Answer:
.50 M
Explanation:
5*.50=2.5 + 2*.25=.5 = 3n
6*.50= 3N
Final answer is .50M
An object is attached to a trolley with a 0.80 kg mass, which is then pushed into an identical trolley at a speed of 1.1 m / s. The two trolleys couple together and move at a speed of 0.70 m / s after the collision. Calculate the mass of the object.
The mass of the object is approximately 0.457 kg.
The mass of the object attached to the trolley can be calculated using the principle of conservation of momentum. Since the two trolleys couple together and move as a single system after the collision, the total momentum before and after the collision should be the same. Given the mass of one trolley is 0.80 kg and the initial speed is 1.1 m/s, the momentum before the collision is 0.80 kg * 1.1 m/s = 0.88 kg·m/s. After the collision, the total mass is the sum of the two trolleys, and the final speed is 0.70 m/s.
Using the momentum equation, the mass of the object can be calculated as follows:
Total momentum before collision = Total momentum after collision
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
Solving for the mass of the object, we get:
0.88 kg·m/s = (0.80 kg + mass of the object) * 0.70 m/s
0.88 kg·m/s = 0.56 kg + 0.70 kg * mass of the object
0.88 kg·m/s - 0.56 kg = 0.70 kg * mass of the object
0.32 kg = 0.70 kg * mass of the object
Dividing both sides by 0.70 kg, we find:
mass of the object = 0.32 kg / 0.70 kg = 0.457 kg
The two trolleys collide and couple together, the total momentum before the collision is equal to the total momentum after the collision according to the principle of conservation of momentum.
The momentum of an object is defined as the product of its mass and velocity. In this case, the mass of one trolley is known (0.80 kg) and the initial speed is given (1.1 m/s), allowing us to calculate the momentum before the collision.
After the collision, the two trolleys move together at a new speed (0.70 m/s). By setting the initial momentum equal to the final momentum and solving for the unknown mass of the object, we can find its value.
In the calculation, we subtract the masses of the two trolleys from the total mass in order to isolate the mass of the object.
Dividing the difference in momentum by the product of the known mass and the new speed, we obtain the mass of the object. In this case, the mass of the object is approximately 0.457 kg.
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P2: Explain in detail - How can the motion of an object that is not moving change? (What are the different ways a static object can change its movement?)
Inertia: tendency of an object to resist changes in its velocity. An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion (i.e., velocity) unless acted upon by an unbalanced force.
How is cold front formation different from stationary front formation?
Stationary fronts form between warm and cold air masses, while cold fronts form when a cold air mass advances against a warm air mass.
Cold fronts form between two air masses that barely move, while stationary fronts form when a warm air mass is trapped between two cold air masses.
Cold fronts form when a warm air mass moves over a cold air mass, while stationary air fronts form when a cold air mass moves over a warm air mass.
Stationary fronts form when a warm air mass is trapped between two cold air masses, while cold fronts form when a warm air mass moves over a cold air mass.
Mark this and return
Answer:
A
Explanation:
How much would a 10 kg suitcase weigh on the surface of…?
a substance that turns litmus paper blue and contains hydroxide ions is most likely
Answer:
If it turns the paper blue it would have to be a base.
Explanation:
I hope that answers your question!
Answer:
If it turns the paper blue it would have to be a base.
Explanation:
I hope that answers your question!
A swimmer, capable of swimming at a speed of 1.4 m/s in still water (i.e., the swimmer can swim with a speed of 1.4 m/s relative to the water), starts to swim directly across a 2.8-km-wide river. However, the current is 0.91 m/s, and it carries the swimmer downstream. (a) How long does it take the swimmer to cross the river?
(b) How far downstream will the swimmer be upon reaching the other side of the river?
(a) The swimmer needs 3000 seconds before take a bath across that whole river.
(b) D = 2730 meters, which represents how far downstream the swimmer will be when they cross the river.
What does the term "downstream" mean?Two miles downstream, in the course of or closer to the entrance of a stream drifting downstream. in or around the end of a typical industrial process and the stages after fabrication that increase earnings for downstream products.
What is a river's downstream?Downstream It is referred to as downstream if somehow the boat is moving downwards of the stream. The downstream speed in this situation refers to the boat's net speed. In this situation, still water is seen as being immobile.
Briefing:Time = ?
d / v = t
3000 m / 1.0 m/s
T = 3000 s
Distance = ?
t * v = d
3000 s * 0.91 m/s
D = 2730 m
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Is Saturn less dense than water which has a
density of 997 kg/m³? Find out by calculating the density of Saturn in kg/m³. The mass of Saturn is 5.68 x 1026 kg, and its radius is 5.6 x 107 m.
Density of Saturn:
The density of water at STP, which is \(997 kg/m^3\), we can see that Saturn is less dense than water.
To determine whether Saturn is less dense than water, we must compute its density and compare it to the density of water at standard temperature and pressure (STP), which is \(997 kg/m^3\).
Saturn's density can be computed using the following formula:
density equals mass divided by volume
Saturn's mass and volume may be computed given its mass and radius.
The volume of Saturn can be determined using the sphere volume formula:
volume =\((4/3) \pi (r^3)\)
where r is Saturn's radius.
Filling in the blanks:
volume = \((4/3) \pi (5.6 \times 107) m^3\)
8.27 x 1023 \(m^3\)volume
Saturn's mass is given as \(5.68 \times 10^{26} kg.\)
We can now compute Saturn's density:
density equals mass divided by volume
density= \((5.68 x 10^{26 }kg\)) /\((8.27 \times 10^{23 }\)m³) a density of\(687 kg/m^3\)
This is due to the fact that Saturn is mostly made up of hydrogen and helium, which are far less dense than water. In reality, Saturn is the least dense planet in the Solar System, and it would float in a large enough body of water.
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Object 1 with mass 1=3.25 kg
is held in place on an inclined plane that makes an angle
of 40.0∘
with the horizontal. The coefficient of kinetic friction between the plane and the object is 0.535.
Object 2 with mass 2=4.75 kg
is connected to object 1 with a massless string over a massless, frictionless pulley. The objects are then released.
Calculate the magnitude
of the initial acceleration.
Calculate the magnitude
of the tension in the string once the objects are released.
The magnitude of the initial acceleration of the object is 4.2 m/s².
The tension in the string once the object starts moving is 13.65 N.
What is the magnitude of the initial acceleration?The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;
F(net) = ma
m₂g - μm₁g cosθ = a(m₁ + m₂)
where;
m₁ and m₂ are the masses of the blocksg is acceleration due to gravityμ is coefficient of frictionθ is the angle of inclinationa is the acceleration(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)
33.5 = 8a
a = 33.5/8
a = 4.2 m/s²
The tension in the string once the object starts moving is calculated as;
T = m₁a
T = 3.25 x 4.2
T = 13.65 N
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How does the nature of heat explain the occurrence of high temperature in a human body that has a fever?
Explanation:
THE BODY INCREASES THE RATE OF HEAT LOSS TO BALANCE THE HEAT BURDEN.Which of the following would most likely produce the strongest magnetic
field?
A. A single moving electron
B. A stationary electric charge
C. A current in a straight wire
D. A current in a coil
Answer:
I current in a coil,,,,,,
Answer:D?
Explanation:
Sorry if i'm wrong....
What is the average velocity of a car that travels 12 kilometers in 0.20 hours?
Answer:
60 km/hr
Explanation:
Looking for km / hr
12 km / (.20 hr) = 60 km/hr
A free falling asteroid is experiencing a force of gravity of 903 newtons. How much work, in joules, does gravity do on the asteroid over a distance of 126 meters?
Answer:
Workdone = 113778 Joules
Explanation:
Given the following data;
Force = 903N
Distance = 126m
To find the workdone;
Workdone = force * distance
Substituting into the equation, we have
Workdone = 903 * 126
Workdone = 113778 Joules
Therefore, the amount of work, in joules, the gravity did on the asteroid is 113778.
I don't know understand how to approach this problem.
The centripetal acceleration of the plane is 0.255 g.
What is centripetal acceleration?
centripetal acceleration is the rate at which a body moves through a circle. Due to the fact that velocity is a vector quantity (i.e., it has both a magnitude, the speed, and a direction), when a body travels in a circle, its direction is continually changing, which causes a change in velocity, which results in an acceleration. The circle's Centre is where the acceleration is pointed radially.
Since we are given the tension in the cable and the angle of inclination, we can use trigonometry to find the vertical and horizontal components of tension.
Tsinθ = mg
Tcosθ = mv²/r
where θ = 35°, v = 180 km/h = 50 m/s, r = 1000 m, and m = 1000 kg.
Solving for Tsinθ and Tcosθ, we get:
Tsinθ = mg = (1000 kg)(9.81 m/s²) = 9810 N
Tcosθ = mv²/r = (1000 kg)(50 m/s)²/(1000 m) = 2500 N
Now we can use the horizontal and vertical components of tension to find the centripetal acceleration:
Tcosθ = ma
a = Tcosθ/m = (2500 N)/(1000 kg) = 2.5 m/s²
To express this acceleration in terms of g, we divide by the acceleration due to gravity:
a/g = 2.5 m/s² / 9.81 m/s² = 0.255
Therefore, the centripetal acceleration of the plane is 0.255 g.
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Please hellpppppppppppppppp thank you
Answer:
Heres on ex.
When the driver of a bus applies brake suddenly, the lower part of the body comes to rest as the bus comes to rest but, the upper part of the body continues to move forward due to inertia of motion.
Explanation:
In hiking, what fitness component is required of you
All of the following steps are included in a self-modification program except __________. A. specifying target behavior B. designing a program C. focusing on one goal at a time D. gathering data about target behavior
(Psychology)
Answer:
C)focusing on one goal at a time
Explanation:
Self-modification programs could be regarded as a program that help individual in managing unwanted as well as dysfunctional behavioral responses whenever they are going through a problem and try to deal with it. For instance the dysfunctional behavioral response for someone with a panic attack is avoidance. Some of the the steps that are involved in in a self-modification program are;
✓ specifying target behavior ✓designing a program
✓ gathering data about target behavior
Answer:
c
Explanation:
on edge 2020
The earth has a vertical electric field at the surface,pointing down, that averages 102 N/C. This field is maintained by various atmosphericprocesses, including lightning.
What is the excess charge on the surface of the earth? inC
Answer:
\(q = -461532.5 \ C\)
Explanation:
From the question we are told that
The electric filed is \(E = 102 \ N/C\)
Generally according to Gauss law
=> \(E A = \frac{q}{\epsilon_o }\)
Given that the electric field is pointing downward , the equation become
\(- E A = \frac{q}{\epsilon_o }\)
Here \(q\) is the excess charge on the surface of the earth
\(A\) is the surface area of the of the earth which is mathematically represented as
\(A = 4\pi r^2\)
Where r is the radius of the earth which has a value \(r = 6.3781*10^6 m\)
substituting values
\(A = 4 * 3.142 * (6.3781*10^6 \ m)^2\)
\(A =5.1128 *10^{14} \ m^2\)
So
\(q = -E * A * \epsilon _o\)
Here \(\epsilon_o\) s the permitivity of free space with value
\(\epsilon_o = 8.85*10^{-12} \ m^{-3} \cdot kg^{-1}\cdot s^4 \cdot A^2\)
substituting values
\(q = -102 * 5.1128 *10^{14} * 8.85 *10^{-12}\)
\(q = -461532.5 \ C\)
How does methodology in natural science influence knowledge produced
How does light of different frequency react when they pass through a prism (material with higher refractive index)?
Answer:
I believe the answer is that the light with the higher frequency refracts more than light with a lower frequency
Explanation:
How are magnetic fields like vectors?
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
You hit a hockey puck and it slides across the ice at nearly a constant speed.Is a force keeping it in motion?Explain.
Answer:
Explanation:
When the puck is sliding on the ice, there is no force being exerted on the puck to keep it moving forward. Instead, inertia keeps the puck moving forward. Friction between the puck and the ice gradually slows the puck down. You hit a hockey puck and it slides across the ice at nearly a constant speed
At constant speed and varying position of the hockey puck, implies a change in the velocity of the hockey puck and net force is acting on it to keep it in motion.
According to Newton's second law of motion, the force applied to a an object is directly proportional to the product of mass and acceleration of the object.
F = ma
Acceleration is the change in the velocity of an object per change in time of motion.
At constant velocity, the acceleration of an object is zero.When acceleration of an object is zero, the force on the object is zero.A constant speed (magnitude only) and change in the direction of the object, implies a change in velocity of the object.at changing velocity, the acceleration on an object is positive, and hence net force acts on the object.Thus, we can conclude that at constant speed and varying position of the hockey puck, implies a change in the velocity of the hockey puck and net force is acting on it to keep it in motion.
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What type of force is F-?
Answer:
Frictional Force
Explanation:
i think so
A motor car accelerates for 10sec to attain a velocity of 20m/s. it continues with uniform velocity for a further 20sec and then decelerates so that it stops in 20sec. calculate
I) acceleration
ii) deceleration
iii) the distance traveled?
According to the given statement:
I) acceleration a=2m/s²
ii) deceleration a=−1 m/s²
iii) the distance travelled =200 m.
What is acceleration ?Velocity's rate of change with time, in both terms of speed and direction. A point or object moving straight ahead is accelerated when it increases or decelerates. Even if the speed remains constant, motion on the a circle increases because the orientation is always shifting.
Briefing:
You use the standard formulas for distance as a function of speed, acceleration and time:
st = v0t + 0.10at² for acceleration ( a >0) and deceleration ( a <0), or at constant speed ( a =0).
Now a is not given for acceleration and deceleration, so we need to compute this from
vt=v₀+at
Acceleration:
20=10a⟹a=2m/s²
Distance travelled:
0.10∗10∗10²=100 m
Distance travelled while at constant speed:
s=vt=20∗20=400 m
Deceleration:
0=20+20a⟺a=−1 m/s²
Distance travelled:
20∗20+0.1(−1)20²=400−2∗100
=200 m.
So the total distance travelled is 100+400+200=700m
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A rocket ship carrying passengers blasts off to go from New York to Hong Kong, a distance of about 13,000 km. (a) How fast (in terms of c) must the rocket ship go to have its own length shortened by 1%? c (b) Ignore effects of general relativity and determine how much time (in s) the rocket ship's clock and the ground-based clocks differ when the rocket ship arrives in Hong Kong.
Answer:
0.14c
0.003 s
Explanation:
See attachment
Gold-198 is a radioactive isotope, and it has a half-life of about 2.5 days.
You have 100 grams of Gold-198. How many grams remain after 20 days?
3.125 grams
1.5625 grams
0.78125 grams
0.390625 grams
Answer: 0.390625 grams
Explanation:
A half-life of an element is the amount of time that it takes for half the mass of the element to decay.
Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.
If there are 20 days, find out how many half-life periods there are:
= 20 / 2.5
= 8 periods
The half life is:
= Original mass * 0.5^number of half-life periods
= 100 * 0.5⁸
= 0.390625 grams
When a star explodes as a supernova, the expanding gas can pass through the interstellar medium triggering...
A.) an increase in variable star activity
B.) formation of new stars
C.) life to develop
D.) additional supernovas
B. Formation of new stars
1. Which, if any, of these people are nearsighted (myopic)?
List the first letter of all correct answers in alphabetical order. For example, if Avishka and Edouard are the only nearsighted ones, enter AE.
2.Which, if any, of these people require bifocals to correct their vision?
3.Which, if any, of these people's vision can be corrected using only converging lenses?
Please show work and units.
1) Berenice, Chadwick, and Edouard have poor vision (near-sightedness)
The near point, or the shortest distance at which an item can be seen well by a human eye, is 25cm.
The far point is the farthest distance at which an item may be viewed clearly with the bare eye.
Diverging lenses, which produce virtual pictures at the individual's far point when confronted with objects at infinity, can be used to treat nearsightedness.
2) Bernice and Edouard have a near point larger than 25cm and a far point less than infinity, resulting in nearsightedness and hyperopia.
Because of the reasons stated above, the folks listed will need bifocals to correct their vision.
Converging lenses, which produce virtual pictures at the patient's near point when shown with things at 25 cm, can cure farsightedness. To compensate for both farsightedness and nearsightedness, bifocals have both converging and diverging lenses.
3) The near point, or the shortest distance within which an item can be seen well by a human eye, is 25cm.
The far point is the farthest distance at which an item may be viewed clearly with the bare eye.
A hyperopic eye can see far away objects clearly, but its near point grows, thus it is higher than 25cm for that eye.
According to the table, Avishka and Francesca have farsightedness, hence their near point is more than 25cm, hence can be corrected using Converging lenses.
What is near-sightedness?Nearsightedness often runs in families. Objects in the distance seem hazy. The illness can progress slowly or quickly. Treatment options include glasses, contact lenses, and LASIK surgery.
Nearsightedness is frequently caused by an eye that is excessively long or oval-shaped rather than spherical. It might also be caused by a too-steep corneal curvature. As a result of these alterations, light beams collide in front of the retina. The messages transferred from the retina to the brain are distorted.
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Does fire get rid of waste
Answer:
Backyard burning of trash in a barrel, pile or outdoor boiler releases smoke into the air. ... Trash fires in burn barrels can smolder and as a result produce greater amounts of harmful chemicals in the smoke. Harmful chemicals can also be present in the ash.Explanation:
Which statement is true about the theory of plate tectonics and the theory of continental drift?
A) The theory of plate tectonics proves the theory of continental drift completely wrong.
B) The theory of plate tectonics tells exactly where the continents were before Pangaea divided.
C) The theory of plate tectonics gives the method by which continents can move as part of plates.
D) The theory of plate tectonics does not explain how continental movements could occur.
The statement that is true about the theory of plate tectonics and the theory of continental drift C. The theory of plate tectonics gives the method by which continents can move as part of plates .
What is theory of plate tectonics and the theory of continental drift ?According to the scientific hypothesis of plate tectonics, the underground movements of the Earth create the primary landforms. By explaining a wide range of phenomena, including as mountain-building events, volcanoes, and earthquakes, the theory, which became firmly established in the 1960s, revolutionized the earth sciences.
The scientist Alfred Wegener is most closely connected with the concept of continental drift. Wegener wrote a paper outlining his notion that the continents were "drifting" across the Earth, occasionally crashing through oceans and into one another, in the early 20th century.
According to tectonic theory, the Earth's surface is dynamic and can move up to 1-2 inches every year. The numerous tectonic plates constantly move and interact. The outer layer of the Earth is altered by this motion. The result is earthquakes, volcanoes, and mountains.
Therefore, option C is correct.
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Your television picture is created by 480 horizontal lines of pixels, arranged on a screen of total height h. Assume that your ability to resolve the lines is limited only by the Rayleigh criterion, and that the pupils of your eyes are 5.12 mm in diameter. Beyond a certain distance from the screen D, you won't be able to resolve individual lines of pixels and the TV picture will not appear pointillistic. Calculate this ratio D/h of minimum viewing distance to screen height. Assume that the average wavelength of the light coming from the screen is 537 nm.
Answer:
Ratio D/h of minimum viewing distance to screen height is 16.28
Explanation:
Given the data in the question;
Rayleigh criterion sin\(\theta\) = 1.22 λ/D
D is diameter (5.12 mm) = 5.12 × 10⁻³
λ is wavelength ( 537 nm) = 537 × 10⁻⁹ m
so we substitute
sin\(\theta\) = 1.22 × 537 × 10⁻⁹ / 5.12 × 10⁻³
sin\(\theta\) = 655.14 × 10⁻⁹ / 5.12 × 10⁻³
sin\(\theta\) = 0.000127957
\(\theta\) = sin⁻¹ ( 0.000127957 )
\(\theta\) = 0.007331°
now, tan\(\theta\) = y/D
y = h/480
so
tan\(\theta\) = h/480 / D
h/D = 480 × tan\(\theta\)
D/h = 1 / ( 480 × tan\(\theta\) )
we substitute in value of \(\theta\)
D/h = 1 / ( 480 × tan( 0.007331° ) )
D/h = 1 / ( 480 × 0.00012795 )
D/h = 1 / 0.061416
D/h = 16.28
Therefore, Ratio D/h of minimum viewing distance to screen height is 16.28