The average acceleration is -7.09 m/s² and the stopping time is 3.87 sec.
Given,
Final velocity, v = 0
Initial velocity, u = 62 mph
Converting mph to km/h and to m/s, we get
u = 99.2 km/h
Or, u = 27.5 m/s
Displacement, s = 175 feet
Or, s = 53.3 meter
By using the third equation of motion, we get
v² - u² = 2as
0 - (27.5)² = 2 × a × 53.3
Or, acceleration(a) = -7.09 m/s²
Now, by the first equation of motion,
v = u + at
Or, - u = at
-27.5 = -7.09 × t
Or, t = 27.5/7.09
t = 3.87 sec
The stopping time (t) is 3.87 sec
Hence, the average acceleration is -7.09 m/s², and the time is 3.87 sec.
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A piece of cheese is placed on a vertical spring of negligible mass and a force constant k = 2300 N/m that is compressed by a distance of 18.0 cm. How much elastic potential energy is stored in this system? (Answer in J)
Answer:
E = 1/2 K x^2 (1/2 *F * x * x)
E = 2300 / 2 N/m * (.18 m)^2 = 37.3 Joules
The quantity of elastic potential energy that is currently stored in the system is equal to 37.26 Joules (J).
We may use the formula for elastic potential energy to compute the amount of elastic potential energy that is stored in the system, which is as follows:
PE, or Elastic Potential Energy, is 0.5 times k times x squared.
where k represents the constant force that the spring exerts and x represents the amount of compression that the spring experiences.
Given:
The spring has a force constant of 2300 Newton-meters (k).
The spring was compressed (x) by 18.0 centimetres, which is equivalent to 0.18 metres when measured in metres.
To finish, enter the values into the formula as follows:
PE = 0.5 × 2300 N/m × (0.18 m)² PE = 0.5 × 2300 N/m × 0.0324 m² PE = 37.26 J
37.26 Joules (J) is the amount of elastic potential energy that is stored in the system.
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an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2 . how long does it take for the grinding wheel to stop? answer in units of s.
5.45 second it will take for the grinding wheel to stop an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2
ω1 = 2π(103/60) = 10.7 rad/s
ω2 = 0
α = -1.96 rad/s^2
time t = (ω2 - ω1)/α
= 10.7 / 1.96
= 5.45s
θ = ω1t + (1/2)αt^2
= 58.31 - 29.12 = 29.21
Generally speaking, deceleration is a decrease in acceleration. When an object's speed decreases with respect to time, it is said to be decelerating. In contrast to acceleration, deceleration involves a negative rate of change in velocity.
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Which best explains why water boils in a pot sitting over fire? Heat energy is created from the thermal energy in the air. Heat energy is transferred from the water to the fire. Thermal energy from the fire moves to the water in the form of heat. Thermal energy from the surrounding air moves to the water.
Answer:
Because of the heat that contains of the fire anf it make it boil because of the atmosphere that has form
Answer:
C. Thermal energy from the fire moves to the water in the form of heat.
Explanation:
In an experiment to determine the relative density of lead shots, a student obtained the following results a Mass of relative density bottle = 25.8g b Mass of relative density bottle with lead shots only= 69.3g c/Mass of relative density bottle filled with water = 75-8g d Mass of relative density of bottle filled with lead and water =115.1g of of Use the information above to find the density of lead shots given that the density of water = 1.0 g/cm³
The density of the lead will be equal to 11.3 gram per centimeter cube such that the volume of the bottle remains the same in all the cases.
What is density?Density of a material is defined as mass per volume that means how many grams are confined in a certain amount of volume density depending on temperature and changes with temperature.
What is volume?Volume is a measure of occupied three-dimensional space. It is often quantified numerically using SI derived units or by various imperial units. The definition of length is interrelated with volume.
Given:
Mass of relative density bottle = 25.8g.
Mass of relative density bottle with lead shots only = 69.3 u
Mass of relative density bottle filled with water = 75.8g
Mass of relative density of bottle filled with lead and water =115.1g
Using the relationship between mass , density and volume
i.e. mass = density × volume
25.8 = 115.1× volume
volume = 0.27 u
Using the mass density equation for the volume we get,
Volume of the bottle with the lead=69.3/0.27 Volume of the bottle with the lead =260 u
Finally the density of the lead = \(\frac{260 \times 10}{69.3 + 115}\)
Finally the density of the lead = 11.3 u
Therefore, The density of the lead will be equal to 11.3 gram per centimeter cube such that the volume of the bottle remains the same in all the cases.
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One strategy that has been implemented to address the drug epidemic in Philadelphia was the creation of something called
The One strategy implemented to address the drug epidemic in Philadelphia is the creation of Comprehensive User Engagement Sites (CUES). These sites aim to tackle the widespread issue of drug addiction and related energy health concerns.
The CUES are safe spaces where individuals battling addiction can energy access various harm reduction services, such as clean syringes, medical support, and overdose prevention. These sites provide connections to addiction treatment programs and mental health services, helping people on their path to recovery. By offering safe and supervised spaces, CUES work to reduce public drug use, discarded syringes, and other related issues in the community. CUES also serve as educational hubs, raising awareness and providing information about the dangers of drug addiction and available resources for support. Lastly, these sites foster community engagement and collaboration, uniting various stakeholders in the fight against the drug epidemic. In summary, Comprehensive User Engagement Sites play a significant role in addressing the drug epidemic in Philadelphia. They provide harm reduction services, treatment programs, and community support, all while promoting a safer and healthier environment for the city's residents.
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A flywheel turns through 40 rev as it slows from an angular speed of 1.5 rad/s to a stop. (a) Assuming a constant angular acceleration, find the time for it to come to rest. (b) What is its angular acceleration
Answer:
The time of motion is 333.3 s
The angular acceleration is -0.0045 rad/s²
Explanation:
Given;
angular distance of the flywheel, θ = 40 rev
initial angular speed, \(\omega_i\) = 1.5 rad/s
When the wheel comes to rest, the final angular speed, \(\omega_f\) = 0
The angular acceleration is calculated as follows;
\(\omega_f^2 = \omega_i^2 + 2\alpha \theta \\\\0 = (1.5 \ rad/s)^2 + 2\alpha (40 \ rev\times \frac{2\pi \ rad}{1 \ rev} )\\\\0 = 2.25 + 160\pi \alpha\\\\160\pi \alpha = - 2.25\\\\\alpha = -\frac{2.25 }{160\pi} \\\\\alpha = -0.0045 \ rad/s^2\)
The time of motion is calculated as;
\(\omega_f = \omega _i + \alpha t\\\\0 = 1.5 + (-0.0045t)\\\\0 = 1.5 - 0.0045t\\\\0.0045t = 1.5\\\\t = \frac{1.5}{0.0045} = 333.3 \ s\)
popular sovereignty left the fate of slavery up to the people in each territory.
Yes, the concept of popular sovereignty did leave the fate of slavery up to the people in each territory. Popular sovereignty was a principle advocated during the mid-19th century in the United States as a way to determine the status of slavery in newly acquired territories.
Under popular sovereignty, it was believed that the residents of a territory should have the right to decide whether to allow or prohibit slavery within their borders. This principle emerged as a compromise solution to the contentious issue of slavery expansion into new territories during the period leading up to the American Civil War.
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The relationship that exists between gravity and distance and mass respectively.
A. The gravitational force is directly proportional to the distance between objects and inversely
proportional to the mass of the objects.
B. The gravitational force is inversely proportional to the distance between objects and directly
proportional to the mass of the objects.
C. The gravitational force is inversely proportional to the distance between objects and inversely
proportional to the mass of the objects.
D. The gravitational force is directly proportional to the distance between objects and directly
proportional to the mass of the objects.
Answer:
D...............................
Based on Nia's notes, what would be the BEST way to investigate the heat transfer based on the movement of the molecules?
Answer: Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.
Explanation:
Answer:
Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.
Explanation:
Because energy transferred by the mass motion of molecules.
rank the microtidal forces on your own body, from greatest to least, produced by the following: rank from greatest to least. to rank items as equivalent, overlap them. earth sun moon
Tidal forces depends on the masses and distance between the objects which are connected by gravitational force. The microtidal force generated on our body is higher from earth itself then from moon and last from the sun.
What is tidal force?Tidal forces is an effect of gravitational pull or more scientifically the change in gravitational potential energy which creates periodic movements in the sea and changes in water level.
Tidal force are generated on earth by the gravitational pull from sun and moon. This force is cyclical and and repeats in a regular manner. Tide force is directly proportional to mass and inversely proportional to the cube of the distance.
Tidal force ∝ mass / (distance)³
Thus, if the force is solely based on the mass we can clearly say that the tidal force from the sun is greater than that from the moon. But when considering the distance, sun is 390 times farther than moon.
Hence, when taking its cube that much lower will the tidal force from sun compare to moon. Therefore, the microtidal forces that we can affect is greater from the earth itself and then from the moon and last from the sun.
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Let's say that we have a pilot that is dropping a package from a plane that is flying horizontally at a constant speed. If we neglect air resistance when the package hits the ground what would be the horizontal location of the package with respect to the plane?
Answer:
The package will be directly below the location of the plane.
Explanation:
Look up projectile motion for more information. The horizontal speed of the package is separate from the vertical speed of the package. The vertical speed of the falling package will be based on the rate of acceleration and the height of the package when dropped. The horizontal speed of the package will be the same as the plane so the package will remain directly below the plane the entire time until the package hits the ground.
The horizontal location of the package with respect to the plane will be parallel to the plane if no air resistance act on it. The pack will be straight to down because of the gravity.
What is gravitational force?Gravitational force is the force by which an object attracts other objects into its center of mass. Earth attracts every objects in its surface towards its center that's why we are all standing on the ground.
The gravitational force acting on a body is dependent on its mass and height. From an object falling from a height will experience a positive acceleration downwards to the ground.
If any air resistance is present there, the path of motion of the falling object from the height might be changed randomly. Here, the package is falling from plane without any air resistance and it will be straight down to the plane.
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Gravity accelerates any object falling at 9.8 m/s2. What is the force that will be applied to the ground if an 88 kg box falls from the top of a shelf to the ground?
Answer:
The force is of the weight 862,4 Newtons.
Explanation:
We have the formula:
w = m * g
Data:
w = weight = ¿?
m = mass = 88 kg
g = gravity = 9,8 m/s
Replacing according formula:
w = 88 kg * 9,8 m/s
Resolving:
w = 862,4 N
Calculate the period of a pendulum with a length of 7.5 meters. The units are seconds, use up to two decimal places.
The period of a pendulum with a length of 7.5 meters is 6.08 seconds (approx).
The formula represents the period of a pendulum,
T=2π√(L/g) where:
T = Period of the Pendulum
L = Length of the Pendulum
g = Acceleration due to gravity
The given length of the pendulum is L = 7.5 meters.
Substituting the given values in the formula,
T=2π√(L/g)
⇒T=2π√(7.5/g)..........(1)
We know that the acceleration due to gravity g = 9.8 m/s².
Substituting the value of g in equation (1),
T=2π√(7.5/9.8)
⇒T=2π(0.967)
⇒T=6.08 seconds (approx)
Therefore, the period of a pendulum with a length of 7.5 meters is 6.08 seconds (approx).
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If the fluid flowing through a pipeline is lifted through a height of 2.5 m from ground, the potential head at the elevated point is
24.525 J/kg
2.5 m
24525 J
24.525 kJ
If the fluid flowing through a pipeline is lifted through a height of 2.5 m from ground, the potential head at the elevated point is 2.5 m (Option B).
The potential head at a specific point in a fluid flow refers to the energy per unit mass associated with the elevation of the fluid at that point. It represents the potential energy of the fluid due to its position or height relative to a reference level. It is a part of fluid dynamics.
In the given scenario, where the fluid is flowing through a pipeline and is lifted through a height of 2.5 meters from the ground, the potential head at the elevated point would be equal to the height difference.
This means that the fluid at the elevated point has gained potential energy equivalent to the work done in lifting it against gravity. The potential head is a measure of this energy per unit mass.
The potential head is typically expressed in terms of meters or joules per kilogram (J/kg), as it represents the energy per unit mass. In this case, since the fluid is lifted through a height of 2.5 meters, the potential head at the elevated point would be 2.5 m.
Therefore, the correct answer is indeed: 2.5 m.
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Two students are observing a 10 gram object moving around a circle with a radius of 5 centimeters. The constant velocity of the object is measured as 0.75 m/s with a motion detector. Which is the approximate centripetal acceleration of the object?
A. 5 m/s2
B. 11 m/s2
C. 20 m/s2
D. 98 m/s2
Answer:
11m/s²
Explanation:
Given parameters:
Mass of object = 10g = 0.01kg
Radius = 5cm = 0.05m
V = 0.75m/s
Unknown:
Centripetal acceleration = ?
Solution:
Centripetal acceleration is the acceleration of a body in circular path. It can be derived using;
a = \(\frac{v^{2} }{r}\)
v is the velocity
r is the radius
Now, insert the parameters;
a = \(\frac{0.75^{2} }{0.05}\) = 11.25m/s²
When the south poles of two bar magnets are brought close together,
there will be: *
a) a force of attraction.
b) a force of repulsion.
c) an upward force.
d) no forces
there will be
a)Aforce of attraction
Find the x- and y- components of a 20 N, 30o south of west vector.
Answer:
Explanation:
If a force of 20N is situated at 30° south west, the x and y component of the vector will be expressed as:
Fx = -Fcos 30° and Fy = -Fsin30°
They are but negative because the force acts in the third quadrant of a four cardinal point
Fx = -20cos30°
Fx = -20(√3/2)
Fx = -10√3N
Hence the -x component if the force is -10√3N
Fy = -20sin30°
Fy = -20(1/2)
Fy = -10N
Hence the y-component is the vector is -10N
An airplane flies with a constant speed of 800 km/h. How long will it take to travel a distance of 1300 kilometers?
Answer:
an hour and 30 minutes i believe.
Explanation:
Answer:
a hours and 30 mins
Explanation:
In which part of the ear is the wave motion of the Basilar membrane converted into electrical pulses?
A. the helicotrema.
B. the oval window.
C. the organ of Corti.
D. the incus.
If a Ferrari, with an initial velocity of 10 m/s, accelerates at a rate of 50 m/s2 for 3
seconds, what will its final velocity be?
Answer:
we know that
a (acceleration)= {v (final velocity)-u (initial velocity) } / t (time)
so if we have to find v, so it will be:
at/u=v
so 50 * 10= 500
divided by 3s
so the answer is 166.67 m/s.
Two identical resistors are connected in parallel across a 26-V battery, which supplies them with a total power of 7.1 W. While the battery is still connected, one of the resistors is heated so that its resistance doubles. The resistance of the other resistor remains unchanged. Find (a) the initial resistance of each resistor, and (b) the total power delivered to the resistors after one resistor has been heated.
Answer:
A) R = 190.42 Ω
B) P = 5.325 W
Explanation:
We are given;
Total power;P_tot = 7.1 W
Voltage;V = 26 V
A)We are told that while the battery is still connected, one of the resistors is heated, so that its resistance doubles.
Thus, the power is doubled.
Now, formula for power is;
P = IV
Thus, since power is doubled, we have;
P = 2(IV)
Now, formula for current is; I = V/R
So, P = 2V²/R
Making R the subject, we have;
R = 2V²/P
In this question, P is p_total = 7.1 W
Thus;
R = (2 × 26²)/7.1
R = 190.42 Ω
B) Now, the resistance of the resistors are R and 2R.
Formula for power in this context is;
P = V²/R
Thus,
Total power delivered to the resistors is;
P = V²/R + V²/2R
P = 3V²/2R
P = (3 × 26²)/(2 × 190.42)
P = 5.325 W
How long would the day have to be in order that for a person standing at the equator of the earth would see a bathroom scale that she is standing on read zero?
This suggests a 17 times faster linear velocity at the equator for constant. the day would consist of 85 minutes or 1.41 hours. Yet, such a spinning speed would be more than the Earth's maximum tensile strength.
In light of the Earth's rotation, what is the speed of a person standing on the equator?The Earth's circumference is 40,070 kilometers, and since there are 24 hours in a day, the speed at the equator is 1670 km/h (1037 mph). At a latitude of 45 degrees, this drops by the cosine of your latitude, so cos(45) =
What would a person standing on the equator be traveling at, and how much would they be accelerating?According to our calculations, we are equal to 463.97 mita per second. Thus this is the speed of a person standing at the earth's equator, and this speed is caused by the earth's rotation.
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A coil of wire with a current is called a(n)
a.
insulator.
b.
solenoid.
c.
electromagnet.
d.
galvanometer.
Answer:
Hello There!!
Explanation:
The answer is b. solenoid.
1. During a soccer match, a player tries to kick a goal. The ball hits the left- hand goal post instead of going into the net. This happens three times during the match the same player kicks the ball into the left-hand goal post. a) State whether this soccer player is an accurate player, a precise player or neither of the two. Explain your previous answer. b) 2. The following diagrams show two measurements taken by Vernier callipers. The one is the outside diameter of a hollow copper pipe. The other is the inside diameter of the same pipe. مسلسل سلس البلاست Outside measurement he Inside measurement (2
Answer: A goal kick is a “direct” kick in soccer, which means any player can score a goal directly from that kick. Although it is rare to see a player score directly from a goal kick, occasionally, it does happen.
Explanation:
How does air flow in a high-pressure system?
Answer:
Winds blow away from high pressure. Swirling in the opposite direction from a low pressure system, the winds of a high pressure system rotate clockwise north of the equator and counterclockwise south of the equator. This is called anticyclonic flow.
Explanation:
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A proton of energy 900gev collides with a stationary proton. Find the available energy ea. The rest energy of the proton is 938mev
The total energy available during the collision of the two protons is determined as 900,938 MeV.
Total energy available during the collision
Based on the principle of conservation of energy, the total energy of the two protons during the collision will be conserved.
Available energy = Er + K
Where;
Er is the rest energyK is the kinetic energyAvailable energy = 938 MeV + 900 GeV
Available energy = 938 Mev + 900 x 10³ MeV
Available energy = 938 MeV + 900,000 MeV
Available energy = 900,938 MeV
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what is average velocity of an object
if you were floating in the solar system at equal distances between mars (small mass) and jupiter (large mass) which planet would you be gravitational pulls to? Why
If you are floating in the solar system at equal distances between Mars which has a small and Jupiter which has a larger mass than Jupiter, the planet has the largest gravitational pull. So the planet which has a larger mass will have a more gravitational pull.
What is a Solar system?The gravitationally bound system known as the Solar System is made up of the Sun and the asteroids that orbit it. It formed 4.6 billion years ago when a large interstellar molecular cloud gravitationally collapsed. Jupiter holds the lion's share of the system's remaining mass, with the Sun owning the vast majority of it.
Because Jupiter is the largest planet in our solar system, it has the strongest gravity. On Jupiter, you would weigh 2.5 times more than you would on Earth. Everything is drawn to the surface of the planet by the fundamental force of gravity.
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what is the balance equation for the chemical equation h2o+so2=h2o+s
Answer:
2H₂S + SO₂ —> 2H₂O + 3S
Explanation:
From the question given above, the following equation were obtained:
H₂S + SO₂ —> H₂O + S
The equation can be balance as illustrated below:
H₂S + SO₂ —> H₂O + S
There are 2 atoms of O on the left side and 1 atom on the right side it can be balance by writing 2 before H₂O as shown below:
H₂S + SO₂ —> 2H₂O + S
There are 2 atoms of H on the left side and 4 atoms on the right side. It can be balance by writing 2 before H₂S as shown below:
2H₂S + SO₂ —> 2H₂O + S
There are 3 atoms of S on the left side and 1 atom on the right side. It can be balance by writing 3 before S as shown below:
2H₂S + SO₂ —> 2H₂O + 3S
Now, the equation is balanced.!
An arrow is fired at 5.20 m s−1 at an angle of 22.0° above the horizontal. Find the horizontal component of the initial velocity, expressing your answer in m s−1 to 2d.P.\
Answer:
\(4.82ms^{-1}\)
Explanation:
We are given that
Initial velocity, u=5.20m/s
\(\theta=22^{\circ}\)
We have to find the horizontal component of the initial velocity.
We know that
Horizontal component of velocity=\(ucos\theta\)
Using the formula
Horizontal component of the initial velocity=\(5.2cos22^{\circ}\)
Horizontal component of the initial velocity=\(5.2\times 0.9272\)
Horizontal component of the initial velocity=\(4.82ms^{-1}\)
Hence, the horizontal component of the initial velocity=\(4.82ms^{-1}\)