If a car has acceleration given by a(t) = −8e0.2t m/s² and initial velocity 15 m/s then it takes the car about 3.86 seconds to stop and the car travels about 43.6 meters before coming to a stop.
(a) To find the time it takes the car to stop, we need to find when its velocity becomes zero. We can use the kinematic equation:
v = u + at
where v is the final velocity (zero in this case), u is the initial velocity (15 m/s), a is the acceleration (-8e0.2t m/s²), and t is the time we are looking for. Substituting these values, we get:
0 = 15 - 8e0.2t
Solving for t, we get:
t = (1/0.2) ln(15/8) ≈ 3.86 seconds
Therefore, it takes the car about 3.86 seconds to stop.
(b) To find how far the car travels in this time, we can use the kinematic equation:
s = ut + (1/2)at²
where s is the distance traveled. Substituting the values we know, we get:
s = 15(3.86) + (1/2)(-8e0.2)(3.86)²≈ 43.6 meters
Therefore, the car travels about 43.6 meters before coming to a stop.
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A boy is looking into a plane mirror .His nose is 30 cm in front of the mirror .How far is his nose from where its image appears to be ?
Answer:
60cm
Explanation:
30+30=60
All battery powered devices, run off of what type of power?
Answer:
Electrical energy
Explanation:
electrical energy Essentials. A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.
What is the magnitude of the net electric field at the origin produced by this distribution of charge?
The magnitude of the net electric field at the origin due to the given distribution of charge is E_net = 4kQ/πR².
Given:
A semi-circle distribution with radius 'r'
Charges '+Q' and '-Q'
Calculation of net electric field:
Step 1:
The electric field for a charge is given as:
E = (kλ/R) i + (kλ/R) j - ( 1 )
where, k is Coulomb's force constant
λ is charge density
R is separation distance between the charges
i & j are unit vectors for x-axis and y-axis respectively
Step 2:
The electric field due to charge +Q is given as:
E₁ = (kλ/R) i - (kλ/R) j - ( 2 )
The electric field due to charge -Q is given as:
E₂ = (kλ/R) i + (kλ/R) j - ( 3 )
Step 3:
Thus, the net electric field will be given as:
E_net = E₁ + E₂
Applying values in above equation, we get:
E_net = (kλ/R) i -(kλ/R) j + (kλ/R) i + (kλ/R) j
=( kλ/R) [ i - j + i + j ]
= 2i (kλ/R) -( 4 )
Step 4:
Now, we know that the linear charge density is given as:
λ = Charge/length
= Q/(πR/2)
= 2Q/πR
Applying the value in equation 4, we get:
E_net = 2i (k(2Q/πR)/R)
= 4i (kQ/πR²)
= 4kQ/πR²
Therefore, the net electric field due to the given charge distribution is of magnitude 4kQ/πR² directed along the positive x-axis.
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Starting from rest on a level road a girl can reach a speed of 5 m/s in 10s on her bicycle. Find average speed and distance traveled in 10s.
Answer:
Average speed = 2.5 mph
Distance = 22.352 meters
Explanation:
Calculate speed, distance or time using the formula d = st, distance equals speed times time.
Calculate speed, distance or time using the formula d = st, distance equals speed times time.
You can use this formula for any question like this
Evelynn is measuring the pitch of a piano note. What unit of measurement is she most likely recording her value
in?
O hertz
decibels
Ofrequency
amplitude
Answer:
hertz
Explanation: play piano
The seismogram shows P-wave and S-wave arrival times at a seismic station following an earthquake. The distance from this seismic station to the epicenter of the earthquake is approximately
answer choices
O 1,600 km
O 3,200 km
O 4,400 km
O 5,600 km
Based on the time difference between the P-wave and S-wave arrivals on the seismogram, the approximate distance from the seismic station to the earthquake epicenter is calculated to be 70 kilometers. However, the given answer choices do not match this distance.
To calculate the distance to the earthquake epicenter using the given seismogram, we need to determine the time difference between the P-wave and S-wave arrivals. Let's assume we have the following information:
P-wave arrival time: tP
S-wave arrival time: tS
Calculate the time difference between the P-wave and S-wave arrivals:
Time Difference = tS - tP
Determine the average wave velocity for P-waves and S-waves in the specific geological region. Let's assume the velocities are:
P-wave velocity: VP
S-wave velocity: VS
Calculate the distance to the epicenter using the formula:
Distance = (Time Difference) * (P-wave velocity)
Note: Since S-waves travel slower than P-waves, we use the P-wave velocity to calculate the distance.
Let's assume the given seismogram provides the following values:
P-wave arrival time: tP = 10 seconds
S-wave arrival time: tS = 30 seconds
P-wave velocity: VP = 5 km/s
Calculate the time difference:
Time Difference = tS - tP
= 30 s - 10 s
= 20 seconds
Assume the P-wave velocity:
P-wave velocity: VP = 5 km/s
Calculate the distance to the epicenter:
Distance = (Time Difference) * (P-wave velocity)
= 20 s * 5 km/s
= 100 km
Therefore, based on the given information, the approximate distance from the seismic station to the earthquake epicenter is 100 kilometers.
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How does an airplane fly in air? Explain on the basis of the law of flotation
Answer: Airplanes fly because they are able to generate a force called Lift which normally moves the airplane upward.
Explanation:
write the chemical formulae for; nitrogen monoxide, hydrochloric acid, barium phosphate, ammonium hydroxide,nitric acid
Answer:
Nitrogen Monoxide = NOHydrochloric Acid = HCLBarium Phosphate = (Ba) 3{(Po)4}Ammonium Hydroxide = (NH) 4(OH) Nitric Acid = H(NO)3
the total mechanical energy of a simple harmonic oscillating system is:_____. a minimum when it passes through the equilibrium point.
a non-zero constant. zero as it passes the equilibrium point. a maximum when it passes through the equilibrium point. zero when it reaches the maximum displacement.
The total mechanical energy of a simple harmonic oscillating system is: a non-zero constant.
In a simple harmonic oscillating system, the total mechanical energy is the sum of kinetic energy and potential energy. When the system passes through the equilibrium point, its kinetic energy is at a maximum, and potential energy is at a minimum.
As the system reaches maximum displacement, its potential energy becomes maximum, and kinetic energy becomes minimum. Throughout the oscillation, the sum of these two energies remains constant, which means the total mechanical energy is a non-zero constant.
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Which two elements have similar properties and 8 electrons in their outermost shells?
A. Chlorine and bromine
B. Calcium and strontium
C. Nitrogen and phosphorus
D. Argon and krypton
** THE ANSWER IS D **
Answer:
D
Explanation:
their octet is complete they don't react with any thing
Argon and krypton have similar properties, and they have a complete octet, which means that they do not react with anyone. Hence, option D is correct.
What are inert gases?The phrase "inert gas" is a bit misleading because, in some circumstances, these gases can really be reactive. As a result, these gases are typically referred to as noble gases in the context of chemistry and materials science.
The term "noble" has historically been used in chemistry (and earlier in alchemy) to characterize the resistance of some metals to chemical reaction, and the term "noble gas" denotes the same resistance.
Helium (He)Neon (Ne)Argon (Ar)Krypton (Kr)Xenon (Xe)Radon (Rn)These are the inert gases which are mentioned in the periodic table.
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You are gardening in the peak of summer, it hasn't rained in a week, and your plants are looking rough. You decide to water the plants for an hour. The next day you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. With what you know from class, please try and explain what is happening to your plants.
In the peak of summer, it hasn't rained in a week, and the plants are looking rough, so watering the plants for an hour is a good idea.
However, the next day, you come back to the garden, and the plants look in worse shape than they did previously, as if none of that water made it to the plant. Plants absorb water through their roots. The root system of a plant is responsible for drawing water and nutrients from the soil. A plant's root system must be able to absorb water quickly in order for the plant to grow and thrive. When the soil around the root system is dry, the roots will stop growing and will not be able to absorb water.
It may even start to die. Watering plants during the peak of summer is important because it will help keep the soil moist and prevent the roots from drying out. However, watering a plant too much can be harmful. If a plant is overwatered, the water may not be able to penetrate the soil and reach the roots. Instead, it may just sit on top of the soil, causing the roots to rot and die. This can cause the plant to wilt and die.To summarize, if the soil around the plant is too dry, the roots may not be able to absorb the water you gave them, causing the plant to look worse than before. Conversely, overwatering can also be harmful because the water may not be able to penetrate the soil and reach the roots, causing the roots to rot and die.
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Explain what happens to an atom when the number of protons neutrons or electrons changes while the number of the other two particles remain the same
Answer: oxidizes or reduces
Explanation: When you change the number of protons in an atom, you will change the atom from one element to a different element.
What specific type of tide has the smallest difference between high and low tide?
Answer: Neap tides
Explanation: Neap tides are tides that have the smallest tidal range, and they occur when the Earth the Moon, and the Sun form a 90o angle. They occur exactly halfway between the spring tides when the Moon is at first or last quarter.
What two things related to sedimentary rocks do you see at the Grand Canyon ?
Answer:
sandstone and mudstone
Explanation:
Answer and I will mark Branliest!!!
3. _____________is a means of creating force leading to movement. *
A. Propulsion
B. Dialysis
C. Magnification
D. Osmosis
Answer:
propulsion
Explanation:
the value of velocity ratio is greater than the value of mechanical advantage why
Answer:
The mechanical advantage of a machine is always less than its velocity ratio.It is because mechanical advantage decreases due to the friction and weight of moving parts of the machine, but the velocity ratio remains constant.
Answer:
because velocity ratio dont depend upon friction whereas in case of mechanical advantage the some of the input work is affected by the friction so the value of velocity ratio is always greator than mechanical advantage.
Invent a previously untried set of changes to make something interesting happen. Describe what you did, and what the effects were.
Answer:
Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
Jim wishes to push a 100. N wood crate across a wood floor.What is the minimum horizontal force that would be required to start the crate moving?
For the wood crate to move, the force applied (minimum horizontal force) must be greater than the static friction between the wood crate and the wood floor
Given that Jim wishes to push a 100. N wood crate across a wood floor.
The weight of the wood = 100N
The weight will produce a normal reaction N which is equal in magnitude to the magnitude of the weight. That is,
N = mg = 100N
For the wood crate to move, the force applied must be greater than the static friction between the wood crate and the wood floor.
Static friction = μN
Where μ = static friction.
Therefore, the minimum horizontal force that would be required to start the crate moving depend on the nature of the surface of the wood floor.
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What is the density of the object that has a mass 13.87g and a volume of 31.75cm3?
Answer:
d=0.4368 g/cm³
Explanation:
Density of an object is defined as the ratio of its total mass to the mass volume.
So that it is
d= m/V
d= (13.87g) / (31.75cm³)
d= 0.4368g/cm³
jasmine fell on her arm during a tennis match. when the trainer examines jasmine, she asks jasmine if she can turn her arm in a way that allows her to show the trainer the palm of her hand. what type of motion would this movement most accurately demonstrate?
The motion that the movement of jasmines arm accurately demonstrate circular motion.
What is circular motion?A circular motion is a movement or rotation of an object around the circumference of a circle. It can be uniform, with a constant angular rate of rotation and speed, or non-uniform, with a variable rate of rotation.A net inward or "centripetal" force is required for circular motion. In fact, if the forces are balanced, a moving object will continue to move in a straight line at a constant speed.Circular motion can be classified as either uniform or non-uniform. In uniform circular motion, the angular rate of rotation and speed are constant, whereas in non-uniform motion, the rate of rotation changes. During circular motion, the velocity vector changes direction at each point on the curve.To learn more about circular motion refer to :
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Msx1 is a regulator of bone formation during development and postnatal growth: in vivo investigations in a transgenic mouse model
The in vivo investigations using a transgenic mouse model have provided important evidence that supports the role of Msx1 as a regulator of bone formation. These findings contribute to our understanding of how bones develop and grow, which has implications for both developmental biology and potential therapeutic interventions for bone-related conditions.
Msx1 is a regulator of bone formation during development and postnatal growth. This means that it plays a role in controlling the process of bone formation, both during the early stages of development and in the growth that occurs after birth.
In vivo investigations, which involve studying the effects of a particular factor in a living organism, have been conducted using a transgenic mouse model. Transgenic mice are mice that have been genetically modified to have specific genes or traits.
These investigations have provided valuable insights into the function of Msx1 in bone formation. They have shown that when Msx1 is present, it acts as a regulator, controlling the process of bone formation. This means that it helps to ensure that bones develop and grow properly.
One example of how Msx1 functions as a regulator is during the early stages of bone development. It helps to determine the shape and structure of the bones, ensuring that they form correctly.
Another example is in postnatal growth, where Msx1 helps to regulate the growth of bones as the organism continues to develop. It ensures that bones grow at the right rate and in the right direction.
Overall, the in vivo investigations using a transgenic mouse model have provided important evidence that supports the role of Msx1 as a regulator of bone formation. These findings contribute to our understanding of how bones develop and grow, which has implications for both developmental biology and potential therapeutic interventions for bone-related conditions.
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Find the tension in the two ropes that are holding the 2.9 kg object in place. Rope 1 makes an angle of 51.3° with respect to the vertical. Rope 2 is pulling horizontally.
Answer:
Explanation:
Let the tension in horizontal rope be T₁ and in the other rope be T₂ which is making angle of 51.3⁰
The vertical component of tension T₂ will balance the weight .
= T₂ cos 51.3 = 2.9 x 9.8
T₂ = 2.9 x 9.8 / cos 51.3
= 28.42 / .625
= 45.47 N
The horizontal component of T₂ will balance T₁
T₂ sin 51.3 = T₁
45.47 sin 51.3 = T₁
T₁ = 35.48 N .
The best evidence for dark matter in the milky way comes from the observation that the rotation curve
in a single-slit diffraction experiment, a beam of monochromatic light of wavelength 573 nm is incident on a slit of width of 0.312 mm. if the distance between the slit and the screen is 2.30 m, what is the distance between the central axis and the first dark fringe (in mm)?
The distance between the central axis and the first dark fringe in the given single-slit diffraction experiment is approximately 4221.75 mm.
The distance between the central axis and the first dark fringe in a single-slit diffraction experiment can be determined using the formula:
y = (λL) / w
where:
y is the distance between the central axis and the first dark fringe,
λ is the wavelength of light,
L is the distance between the slit and the screen,
and w is the width of the slit.
λ = 573 nm
λ= 573 × 10⁻³m
w = 0.312 mm
w = 0.312 × 10⁻³ m
L = 2.30 m
Now, let's calculate the distance between the central axis and the first dark fringe (y):
y = (λL) / w
y = (573 × 10⁻⁹ m) × (2.30 m) / (0.312 × 10⁻³ m)
y = 4.22175 m
We need to convert this result to millimeters (mm) since the question asks for the answer in that unit:
y = 4.22175 m × 1000 mm/m
y ≈ 4221.75 mm
Therefore, the distance between the central axis and the first dark fringe is approximately 4221.75 mm.
In conclusion, the distance between the central axis and the first dark fringe in the given single-slit diffraction experiment is approximately 4221.75 mm.
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Which ballet move is most similar to a track runner jumping over hurdles?
a Balancing on one leg
b Complex footwork patterns
c Straight leg dance kick
d Split leap
A canister and the hydrogen gas it contains are at 100°C. The canister is placed in a vacuum, and the temperature of the canister and gas begins to decrease. Which of the following statements of reasoning best explains how the canister-gas system loses energy?
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
High-energy hydrogen molecules collide with lower-energy molecules and the walls inside the canister, losing energy during the collisions.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
The molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister as infrared radiation that can travel through the vacuum, causing a decrease in the average energy of the canister and the molecules.
Energy is released from the canister and travels through the vacuum by convection, causing a decrease in the average energy of the canister and the molecules.
The statement that best explains why the system looses energy is; the Collison of the molecules of hydrogen with the wall of the can carries off energy to the environment.
How does the cannister loose energy?We know that energy is defined as the rate of doing work. Now the temperature of a gas is measure of the kinetic energy of the molecules of the body. In this case, the temperature of the hydrogen in the cannister has to do with how fast the molecules of the hydrogen are moving.
The higher the temperature, the faster the molecules of the hydrogen move. The lower the temperature, the slower the molecules of the hydrogen moves.
As such, the molecules collide with the walls of the canister, causing the canister molecules to vibrate and carry energy from the canister to the canister’s surroundings.
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g a glob of slime is launched or dropped from the edge of a cliff. which of the graphs in fig. 7-22 could possibly show how the kinetic energy of the glob changes during its flight?
The glob would have kinetic energy as it is falling modelled by graph f.
What is kinetic energy?We know that the kinetic energy has to do with the energy that is possessed by a body by virtue of the fact that the body is in motion. We know that kinetic energy is one of the forms of mechanical energy. The term mechanical energy has to do with energy that is at rest or in motion. The energy that is at rest is called the potential energy.
We have been told in the question that a glob of slime is launched or dropped from the edge of a cliff. We have to note that the kinetic energy of the object is going to increase as it is falling to the ground. It then follows that the glob would have its maximum kinetic energy when the glob must have fallen to the ground.
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A 2 kg box slides down a frictionless ramp starting
from a height of 3 m. The slope of the ramp is 30°,
What is the box's momentum when it reaches the
bottom of the ramp?
Answers:
A) 15.3 kg•m/s down the ramp
B) 7.7 kg.m/s down the ramp
C) 5.5 kg•m/s down the ramp
D) 2.8 kg•m/s down the ramp
The box's momentum when it reaches the bottom of the ramp is 2.8 kg•m/s down the ramp.
What is the velocity of the box when it reaches the bottom?When the box reaches the bottom of the slope, its speed is v = (nh) n has a value. The block has gravitational potential energy when it briefly comes to rest at the top of the ramp and starts with kinetic energy at the bottom. However, some of that energy is lost due to frictional effort. You can use a free body diagram and Newton's second law to calculate the frictional force on the block. What will happen if you roll two cylinders of the same mass and diameter—one solid and one hollow—down a ramp is how this traditional physics textbook version of the problem is phrased. The solid one will eventually sink, is the solution.To learn more about velocity of the box refer to:
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Are these statements about the Fluid mechanics true?
Statement 1: Fluid mechanics is a branch in chemistry that involves study of fluids.
Statement 2: Fluid mechanics can be divided into 2 major categories.
a) True, False
b) True, True
c) False, True
d) False, False
Announcement 1: Fluid mechanics is a branch of chemistry that involves having a look at fluids: c) False, True
Fluid mechanics is the branch of physics concerned with the mechanics of fluids and the forces on them. It has programs in an extensive variety of disciplines, such as mechanical, aerospace, civil, chemical, and biomedical engineering, geophysics, oceanography, meteorology, astrophysics, and biology. Fluid mechanics is the look at of the forces of the fluid and the way fluids flow. Fluid mechanics may be divided into parts: fluid statics and fluid dynamics. Fluid statics is the observation of fluids at rest, and fluid dynamics is the study of fluids in motion.
Fluid mechanics is the look at fluid behavior (beverages, gases, blood, and plasmas) at relaxation and in movement. Fluid mechanics has a huge variety of packages in mechanical and chemical engineering, organic structures, and in astrophysics.
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1. A 500.0 g metal block absorbs 5.875 × 103 J of heat to raise its temperature by 50.0 K. What is the substance? Show your work.
Specific Heats of Selected Substances
Substance
C [J/(kg·K)]
Water (ice)
2,060
Iron
450
Aluminum
897
Gold
130
Copper
385
Silver
235
Ammonia (liquid)
4,700
Water (liquid)
4,180
Water (steam)
2,020
Lead
128
The name of the substance is silver based on the specific heat capacity value.
What is the specific heat capacity of the substance?The specific heat capacity of the substance is calculated by applying the following formula for heat capacity.
Q = mcΔθ
where;
m is the mass of the substancec is the specific heat capacity of the substanceΔθ is the change in temperaturec = Q / mΔθ
The specific heat capacity of the substance is calculated as;
c = (5875 J ) / ( 500 g x 50 )
c = 0.235 J/kgK
The substance that has the same specific heat capacity calculated above is silver.
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