0.766
Fx = 39.836+11.646-15.32
Fx = 36.165 lb
To find component in y direction,
Fy = -p3 sin(30) - p2 sin (30+45) - p1 sin(40)
= -[ 46x 0.5 + 45x 0.96 + 20x0.16]
= -[23 + 43.2 + 3.2]
= - 69.4 lb
Fr = [tex]\sqrt{fy^{2} +fx^{2} }[/tex]
=[tex]\sqrt{(-69.4)^{2} + (36.165)^{2} }[/tex]
=[tex]\sqrt{4816.36+1307.9}[/tex]
=[tex]\sqrt{6124.26}[/tex]
= 78.25 lb
Then to find [tex]\theta[/tex]
[tex]\theta\\[/tex] = [tex]tan^{-1} \frac{fy}{fx}[/tex]
=[tex]tan^{-1}[/tex] (78.25/36.165)
= [tex]tan^{-1}[/tex] (2.163)
= 65.19°
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A lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above. After several seconds, the gazelle notices the lion and accelerates directly toward him, hoping to pass the lion and force him to reverse direction. As the gazelle accelerates toward and past the lion, the lion changes direction and accelerates in pursuit of the gazelle. The lion and the gazelle eventually each reach constant but different speeds. Which of the following sets of graphs shows a reasonable representation of the velocities of the lion and the gazelle as functions of time?
The graph shown in the first option shows a reasonable representation of the velocities of the lion and the gazelle as functions of time, therefore the correct answer is option A.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem if a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above.
Thus, the correct answer is option A.
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Resolve a vector of 50 km at 35° south of West into its x and y components
Answer:
See below
Explanation:
With N at 0 degrees
35 degrees south of west becomes 90 + 35 = 125 °
x component 50 km cos 125 = - 28.7 km
y component 50 km sin 125 = 41 km
Which model best represents the results the student would expect to see if the dialysis bag filled with a 5% starch solution is placed in distilled water for one hour?.
The model that best represents this phenomenon is called Osmosis
In osmosis, a semi-permeable membrane allows the solvent to pass from a higher solvent concentration to a lower solvent concentration (or, to put it another way, from a lower solute concentration to a higher solute concentration).
As a result, the dialysis bag with the highest concentrated starch solution will absorb the most water from the outside (present in the beaker).
Line A thus displays the information gathered from the bag containing the highest concentrated starch solution.
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(5)_____ states that "the of an object is equal to the on an object divided by the mass of the object.
Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object."
Newton's second law of motion is also called the law of acceleration as it tells us about the acceleration of a moving object under the influence of an unbalanced force or net force not equal to zero.
According to the law, the acceleration of an object is directly proportional to the force on the object and inversely proportional to the mass of the object.
Acceleration a ∝ Force F ....1
Acceleration a ∝ 1/Mass m ....2
From 1 and 2 Acceleration a = [tex]\frac{Force}{Mass}[/tex]
Therefore, Newton's second law of motion states that "the acceleration of an object is equal to the force on an object divided by the mass of the object."
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An object with a negative acceleration can
have a positive velocity
Answer:Is it possible to have positive acceleration with a negative velocity?
Explanation:An object which moves in the positive direction has a positive velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a negative acceleration).
A boat sailed for 7 hours at the speed of 80 km per hour it changed its speed to 95 km per hour for the next 6 hours how far had the boat sailed in kilometers
The boat had sailed 1130km.
How to find how far the boat had sailed?Initial Boat travel time = 7 hours.
The boat's initial speed is 80 km/h
The boat's current speed is 95 km/h.
Boat travel time at present = 6 hours.
Total nautical miles traveled =?
Solution:
Speed = distance / time.
The distance = Speed * Time
1. Distance = 80 km/h x 7 hours
Distance = 560 km
2. Distance = 95km/h x 6hours
Distance = 570 km
Hence, total distance = 560km + 570km
= 1130km
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A planet with a mass of 1 x 1024 kg has a radius of 4,940 km (4,940,000 m). what is the acceleration due to gravity at its surface?
Answer:
9.8 m/s2
Explanation:
the Acceleration is due and represented by g and the answer to that is 9.8 m/s2
How could you test to see if your specimen will grow and how does that relate to cell theory
The correct answer is Every living thing is formed of cells. When an old cell dies, a new cell is created.
All living things are primarily composed of cells, which serve as both the basic structural and organisational unit of all living things. According to the biological notion known as "cell theory," all cells are descended from previously existing cells. In the middle of the nineteenth century, it was initially put forward. All living things are composed mostly of cells, which also serve as the fundamental unit of reproduction. The cell theory is based on the following three basic postulates:
Every living thing is made up of one or more cells.The fundamental unit of structure and organisation in organisms is the cell.New cells are created from pre-existing cells.To learn more about cell theory refer the link:
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when is the ideal time to take a resting heart rate
According to doctors and health experts, resting heart rate should be taken before doing any physical activity. It is ideal to take your resting heart rate first thing in the morning.
The resting heart rate of an individual is of great importance in a medical examination as it is indicative of various infections or heart-related problems, if any, present in the individual.
The resting heart rate of any healthy individual falls between the range of 60 to 100 beats per minute. A resting heart rate below 60 and above 100 beats per minute, without any direct reason such as heavy exercise and physical exertion might be indicative of a serious developing heart condition; and the particular individual should consult a doctor.
The ideal time to take a resting heart rate is during resting time. It should be taken first thing in the morning before even coming out of bed. Resting heart rate should not be taken immediately after exercising or a workout.
Therefore, the ideal time to take resting heart rate is early in the morning before leaving the bed and doing any sort of physical activity.
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Two students added a vector for a moving object’s position at t=2s to a motion diagram. When they compared their diagrams, they found that their vectors did not point in the same direction. Explain
They found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.
What is vector addition?Vector addition is the operation of adding two or more vectors together into a vector sum. For two vectors, the vector sum is obtained by placing them head to tail and drawing the vector from the free tail to the free head.
When the two students added a vector for a moving object’s position at t=2s to a motion diagram. They found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.
Thus, they found out that their vectors did not point in the same direction because the two students observed the vector's motion from opposite direction.
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Ik this is super simple so I’m just gunna look it up if no body responds but what’s the formula for the Area of a triangle
The answer is:Area=1/2×b×h
Answer:
A= b×h ÷ 2
Explanation:
The Area of a triangle formula is the Base multiplied by the Height, then divided by 2
bathyscaphes are capable of submerging to great depths in the ocean. what is the pressure at a depth of 5 km, assuming that seawater has a constant specific gravity of sg
Water depth Bathyscaphes can submerge at a depth of h=5 km=5000 m.
the seawater's particular weight,
γ=10.1kN/m3
Through the equation, the density of the seawater and its specific weight are connected.
γ=ρg→(I)
where rho is the seawater's density and g is the acceleration brought on by gravity.
Given is the pressure at a depth of h meters. ,
P=ρgh→(II)
When equation I is substituted, equation (ii),
P=γh
About substituting
P=10.1×103×5000=50.5×106Pa=50.5MPa
1 Pascal =1.45×10−4psI
50.5 MPa corresponds to
50.5MPa=50.5×106×1.45×10−4psI=7322.5psI
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I WILL MARK U BRAINLIEST IF U COULD ANSWER THIS QUESTION!
Why should we learn atomic theory? If it is probably incorrect in some way and will undoubtedly change, why do we spend time learning about it?
Answer: The atomic theory is important because it describes the composition of the atom and the properties of the subatomic particles as well as their behavior.
Explanation:
Even if our grasp of atomic theory may continue to develop throughout time, learning about it is still important for a number of reasons.
Thus, Atomic theory gives the fundamental ideas for comprehending matter behaviour and interactions between atoms and molecules, which forms the basis of modern chemistry.
It serves as the cornerstone of contemporary chemistry and provides insight into a number of chemical processes.
The development of atomic theory throughout millennia has been shaped by the efforts of numerous scientists. It has roots in antiquity.
Thus, Even if our grasp of atomic theory may continue to develop throughout time, learning about it is still important for a number of reasons.
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The gusset plate is subjected to the forces of three members. determine the tension force in member c and its angle, , for equilibrium. the forces are concurrent at point o. take f = 8 kn.
The tension force would be 7.62N. Its angle of equilibrium would be 70.23°
CalculationFor equilibrium,
for direction X,
Tcos([tex]\theta[/tex]-36.87°) = 8cos (36.87°) → 1
For direction Y,
9 = 8sin36.87° + Tsin([tex]\theta\\[/tex]-36.87°)
Tsin([tex]\theta\\[/tex]-36.87°) = 9- 8sin(36.87°) → 2
Now dividing equation 2 by 1,
tan([tex]\theta\\[/tex]-36.87°) = [tex]\frac{9-8*3/5}{8*4/5}[/tex]
tan([tex]\theta\\[/tex]-36.87°) = 0.66
[tex]\theta\\[/tex] - 36.87°= [tex]tan^{-1}[/tex](0.66)
[tex]\theta\\[/tex] - 36.87° = 33.42°
⇒ [tex]\theta[/tex] = 40.29°
Now from equation 1,
Tcos(33.42°) = 8cos(36.87°)
T = [tex]\frac{8*4/5}{0.84}[/tex]
T = 7.62N
Thus, we get the tension force as 7.62N
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