Answer:
33.23 m
Explanation:
At the point where both objects will meet, the vertical height will be equal.
From the equations of motion, the vertical height of the body falling at any time is given as
(y - y₀) = ut + ½gt²
y = vertical height at any time T
y₀ = initial height of the object = 81.5 m
u = initial velocity = 0 m/s (body was dropped)
g = -9.8 m/s²
(y - 81.5) = 0 - 4.9T²
y = 81.5 - 4.9T² (eqn 1)
For an object thrown up, the vertical height of the body at any time, t, is given as
(y - y₀) = ut + ½gt²
y = vertical height of the object at any time t
y₀ = initial height of the object = 0 m
u = initial velocity = 40 m/s
g = -9.8 m/s²
y = 40t - 4.9t² (eqn 2)
At the point where the two objects meet, we equate eqn 1 and eqn 2
y = y
81.5 - 4.9T² = 40t - 4.9t²
But T = (t + 2.2) (Since object 2 was dropped 2.2 s after object 1)
81.5 - 4.9(t + 2.2)² = 40t - 4.9t²
81.5 - 4.9(t² + 4.4t + 4.84) = 40t - 4.9t²
81.5 - 4.9t² - 21.56t - 23.716 = 40t - 4.9t²
81.5 - 21.56t - 23.716 - 40t = 0
57.784 = 61.56t
t = (57.784/61.56) = 0.93866 = 0.94 s
Therefore, the vertical height at t = 0.93866 s is
y = (40×0.93866) - 4.9(0.93866²) = 33.23 m
Hope this Helps!!!
An astronaut has a mass of 82.0 kilograms. What will her gravitational force be on the Moon? The gravitational attraction on the Moon is 1.60 m/s2.
51.3 N
95.6 N
102 N
131 N
Answer:
131 N
Explanation:
F = 82.0 kg x 1.60 m/s^2 = 131.2 N
What kind of physical quantity is force?
a. Force is a scalar quantity.
b. Force is a vector quantity.
c. Force is both a vector quantity and a scalar quantity.
d. Force is neither a vector nor a scalar quantity.
Give two ways humans can reduce the amount of carbon at the location from #3. Give one example that will reduce carbon entering this location and one example that will increase carbon exiting this location. Explain how this reduces the carbon.
1. Reducing Carbon Entering: Planting more trees at the location is an effective way to reduce the amount of carbon at this location.
What is Carbon?Carbon is an element found in abundance in the Earth's atmosphere and is one of the most abundant elements in the universe. Carbon is a key component of all living organisms and serves as the backbone of life on Earth. Carbon exists in several different forms, including coal, oil, natural gas, and diamonds, and can be found in many other materials, such as plastics, paper, and fabrics.
Trees absorb carbon dioxide from the atmosphere and use it to produce oxygen through photosynthesis. This process helps to reduce the amount of carbon entering the location.
2. Increasing Carbon Exiting: Installing solar panels at the location is an effective way to increase the amount of carbon exiting the location. Solar panels convert solar energy into electricity, releasing carbon dioxide into the atmosphere during the process. This helps to reduce the amount of carbon at the location by releasing it back into the atmosphere.
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Two identical clocks are set to 12 noon time when on the ground at rest relative to the ground. One clock is placed in a spacecraft, sent into space and accelerated to a speed of v = 0.93 x 108 m/s. What will the moving clock read if the first clock reads 6 p.m.? Express your answer as the number of minutes from 6 pm.
First, for this problem, we will need to know the formula for time dilation
\(t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}}\)Where t is the time in the reference frame on earth
t0 is the time on the ship
v is the velocity relative to lightspeed
and c is light speed in a vacuum
For this problem, we will need to convert .93x10^8 to a fraction of light speed.
.93x10^8 = .31c
Now, we can plug in the numbers we get from the given
t0 = 6 hours since the ship has been in the air for 6 hours
\(t=\frac{6}{\sqrt{1-\frac{(.31c)^2}{c^2}}}\)t = 6.31089
For the answer to be valid, we will convert .31089 to minutes by multiplying it by 60 (60 minutes in a hour)
18.654 minutes
Which of the five criteria that define minerals explains why polymorphs are actually different minerals?
Plssss help!!! look at the photo :)
A difference between linear momentum and angular momentum involves...
Answer:
Both are analogous terms.
Explanation:
Linear momentum is used to refer to a body moving on a straight path whereas angular momentum is used for a body moving on a circular path.
A 30 kg kid on a bike is moving in the positive direction at 7 m/s.
6. A) Calculate: What is the kid's momentum (give the magnitude and the direction)? Show your work on your answer sheet: defined variables, formula used, numbers plugged in, answer with units. Round your answer to the nearest tenth if necessary.
The momentum of the kid weighing 30kg is 210kgm/s.
How to calculate momentum?Momentum in physics refers to the tendency of a body to maintain its inertial motion i.e. the product of its mass and velocity, or the vector sum of the products of its masses and velocities.
According to this question, a 30kg kid on a bike is moving in the positive direction at 7 m/s. The momentum is calculated thus;
Momentum = 30kg × 7m/s = 210kgm/s
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when does the bird have the most potential energy when it dives into a oceran
The bird has the most potential energy when it is at the highest point of its dive into the ocean.
1. Potential energy is the energy possessed by an object due to its position or state.
2. In this case, we are considering the potential energy of a bird diving into the ocean.
3. The potential energy of an object depends on its height and mass.
4. When the bird is at the highest point of its dive, it has the maximum potential energy.
5. As the bird dives deeper into the ocean, its height decreases, resulting in a decrease in potential energy.
6. At the moment the bird reaches the surface of the water, its potential energy is at its minimum, as it is at its lowest height.
7. The potential energy is converted into kinetic energy as the bird accelerates towards the water.
8. Kinetic energy is the energy possessed by an object due to its motion.
9. When the bird enters the water, its potential energy is completely converted into kinetic energy.
10. The bird continues to possess kinetic energy as it moves through the water.
11. Once the bird comes to a stop in the water, its kinetic energy is reduced to zero.
12. At this point, the bird's potential energy is also zero, as it is at its lowest height and not in motion.
13. Therefore, the bird has the most potential energy when it is at the highest point of its dive into the ocean.
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What natural process is responsible for the shape of the mushroom rock?
(PLEASE HELP ME!!!!!)
Answer:
A mushroom rock, rock pedestal, or gour is a typical mushroom-shaped landform that is formed by the action of wind erosion. ... In some cases, harder rocks are arranged horizontally over a softer rock, resulting in such erosion.
Explanation:
Answer:
wind erosion
Explanation:
Problem 1:(Brownian particle) [25 marks] Consider an elastically bounded Brownian particle. The overdamped motion is given by the following Langevin equation dx dV my. - + f(t) dt dx The potential is
The motion of a Brownian particle can be described by an overdamped Langevin equation.
The Langevin equation for an elastically bounded Brownian particle is given by the following equation:
dx dV my. - + f(t) dt dx where the potential is given by
The mean square displacement (MSD) of the particle can be computed using the following formula:
MSD = = (2kBT/my) t
The MSD of a Brownian particle increases linearly with time and is proportional to the temperature of the system, where kBT is the thermal energy of the particle, m is its mass, and y is the damping coefficient.
In the overdamped limit, the particle's velocity can be ignored, and the motion can be described entirely by its position. The particle's motion can be influenced by random fluctuations caused by the thermal energy of the system, which can be modeled as a Gaussian white noise process f(t) with zero mean and a variance of 2D.
The particle's motion is confined to a bounded region by an elastic potential, which exerts a force on the particle that is proportional to its displacement from the origin. The potential has a minimum at the origin, and its strength is determined by the spring constant k.
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PLEASE HELP
Approximate grams per spoonful:
g
7 point
The heat energy from convection currents in magma also drives the rock
cycle. Convection and movement of the plates causes rock to move
between Earth's surface and interior. It provides the heat that changes
rocks inside Earth to form metamorphic rocks. Igneous rocks form when
magma cools and solidifies. The older rocks that are broken down and
converted to sedimentary rocks might come from igneous and
metamorphic rocks or even older sedimentary rocks. TRUE or FALSE: The
rock cycle is directly related to convection currents.
True
False
1d. Conservation of energy is demonstrated in this roller coaster example.
The Conservation of Energy is a principle which states that energy cannot be created
or destroyed, but can be altered from one form to another
Friction plays a significant role in the efficiency of the rollercoaster cars. Explain how, even
with friction, the law of conservation of energy still holds true. (2 points)
Answer:
According to the principle of the Conservation of Energy, energy can neither be destroyed or created, energy can be transformed from form to another
The forms of energy the car has at the different stages is given by virtue of either the position of the car, which is the car's potential energy, or the speed of the car, which gives the potential energy of the car
However, due to the frictional forces acting on the car, there is a frictional force which requires work to be done for the car to move between points in the roller coaster
Therefore, based on the Conservation of Energy principle, we have;
The total energy of the roller coaster, M.E. = m·g·\(h_{max}\)
Where;
m = The mass of the roller coaster = 4,500 kg
g = The acceleration due to gravity ≈ 9.81 m/s²
\(h_{max}\) = The maximum height = 30 m
Therefore, M.E.\(_A\) = 4,500 × 9.81 × 30 = 1,324,350 J
The energy at point B, \(M.E._B\) = 4,500×15×9.81 + (1/2) ×4,500×17.15² = 1,323,950.625
The energy at point B, \(M.E._B\) = 1,323,950.625 J
At point C, the total energy, \(M.E._C\) = (1/2)·m·v²
Where;
v = The velocity of the roller coaster at point c = 24.25 m/s
Therefore;
\(M.E._C\) = (1/2) × 4,500 × 24.25² = 1,323,140.625
At point C, the total energy, \(M.E._C\) = 1,323,140.625 J
Therefore, given that the energy at point A, M.E.\(_A\) is larger than the energy at point B, \(M.E._B\), is larger than the energy at point C, \(M.E._C\), the loss in energy can be explained by the presence of the friction which require energy for movement of the roller coaster between the points
Explanation:
a uniform disk of radius 0.5 m is rotating around its center with angular velocity 4 , and angular acceleration 3.4 . a spec of dust is stuck on the disk at a distance of 0.33 from the center. what is the linear acceleration of the dust spec? answer in units of , round your answer to two decimal places.
The linear acceleration of the disk is \(8.17 m/s^{2}\).
We know that, a rotating disk has two acceleration:
Radial acceleration (\(a_{r}\)) = ω^2 * r and
Tangential acceleration\((a_{t} )\) = \(\alpha r\)
where ω = angular velocity
\(\alpha\) = angular velocity
r = radius
Given, ω = 4 m/s , \(\alpha\) = 3.4 \(m/s^{2}\) , r = 0.5m
Putting these values in above equation we get
\(a_{r} = 8 m/s^{2} \\a_{t} = 1.7 m/s^{2}\)
The linear acceleration is given by:
\(a = \sqrt{a_{r} ^{2} + a_{t} ^{2} }\)
Putting respected values in above equation we get a = 8.17 \(m/s^{2}\).
So the linear acceleration of the disk is \(8.17 m/s^{2}\).
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a light beam in air has an angle of incidence of 35 degrees at the surface of a glass plate. what are the angles of reflection and refraction respectively? the index of refraction for glass is 1.50.
The angle of reflection is 35°.
The angle of refraction is 59.36°.
What is reflection?It is referred to as light reflection when a light ray hits a polished, smooth surface and bounces back. The incident light rays hit the surface and are reflected off of it. The beam that returns is referred to as the reflected ray.
Given that: a light beam in air has an angle of incidence of 35 degrees at the surface of a glass plate.
The index of refraction for glass is = 1.50.
Hence, angle of reflection is = angle of incident = 35°.
The angle of refraction is = sin⁻¹(μsini)
= sin⁻¹(1.50sin35°)
= 59.36°
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What is the quantum number of an electron confined in a 5.0-nm-long one-dimensional box if the electron's de Broglie wavelength is 2.0 nm
The quantum number of an electron confined in a 5.0-nm-long one-dimensional box, with a de Broglie wavelength of 2.0 nm, can be determined using the formula n = L/λ, where n is the quantum number, L is the length of the box, and λ is the de Broglie wavelength.
In a one-dimensional box, the allowed energy levels for a particle are determined by the length of the box and the de Broglie wavelength associated with the particle. The quantum number n represents the number of nodes or segments that can fit within the box.
Using the formula n = L/λ, we can calculate the quantum number by dividing the length of the box (L = 5.0 nm) by the de Broglie wavelength (λ = 2.0 nm).
Substituting the values, we get n = 5.0 nm / 2.0 nm = 2.5. However, quantum numbers must be integers, so we round down the result to the nearest whole number. Therefore, the quantum number for the electron confined in the 5.0-nm-long one-dimensional box with a de Broglie wavelength of 2.0 nm is 2.
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I need help pls. Will mark brainliest.
Ek=kinetic energy (J)
m=mass of object (Kg)
v=speed of object (m/s)
We have the following formula:
Ek=(1/2)mv² ⇒ m=2(Ek)/v²
In this case:
m= mass of the child + mass of the bike
m=30 kg + m₁ (m₁=mass of the bike).
We would have to modify our formula like this:
m=2(Ek)/v²
m=30 kg + m₁
30 kg +m₁=2(Ek)/v²
m₁=2(Ek)/v²-30 kg
We have the following data:
v=0.6 m/s
Ek=12.4J
m=30 Kg + m₁
Therefore:
m₁=2(Ek)/v² - 30 kg
m₁=2(12.4 J)/(0.6 m/s)² - 30 kg
m₁=24.8 J/(0.36 m²/s²) -30 kg
m₁=68.89 Kg - 30 kg
m₁=38.89 Kg
Answer: the mass of the bike is 38.89 Kg.
A narrow beam of light is travelling through a transparent liquid. It meets the surface as shown, at
an angle of incidence of 40°. The refractive index of the liquid is 1.5.
air
liquid
40
What is the angle of refraction as the light enters the air?
A 25
B 27
C 60°
D 75
Answer:
the correct answer is B) 27.
Explanation:
To find the angle of refraction, you can use the formula:
n1 * sin(angle of incidence) = n2 * sin(angle of refraction)
where n1 and n2 are the refractive indices of the two media (in this case, air and the liquid), and the angles are measured from the normal to the surface.
Plugging in the values from the problem, we have:
1 * sin(40) = 1.5 * sin(angle of refraction)
Solving for the angle of refraction, we get:
angle of refraction = sin^-1(1/1.5 * sin(40))
Using a calculator or a table of trigonometric functions, we can find that the value of sin^-1(1/1.5 * sin(40)) is approximately 27.3 degrees.
Therefore, the correct answer is B) 27.
Explain newton's second law in terms of inertia?
Answer:
Newton's second law is F=ma. And since inertia is the resistance an object has against a change in velocity or force, you must push a lot harder to start moving an object, but once it starts to move, it is a lot easier, until you go to stop it.
Explanation:
. Calculate the weight of a 7 kg object.
Answer:
68.6N
Explanation:
Given parameters:
Mass of object = 7kg
Unknown:
Weight = ?
Solution:
The weight is the downward force of gravity on a body;
Weight = mass x acceleration due to gravity
Weight = 7 x 9.8 = 68.6N
Explain the law of inertia in your own words.
A
An object at rest will remain at rest unless acted on by a force. An object in motion continues in motion with the same speed and in the same direction unless acted upon by a force.
Explanation:
Answer:
Law of inertia is Newton's first law of motion..
Explanation:
It means that a body will tend to be in it's motion or tend to move in a straight line unless any external force is acted upon it..
Eg: while you are travelling in bus.. If breaks are suddenly applied your body falls forward because you were in motion with bus but it tries to be in motion when breaks are applied...
The goose has a mass of 20.3 lblb (pounds) and is flying at 10.1 miles/hmiles/h (miles per hour). What is the kinetic energy of the goose in joules
Therefore, the kinetic energy of the goose is approximately 928.2 joules.
To calculate the kinetic energy of the goose, we need to convert its mass from pounds to kilograms, and its velocity from miles per hour to meters per second.
1 pound = 0.453592 kg
1 mile/hour = 0.44704 meters/second
Using these conversion factors, we can find the mass and velocity of the goose in SI units:
mass = 20.3 lb x 0.453592 kg/lb = 9.20513 kg
velocity = 10.1 miles/hour x 0.44704 meters/second = 4.51444 m/s
The kinetic energy of the goose is given by the formula:
KE =\((1/2)mv^2\)
here KE ia all about the kinetic energy, and m is the mass, here v is the velocity.
Put all the values so that we have found, and we get:
KE = (1/2)(9.20513 kg)\((4.51444 m/s)^{2}\) = 928.2 joules
Therefore, the kinetic energy of the goose is approximately 928.2 joules.
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a water tank measures in 14m by 80cm by 60cm .find it capacity the volume of water it hold in liters
Answer:
V = 6720 [Lt]
Explanation:
The volume of a paralepiped can be found by means of the following expression:
V = L*W*H
where:
L = length = 14 [m]
W = width = 80 [cm] = 0.8 [m]
H = heigth = 60 [cm] = 0.6 [m]
V = volume [m³]
V = 14*0.8*0.6
V = 6.72 [m³]
Now we must apply the conversion factor of cubic meters to liters, this factor tells us that 1000 liters is equal to one cubic meter.
\(6.72[m^{3}]*1000\frac{lt}{1m^{3} } \\\)
V = 6720 [Lt]
Marking brainliest please help
Answer:
increase to four times its initial value
hope this helps you ☺️☺️
ASNWER THIS OR ILL KIDNAPP YOUR DOG AND REVEAL YOUR SEARCH HISTORY!!
Name 3 different forces that act on objects on the Earth
Answer:
Applied Force.
Gravitational Force.
Normal Force.
Frictional Force.
Air Resistance Force.
Tension Force.
Spring Force.
Explanation:
:)
Which statement is NOT an advantage of renewable resources? A They produce clean energy. B They are expensive to collect and transform into energy. C They are safe for the environment. D They replenish quickly.
Answer:
B. They are expensive to collect and transform into energy.
Explanation:
All of the other options are positive aspects of renewable resources. B is the only disadvantage of renewable resources given in the question.
Answer:
They are expensive to collect and transform into energy.
Explanation:
Edge
Help!!
I'm not sure my answer is correct.
The problem is attached!
Answer:
where's ur answer?
Explanation:
hihi
how much faster will a car be going if it accelerates at 1 m/s/s for a total of 60 seconds.
Answer:
Vf = 60 [m/s]
Explanation:
To solve this problem we must use the following equation of kinematics.
\(v_{f}= v_{i}+(a*t)\)
where:
Vf = final velocity [m/s]
Vi = initial velocity = 0
a = acceleration = 1 [m/s^2]
t = time = 60 [m]
Now replacing:
Vf = 0 + (1*60)
Vf = 60 [m/s]
Which options lists a form of kinetic energy followed by a form of potential
energy
A. Thermal energy| Electromagnetic energy
B. Sound energy| Magnetic energy
C. Chemical energy| Gravitational energy
D. Elastic energy| Magentic energy
Answer:
D.Elastic energy| Magentic energy