Answer:
Explanation:Potential Energy is the stored energy of an object given its position relative to a body. Gravitational potential energy is one type of potential energy and is equal to the product of the object's mass (m), the acceleration caused by gravity (g), and the object's height (h) as distance from the surface of the ground (the body).
mass m of 3 kilograms falling at gravity g of 9.81 meter per second squared from a height h of 5 meters. Solve for potential energy Pe with the equation PE equals m times g times h
In this example, a 3 kilogram mass, at a height of 5 meters, while acted on by Earth's gravity would have 147.15 Joules of potential energy, PE = 3kg * 9.81 m/s2 * 5m = 147.15 J.
9.81 meters per second squared (or more accurately 9.80665 m/s2) is widely accepted among scientists as a working average value for Earth's gravitational pull. This figure is based on a measure of gravity at sea level at a latitude of 45°.
At higher altitudes, gravity decreases slightly.
The effect of latitude on gravitational force is relevant as gravity increases with increasing distance from the Equator. At the Equator, the Earth's gravity is 9.780 m/s2 and at the poles it is 9.832 m/s2 (source: CRC Handbook of Chemistry and Physics).
Gravitational acceleration (to three significant figures) for other planets and bodies in the solar system is as follows:
m/s2 gn*
Sun 274 27.9
Mercury 3.70 0.38
Venus 8.87 0.90
Earth 9.81 1.00
Moon 1.62 0.17
Mars 3.71 0.38
Jupiter 24.9 2.54
Saturn 10.44 1.06
Uranus 8.87 0.90
Neptune 11.15 1.14
Pluto 0.58 0.06
(table source: NASA)
*Standard gravity (gn). 1.00gn is equal to 9.80665 m/s2
When you travel in an elevator (which moves linearly in space), the ___________ detect when the elevator is accelerating or decelerating.
We can confirm that when you travel in an elevator, the utricle and saccule detect when the elevator is moving.
What are the utricle and saccule?These are small organs located in the inner ear. They serve a very important function in our everyday life. These otolith organs are responsible for the detection of movement and provide us with a sense of spatial orientation. They accomplish this by stimulating very small, hair-like cells with a specialized fluid.
Therefore, we can confirm that when you travel in an elevator, the utricle and saccule detect when the elevator is accelerating or decelerating.
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A nonsinusoidal electromagnetic wave like that described in Section 32.2 has uniform electric and magnetic fields. The magnitude of the Poynting vector for this wave is 11.0 W/m2. Find the magnitude of the electric field.
The magnitude of the electric field will be 64.38 V/m. Mathematically, the electric field is found as the ratio of the voltage per unit length.
What is electric field?A physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the field, either attracting or repelling them, is referred to as an electric field.
The magnitude of the electric field in terms of the pointing vector for this wave is found as;
[tex]\rm E_{MAX} = \sqrt{S \times c \times \mu_0 }[/tex]
Where,
E is the electric field
c is the speed of light
[tex]\mu_0[/tex] is the permeability
On Putting the given data ;
[tex]\rm E_{MAX} = \sqrt{11.0 \times 3 \times 10^8 \times 4 \times \pi \times 10^{-7}} \\\\\ \rm E_{MAX} =\sqrt{4144.8} \\\\ E_{MAX} =64.38 \ V/m[/tex]
Hence, the magnitude of the electric field will be 64.38 V/m.
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13. A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. What force constant is needed to produce a period of 0.500 s for a 0.0150-kg mass?
The answer is 2.37N/m but please show your work.
The force constant that is needed to produce a period of 0.500 s for a 0.0150-kg mass is 2.37 N/m
Data obtained from the questionPeriod (T) = 0.5 s
Mass (m) = 0.015 Kg
Pi (π) = 3.14
Spring constant (K) =?
How to determine the spring constantThe spring constant can be obtained by using the formula for calculating the period of simple harmonic motion. This is illustrated below
T = 2π√(m /K)
Square both side
T² = 4π²m / K
Cross multiply
T² × K = 4π²m
Divide both side by T²
K = 4π²m / T
K = (4 × 3.14² × 0.015) / 0.5²
K = 2.37 N/m
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A 89.1 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large peice of chocolate cake rated at 815 (food) calories. How high must the person climb? The acceleration due to gravity is 9.8m/s^2 and 1 food calorie is 10^3 calories. Answer in units of km
Answer:
3904 Meters
Explanation:
F = ma
work = F * d
89.1 (9.8)* d = 815000/.23906 conversion factor 1 j = .23906 cal
d = 3904 meters
If a cannonball is fired horizontally it will not go in a straight line why?
Explanation:
A projectile (Cannon ball) is launched at an angle to the horizontal and rises up to a peak while moving horizontally. When it reaches the peak, the projectile starts to fall.
A massless rod is balanced on a pivot as shown below. If the rod is in static equilibrium, what
magnitude of force (x) must be exerted on the other end of the rod?
A. 7.5 N
B. 13 N
C. 20 N
D. 53 N
E. 80 N
Answer:
torques must balance for equilibrium
counterclockwise = clockwise
1.5 X = 4 * 20
x = 80 N-m / 1.5 m = 53 N
(D) is correct
Why is data sent digitally from space probes instead of using an analog device?
1. A particular solid material is heated but its temperature does not rise.
11
a) What is happening to the solid?
b) Where does the energy go that is being supplied to it?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here's the answer ~
1. The energy that has been given to the solid material is being used to change its phase from solid to liquid.
2. This all energy is converted into latent heat of fusion causing change in state. so there's no increase in temperature.
Answer →
a) The phase of solid material is changing due to Absorption of heat.
b) The energy that is being supplied to it is absorbed by the material to break the intermolecular bonds.
Explanation:
Heat is a mod of transfer of energy, and solid is a giant network of atom or ions closely bounded with high inter molecular forces. When the bonds are formed lead to release in energy hence to break the bond you need to supply energy and that energy supplier is heat. Generally there are two types of heat, one that you sense as rising temperature and another where you see a gradually change in the phase of material. When the heat that you supply is being absorbed that means the energy is being consumed(absorbed) by the material, to break the bonds, and you doesn't sense the temperature of material being raised but the change in state of material from solid→Liquid, solid→gas depends on the type compound, the phase of material changes, same thing happens in reverse case from Gas→Liquid, Liquid→Solid, the energy is released in atmosphere. this absorbed or released energy(heat) is Latent heat.
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What is the best description of a wave? a pulse that carries energy a disturbance that moves matter a medium disturbed by a vibration matter that is moved from one place to another
Wave is best described as a pulse that carries energy and is denoted as option A in this context.
What is a Wave?This is a disturbance which carries energy from one place to another without the movement of the matter.
Since matter isn't moved then it is best described as a pulse which carries energy from one place to another.
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Answer:A
Explanation:
What is the electric force between two charges? Charge one has a charge of 7 C and charge two has a charge of 5 C. The charges are 5,925 m apart. Round your answer to the fourth decimal place.
Answer:
See below
Explanation:
Coulomb's Law Force = k q1 q2 / r^2
k = Coulomb's constant = 8.9875517 x 10^9 kg m^3 /s^2 C^2
Force = 8.9875517 x 10^9 * 7 * 5 / (5925^2) = 8960.5102 N
A person driving in a neighborhood traveling 9 m/s slows to a stop (0 m/s) over 4 seconds as they approach a stop sign. What is the rate of acceleration of the car coming to a stop in m/s2?
Answer:
-2.25
Explanation:
v=u+at
0=9+a(4)
9+4a=0
4a=-9
a= -2.25
the rate of acceleration of the car coming to a stop is 2.25 m/s².
What is Speed?speed is described as. the pace at which an object's location changes in any direction. Speed is defined as the distance traveled divided by the travel time. Speed is a scalar quantity because it just has a direction and no magnitude.
given, A person driving in a neighborhood traveling 9 m/s slows to a stop (0 m/s) over 4 seconds as they approach a stop sign.
The acceleration of the car can be calculated using the formula:
acceleration = (final velocity - initial velocity) / time
Here, the initial velocity is 9 m/s (the speed at which the car was traveling before braking),
the final velocity is 0 m/s (the speed at which the car comes to a stop), and the time taken to stop is 4 seconds. Substituting these values into the formula,
we get:
acceleration = (0 m/s - 9 m/s) / 4 s
acceleration = -9 m/s / 4 s
acceleration = -2.25 m/s²
The negative sign indicates that the car is decelerating, or slowing down.
Therefore, the rate of acceleration of the car coming to a stop is 2.25 m/s².
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4. If everything lines up perfectly for superposition to occur, these massive waves would break with a force of 100
metric tons per m². She compares this to how much force standing on a car?
If everything lies perfectly for superposition to occur, the force on a car is 1000 N.
What is superposition?Superposition is the phenomenon of placing one wave over the other so that they coincide. The resultant force will be zero.
The force in kg will be
1mteric ton = 1000 kg
1metric ton per m²= 1000 N
1000 N force is applied to a car, which will be equal and opposite to the massive wave.
The equal force will act on a car equal to 1000 N.
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Which of the following is an example if an unbalanced force
A. a computer on a table
B. a man leaning against a wall
C. a girl severing a volleyball
D. fruit in a ball
Answer:
C
Explanation:
I would have to say C because the girl is constantly moving in the act of serving the volleyball.
A drill bit in a hand drill is turning at 1200 revolutions per minute (1200 rpm). Express this angular speed in radians per second (rad/s).
Answer:
the answer will be about 126 rad/s
Explanation:
A disk whose rotational inertia is 450 kg.m2 hangs from a wire whose torsion constant is 2300 N.m/rad. When its angular displacement is -0.23 rad, what is its angular acceleration
For a disk whose rotational inertia is 450 kg.m2 hangs from a wire whose torsion constant is 2300 N.m/rad, the angular acceleration is mathematically given as
a = 1.176 rad/s^2
What is its angular acceleration?
Generally, the equation for the angular acceleration is mathematically given as
a = torsion constant x theta/inertia
therefore,
a = 2300 x 0.23/450
a = 1.176 rad/s^2
In conclusion, the angular acceleration is
a = 1.176 rad/s^2
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is water a pollutant?
Please help
A 73.9 kg weight-watcher wishes to climb a
mountain to work off the equivalent of a large
piece of chocolate cake rated at 991 (food)
Calories.
How high must the person climb? The
acceleration due to gravity is 9.8 m/s2 and 1
food Calorie is 103 calories.
Answer in units of km.
The height to which the weight-watcher must climb to work off the equivalent 991 (food) Calories is 0.59 Km
How to determine the energy.1 food calorie = 103 calories
Therefore,
991 food calories = 991 × 103
991 food calories = 102073 calories
Multiply by 4.2 to express in joule (J)
991 food calories = 102073 × 4.2
991 food calories = 428706.6 J
How to determine the height Energy (E) = 428706.6 JMass (m) = 73.9 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) =?E = mgh
Divide both side by mg
h = E / mg
h = 428706.6 / (73.9 × 9.8)
h = 591.95 m
Divide by 1000 to express in km
h = 591.95 / 1000
h = 0.59 Km
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Giving Brainliest to The First Correct Answer
A car, with a mass of 1225 kg, traveling at 75 m/s slows to a stop in 5.3min. What is the size and direction of the force that topped the car? What provided the force?
Answer:
[tex]F_{k} = 9854N[/tex] Opposite to the motion of the car.
Explanation:
Please find the detailed solution below
One positve and one negative charhe jave a force of -5. 00 N between them. If the force changed to -170 N , by what factor did the distance between them change
Answer:
The distance is shortenend by factor .1715
Explanation:
5 n = 1/r^2
sqrt (1/5) = r
170 n = 1 / ( x sqrt(1/5))^2
(xsqrt 1/5)^2 = 1/170
x sqrt 1/5 = .076696
x = .1715
How much w work is done by a babysitter who uses 4500 w of power to lift a baby in 4s
Serious answers please
Hello people ~
A bird sitting on a high power line:
(a) gets killed instantly
(b) gets a mild shock
(c) gets a fatal shock
(d) is not affected practically
Answer:
(d) is not affected practically
Explanation:
A bird sitting on a high power line is not affected practically.
This is because both of its legs are at the same potential, and current cannot flow through its body.
Answer:
option D
Explanation:
The bird sitting on a high power line but the bird is not touching ground by its body parts .
Hence there is no way electricity can pass through its body to earth
Thus it won't get any shock .
A variable resistor has a voltage of 12.0 V placed across it. If the resistance is increased 20%, what happens to the current flowing through it
Answer:
Explanation:
Remark
The answer is in the formula
E = I * R
E = the voltageI = the CurrentR = the ResistanceSolution
Let the resistance = R
I = 12/R
If we increase the resistance by 20% then we get
R1 = R + (20/100) * R
R1 = R + 1/5 * R
R1 = 6 R/5
What happens to I when you do this
I = 12/(6/5 R) Effectively you need to treat 6/5 as a reciprocal
I = 12 * 5/6 * R
I = 10 / R
What does this tell you? Since the Resistance has a base value of R, when increased by 20%, the numerator of the fraction is reduced to 10 from 12. In other words the current is now smaller when R goes up.
Marley stayed up late to watch the planet Mars rise in the east. She had read online that Mars was unusually close to the Earth in its orbit and would look nearly as large as the moon. However, she only saw stars, and the next morning she ended up oversleeping because of her late bedtime. Marley was the victim of
Marley was the victim of a hoax. The synonym of the hoax is a practical joke, joke, jest, prank, trick, jape, and fraud.
What is the meaning of a hoax?To dupe someone into believing or accepting something untrue and frequently absurd as genuine.
A practical joke, joke, jest, prank, trick, jape, and scam are all synonyms for a hoax.
Marley stayed up late to watch the planet Mars rise in the east. She had read online that Mars was unusually close to the Earth in its orbit and would look nearly as large as the moon.
However, she only saw stars, and the next morning she ended up oversleeping because of her late bedtime. Marley was the victim of a hoax.
Hence a hoax is a correct answer.
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Which statement is true about gravitational forces?
Answer:
C: Every mass exerts a gravitational force on every other mass
This statement is true
An athlete gains 300J of KE when running at 3m/s. Find the mass of the athlete.
A ball of mass 0.5 kg starts rolling on the ground with a speed of 5 m/s. When the ball starts moving, the momentum of the ball is:
Answer:
2.5 kg - m/s
Explanation:
Momentum = m * v = .5 * 5 = 2.5 kg-m/s
A car of mass of 1200 kg is driven around a corner of a radius of 45m at 15 ms-1
.
(a) Calculate the acceleration of the car.
(b) Calculate the centripetal force acting on the car.
(c) Explain how the centripetal force is being produced.
Explanation:
w = v/r
= 15/ 45 = 1/3 rads-¹
a = w²r
= 1/9 • 45 = 5 ms-²
F = mv²/r
= 1200• 15• 15/45
= 6000N
The car, when rounding the curve, is pulled towards the center by the friction between it's wheels and the road.
Peristalsis is the action caused by contractions of muscles in this structure in the digestive system...
Group of answer choices
liver
pancreas
esophagus
trachea
Answer:
I believe the answer is esophagus
Two bodies of mass m1 and m2 are let fall freely from heights h1 and h2 respectively. The ratio of time taken by the bodies to fall through these heights is :
Answer:
√h₁/h₂
Explanation:
In free fall, the square of the time taken by the body is directly proportional to the height from which it is dropped.
t₁² ∝ h₁t₂² ∝ h₂Ratio
t₁²/t₂² = h₁/h₂t₁/t₂ = √h₁/h₂According to second equation of kinematics for free fall
h=-1/2gt²So
[tex]\\ \rm\Rightarrow h\propto t^2[/tex]
[tex]\\ \rm\Rightarrow h_1:h_2::t_1^2:t_2^2[/tex]
[tex]\\ \rm\Rightarrow t_1:t_2::\sqrt{h_1}:\sqrt{h_2}[/tex]
Pls answer asap!! I need help on this question!
Hubble space telescope, Hubble deep field guide, moon, mercury, Saturn, sun, galaxy messier 101
Answer:
1-Hubble Deep Field Galaxy
2-Galaxy Messier 101
3-Sun
4-Saturn
5-Mercury
6-Moon
7-Hubble Space Telescope