Answer: Which statement best describes how scientists and engineers work together in the research and development cycle? Scientists develop new technology, and then engineers use it to solve design problems.
Explanation: boom!
40 points!
What is the expected life span of a star with a low stellar mass, a relatively cool temperature, and dim relative brightness?
1 to 10 million years
10 to 100 million years
1,000 to 10,000 million years
10,000 to 200,000 million years
The expected life span of a star with a low stellar mass, a relatively cool temperature, and dim relative brightness is 10,000 to 200,000 million years and is therefore denoted as option D.
What is a Star?This is referred to as an astronomical object comprising a luminous spheroid of plasma held together by its gravity an d they are usually visible at night.
We should also note that stars with a high stellar mass burn burn their fuel at a much faster rate and can shine for just millions of years while on the other hand stars with a low stellar mass burn burn their fuel at a much slower rate and can shine for just billions of years.
This therefore means that the expected life span of a star with a low stellar mass and dim relative brightness will most likely be between 10,000 to 200,000 million years hence why option D was chosen.
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Ball A od mass 5.0 kilograms moving at 20. meters per second colides with ball B of imknnown mass moving at 10 meters per scond in the same direction. After the collision, ball A movies at 10. meters per second and ball B at 15 meters per second, both still in the same direction. What is the mass of ball B
Answer:
10 kg
Explanation:
Use law of conservation of momentum
momentum of system before collision = momentum of system after collision
5 kg * 20 m/s + x kg * 10 m/s = 5 kg * 10 m/s + x kg * 15 m/s
100 + 10x = 50 + 15 x
50 = 5x
x = 10 kg
What are the coefficients in the equation for the magnetic field component of the wave after the period increases by a factor of 2.70
The coefficient of magnetic field was found to be Bmax, k = 1.53x10¹¹, 1.14x10⁴,3.43x10¹² T,1/m,rad/s.
Define magnetic field ?Moving charges, wave action, and magnetic materials all experience the magnetic influence of a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetization is applied to it when it moves through a magnetic field. A permanent magnet's magnetic field draws on ferromagnetic materials like iron and repels or attracts other magnets. The three additional magnetic effects of diamagnetism, electromagnetism, and biomagnetism also cause tiny forces to be exerted on "nonmagnetic" materials by a nonuniform magnetic field, although these forces are frequently so minute , they can only be detected using laboratory apparatus. Electric currents used in electromagnets and time-varying electric fields produce magnetic fields that surround magnetized objects.
Magnetic field maximum = 1.531011,
The wave number is 1.14104.
In teslas, the angular frequency is 3.431012 T.
meters-1 in reverse,
rad/s = radians per second
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When the velocity arrow and the acceleration arrow both point in the same direction, the velocity of the object is decreasing.
It is a False statement, because the acceleration arrow points forward, but the velocity arrow is reversed.
What is meant by acceleration?
Any modification of motion's speed or direction is referred to as acceleration. When anything is speeding up, slowing down, or not travelling straight ahead, it is said to be accelerating.In mechanics, acceleration is the rate at which an object's velocity with respect to time changes. Vector quantities include accelerations.An object's acceleration is oriented according to the direction of the net force acting on it. the degree to which an object accelerates, as stated by Newton's Second Law.When a vehicle accelerates in its present direction of motion, this is referred to as linear acceleration (or tangential acceleration in circular motions), and the reaction felt by the passengers is a force that pulls them back into their seats.To learn more about acceleration refer to
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11. A weightless bar AB is pivoted at its centre and weight of 10N and 30N are attached on side A at 4m and 2m from the pivot respectively. These weights are balanced by a weight of 25N on the other side B. How far is the 25N weight from the pivot?
Answer:
-3.2m
Explanation:
To find the distance of the 25N weight from the pivot, we can use the concept of moments. The moment of a force is the product of the force and the perpendicular distance from the pivot to the line of action of the force.
The total moment about the pivot due to the weights on side A is:
Moment_A = (10N * 4m) + (30N * 2m) = 80Nm
The moment of the 25N weight on side B must be equal and opposite to the total moment of the weights on side A, so we can set up the following equation:
Moment_B = -80Nm
We can solve for the distance of the 25N weight from the pivot by rearranging the equation to solve for x:
x = Moment_B / 25N = -80Nm / 25N = -3.2m
So the distance of the 25N weight from the pivot is -3.2m. This means that the weight is 3.2m to the left of the pivot, since the pivot is taken as the origin for the purpose of calculating moments.
In a sealed container, Sarah combines a reactant with a mass of 8 grams with another reactant with a mass of 11 grams. After the reaction, what is the most reasonable prediction Sarah can make for the total mass of the products of this reaction?
6g
8g
10g
19g
which one
The most reasonable prediction Sarah can make for the total mass of the products of this reaction would be = 19g.
What is law of conservation of mass?The law of conservation of mass states that mass in neither created nor destroyed but can be changed from one form to another.
From the set up of the reaction carried out by Sarah, the container was in an enclosed medium.
Therefore since there is no loss of mass, the total mass of the products of this reaction would be = 11+8 = 19g.
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the force exerted on the rope by the ceiling is in the _____ direction.
The force exerted on the rope by the ceiling is in the vertical direction. This means that the force is pushing straight down on the rope and is perpendicular to the plane of the ceiling.
The force exerted on the rope by the ceiling is the result of the gravity of the rope itself and the weight of any objects or materials that are attached to the rope.
In order for the force to remain in the vertical direction, the rope must be secured at the top of the ceiling and not allowed to move in any other direction. If the rope were to move in any other direction, the force exerted on the rope by the ceiling would no longer be in the vertical direction and the rope would no longer remain secure.
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Why the ball accelerates at a constant rate as it moves down the slope?
The ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
Rolling motion of any object occurs when the object starts sliding in a different methods from the other objects such as when the objects starts to roll from the ramp or any other sloppy surface and it rolls down due to the gravitational force and with many other forces such as the rolling tangential force. many forces are acting on the object at the same moment and we are just seeing the gravitational force which is playing a major portion. Hence by this information we can consider that the ball accelerates at a constant rate as it moves down the slope because of the constant gravitational force acting on it in a major portion and the rolling tangential force on the object is acting in the smaller form.
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The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . How many revolutions does each tire make before the car comes to a stop, assuming that the car does not skid and that the tires have radii of 0.37 m
The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.
A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.
Given:
v₀ = 30 m/s
v = 0 m/s
a = -1.4 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)
² = (30 m/s)
² + 2 (-1.4 m/s²) Δx
Δx = 321.43 m
The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:
139 rev = 321.43 m (1 rev / 2.32 m)
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10 points!
Which measuring tool should be used to measure the length of a marble track?
graduated cylinder
spring scale
metric ruler
stopwatch
Answer:
metric ruler
Explanation:
it counts legnth
If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:
It is important to note that vehicles without ABS may take longer to stop and have a greater risk of skidding or losing control, so it's important to be aware of the stopping distance and to drive with caution.
What is ABS?Anti-Lock Braking System (ABS) is an advanced safety feature that is commonly found in modern vehicles. It is designed to prevent the wheels of a vehicle from locking up during braking, which can cause the vehicle to skid and lose control.
If you need to stop quickly and your vehicle is not equipped with an Anti-Lock Braking System (ABS), you should:
Press the brake pedal firmly and steady, do not pump the brakes.
Steer the vehicle in the direction you want to go.
Avoid locking up the wheels by applying the brake pressure smoothly and progressively.
If the wheels lock, release the brake pedal slightly to regain traction and then reapply the brake pressure.
Keep a safe distance from the vehicle in front of you to give yourself more time to react and stop.
Hence, by following the above mentioned steps you can quickly stop a car not equipped with ABS.
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15. A uniform beam AB of length 100m and weight 20N rests on a supports P and Q placed 20m from each end of the beam. Weights of 50N and 5N are placed at A and B respectively. Calculate the reaction at P and Q.
PLS I BEG SHARP RESPONSE
Answer:
Peter and John is a plate of rice together peterhead 2/5 of the quantity of rice white drone x 1/3 who ate more food than the other
A woman lifted a stack of books with a mass of 155 kg for 5.00 x 10^-2 min. She raised the stack
of books 150.0 cm. Calculate the Power the woman generates lifting the books.
The Power generated is 77.5 Watt
Power is always dependent on work done, so if a person does work at different rates his power also differs at different times. This is where the concept of average-power comes into the picture.We can define power as the rate of doing work, it is the work done in unit time. The SI unit of power is Watt (W) which is joules per second (J/s). Power is defined as the rate at which work is done upon an object. Power is a time-based quantity. Which is related to how fast a job is done. The formula for power is mentioned below.Power = Work / time
P = W / t
P = Fd/t
P = mgd/t
where, F = force = mg
d = displacement
t = time
Given, mass (m) = 155Kg
g = acceleration due to gravity = 10 m/s^2
d = 150 cm = 0.15 m
t = 5.00 x 10^-2 min = 3 seconds
Putting these values in above equation, we get P= 77.5 Watt.
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A net force of 10 newtons accelerates an object at 5.0 meters per second^2. What net force would be required to accelerate the same object at 1.0 meters per second^2
The proper answer is that a force of 16 N net would be needed to accelerate the same item at 1.0 m/s2.
How is the net force needed to accelerate calculated?Newton's second law of motion condenses these relationships. The answer to the acceleration equation above can be written as Net Force = Mass Acceleration, or F = m a.
You know that force(F) & acceleration(a) are connected through mass(m),
F=ma
Here you have:
10 = 5 m
so, m = 10/5 = 2 Kg
Then if you have a = 8 m/s^2
you get:
F=2×8=16 N
Force = 16N
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Can nuclei of the same element have different values of Z? Of N? Of A?
Check all that apply.
O 1 Nuclei of the same element must have the same values of Z, N, and A.
O 2 Nuclei of the same element can have different values of Z.3
O 3 Nuclei of the same element can have different values of A.
O 4 Nuclei of the same element can have different values of N.
Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.
Nuclei of the same element can have different values of Z, N, and A due to the number of protons, neutrons, and nucleons they contain, respectively. This is because the number of these particles in the nucleus can vary, although they all will still be the same element. Therefore, option 2, 3, and 4 are correct and option 1 is incorrect.
Nuclei of the same element can have different values of Z, N, and A, as these values are all related to the number of protons, neutrons, and nucleons in the nucleus, respectively. Therefore, option 2, 3, and 4 are correct.
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Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false; Newton's third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? To answer this question, suppose that each vehicle is initially moving at 6.60 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 75.0 kg. Including the masses of the drivers, the total masses of the vehicles are 800 kg for the car and 4,000 kg for the truck. If the collision time is 0.100 s, what force does the seat belt exert on each driver? (Enter the magnitude of the force.)
Answer:
According to Newton's third law, the force exerted on each driver during the collision is equal and opposite to the force exerted on their respective vehicles. We can use the principle of conservation of momentum to find the force experienced by each driver.
The initial momentum of the car and driver is the product of their mass and velocity: (800 kg)(6.60 m/s) = 5280 kgm/s. The initial momentum of the truck and driver is (4000 kg)(6.60 m/s) = 26400 kgm/s. After the collision, the final momentum of the combined system (the car, truck, and drivers) is 0, since the collision is perfectly inelastic and the two vehicles stick together. This means that the final momentum of the car and driver is equal and opposite to the final momentum of the truck and driver.
We can set up the following equation to solve for the force experienced by the car driver:
Force (car driver) = (final momentum of car and driver) / (collision time)
= (-final momentum of truck and driver) / (collision time)
= (-26400 kg*m/s) / (0.100 s)
= -26400 N
The negative sign indicates that the force is in the opposite direction of the initial momentum of the car and driver. The force experienced by the truck driver is equal in magnitude to the force experienced by the car driver, so the force experienced by the truck driver is also -26400 N.
Explanation:
What is the contribution of hydroelectric power in world electricity?
Hydroelectric power accounts for between 16 and 17 percent of global electricity production, making it one of the most significant renewable energy sources.
In 2016, hydropower contributed more than twice as much to the grid as the next largest renewable energy source, solar. Hydropower can provide many valuable services to the power grid beyond just energy generation. These include frequency regulation, voltage support, contingency reserves, load following, and black start service, all of which contribute to the reliability and safety of the power system. Hydropower's role in grid-scale energy storage, balancing services for other intermittent renewables like wind and solar power, and water management services by reservoirs are growing.
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J
If a building is 17 m tall, how long would it take to hit the ground?
It would take approximately 0.45 seconds for a 17 m tall building to hit the ground.
What is distance?
Distance is the amount of space between two objects or points. It is measured in units such as meters, feet, or miles. Distance can also refer to the length of time it takes for something to happen, such as the distance between two events.
This is calculated by using the formula: time = (distance)/(gravity x 2). In this case, distance is 17m and gravity is 9.8 m/s2, so time = (17 m)/(9.8 m/s2 x 2) = 0.45 seconds.
Distance may also refer to the emotional or physical separation between two people or groups. Distance can be expressed as a physical, mental, or emotional concept.
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Why is 90 degrees the best angle for maximum height and air time?
The best angle for maximum height and air time when launching an object is 90 degrees. At 90 degrees, the vertical velocity component is at its maximum, allowing the object to reach the highest point. Additionally, the horizontal velocity component is at its minimum, which means that the object will spend more time in the air.
This is because at 90 degrees, the object is moving straight upward and as gravity acts vertically downwards, the object will reach highest point and stay there for longer time as compare to other angles.
However, it's important to note that 90 degrees is ideal for maximum height, but not for maximum distance traveled. For maximum distance, the optimal angle would be 45 degrees, where the horizontal velocity and vertical velocity are equal, as the object will both travel the farthest and reach the highest point.
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9 An object of mass 1.2kg is moving with a velocity of 2.0m/s when it is acted on by a force of
4.0 N. The velocity of the object increases to 5.0 m/s.
For what period of time does the force act on the object?
Answer:
0.90 seconds
Explanation:
Given Info:
Object of mass ⇒ 1.2 kg
Velocity of 2.0m/s when it is acted on by a force of 4.0 N
Velocity of the object Increased to 5.0 m/s
Question:
For what period of time does the force act on the object?
Solve:
We first need to know the formula:
F = ma Or F = m(v-u)/t
F = force
m = mass of an object
a = acceleration
v = Final Velocity
u = Initial Velocity
a = Acceleration
t = Time Taken
Knowing that;
Force = 4.0 N
Mass of an object = 1.2 kg
Final velocity = 5.0m/s
Initial velocity = 2.0m/s
Time taken = [t]
Now lets plug it in the formula:
F = m(v-u)/t
4.0 = 1.2(5-2)/t
t = 0.90 seconds.
Hence, period of time at which force is acted on the object is 0.90 sec.
RevyBreeze
The ECG waveform has various components such as waves, segments, and intervals; when these components differ from the expected norm, this indicates:
The ECG waveform has many components such as segments, waves, and intervals; when these components differ from the expected forms, this indicates dysrhythmia.
An abnormal or irregular heartbeat is referred to as cardiac dysrhythmia. Your heart may beat too slowly or too fastly if you have dysrhythmia. Or your heart's rhythm may be disturbed, giving you the sensation that your heart missed a beat.
Thus, when the ECG waveform is different than normally it is expected, it shows a sign of dysrhythmia. When a person experiences dysrhythmia, and the rate of their heartbeat becomes irregular but still, it lies within the normal range.
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For which of the regions shown in the figure is the observed effect the strongest? O Region B O Region C
O The observed effect is the same for all three regions O Region A
D) Region A. The observed effect is strongest in Region A, as this region contains the most extreme temperatures and the most extreme change in temperature over time.
What is temperatures ?
Temperatures refer to the degree of hot or cold that something is. It is typically measured in either Celsius or Fahrenheit, with Celsius being the most common metric used.
Temperatures can range from extreme cold to extreme heat, with average temperatures ranging from -40 to 40 degrees Celsius. Temperatures can be affected by a number of factors, including altitude, latitude, and proximity to the ocean. Different climates can experience vastly different temperatures, making it important to know the temperature of a particular area before traveling.
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How many resistors must be connected in series to give an equivalent resistance to five resistors connected in parallel
The value of the resistor of five parallel-connected resistors is R/5 ohm. Hence, 5 resistors of resistance R/25 ohm connected in series to give an equivalent resistance to five resistors connected in parallel
What is a resistor?Modern resistors are often constructed from a carbon, metals, or metal-oxide layer. In these resistors, an insulating material is covered in a helix around a thin layer of conductive (but still resistant) material.
What a resistor does in a circuitA resistor is a component of an electronic device that regulates or limits the amount of electrical current that can flow through a circuit. Resistors can also supply a certain amount of power to an electronic appliance like a transistor. A light bulb illuminates when power is applied to the resistor tungsten. The end results of the energy are heat and light.
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Albert pushes a 6 kg 6 kg box across a level floor. He pushes with a force of 43 N 43 N and observes that the box accelerates in the direction of his push at a rate of 2 m/s22 m/s2 . What is the net force acting on the box
The net force acting on the box, and the frictional force acting backward is 25 N
Calculation:Here,
mass ,m = 12 Kg
F1 = 49 N
a = 2 m/s^2
Using the second law of motion
net force on the particle = m * a
net force on the particle = 12 * 2
the net force on the particle = 24 N
let the frictional force is f
F1 - f = Fnet
49 - f = 24
f = 25 N
How can you determine the total force exerted on an object?The vector sum of all forces acting on an object is known as the net force. As a result of the fact that a force is a vector and that two forces with identical magnitudes and opposing directions cancel each other out, the net force is the sum of all the forces, or put another way, the net force is the sum of all the forces.
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Calculate the momentum for each case and rank each of the following from least to greatest in terms of the amount of momentum each possesses. A 10kg object moving at 10 m/s A 30 kg moving at 5 m/s A 5 kg bject moving at -25 m/s A 100N object moving at 5 m/
Ranking each of the following from least to greatest in terms of the amount of momentum each possesses:
A 5 kg object moving at -25 m/s < A 100N object moving at 5 m/s < A 10kg object moving at 10 m/s < A 30 kg moving at 5 m/s
What is momentum?Momentum is the product of a particle's mass and velocity. The fact that momentum is a vector quantity means that it has both magnitude and direction. The force pushing a particle has an equal-and-opposite impact on the speed at which its momentum changes, according to Isaac Newton's second law of motion. Take a look at Newton's laws of motion.
Newton's second law states that if a particle experiences a constant force for a predetermined period of time, the impulse—which is equal to the force multiplied by the duration—will equal the change in momentum. The amount of time required for a consistent force to bring a particle to rest, in contrast, is measured by a particle's momentum.
We know that momentum, p = mv
Where,
p = momentum
m = mass
v = velocity
Substituting the value in formula we get,
1. A 10kg object moving at 10 m/s
p = 10 × 10
= 100 kg⋅m/s
2. A 30 kg moving at 5 m/s
p = 30 × 5
= 150 kg⋅m/s
3. A 5 kg object moving at -25 m/s
p = 5 × -25
= -125 kg⋅m/s
4. A 100N object moving at 5 m/s
p = (100 × 0.10197 kg) × 5
= 10.197 × 5
= 50.985 kg⋅m/s
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When building a device or structure, engineers must carefully consider how the materials they choose will change when heated or cooled. List four situations where thermal expansion and contraction could be a problem.
There are three infrastructure projects wherein thermal expansion & contraction may be a problem are constructing roads, towers, and sidewalks.
What does thermal expansion mean?The propensity of matter to alter structure, volume, or area in reaction to a temperature change is known as thermal expansion. The average molecular energy of a substance has a monotonic relationship with temperature. Heat makes molecules move more quickly & take up more space, which causes thermal expansion.
What is a good illustration of thermal expansion?The expansion of heated air is the most obvious example. Heat helps the air expand, making it lighter than the air around it. This causes the hot air to be forced (upward), which causes steam and smoke to rise, warm air balloons to float, and so on.
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Item 2 Sea stars, sea urchins, sand dollars, and brittle stars are all members of the same group. What is the common name of the group to which they all belong
Sea stars, brittle stars, as well as feather stars are a few examples of echinoderms. Despite their apparent differences, echinoderms share two key identifying traits that make them all identifiable.
What is the reputation of echinoderms?Echinoderms are effective scavengers of decomposing material on the seafloor and feed on a range of microscopic organisms, which helps control their population. Sea urchins can destroy tropical sea-grass beds when they are present in great numbers, harming the creatures that live there astrophysics
Why do they go by the name echinoderms?Because of their spiny skin, Echinodermata are so termed (from the Greek "echinos" for "spiny" and "dermo's" for "skin"). There are around 7,000 described extant species in this phylum. Only marine species can be classified as Echinodermata.
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Which of the following statements is probably true about the very first stars in the universe?
a. They were made only from hydrogen and helium.
b. H2
c. True
d. More massive than a hundred times the Sun
The correct statement about the very first stars in the universe is that they were made only from hydrogen and helium.
What is universe?
The universe is the totality of existence, encompassing all matter, energy, space, and time, and the physical laws and constants that govern them. It is the sum total of all that exists, was, and will be, including all galaxies, planets, stars, and phenomena such as light, gravity, and electromagnetic radiation. The universe is believed to have originated with a massive explosion known as the Big Bang, estimated to have occurred around 13.8 billion years ago. Since then, the universe has been expanding outward, ever increasing in size, complexity, and energy density. Scientists believe that the universe is composed of a vast array of components, including dark matter, dark energy, and dark radiation.
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Breaking a Glass Soda Botle A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of Dtop-2.00 cm and the bottom of the bottle has a diameter of Dbot 6.50 cm. The glass breaks when it is exposed to Pmax = 70.0 MPa of pressure A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student's fist has a mass of m = 0.480 kg and moves downward at a speed of vi = 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for t 1.20×10-4 s . In this problem, the positive direction is upward Part A What is the force that her fist exerts on the top of the bottle? Express your answer in newtons to three significant figures Hints 4.00x104 N Submit My Answers Give Up Correct Part B What is the magnitude of the force exerted on the bottom of the bottle?
The force exerted on the top of the bottle is given by the impulse-momentum theorem, which states that the impulse (change in momentum) of an object is equal to the force applied to the object multiplied by the time over which the force is applied.
F = (m * vi) / t = (0.480 kg * 5.00 m/s) / 1.20×10-4 s = 4.00x104 N
The force exerted on the bottom of the bottle is equal to the pressure (P) multiplied by the area (A) of the bottom of the bottle.
A = (Pi/4) * (Dbot^2) = (Pi/4) * (6.50 cm)^2 = 90.79 cm^2
F = P * A = 70.0 MPa * 90.79 cm^2 = 6.36x10^5 N
How to calculate force in physics?In physics, force is calculated using the formula: force = mass x acceleration (F = ma). The unit of force is typically the Newton (N). To calculate force, you need to know the mass of the object and the acceleration it is experiencing. Once you have that information, you can substitute it into the formula and solve for force.
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Diana raises a 1000 N piano using a set of pulleys. She use 250 N force to pulls in 20.0 m of rope. What is the distance
Using a set of pulleys, Diana hoists a piano weighing 1000 N. To draw in 20.0 m of rope, she applies 250 N of force. The separation is 5m.
given,
Load force = 1000 N
Effort distance = 20.0 m
Effort force=250N
If this were an ideal machine, we could calculate the force Diana applied as follows:
The equation that follows links load force to effort force for a perfect machine;
Effort force × effort distance = Load force × Load distance
When we enter the parameters into the formula, we get;
Load distance = Effort force × effort distance/Load force
=250×20/1000
= 5 m
Load distance = 5 m
In mechanics, force is any action that tends to maintain or alter the motion of a body or distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it. The second law states that when an external force acts on a body, it causes an acceleration (change in velocity) of the body in the direction of the force.
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