Yes, if a galvanized hot water pipe is rusted on the outside, does that mean it is ready to spring a leak as Leaks will eventually occur if your pipes develop corrosion or rust on their exterior portion (often near the joints).
What do you understand by the terms galvanized ?Applying a protective zinc coating to steel or iron to stop rusting is termed to as galvanization or galvanizing. The most used technique is hot-dip galvanizing, which generally involves immersing the components in a bath of hot, molten zinc. after galvanization the term used is refers as galvanized
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Use your cause-and-effect analysis and your Biodome Model to make a recommendation to the Econauts about how their plans for the next biodome should be different. Be sure to fully explain your recommendation so it is easy for the Econauts to understand how these new ideas will improve their next biodome. Use the Word Bank to help you write. Words: abiotic matter biotic matter carbon carbon dioxide cellular respiration consumer decomposer ecosystem energy storage molecule photosynthesis producer system. Explain to the Econauts how their plans for the next biodome should be different.
The Econauts biodome should consider if their plans for the bio-dome include the basic element and change the plans if required.
What is a biodome?A biodome is a contained space designed to mimic the environmental conditions of a particular natural ecosystem. These buildings are designed to establish closed ecological systems. The fundamental components are suitable abiotic materials like soil, rocks, water, etc. species that are interconnected and work as a unit to create a healthy environment. The Eden Project, which was constructed in 2001 in the United Kingdom and is home to the biggest biodome greenhouse in the world, is a fantastic example of a biodome. Its geodesics replicate three distinct biomass with the region's characteristic tropical, Mediterranean, and temperate climates.
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an undersea research chamber is spherical with a diameter of what is the bouyant force on the chamber
Buoyant force is an upward force that the fluid experts on an a chamber which spherical and has an external diameter.
what is the bouyant force on the chamber?
The buoyancy force equals the weight of the seawater displaced and that's gonna be the density of seawater multiplied by its volume which is the volume of the sphere times g and that's gonna be density of seawater times four-third's πr cubed— that's the volume of a sphere.buoyant force is the upward force a fluid exerts on an object. Archimedes' Principle is the fact that buoyant force is equal to the weight of the displaced fluid.The upward force exerted by a liquid on an object immersed in it is known as buoyancy. When you try to immerse an object in water, then you can feel an upward force exerted on the object, which increases as you push the object deeper into the water.To learn more about spherical force refers to:
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What is a screw? A. an inclined plane wrapped around a post B. a flat surface that slopes C. a bar that pivots around a fulcrum D. two inclined planes back to back
Answer: D. two inclined planes back to back.
Explanation:
A screw is a type of fastener, typically made of metal and used to hold objects together by turning it, which causes it to thread into the material it is being screwed into. The inclined planes, also called threads, are wrapped around a cylindrical rod, called a shank. As the screw is turned, the threads engage with the material and the screw moves forward, pulling the two pieces of material together and creating a clamping force.
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generates a large volume of solid radioactive waste
Fission generates a sizable amount of solid radioactive waste.
What leads to the production of a lot of solid radioactive waste?
High level waste (HLW) is created when uranium fuel is burned in a nuclear reactor. HLW contains the transuranic elements and fission products created in the reactor core. High level waste makes up just 3% of the total volume of produced waste, but it is 95% radioactive.The solution is released into the ocean, where radioactivity is diluted, after caesium and strontium, which make up the majority of its radioactivity, are removed using an ion exchange resin. Or, it could be stored in steel-and-concrete-walled vaults.To know more about radioactive waste visit:
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in each of the scenarios, two spheres of the same size and shape hang from a common attachment point. each sphere is electrically charged and is either perfectly conductive or perfectly insulating, as indicated in the key. the magnitude of charge q is greater than the magnitude of charge q . each pair of spheres is allowed to swing freely and comes to rest in some equilibrium position. in each scenario, determine whether the spheres come to rest in contact, or separated by some distance. assume that the weight of the spheres is small enough that electrostatic forces are significant.
The spheres come to rest in contact, or separated by some distance. The weight of the spheres is small enough that electrostatic forces are significant.
Non-contact forces, such as electrostatic forces, pull or push on objects without actually making contact with them. When certain materials are rubbed together, a phenomenon known as "charge" can be transferred from one surface to another. Uncharged items are pulled by charged objects, which in turn may push or pull against other charged ones.
The electrostatic force of repulsion is the electrostatic force that exists between two similar charges. Two charges are drawn to one another when two opposing charges are brought together. The electrostatic force of repulsion is then the term used to describe the electrostatic force acting between two opposing charges.
Spheres come to rest in contact:
charges -q and +q charges -q and +q charges +Q and -q-Q, orange, chargef +qSpheres come to rest separated
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A load of laundry consisting of cotton socks is placed in the dryer. an acrylic sock was accidently left in the dryer from the previous load. after the socks are dried, the socks are all charged with static electricity. what method of charging happened in the dryer.
a. induction
b. friction
c. polarization
d. conduction
Conduction method of charging happened in the dryer as, the socks are all charged with static electricity.
What is static conduction ? Charging through conduction is the direct transmission of electrons from one object to another. (Like when you rub your feet on the carpet, but the charges go to your hands).Static Electricity Illustrations, Shocks caused by commonplace things, Lightning, A charged balloon that has become stuck to a wall, Picking up little scraps of paper with a charged comb.The force that acts on an object while it is not moving is known as static force. When you move an object that is at rest, it does not move because it is restrained by a static force that occurs when opposing forces cancel each other out.For more information on static conduction kindly visit to
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what best describes the concept of an earth in radiation balance? group of answer choices the incoming short-wave solar radiation is greater than the outgoing long-wave terrestrial radiation. the incoming short-wave solar radiation equals the outgoing long-wave terrestrial radiation. the incoming short-wave solar radiation equals the outgoing short-wave terrestrial radiation. the incoming short-wave solar radiation is less than the outgoing long-wave terrestrial radiation.
The concept of an Earth in radiation balance means that the incoming short-wave solar radiation is equal to the outgoing long-wave terrestrial radiation.
This means that the amount of energy entering the atmosphere from the sun (short-wave solar radiation) is the same as the amount of energy leaving the Earth’s surface (long-wave terrestrial radiation).
This balance of incoming and outgoing energy is essential to maintaining Earth’s climate. When the balance is disrupted, the climate can change, leading to extreme weather events and long-term climate change.
The amount of energy entering and leaving the atmosphere is determined by the Earth’s albedo, which is the amount of solar radiation that is reflected off the planet’s surface. If the albedo is high, then more of the incoming energy is reflected back into space, keeping the Earth in radiation balance.
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A material that reflects or absorbs all the light that strikes it is?
Answer:
opaque
Explanation:
opaque materials can’t let any light pass through, therefore it either reflects or absorbs all light.
How is torque related to rotation?
"The force that can cause an object to rotate along an axis is measured as torque." Similar to how force accelerates an object in linear kinematics, torque accelerates a body in an angular direction.
Torque is a measure of the turning effect of an applied force about a specific point or axis. It is computed by multiplying the force exerted on a body by the separation between the point of rotation and the application of the force.
The torque increases as the force or distance from the centre of rotation increases. The unit of torque is typically Newton-meters (N·m) in the International System of Units (SI) or pound-feet (lb·ft) in the imperial system. In several fields, including physics, mechanics, engineering, and robotics, torque is important.
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What is the ratio of mass A to mass B?
An object has positive acceleration when it is going faster than it was previously.
Which is object accelerating?An object has positive acceleration when it is going faster than it was previously.
According to the equation a = v/t, acceleration (a) is the product of the change in velocity (v) and the change in time (t). In terms of metres per second squared (m/s2), this enables you to calculate how quickly velocity varies.
In accordance with Newton's second law of motion, an object's acceleration is determined by its mass and the net force that is exerting on it.
The relationship between object acceleration and mass is inverse for constant force.
As a result, object A's and object B's accelerations are
Object B therefore has the greatest mass.
The least massive object is A.
mass A/mass B is a ratio that is,
[tex]$\frac{m_A}{m_B}=\frac{a_B}{a_A}=\frac{3}{5}$[/tex]
The complete question is:
A constant force applied to object A causes it to accelerate at 5 m/s2. The same force applied to object B causes an acceleration of 3 m/s2. Applied to object C, it causes an acceleration of 7 m/s2.
A. Which object has the largest mass?B. Which object has the smallest mass?C. What is the ratio of mass A to mass B?
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The strength of an electromagnet's magnetic field can be increased by which of the following? Multiple answers are correct. Select all that apply.
A. Increasing the amount of current flowing through the wire
B. Increasing the number of coils packed close together
C. The addition of a quartz core
D. Increasing the thickness of the coils
The strength of an electromagnet's magnetic field can be increased by the following below:
A. Increasing the amount of current flowing through the wire
B. Increasing the number of coils packed close together
D. Increasing the thickness of the coils.
What is a Magnetic field?This is referred to as a region around a magnetic material or a moving electric charge within which the force of magnetism acts.
Increasing the number of coils packed close together or the thickness will increase the strength of an electromagnet's magnetic field because each coil has its own magnetic field, so the more coils will increase it thereby making it the correct choices.
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A ball a is thrown vertically upwards at 25 ms-1 from a point p. Three seconds later a second ball b is also thrown vertically upwards from the point p at 25 ms-1. Taking the acceleration due to gravity to be 10 ms-2 , calculate.
(a) The time where the two balls meet is 4 seconds.
(b) The height above P at which A and B meet is 20 meters.
The result is obtained by using the equation in uniformly accelerated motion.
What are the equation in uniformly accelerated motion?The equations apply in uniformly accelerated motion in vertical dimension are
v₁ = v₀ + gt
v₁² = v₀² + 2gh
h = v₀t + ½ gt²
Where
v₀ = initial velocityv₁ = final velocityg = acceleration due to gravityt = timeh = height of objectYour question is incomplete, but most probably your full question was:
A ball a is thrown vertically upwards at 25 ms⁻¹ from a point p. Three seconds later a second ball b is also thrown vertically upwards from the point p at 25 ms⁻¹. Taking the acceleration due to gravity to be 10 ms⁻², calculate:
(a) the time for which ball A has been in motion when the balls meet.
(b) the height above P at which A and B meet.
At the time t = 3 seconds, ball A reach the height of
h = v₀ t + ½ gt²
h = 25(3) + ½ (-10)(3)²
h = 75 - 45
h = 30 m
At the same instant, the velocity of ball A is
v₁ = v₀ + gt
v₁ = 25 + (-10)(3)
v₁ = 25 - 30
v₁ = -5 m/s
The minus sign means that ball A moves downward.
Ball B is now launched. Both of balls are accelerated by the same gravity field. They have a constant relative velocity of
vr = 25 - (-5)
vr = 30 m/s
Ball A and ball B is approaching at 30 m/s. The time that ball A meets ball B would be
t = 3 + h/vr = 3 + 30/30 = 4 s
It is 1 second after ball B is launched.
The height above P at which ball A and ball B meet would be
h₁ = v₀t + ½ gt²
h₁ = 25(1) + ½ (-10)(1)²
h₁ = 25 - 5
h₁ = 20 m
Hence, the time and height above P at which ball A and ball B meet is 4 s and 20 m, respectively.
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One of the fastest pitches ever thrown in major league baseball was by aroldis chapman and had a velocity of 105. 1 miles/hour. How many seconds did it take this pitch to travel the 60 feet and 6 inches from the pitcher's mound to home plate? (1 mile = 5280 feet).
Answer:
V = 105.1 miles / hr = 105.1 miles * 5280 ft/mile / (1 hr * 3600 sec / hr)
V = 154.1 ft/sec
t = S / V = 60.6 ft / 154.1 ft/sec = .393 sec
Why is torque direction perpendicular?
As a cross product is in a plane perpendicular to the r and F vectors and the torques produced by two forces of a couple are in the same direction as one another, the direction of torque is always perpendicular to the plane of rotation of the body.
Torque is a vector quantity by definition. The direction is determined as part of the torque computation. The direction is parallel to both the force and the radius from the axis. It is customary to choose it along the axis of rotation in the right hand rule direction.
It follows that the applied torque and the perpendicular distance are directly related. To put it another way, the torque increases as the force applied increases and as the perpendicular distance increases.
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You can use the following questions to probe student understanding of the online resources and to transition back to the microwave oven phenomenon.
Microwaves are very efficient at heating water, but all electromagnetic waves can cause matter to heat up. Why is this?
The transfer of energy causes atoms and molecules to vibrate more rapidly, which in turn causes matter to heat up.
Why do all electromagnetic waves cause matter to heat up?All electromagnetic waves, including microwaves, are forms of energy that oscillate at specific frequency. When waves interact with matter, they transfer their energy to atoms and molecules within that matter. This transfer of energy causes atoms and molecules to vibrate more rapidly, which causes the matter to heat up.
Microwaves are particularly efficient at heating water because frequency is in the range that matches natural resonance frequency of water molecules. This means that they transfer energy more efficiently to water molecules, which results in faster heating as compared to other forms of electromagnetic waves.
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Which of these actions should you take to prepare for an earthquake?
A. Keep heavy furniture in closets and bathrooms.
B. Remove heavy items such as fire extinguishers.
C. Anchor heavy furniture to the walls or floors.
D. Place heavy objects on shelves and in cupboards.
SUBMIT
An earthquake is a sudden movement of geological materials beneath the earth's surface that causes a weak to intense shaking of the ground.
What is earthquake explain?When rock materials suddenly migrate beneath the earth's surface, it causes the ground to shake violently or weakly. Tectonic plate boundaries are where earthquakes start.
Sudden movement along fault lines within the Earth causes earthquakes. Seismic waves, which travel through the Earth and cause the earth to tremble, are created when the movement releases accumulated "elastic strain" energy.
1 Anchor furniture to prevent tipping or collapse.
2 Arrange safety precautions to prevent accidents.
3. Verify the sturdiness of your home and its walls.
4 Always be prepared to put out fires.
5 Implement fire prevention and early detection measures.
6 Prepare your emergency supplies ahead of time.
7 Talk to your family about disaster preparedness.
8 Be aware of any potential dangers nearby.
9 Stay up to date on emergencies.
10 Get prepared for emergencies.
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if an object is accelerating toward a point, then it must be getting closer and closer to that point. True/False ?
If an object is accelerating toward a point, then it must be getting closer and closer to that point. is false.
Which is true when an item is accelerating?When an object's velocity changes, it accelerates.The item will be moving faster if the acceleration and velocity are pointing in the same direction. The item will also slow down if the acceleration is pointing in the opposite direction as the velocity.The rate at which an item changes its velocity is known as acceleration, a vector variable. If an object's velocity is changing, it is accelerating.The pace at which a person's velocity changes is known as acceleration. This implies that an item is accelerating if its velocity is rising or falling. An object that is accelerating won't have a steady change in location every second like an item travelling at a constant speed does.To learn more about accelerating refer to:
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A car applies a force of 36.8 newtons for a 668-meter loop; what was the work done?
The Work done by a car that applies a force of 36.8 newtons for a 668-meter loop is 24582 J.
Work done is defined as the amount of energy transferred or transformed by a force acting on an object over a distance. Work done can be positive, negative, or zero.
Positive work is done on an object when the force and distance are in the same direction. Negative work is done on an object when the force and distance are in opposite directions. Zero work is done on an object when the force is perpendicular to the distance. Unit of work done is Joules.
Mathematically, work done is represented by the equation:
Work done = Force x Displacement
Force applied = 36.8 N
Displacement = 668 m
Work done = 36.8 * 668
Work done = 24582 J
It can be rounded up to 24600 J.
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14. Why does wrapping wire into a solenoid shape increase the strength of the magnetic field?
Wrapping wire into a solenoid shape increase the strength of the magnetic field because the magnetic field of the current aligns the iron's domains.
How can a solenoid amplify the magnetic field it produces?
Increasing the coil's turn count is one way to strengthen the magnetic field surrounding a solenoid. Expanding the current.
Why does coiling a wire make the magnetic field stronger?
Additionally, the magnetic field produced is greater the more turns the wire used to make the coil has. This happens as a result of the magnetic field generated by each turn of the wire superposing onto the same center as the turn before it, strengthening the magnetic field.
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A 15 kg bowling ball traveling at 24.5 m/s strikes a 5 kg. bowling pin that is at rest. After the collision the ball is traveling at 20 m/s. What would be the final velocity of the pin if they don't stick together? (assume no rotational motion of the ball and pin and a frictionless surface)
A hot-air balloon takes off from the ground traveling vertically with a constant upward acceleration of magnitude g/4. After time interval Δt, a crew member releases a ballast sandbag from the basket attached to the balloon.
How many seconds does it take the sandbag to reach the ground?
A hot-air balloon takes off from ground traveling vertically with constant upward acceleration of magnitude g/4, it takes 1/2 of the time interval Δt for the sandbag to reach the ground.
What is acceleration?The rate of change of the velocity of an object with respect to time is called acceleration.
The time it takes for the sandbag to reach the ground can be calculated as: t = (2*v_f) / g
where t is time in seconds, v_f is final velocity of the sandbag and g is 9.8 m/s^2.
upward velocity of the balloon at time t is : v_b = (g/4)*t
So, final velocity of sandbag (v_f) is also (g/4)*t.
t = (2*(g/4)*t) / g
t = (2*t) / 4
So, t = 1/2 * t
Hence, it takes 1/2 of the time interval Δt for the sandbag to reach the ground.
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Identify the factors that caused the change.
(3 pts) what is the separation between two slits for which 610-nm orange light has its first maximum at an angle of 30.0to? list your answer in mm.
The separation between the two slits is 1.22 mm for the first maximum to occur at 30.0° for 610-nm orange light. The concept that is used to determine the distance between two slits is wave.
The separation between two slits for an interference pattern can be determined using the formula:
d sin θ = mλ
where d is the separation between the slits, θ is the angle at which the maximum occurs, m is the order of the maximum (m = 1 for the first maximum), λ is the wavelength of the light, and all the units should be consistent.
In this case, λ = 610 nm = 610 x 10⁻⁹ m (converting from nanometers to meters)
θ = 30.0°
m = 1
So we can plug in the known values and solve for d:
d = (mλ) / sin θ
= (1 x 610 x 10⁻⁹ m) / (sin 30.0°)
= 610 x 10⁻⁹ m / 0.5
= 1220 x 10⁻⁹ m
To convert this to millimeters, we can multiply by 1000:
= 1220 x 10⁻⁹ m x 1000
= 1.22 mm
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mple lever. A lift is used to carry boxes to the top floor of a hotel 20 m high. A total weight of 100 kg of boxes was carried up in 20 seconds. If the useful output of the engine driving the lift mechanism is 1.2 kilowatt, calculate the efficiency of the engine of the lift mechanism. (a) (i) What is meant by a
The efficiency of the system of the levers is 122%.
What is the efficiency?We have to note that the efficiency is the ratio of the work out put to the work out put multiplied by 100. In this case, we are told that a lift is used to carry boxes to the top floor of a hotel 20 m high. A total weight of 100 kg of boxes was carried up in 20 seconds. and that the useful output of the engine driving the lift mechanism is 1.2 kilowatt.
Work input = 100 Kg * 9.8 m/s^2* 20 m = 19600 J
Work output = 1.2 kilowatt * 10^3 * 20 = 24000 J
Then we have;
Efficiency = Work out put/ Work input * 100
= 24000/19600 * 100
= 122%
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two drivers, alison and kevin, are participating in a race. beginning from a standing start, they each proceed with a constant acceleration. alison covers the last of the distance in seconds, whereas kevin covers the last of the distance in seconds. who wins and by how much time?
Alison and kevin, are participating in a race. Alison wins by 5.1 seconds
Who wins and by how much time?
Alison and kevin, are participating in a race. beginning from a standing start, they each proceed with a constant acceleration.
1/9 in 5 seconds, Alison
1/5 in 9 seconds for Kevin.
Race length equals x
"Alison": "x/9 in 5 sec."
Kevin: X in 5 seconds
Si = 0 served as their starting point.
At the beginning, they weren't moving: Vi = 0
S = at²/2
A1 = 2x/225, Alison: x/9 = a1.52/2
Kevin: 2x/405 is equal to x/5 = a2.92/2.
Thinking about the entire distance
x = a1.t2/2, x = 2x.t2/225.2, and so on, Alison t² = 225 → t = 15
Kevin: t = 20,1 and x = a2.t2/2 and x = 2x.t2/405.2
20,1 - 15 = 5,1 s
Alison wins by 5.1 seconds
The complete question is Two drivers, Alison and Kevin, are participating in a race. Beginning from a standing start, they each proceed with a constant acceleration. Alison covers the last one ninth of the distance in 5 seconds, whereas Kevin covers the last one fifth of the distance in 9 seconds. Who wins and by how much time?
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a meteoroid falls toward the earth. it is essentially at rest with respect to the earth when it is at a height of 3.41 107 m above the earth's surface. with what speed does the meteorite (a meteoroid that survives to impact the earth's surface) strike the earth?
The answer is that the meteorite will strike the Earth at a speed of 2.31 x 10²⁰ N·s/m, depending on its mass.
Assuming the meteorite falls in a vacuum and there are no other forces acting on it, it will accelerate as it falls towards the Earth. This acceleration is caused by the gravitational force of the Earth, which is equal to:
F = GMm/r²
where G is the universal gravitational constant, M is the mass of the Earth, m is the mass of the meteorite, and r is the distance between the two objects.At a height of 3.41 x 10⁷ m, the gravitational force can be calculated as follows:
F = (6.67 x 10⁻¹¹) (5.97 x 10²⁴) (m) / (3.41 x 10⁷)2
F = 6.64 x 10¹⁴ N
This is the force causing the acceleration of the meteorite.
The acceleration can be calculated using Newton's Second Law, which states that the force is equal to the mass times the acceleration.
F = ma
Solving for a, we get:
a = F/m
Plugging in the values we calculated above, we get:
a = (6.64 x 10¹⁴ N)/m
By the time the meteorite reaches the surface of the Earth, it will have accelerated to a velocity equal to the integral of the acceleration over time. This can be expressed as follows:
v = ∫a dt
This integral can be solved using the equation for acceleration we derived above:
v = ∫(6.64 x 10¹⁴ N/m)dt
Solving for v, we get:
v = (6.64 x 10¹⁴ N/m)t
At the surface of the Earth, the time since the meteorite was at a height of 3.41 x 10⁷ m is equal to:
t = (3.41 x 10⁷ m)/(9.8 m/s²)
t = 3.48 x 10⁵ s
Plugging this into our equation for velocity, we get:
v = (6.64 x 10¹⁴ N/m)(3.48 x 10⁵ s)
v = 2.31 x 10²⁰ N·s/m
Finally, we can convert this to speed by dividing by the mass of the meteorite:
v = (2.31 x 10²⁰ N·s/m)/m
So, the answer is that the meteorite will strike the Earth at a speed of 2.31 x 10²⁰ N·s/m, depending on its mass.
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The hall effect can be used to calculate the charge-carrier number density in a conductor. If a conductor carrying a current of 2. 0 space a is 0. 5 space m m thick, and the hall effect voltage is 4. 5 space m v when it is in a uniform magnetic field of 1. 2 space t, what is the density of charge carriers in the conductor?.
The hall effect can be used to calculate the charge-carrier number density in a conductor. If a conductor carrying a current of 2. 0 space a is 0. 5 space m m thick, and the hall effect voltage is 4. 5 space m v when it is in a uniform magnetic field of 1. 2 space t, 6.6 × 10⁻²⁷ electron. m⁻³ is the density of charge carriers in the conductor
What is hall effect?When a semiconductor's current flows perpendicular to the magnetic field, electrons (or holes) in an n-type (or p-type) semiconductor are deflected, creating the Hall effect. The Hall voltage, whose polarity is determined by the effective charge of the carrier, is created by the deflecting of these charged carriers.
Along with detecting the existence of a current on a magnetic field, the Hall effect may also be used to gauge the concentration of current carriers, their mobility, and their freedom of movement.
As we know,
n = (i × B) / (Vh × e × L)
Where,
i = current
B= Magnetic field
L = Length
n = number of charge carriers
e= charge of a electron
We need replace and solve for n,
n = (i × B) / (Vh × e × L) [Vh stands for hall voltage]
or, n = (2 × 1.2) / (4.5 × 10⁻⁶ × 5 × 10⁻³ × 1.6 × 10⁻¹⁹)
or, n = 6.6 × 10⁻²⁷ electron. m⁻³
Therefore the density of charge carrier is: 6.6 × 10⁻²⁷ electron. m⁻³
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in the heliocentric model only one object orbits the earth. what is it
Answer:
The heliocentric model implies that all the other planets, stars, etc., describe an orbit around the Sun. In the geocentric model, all these celestial bodies revolve around the Earth. The heliocentric model was introduced in the 16th century by Polish astronomer and mathematician Nicolaus Copernicus
Which of the following materials is needed to create an electromagnet? Select all that apply. Multiple answers are correct.
A. Iron nail
B. Metal wire
C. Battery
D. Permanent magnet
Answer: A, B, C
Explanation:
It just needs a length of wire turned into a coil and connected to a battery or power supply.
A father lifts a toddler 1. 5 m up in the air. The child gains 187. 5 j of energy in her gravitational potential energy store as a result. What is the mass of the toddler?.
Answer:
Approximately [tex]13\; {\rm kg}[/tex], assuming that [tex]g = 9.81\; {\rm N \cdot kg^{-1}}[/tex].
Explanation:
The gravitational field is approximately uniform ([tex]g \approx 9.81\; {\rm N\cdot kg^{-1}}[/tex]) near the surface of the Earth.
Consider an object of mass [tex]m[/tex] in this gravitational field. If the height of this object increases by [tex]\Delta h[/tex], this object would gain gravitational potential energy ([tex]\text{GPE}[/tex]) [tex]m\, g\, \Delta h[/tex].
In this question, it is given that [tex]\Delta h = 1.5\; {\rm m}[/tex]. The object gained [tex]187.5\; {\rm J}[/tex] of [tex]\text{GPE}[/tex]. Rearrange the equation [tex]\text{GPE} = m\, g\, \Delta h[/tex] to find the mass of this object:
[tex]\begin{aligned}m &= \frac{(\text{GPE})}{g\, \Delta h} \\ &= \frac{187.5\; {\rm J}}{(9.81\; {\rm N\cdot kg^{-1}})\, (1.5\; {\rm m})} \\ &\approx 13\; {\rm kg} \end{aligned}[/tex].
(Note that [tex]187.5\; {\rm J} = 187.5\; {\rm N\cdot m}[/tex].)