A minimal time period is required to accelerate through x=3.00m because maximal static friction produces the force that creates maximum acceleration.
Explain what an acceleration is.acceleration is the rate of change in both direction and speed of velocity over time. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because of direction is always shifting, motion on a circle accelerates even while the speed is constant.
A person moves by the help of frictional force, as a result of gtound reaction. So, the formula for frictional force is:
F = μR
where,
F = frictional force
μ = coefficient of friction
R = Normal Reaction = Weight of Body = W = mg
Therefore,
F = μmg
but, from Newton's 2nd Law of Motion:
F = ma
Comparing both equations, we get:
μmg = ma
a = μg ---------- equation (1)
Now, to calculate the distance moved by a body, we use 2nd equation of motion:
s = (Vi)(t) + (0.5)at²
using equation (1), we get:
s = (Vi)(t) + (0.5)μgt²
where,
s = distance moved by body
Vi = initial velocity of body
t = time taken to cover the distance
g = acceleration due to gravity
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.5
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)
t = √1.30612 s²
t = 1.14 s
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.5
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.5)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.5)(9.8 m/s²)
t = √1.30612 s²
t = 1.14 s
(a)
Vi = 0 m/s
g = 9.8 m/s²
s = 3.2 m
μ = 0.87
t = ?
Therefore,
3.2 m = (0 m/s)(t) + (0.5)(0.87)(9.8 m/s²)t²
t² = 3.2 m/(0.5)(0.87)(9.8 m/s²)
t = √0.75 s²
t = 0.87 s
What are acceleration and speed exactly?The rate of change in displacement is known as velocity. Acceleration is the rate at which speed changes. The fact that velocity contains both magnitude and orientation makes it a vector quantity. Acceleration is also a vector quantity since it is simply the rate during which velocity varies.
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what could you do to increase the final momentum of a golf ball?
Answer:
I would hit it as hard as you can with the club.
Explanation:
well one thing that I like to do is hit the golf ball as hard as possible with the club.
This is because for me, when I do that, I can normally get more momentum which means I also get a farther hit.
HELP I GIVE BRAINLIST
what are the drawbacks of relying on fossil fuels ?
A ) Increased levels of atmospheric carbon dioxide
B ) A reduction of air pollution levels in cities
C ) Unlimited supplies of coal, oil, and natural gas
D ) Fossil fuels always burn perfectly, so there are no drawbacks
Answer:
A) Increased levels of atmospheric carbon dioxide
Explanation:
All of the other options are positive effects
Plz help me with these :)
What nuclear reaction is shown in the equation below?
A. Nuclear fusion
B. Nuclear fission
C. Positron emission
D. Beta decay
The carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
What is a nuclear fusion?The term nuclear fusion refers to a kind of reaction in which two nuclei fuse together to give rise to a single nuclei with the evolution of energy.
We can see that the carbon isotope was cobined with the proton to produce the nitrogen isotope hence it is a fusion reaction.
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Answer:
A. Nuclear fusion
Explanation:
got it right, trust
.Which U.S. state played a large role in the origination of the Chester White?
Pennsylvania
Connecticut
New Jersey
New Hampshire
A significant role is played by (b) Connecticut in the origination of the Chester White pig breed.
The breed was developed by Samuel Waring, a farmer from Chester, Connecticut, in the early 19th century. Waring selectively bred white pigs with excellent meat quality and maternal traits, resulting in the establishment of the Chester White breed.
The pigs were known for their large size, durability, and adaptability to various climates. Over time, the Chester White breed gained popularity across the United States, particularly in the Midwest and Northeast regions. While other states, such as Pennsylvania and New Jersey, also had involvement in pig breeding, Connecticut holds a prominent place in the breed's origin and development.
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6. The engine of the car drives the car with a force of 700 N
with a speed of 40 m/s
If thrust, calculate the engine power.
ok
Here work done by the car against the force of air in each second denotes the power needed to overcome air resistance at that particular speed. The power of engine is 28 kW.
What is power?The power of an object denotes the rate of performing the work. It is defined as the work done in unit time. The SI unit of power is Watt (W) which is also called joules per second.
Power = Resistance × Speed of vehicle
Here the air resistance is found to be 700 N. Then,
Power = 700 × 40 = 28000 N m/s = 28 kW
Thus the engine power is 28 kW.
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How much energy does it take to boil water for pasta? For a one-pound box of pasta
you would need four quarts of water, which requires 15.8 kJ of energy for every degree Celsius (°C) of temperature increase. Your thermometer measures the starting
temperature as 48°F. Water boils at 212°F.
a. [1 pts] How many degrees Fahrenheit (°F) must you raise the temperature?
b. [2 pts] How many degrees Celsius (°C) must you raise the temperature?
c. [2 pts] How much energy is required to heat the four quarts of water from
48°F to 212°F (boiling)?
Answer:
a. 164°F
b. \(91.\overline 1 \ ^{\circ} C\)
c. \(140.\overline 4\) kJ
Explanation:
The starting temperature of the water, T₁ = 48F
The temperature at which the water boils, T₂ = 212°F
a. The difference between the initial and the boiling water temperature, ΔT = T₂ - T₁
Therefore;
ΔT = 212°F - 48°F = 164°F
The temperature by which he temperature must be raised, ΔT = 164°F
b. 48°F = ((48 - 32)×5/9)°C = (80/9)°C = \(8.\overline 8 \ ^{\circ} C\)
212°F = ((212 - 32)×5/9)°C = 100°C
∴ ΔT = 100°C - \(8.\overline 8 \ ^{\circ} C\) = \(9.\overline 1 \ ^{\circ} C\)
c. The heat capacity of the water = The heat required to increase four quartz of water by 1 °C = 15.8 kJ
∴ The heat required to raise four quartz of water by \(9.\overline 1 \ ^{\circ} C\), ΔQ = 15.8 kJ/°C × \(9.\overline 1 \ ^{\circ} C\) = \(140.\overline 4\) kJ.
If the distance between us and a star is doubled, with everything else remaining the same, the luminosity If the distance between us and a star is doubled, with everything else remaining the same, the luminosity remains the same, but the apparent brightness is decreased by a factor of two. is decreased by a factor of four, but the apparent brightness remains the same. is decreased by a factor of two, and the apparent brightness is decreased by a factor of two. remains the same, but the apparent brightness is decreased by a factor of four. is decreased by a factor of four, and the apparent brightness is decreased by a factor of four.
Answer:
The luminosity remains the same, but the apparent brightness is decreased by a factor of four.
Explanation:
The apparent brightness, F = L/4πr² where L = luminosity and r = distance between us and the star.
Since L is independent of the distance between us and the star, it is constant, then
F ∝ 1/r²
So, F₁/F₂ = r₂²/r₁² where F₁ = apparent brightness at r₁ and F₂ = apparent brightness at r₂
If the distance is doubled, that is r₂ = 2r₁, then
F₁/F₂ = r₂²/r₁²
F₁/F₂ = (2r₁)²/r₁²
F₁/F₂ = 4r₁²/r₁²
F₁/F₂ = 4
F₂ = F₁/4
So, since the luminosity is constant, the luminosity remains the same, but the apparent brightness is decreased by a factor of four.
Part A
Which sentence best states the central idea of paragraphs 21-22 in "Energy Story"?
A. Materials that are insulators and conductors have a high
resistance to electricity.
B. It is more difficult for electricity to pass through insulators than conductors.
C. Insulators and conductors are able to generate a high amount of electricity
D.Electrons move through rubber easier than they move through
metal.
Part B
Which sentence from "Energy Story" best supports the answer in Part A?
A. "Electricity is conducted through some things better than
others."
B. "Its resistance measures how well something conducts
electricity."
C."Some things hold their electrons very tightly."
D. "Other materials have some loosely held electrons, which move
through them very easily."
Answer:
Which sentence best states the central idea of paragraphs 21-22 in "Energy Story"?
A. Materials that are insulators and conductors have a high
resistance to electricity.
Part B
Which sentence from "Energy Story" best supports the answer in Part A?
B. "Its resistance measures how well something conducts
electricity."
Explanation:
Which element would Element X most likely be grouped with on the periodic table?
Answer:
group 0
Explanation:
it might be xenon (Xe)
According to the electronic configuration, and assuming the element to be halogen it is most likely to be grouped with potassium as halogens are in need of one electron which is easily made available by potassium.
What is electronic configuration ?Electronic configuration is defined as the distribution of electrons which are present in an atom or molecule in atomic or molecular orbitals.It describes how each electron moves independently in an orbital.
Knowledge of electronic configuration is necessary for understanding the structure of periodic table.It helps in understanding the chemical properties of elements.
Elements undergo chemical reactions in order to achieve stability. Main group elements obey the octet rule in their electronic configuration while the transition elements follow the 18 electron rule. Noble elements have valence shell complete in ground state and hence are said to be stable.
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What is everything in our physical environment made of? *
A matter
B solids
C gases
Answer: matter
Explanation:
The peak of the Earth's emission is ______, while the sun's peak is 0.5 micron: A.0.1 microns. B.1 microns. C.10 microns. D.100 microns.
The peak of the Earth's emission is 10 microns, while the sun's peak is 0.5 micron. Therefore, the correct answer is C. 10 microns.
About MicronsMicron is a unit of measure equivalent to one millionth of a meter or one thousandth of a millimeter. Microns are usually used to measure very small things, such as dust, bacteria, or airborne particles. One micron is equal to 0.001 millimeter or 0.000001 meter.
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Three balls are thrown off a cliff with the same speed, but in different directions. Which ball has the greatest speed just before it hits the ground?.
The relationship between the speed and height of the three balls is that; each ball will have the same speed.
What is the relationship between speed and height?
We are given that;
Three balls are thrown from a cliff with same speed
Ball A is thrown in the horizontal direction.
Ball B starts out at 45° above the horizontal.
Ball C begins its flight at 45° below the horizontal
From law of conservation of energy, we know that potential energy is equal to kinetic energy. Thus;
mgh = ¹/₂mv²
v = √2gh
Therefore, the speed is directly proportional to the height and as such since the three balls have the same height, their speeds will be the same.
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[NOTE : THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS:
Three balls are thrown off a cliff with the same speed but in different directions. Ball A is thrown in the horizontal direction; ball B starts out at 45° above the horizontal; ball C begins its flight at 45° below the horizontal. Which ball has the greatest speed just before it hits the ground? Assume that the ground near the building is level, and ignore any effects due to air resistance.]
what is induced current
Answer:
tu sala chutiya hai madarchod haramiEye at the lowest radiated power of 1,2 x10 x (- 17) W. Determine how many photons of light with a wavelength of 500nm fall on the retina of the eye every second
Answer:
\(\frac{n}{t} = 30\ photons/s\)
Explanation:
The radiated power can be given in terms of the wavelength as follows:
\(Rasiated\ Power = \frac{nE}{t} = \frac{nhc}{\lambda t}\)
where,
Radiated Power = 1.2 x 10⁻¹⁷ W
n = no. of photons = ?
h = plank's constant = 6.625 x 10⁻³⁴ J.s
c = speed of light = 3 x 10⁸ m/s
λ = wavelength = 500 nm = 5 x 10⁻⁷ m
t = time
Therefore,
\(1.2\ x\ 10^{-17}\ W = \frac{n(6.625\ x\ 10^{-34}\ J.s)(3\ x\ 10^8\ m/s)}{(5\ x\ 10^{-7}\ m)(t) }\\\\\frac{n}{t} = \frac{1.2\ x\ 10^{-17}\ W}{3.975\ x\ 10^{-19}\ J}\\\\\frac{n}{t} = 30\ photons/s\)
a uniform sphere of mass 3.8 kg and radius 0.1 m rolls down a ramp inclined at an angle 0.16 radians to the horizontal. what is the acceleration of the rolling sphere in m/s2 ?
A uniform sphere of mass 3.8 kg and radius 0.1 m roll down a ramp willing at an angle of 0.16 radians to the horizontal. The acceleration of the rolling sphere in m/s² is 3.9 m/s².
Mass is an intrinsic belonging of a body. It became historically believed to be related to the amount of being counted in a bodily body, until the discovery of the atom and particle physics. It becomes found that specific atoms and one-of-a-kind essential particles, theoretically with an equal quantity of matter, have nonetheless unique masses. Mass in contemporary physics has more than one definition which is conceptually wonderful, but bodily equal. The mass may be experimentally described as a measure of the body's inertia, which means the resistance to acceleration (exchange of velocity) whilst an internet pressure is carried out. The item's mass also determines the electricity of its gravitational enchantment to different bodies.
The SI base unit of mass is the kilogram (kg). In physics, mass isn't always the same as weight, despite the fact that mass is regularly decided with the aid of measuring the item's weight with the usage of a spring scale, rather than a stability scale comparing it directly with regarded loads. An object on the Moon could weigh less than it does on earth due to the lower gravity, however, it would still have an identical mass. this is because weight is a pressure, at the same time as mass is the property that (in conjunction with gravity) determines the power of this pressure.
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why does fiberglass insulation used in walls of houses often layered with shiny aluminum foil on one side
Answer:
Foil insulation can prevent radiant heat loss all year round. In summer, it can prevent heat from entering by reflecting sunlight. In winter, it can reflect heat back inside a room, keeping it warmer.
if you are driving in germany at a whopping 185 km/hr, what is your speed in miles per hour (mph
If you are driving in Germany at 185 km/hr, your speed in miles per hour (mph) is approximately 114.953 mph.
To convert kilometers per hour (km/hr) to miles per hour (mph), we can use the conversion factor. The conversion factor for km/hr to mph is 0.621371. This means that for every kilometer traveled in one hour, the equivalent distance traveled in miles is approximately 0.621371 miles.
To convert km/hr to mph, we simply multiply the speed in km/hr by this conversion factor. Therefore, we have,
185 km/hr * 0.621371 = 114.953135 mph (rounded to three decimal places)
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what is the approximate length of an astronomical unit
An astronomical unit (AU) is approximately 149.6 million kilometers (93 million miles), representing the average distance between the Earth and the Sun.
represent distances within the Solar System. It is approximately equal to the average distance between the Earth and the Sun.The current accepted value for the length of an astronomical unit is approximately 149.6 million kilometers (93 million miles) or about 8.3 light minutes. This value provides a useful reference for measuring distances within our Solar System.The AU is frequently used to express distances between planets, asteroids, and other celestial bodies in our solar system.
For example, the average distance from the Sun to Earth is approximately 1 AU, while the average distance from the Sun to Mars is about 1.5 AU.
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At what point on a roller coaster is the kinetic energy increasing? As it is going down the hill. At the top of the hill. As it is climbing the hill. At the bottom of the hill.
Answer:
As it is going down the hill
Explanation:
Answer:
As it is going down the hill.
Walt ran 5 kilometers in 25 minutes going eastward what is his average velocity
Answer:
1/5 km/min
Explanation:
the formula for velocity is distance/time
so if i plug in the distance and time i get 5/25 or 1/5
Hope this helps!
____________ is the attainment of organizational goals in an effective and efficient manner through planning, organizing, leading and controlling organizational resources
a. Leadership
b. Performance
c. Motivating
d. none of the above
Attainment of organizational goals in an effective and efficient manner through planning, organizing, leading, and controlling organizational resources is called management. Management is a set of activities planning, organizing, leading, and controlling aimed at attaining the goals of an organization efficiently and effectively.
It is an essential part of every organization, as it helps in the coordination of activities to achieve organizational goals. Leadership, performance, and motivating are not the correct answers. The correct answer is management. Management is the process of directing and controlling organizational resources (including people) to achieve organizational goals.
Management is the attainment of organizational goals in an effective and efficient manner through planning, organizing, leading, and controlling. The more efficiently and effectively an organization can achieve its goals, the more successful it is according to this approach.
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Imagine a uniform magnetic field, pointing in the z direction and filling all space (B = Bo 2). A positive charge is at rest, at the origin. Now somebody turns off the magnetic field, thereby inducing an electric field. In what direction does the charge move?
A long answer to the given question is as follows:A uniform magnetic field fills all the space pointing in the z direction with a strength of B = Bo 2.
There is a positive charge which is stationary and placed at the origin. When the magnetic field is turned off, an electric field is induced. The direction in which the charge moves can be determined by using Fleming's right-hand rule. The rule states that when the thumb, index finger, and middle finger of the right hand are all mutually perpendicular, then the thumb points in the direction of the force (F), the index finger points in the direction of the magnetic field (B), and the middle finger points in the direction of the motion (v)
According to the given problem statement, the magnetic field is turned off, and an electric field is induced. Due to this electric field, the positive charge will experience an electric force which is perpendicular to the magnetic field. Now, according to the Fleming's right-hand rule, the electric force will be in the direction of the thumb. Therefore, the charge will move in the direction of the electric force, which is perpendicular to the magnetic field, i.e., in the xy-plane.
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the small lightweight particles outside the nucleus of an atom are called___.
The neutron has no charge, and a mass of slightly over 1 amu. Some scientists propose the neutron is made up of a proton and electron-like particle. The electron is a very small particle located outside the nucleus.
Electron: -1
Neutron: 0
Proton: +1
A stretched string, clamped at its ends, vibrates with a fixed wavelength at a particular frequency. To double that frequency, one can change the string tension by a factor of
To double the frequency of a vibrating stretched string with a fixed wavelength, the string tension needs to be increased by a factor of four (4).
When a string is under tension and clamped at its ends, it can vibrate at specific frequencies determined by its tension, mass per unit length, and the length of the string. The frequency of vibration is inversely proportional to the wavelength of the wave produced on the string.
In this scenario, we want to double the frequency of vibration while keeping the wavelength constant. Since frequency is directly proportional to the square root of tension, we need to increase the tension by a certain factor to achieve our desired frequency.
Using the equation for frequency in terms of tension and other variables, we can deduce that to double the frequency, the tension must be increased by a factor of four (4). This means that the new tension will be four times the original tension.
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find the slope of the graph of the equation at the given point. (if an answer is undefined, enter undefined.) xy − 9y2 = 4, (20, 2)
The slope of the graph of the equation at the point (20, 2) is 1/8.
To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:
xy - 9y^2 = 4
To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:
1 * y + x * dy/dx - 9 * 2y * dy/dx = 0
Simplifying this equation:
y + x * dy/dx - 18y * dy/dx = 0
Grouping the terms with dy/dx:
dy/dx * (x - 18y) = -y
Now, let's solve for dy/dx by dividing both sides by (x - 18y):
dy/dx = -y / (x - 18y)
Substituting the given point (20, 2) into the equation:
dy/dx = -2 / (20 - 18(2))
= -2 / (20 - 36)
= -2 / (-16)
= 1/8
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what must be the pressure difference between the two ends of a 1.6km section of pipe, 29 cm in diameter, if it is to transport oil (p= 950 kg/m3 ,n = 0.20 Pa. s) at a rate of 650 cm3/s?
Answer:
The pressure difference required between the two ends of the 1.6 km pipe section, with a diameter of 29 cm, to transport the oil at a rate of 650 cm^3/s, is approximately 0.398 Pa.
Explanation:
To calculate the pressure difference between the two ends of a pipe, we can use the Poiseuille's Law equation, which relates flow rate, viscosity, pipe length, diameter, and pressure difference.
The formula is as follows: ΔP = (8 * n * L * Q) / (π * r^4)
Where:
ΔP is the pressure difference,
n is the viscosity of the fluid,
L is the length of the pipe section,
Q is the flow rate,
and r is the radius of the pipe (half of the diameter).
Given:
L = 1.6 km = 1600 m (convert to meters)
Diameter = 29 cm
Radius (r) = 29 cm / 2 = 14.5 cm = 0.145 m (convert to meters)
Q = 650 cm^3/s = 650 * 10^-6 m^3/s (convert to cubic meters per second)
n = 0.20 Pa.s (viscosity)
p = 950 kg/m^3 (density)
ΔP = (8 * 0.20 * 1600 * 650 * 10^-6) / (π * (0.145)^4)
ΔP ≈ 0.398 Pa
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A sphere of radius R has charge Q. The electric field strength at distance r>R is Ei. Each Part in this question changes only one quantity; the other quantities have their initial values.
A) What is the ratio Ef/Ei of the final to initial electric field strengths if Q is halved?
B) What is the ratio Ef/Ei of the final to initial electric field strengths if R is halved?
C) What is the ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R)?
The ratio Ef/Ei of the final to initial electric field strengths, if Q is halved, is 1/2. B) The ratio Ef/Ei of the final to initial electric field strengths, if R is halved, is 4. C) The ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R) is 2. The correct option is A).
Given that Sphere of radius R has charge Q. The electric field strength at a distance r > R is Ei. Therefore, the electric field intensity at a distance from the center of a charged sphere of radius R is:
Ei = kQ/R² ... (1)
Now,
A) When Q is halved, the electric field intensity
\(Ef isEf = kQ/2R² ... (2)\)
Therefore, the ratio of the electric field intensity at r > R after Q is halved and before halving is:
\(++Ef/Ei = (kQ/2R²)/(kQ/R²) = 1/2B)\)
When R is halved, the electric field intensity
\(Ef isEf = kQ/(R/2)² = 4kQ/R² ... (3)\)
Therefore, the ratio of the electric field intensity at r > R after R is halved and before halving is:
\(Ef/Ei = (4kQ/R²)/kQ/R² = 4C)\)
When r is halved (but still >R), the electric field intensity Ef is
\(r = R/2...\)
Therefore, the ratio of the electric field intensity at r > R after r is halved and before halving is:
\(Ef/Ei = kQ/(R/2)² / kQ/R² = 2.\)
Hence, the required ratios are A) 1/2 B) 4 C) 2. Therefore, the correct option is A).
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A 10-kg toy truck moves at 5 m/s East. It collides head-on with a 5-kg
toy car moving at 10 m/s, West. What is the total momentum of the
system?
0 kg m/s
50 kg m/s
30 kg m/s
10 kg m/s
The total momentum of the system is zero, which means that the toys are at rest after the collision. Here option A is the correct answer.
The total momentum of a system is defined as the sum of the individual moments of all objects within the system. Momentum is a vector quantity, which means that it has both magnitude and direction. In this case, we can consider the positive direction to be East and the negative direction to be West.
Before the collision, the momentum of the truck can be calculated as:
\($p_1 = m_1 v_1 = (10 \textrm{ kg})(5 \textrm{ m/s})$\)
= 50 kg m/s (to the East)
where \(m_1\) is the mass of the truck and \(v_1\) is its velocity
Likewise, the momentum of the car before the collision can be calculated as:
\($p_2 = m_2 v_2 = (5 \textrm{ kg})(-10 \textrm{ m/s})$\)
= -50 kg m/s (to the West)
where \(m_2\) is the mass of the car and \(v_2\) is its velocity.
Since the car is moving in the opposite direction to the truck, its velocity is negative. When the two toys collide, they experience an equal and opposite force, as per Newton's third law of motion. As a result, the total momentum of the system remains conserved. This means that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, the total momentum of the system can be calculated as:
\(p = p_1 + p_2\)
p = 50 kg m/s + (-50 kg m/s)
p = 0 kg m/s
This is because the momentum of the truck is equal in magnitude but opposite in direction to the momentum of the car, resulting in a net momentum of zero.
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Complete question:
A 10-kg toy truck moves at 5 m/s East. It collides head-on with a 5-kg
toy car moving at 10 m/s, West. What is the total momentum of the system?
A - 0 kg m/s
B - 50 kg m/s
C - 30 kg m/s
D - 10 kg m/s
Carbon-14 is the typical radioisotope used to date materials; however, it has a limitation to 40,000 years. A scientist who wants to date materials older than 40,000 years would most likely use which radioisotope? uranium-238 rubidium-91 iodine-131 cobalt-60
Answer:
the only one of these materials that allows studying processes of a very long period of time is Uranium 238
Explanation:
In a radioactive material, half of the atoms decay each life period, in carbon 14 this period T = 5730 years, so for a time of 40,000 years there are 7 life periods, so there are very few atoms left without decomposing .
To study older samples, materials with a longer life period are needed, let's show the visa time
²³⁸U T= 4.5 10¹⁰ years
⁹¹Rb T = 58 s
¹³¹I T= 8.04 days
⁶⁰Co T= 5.27 years
Therefore, the only one of these materials that allows studying processes of a very long period of time is Uranium 238
Answer:
A) Uranium-238 is the correct answer.