The acceleration of the rocket is 300 m/[tex]s^{2}[/tex].
F = ma
Here, F = force, given = 1.5 N
m = mass, 0.005 kg
Put these values in formula, F = ma
a = F/m
a = 1.5/0.005
a = 300 m/[tex]s^{2}[/tex]
Therefore, the acceleration of the rocket is 300 m/[tex]s^{2}[/tex].
Acceleration, rate at which speed changes with time, in phrases of each speed and direction. A factor or an item moving in a straight line is accelerated if it accelerates or slows down.
Unit of acceleration is the meter in keeping with second according to second, m/[tex]s^{2}[/tex]. Definition. The newton is that pressure which, whilst acting on a mass of one kilogram, produces an acceleration of one meter per second per second.
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calculate the self-inductance (in mh) of a 49.0 cm long, 10.0 cm diameter solenoid having 1000 loops.
The self inductance in the solenoid is
Self inductance in the solenoidWe have,
Length of solenoid = 49.0 cm = 0.49 m ⇒ l
Diameter of the solenoid = 10.0 cm ⇒ d
Radius = 5 cm = 0.05 m ⇒ r
Number of loops in the solenoid is 1000 ⇒ N
µ₀ = 4π × 10⁻⁷ H/m.
So, the self inductance in the solenoid is:
L = {μ₀ (N)² (A)}/l
= {(4π × 10⁻⁷) (1000)² (0.05)²}/0.55
= 0.00570 H = 5.70 mH
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A baseball rolls off a 0. 70 m high desk and strikes the floor 0. 25 m away from the base of the desk. How fast was the ball rolling?.
The ball was rolling at a speed of 0.66 m/s when it was rolling on the desk.
The speed of the ball as it fallsDetermine the time it takes the ball to fall to the floor.
We have,
y = 0.70 m
g = 9.8 m/s²
s = 0.25 m
So,
y = ½ (a) (t)²
t = √(2y/g)
= √(2) (0.70 m) / (9.8 m/s²)
= 0.378 s
Determine the speed at which the ball rolls across the table.
v = s/t
= 0.25/0.378
= 0.66 m/s
Thus, the ball rolls off the table at a speed of 0.66 m/s
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why do you push down harder on the pedal tours with bicycle when first starting out then when moving
We push town harder on the paddle tours with bicycle when first starting out then when moving because of the law of inertia.
According to the Law of Inertia and Newton's first law of motion,
If a body is at the state of rest or in the state of motion then it will continue it state unless and until an external force is applied on it in order to change its state.
The property of the object to remain in its state is called inertia. Whenever you try to change the state of body we use an external force.
So, when we start to pedal the bicycle we are trying to change the state of rest of the bicycle. But when the bicycle starts to move we are not trying to change the state of the bicycle we are continuously along the bicycle to move and remain and its state of motion.
This is the reason why we push down harder on the pedal tours with bicycle when first starting out then when moving.
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what would the roche limit be for an earth-orbiting body with the same density as earth? (the earth's density is 5.5 g/cm3. give your answer in terms of rearth.)
Buying or selling the Earth will go against the rights of the inhabitants of the world (humans and other living beings).
What is the Roche limit of Earth?
Solar influence
Far from the Roche limit, the mass is practically spherical. Closer to the Roche limit, the body is deformed by tidal forces. Within the Roche limit, the mass's own gravity can no longer withstand the tidal forces, and the body disintegrates.If Earth had two moons, it would be catastrophic. An extra moon would lead to larger tides and wipe out major cities like New York and Singapore. The extra pull of the moons would also slow down the Earth's rotation, causing the day to get longer.The Moon will swing ever closer to Earth until it reaches a point 11,470 miles (18,470 kilometers) above our planet, a point termed the Roche limit. "Reaching the Roche limit means that the gravity holding it [the Moon] together is weaker than the tidal forces acting to pull it apart," Wilson said.The Roche limit for the Moon orbiting the Earth is 2.86 times radius of EarthThe nearest distance between the planet and its satellite at where the planets gravitational pull does not torn apart the planets satellite is known as Roche limit.The relation to determine Roche limit is:
[tex]Roche Limit=(2.423) (Rp3) {{\sqrt[3]{\frac{D_{P} }{D_{m} } } } }[/tex]
Here is radius of planet and are density of planet and moon respectively.
According to the problem,
Density of Earth, = 5.5 g/cm³
Density of Moon, = 3.34 g/cm³
Consider be the radius of the Earth.
Substitute the suitable values in the equation (1).
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the potential energy of a particular mass-spring system is 10 j when the spring is stretched by a distance of a. what is the potential energy when the same mass-spring system when the spring is only stretched by a distance of a/2 ?
The potential energy of the spring-mass system when the spring is only stretched by our distance of a/2 is 2.5 Joules.
The potential energy of a spring for a particular mass spring system is given by,
U = 1/2kx²
x is the extension in the spring,
K is the spring constant.
If the spring is stretched by a distance of a then the potential energy of the mass spring system,
10 = 1/2ka²
If the spring mass-system is only stretched by a distance of a/2, then let us say that potential energy of the system is U',
U' = 1/2k(a/2)²
U' = 1/2ka²/4
Putting, 1/2ka² = 10,
U' = 10/4
U' = 2.5 Joules.
So, the potential energy of the system is now 2.5 joules.
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what is the formula for acceleration due to gravity
Acceleration due to gravity is defined as the acceleration produced in a falling body due to the force of gravity. It is denoted by “g” and its value is 9.8m/(sec*sec).
The value of “g” does not depend on the mass of the falling body, it means if two objects say a cotton ball of mass 100 gram and an iron ball of mass 100 gram are allowed to fall in a vacuum tube (free from air resistance) from some height, then both the objects will hit the ground at the same time because both get accelerated towards the ground with the same acceleration i.e 9.8 m/ (sec*sec).
In simple words, 9.8 m/(sec*sec) means the velocity of a falling body increases by 9.8 m/sec after every I sec.
Thanks.
Answer: The formula for acceleration due to gravity is F=mg
Explanation: Where F stands for the force acting on the body and m stands for the mass of the body g is the acceleration due to gravity
acompact disk spins at a rate of 200 to 6000 revolutions per minute. what are the equivalent rates measured in radians per second?
the correct answer for the disk spins at of 200 to 6000 revolutions per minute is 20o rpm = 20.999 radian per second.
A body that has made one rotation has made two radians of angle.
We apply the same conversion factor to convert the angular velocity as well:
1rev/min=2π60 radian/s
200rpm=200(2π60)rad/s=20.944radian/s
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2. A woman that has a mass of 62 kg is standing on a scale in an elevator. If the elevator is going up with an
acceleration 3 m/s², what does the scale say (normal force) as she travels up?
The mass of a girl is 62 kg.
An acceleration of an elevator (travels up) is 3 m/s².
When the elevator is going up, the normal force of a girl is calculated as follows :
First, draw force that work in the system. (Look at the picture!)
Based on the picture, we can see that normal force has the same direction as the elevator.
It means the normal force is positive and weight is negative.
∑F = m × a
N - W = m × a
N = (m × a) + W
N = (m × a) + (m × g)
N = m (a + g)
N = 62 (3 + 10)
N = 62 (13)
N = 806 N
Normal force of 62 kg girl who travel up with an acceleration 3 m/s² by an elevator is 806 Newton.
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If a wave has a wavelength of 50 m and is traveling through water that is 30 m deep, what kind of wave is this?.
If a wave has a wavelength of 50 m and is traveling through water that is 30 m deep then this kind of wave is called deep water wave.
How is it a deep water wave?By definition, deep-sea waves are waves that occur at depths greater than half the wave's wavelength.In this case the wave wavelength is 50 m and the water depth is 30 m.Half the wave wavelength is 25 m.And this waves become deep sea waves or water waves.What is a deep water wave?Deep-sea waves occur when the depth is more than half the wavelength. Mathematically, deep-sea waves are defined as waves originating in the deep ocean that are greater than twice the wavelength of the wave. For example, if a particular wave has a wavelength of 10 meters, it is considered a deep-sea wave if the depth of the ocean where it originates is greater than 5 meters.Can learn more about deep water waves from https://brainly.com/question/23269505
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a baseball is thrown upward from a height of meters with an initial velocity of meters per second. determine its maximum height.
the correct answer is maximum height = 25.86 meters.
h(t) = -4.9t^2 + 8t + 3
take the derivative and set equal to zero
h'(t) = -9.8t + 8 = 0
max height is when t = 8/9.8 = 4/4.9 = about .816 seconds t
plug that value into the 1st equation above to calculate maximum height'
h(4/4.9) = -4.9(4/4.9^2) + 8(4/4.9) + 3 = -3.2653 +26.1224 +3 = 25.86 meters = max height
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A block starting from rest slides down the length of an 18 m plank with a uniform acceleration of 4. 0 m/s2. How long does the block take to reach the bottom?.
Starting at rest, a block accelerates at 4.0 meters per second square and slides down an 18-meter plank. The block needs three seconds to get to the bottom.
What is acceleration?
Acceleration is the term used to describe how quickly an object changes its velocity. A vector quantity is an acceleration. An object is said to be accelerating if its velocity is changing; an item with a steady velocity is not accelerating.
The velocity of a moving object refers to how quickly it is moving in that direction. Consider the speed of a car driving north on a highway or the speed at which a rocket takes off as an example.
Given that in the question block slides down an 18 m plank length with an acceleration of 4.0 meters per second square when it begins at rest.
Using the equation of motion,
S = ut + (1/2)at²
s is distance, s = 18 m
u is initial velocity, u = 0
a is acceleration, a = 4 m/sec²
t is time
18 = 0*t + (1/2)*4*t
solving we get t = 3 sec.
Hence, the time taken by the block to reach the bottom is 3 sec.
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an 8.00 kg block of wood sits at the edge of a frictionless table, 2.20 m above the floor. a 0.500 kg blob of clay slides along the length of the table with a speed of 24.0 m>s, strikes the block of wood, and sticks to it. the combined object leaves the edge of the table and travels to the floor. what horizontal distance has the combined object traveled when it reaches the floor?
The object has to travel a horizontal distance of 0.943 m when it reaches a floor.
Here, it has been mentioned that the mass of the wood is = 8.00 kg
The mass of the clay blob is = 0.500 kg
The speed of the clay blob is = 24 m/s
The speed of the wood is = 0 m/s
We already know that the formula for the final velocity after the collision is
= [tex]m_{1}[/tex][tex]v_{1}[/tex]/[tex]m_{1}[/tex]+[tex]m_{2}[/tex]
Using this formula and the given conditions, we get-
= 1.41 m/s (i)
We know the formula = S = ut+1/2g*t^2
Using this formula and the values given, we get the time traveled to go down = 2.20= 0+1/2(9.8)*t^2
= t = 0.669 seconds (ii)
Using the values of (i) and (ii), we get-
Distance travelled horizontally = x = 1.41 * 0.669
= 0.943 meters
Therefore, we know that the object travels 0.943 meters horizontally,
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An antelope is being chased across the savannah by a hungry lion. The lion runs at a constant speed. How might the antelope use its velocity to escape the lion? choose the three statements that apply.
The antelope can flee from the lion if it can run in the same direction while speeding up, if it can run in that same direction while speeding up, or if it can do both.These first three claims are accurate in all three cases.
How do prey and predator interact?There is a prey-predator connection in every ecosystem.Only if the prey possesses additional traits, such as the capacity to mimic the poisonous species that the predator despises, the speed to run, the capacity to hide from the predator, etc., can it escape the predator.The lion's preferred prey is the antelope.So the antelope can easily flee from the lion if it speeds up its pace.It can readily hide in another location and flee the lion if it runs at the same speed but changes directions.The victim makes an effort to defend itself against the predator in this way.As a result, the first three methods—A, B, and C—can all be employed to avoid the lion (predator).To learn more about antelope refer
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a child is pulling an empty cart attached by a rope that is parallel to the ground. the cart is moving with constant velocity, and its mass is 1.5 kg. suppose a mass of 7.5 kg is added to the sled, and its velocity stays the same. by what factor does the tension in the rope change?
The tension in the rope is changed by 75 N
Tension is the force that is transmitted through a body which can be a rope or a wire which is pulled from both sides. Whenever there is a rope being pulled from one side then according to Newton's third law, equal force is exerted by the rope on the other side. This transmission of forces is known as tension in that rope.
Given,
Mass 1 = m₁ = 1.5 kg
Mass 2 = m₂ = 7.5 kg + 1.5 kg = 9 kg
g = 10 m/s² = acceleration due to gravity
Tension in the rope when mass 1.5 kg is attached to the string,
T₁ = m₁g = 1.5 * 10 = 15 kg
Tension in the rope when mass 1.5 kg is attached to the string,
T₂ = m₂g = 9*10 = 90 kg
The change that tension undergoes
T₂ - T₁ = 90 - 15 = 75
Therefore, the factor by which the tension in the rope changes is 75 N
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A tudent ride her bicycle down a hill. Together, he and the bicycle have a ma of 56 kilogram. She i moving at 11 meter per econd. What i her kinetic energy? PLEASE HELP!! NEED IN THE NEXT LIKE 10 MINS!!! THANK YOUU!!
Her kinetic energy is 3,338 joules.
Solution:
Kinetic Energy = [tex]\frac{1}{2} mv^{2}[/tex]
mass = 56kg
velocity = 11m/s
Kinetic Energy = [tex]\frac{1}{2}[/tex]x 56 x
Kinetic Energy = 28 x 121
Kinetic Energy = 3,388 Joules.
Kinetic energy is the energy that an object possesses due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. Weight is a measure of the force of gravity that pulls an object down. This depends on the mass of the object and the acceleration due to gravity. Kinetic energy is the kinetic energy observable as the motion of a body particle or group of particles.
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✓
molecules change from being a liquid to a gas
throughout the substance
(True or false)
False, Some molecules may change from being a liquid to a gas, but not all molecules throughout the substance.
What is molecules?
According to the context, the term may not include ions that meet this requirement. A molecule is a collection of two or more atoms held together by the attractive forces known as chemical bonds. When speaking of polyatomic ions, the distinction between them and ions is frequently dropped in the fields of quantum physics, organic chemistry, and biochemistry. A molecule can be heteronuclear, which is a chemical compound made up of more than one element, like water, or homonuclear, which is a chemical compound made up of atoms of one chemical element, like the two atoms in the oxygen molecule (O2). The term "molecule" is frequently used to refer to any gaseous particle, regardless of its composition, in the kinetic theory of gases.
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an ice dancer with her arms stretched out starts into a spin with an angular velocity of 1.00 rad/s. her moment of inertia with her arms stretched out is 2.48 kg m2. what is the increase in her rotational kinetic energy when she pulls in her arms to make her moment of inertia 1.40 kg m2?
The rotational kinetic energy when she pulls in her arms is 0.7 joule.
We need to know about kinetic energy to solve this problem. Kinetic energy is the energy from a moving object. It can be determined as
KE = 1/2 . I . ώ²
where KE is kinetic energy, I is the moment of inertia and ώ is the angular speed.
From the question above, we know that
ώ = 1 rad/s
I = 1.4 kgm²
Let's assume that the angular velocity does not change. The kinetic energy should be
KE = 1/2 . I . ώ²
KE = 1/2 . 1.4 . 1²
KE = 0.7 joule
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How do you identify conjunctive adverbs in a sentence?.
Subjunctive adverbs can be followed by a semicolon or period usually followed by a comma.
Adverb Conjunctions also called conjunctive adverbs to join two complete thoughts together like conjunctions. Use the second sentence to modify the first sentence like an adverb. Subjunctive adverbs can be followed by a semicolon or period, usually followed by a comma.
Conjunctive adverbs are a special type of adverb used to connect independent clauses together. While most adverbs are used to modify verbs adjectives or other adverbs subjunctive adverbs are used as conjunctions to connect one sentence to another. Indicates a connection between two separate statements within a sentence. Organize your ideas into two or more sentences. Show the relationships between ideas in stand-alone sentences.
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what is the direction of the centripetal acceleration of the gum, as the fan is turning at top speed?
Radially inward is the direction of the gum when the fan reaches its top speed.
Centripetal acceleration is the type of acceleration that acts on the object with its direction towards the midpoint of the circular motion that the object is revolving in like in the case of the fan with the gum.
It should be kept in mind that centripetal acceleration acts on the body when it is in a constant circular motion albeit the direction changes periodically with the object always acting radially inward.
The centripetal acceleration is given by the formula
= v² / r
Here v = velocity of moving object
r = distance from midpoint/centre of the circular path
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What is the moment of inertia of a 1. 5-kg-rod that rotates about its center? the length of the rod is 1. 8 m.
Using the concepts of Moment of inertia, we got that 2.43kgm² is the moment of inertia of a 1. 5-kg-rod that rotates about its center if the length of the rod is 1. 8 m.
We know very well that moment of inertia of rod is different at different point.
Moment of inertia of rod about the center is given by (1/2)ML²,where moment of inertia of rod at the ends is given by (1/3)ML².
Now, we have mass of rod which is given by 1.5 kg, and length of rod is 1.8m
Therefore, moment of inertia of a rod about its center=(1/2)ML².
On putting the values,(M.O.I)=(1/2)×1.5×(1.8)×(1.8)
=>(M.O.I)=(0.5)×1.5×1.8×1.8
=>(M.O.I)=2.43Kgm²
Hence, the moment of inertia of a 1. 5-kg-rod that rotates about its center, if the length of the rod is 1. 8 m. is 2.43kgm².
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what property or properties of light determine whether it is blue or red or ultraviolet or any other type of light in the electromagnetic spectrum?
Wavelength is the property of light determine whether it is blue or red or ultraviolet or any other type of light in the electromagnetic spectrum
Wavelength is that property of light which determine the color and type of light .
In visible region , every colors of light have its associated wavelength .
The distance between consecutive crests of a wave, particularly the points of an electromagnetic wave is known as its wavelength.
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A 0.045 kg bullet moving at 478 m/s strikes a stationary 5.2 kg wooden block. The bullet passes through the block and leaves with a velocity of 304 m/s. If the block was originally at rest, how fast does it move after being hit by the bullet?
Work out and use units
The speed of the block ofter being hit by the bullet of mass 0.045 kg is 6.77 m/s.
What is speed?Speed can be defined as the ratio of distance to time.
To calculate how fast the block move after being hit by the bullet, we use the formula below.
Formula:
U = (mv-mV)/M......... Equation 1Where:
U = Speed of the block after being hit by the bulletM = Mass of the blockm = Mass of the bulletv = Initial speed of the bulletV = Final speed of the bulletFrom the question,
Given:
m = 0.045 kgM = 5.2 kgv = 478 m/sV = 304 m/sSubstitute these values into equation 1
U = [(0.045×478)+)-(0.045×304)]/5.2U = (21.51+13.68)/5.2U = 35.19/5.2U = 6.77 m/sHence, the speed of the block ofter being hit by the bullet is 6.77 m/s.
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a 95.0-kg person stands on a scale in an elevator. what is the apparent weight when the elevator is: (a) accelerating upward with an acceleration of 1.80 m/s2 (b) moving upward at a constant speed (c) accelerating downward with an acceleration of 1.30 m/s2
The accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.
What is acceleration?Acceleration is defined as the rate of change of velocity with time, both in terms of speed and direction. They are vector quantities, accelerations. The direction of an object's acceleration is determined by the direction of the net force acting on it.
The accelerating upward with an acceleration of 1.80 m/s2
ΣFy = ma − mg + N
= ma − (95)(9.8) + N
= (95)(1.8) N
= 1102N
The accelerating downward with an acceleration of 1.30 m/s2
ΣFy = ma − mg + N
= ma − (95)(9.8) + N
= (95)(−1.3) N
= 807.5N
Thus, the accelerating upward with an acceleration of 1.80 m/s2 is 1102 N. The accelerating downward with an acceleration of 1.30 m/s2 is 807.5 N.
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the angular velocity of a rotating rigid body increases from 200 to 1,700 rev/min in 115 s. (enter the magnitudes.) (a) what is the angular acceleration of the body (in rad/s2)? rad/s2 (b) through what angle (in rad) does it turn in this 115 s?
The angular acceleration of the body is 9059.125 rad.
Angular Acceleration is described as the time rate of alternate angular velocity. it's also expressed in radians per 2d consistent with the second. accordingly, α = d ω d t. Angular acceleration is also called rotational acceleration.
Calculation:-
a. angular acceleration = change in angular velocity
a = 2π (1700 - 200)/60.115
= 1.37 rad/sec²
b. θ = 01/2at²
= 0.5×1.37 ×(115)²
= 9059.125 rad.
Angular acceleration (α) can be described as angular velocity (ω) divided by acceleration time (t). rather, pi (π) increased by means of power pace (n) divided by acceleration time (t) multiplied by 30. This equation yields the usual angular acceleration SI unit of radians in line with 2d squared (Rad/sec²)
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question on file pls state the direction and the force in newtons
Answer: 6.083N at -80.538 degrees
Explanation:
Force is a vector so there is magnitude and direction
1. Find the net force in each direction.
net force (y) = everything up (positive y direction) - everything down (negative y)
= 9-3 = 6N
net force (x) = everything right - everything left
= 5-6 = -1N
These are the components of the net force on the object.
r = <-1, 6>
r is the vector of the force.
We can find magnitude by using the Pythagorean theorem.
sqrt( 1^2 + 6^2) = sqrt 37 or 6.083N
to find the direction we can use trig identities
tan(theta) = y/x
tan^-1 (y/x) = theta
tan^-1(6/-1) = -80.538 degrees.
two parallel wires are separated by 6.00 cm, each carrying 3.00 a of current in the same direction. (a) what is the magnitude of the force per unit length between the wires? (b) is the force attractive or repulsive?
The magnitude of the force per unit length between the wires is 3 x 10⁻⁵ N/m and attractive forces will be in output.
Given-
Two parallel wires, each carrying 3A of current in the same direction, are spaced apart by 6cm.
Theory-
When electric charges are in relative motion with one another and have an effect on magnetized materials, a magnetic field, also known as a pseudo-vector field, is created. We can define the magnetic field as the region where magnetic force is present and is present around a magnet. Electric charges and magnetic dipoles are moved by a magnetic force created by a magnetic field, a type of field that travels through space.Two wires carrying various currents in the same direction are provided to us. Here, we can assume that a wire is maintained in the magnetic field of another wire, causing the generation of magnetic force that the wire experiences.Mathematics-
[tex]F=\alpha Ii/2\pi d\\\\\alpha =4\pi *10^{-7}\\I=i=3A\\d=6cm=0.06m\\\\\\Substituting\\\\F=3 *10^{-5} N/m[/tex]Since the currents flowing in both the wires is same so the force induced will have negative field. Negative field refers to attractive force.To know further about attractive forces -
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A motor winches a 450.0 kg load of gravel for 15.0s at a constant speed of 0.400 m/s
straight up vertically. How much work has the motor done on the box?
I
A) How much energy did the motor use in (a) if it is only 85% efficient
The energy of the motor of mass 450 kg if it is 85% efficient is 22491 J.
What is energy?Energy can be defined as the capacity or the ability to perform work.
To calculate the energy of the motor if it 85% efficient, we use the formula below.
Formula:
E = 0.85mgvt............... Equation 1Where:
E = 85% efficient energy of the motorm = Mass of the motorv = Speed of the motort = Timeg = Acceleration due to gravityWhere:
m = 450 kgv = 0.4 m/st = 15 sg = 9.8 m/sSubstitute these values into equation
E = 0.85×450×0.4×15×9.8E = 22491 JHence, the energy of the motor if it is 85% efficient is 22491 J.
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If the current in a a wire is 2. 0 amperes and the voltage across the wire is 10 volts, what is the resistance of the wire?.
the resistance of the wire to the nearest tenth of an ohm is 2Ω.
What is resistance?
resistance is a measure of the opposition to current flow in an electrical circuit. resistance always measure in ohm.It design with R.A resistor is a device designed to produce resistance. resistor can be used to the limit current, divide voltage, or generate heat.
Sol-Potential difference (V) = current (I) * Resistance (R)
V = IR
I = 2.0A
V = 10v
So the
R = ?
V = IR
R = V / I
R = 10 / 2
R = 2Ω
Thus the,
The resistance across the wire is 2Ω.
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ASSUMING THE MASSES OF THE COASTER ARE EQUAL COMPARE THE POTENTIAL ENERGY OF THE COASTER ON TOP OF THE HILL COMPARE S.T(40 M. HOW THEIT KINETIC ENERGIES AT THE BOTTOM OF THE FIRST HILL COMPARE. COMPARE THEIR SPEEDS AT THE BOTTOM OF THE FIRST HILL
The potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.
What is the roller coaster?The roller coaster is a device that is known to be a medium that we could use to demonstrate energy conservation. This is because, in the roller coaster, there is a constant conversion of energy from potential energy to kinetic energy and vice versa.
Now, we must recall that the total mechanical energy of the system is a constant. This implies that the total mechanical energy does not change. The potential energy of the roller coaster at the to of the hill is converted to the kinetic energy of the roller coaster as it is descending.
As such, as we follow the principle of the conservation of energy, it becomes clear that by comparison, the potential energy of the roller coaster at the top of the hill is equal to the kinetic energy of the roller coaster at the bottom of the hill.
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a cube of ice is floating in a glass of water. 91% of the ice is under water. what is the density of ice? after a while the ice melts. will the water level rise, fall or remain the same? explain
The density of ice is less than that of water. So, ice floats on water. If the ice is floating on the surface of water the volume of ice submerged in the water will be equal to the volume of water displaced by the ice cube.
If a piece or cube of ice is placed in a container containing water, some of its portion will remain out of the water level. As we know the fact that, the volume of ice is greater than that of the water so after melting the volume of the piece will decrease and the water level will remain the same.
So, here the water level will remain the same when the ice cube will melt. Also, Stated by Archimedes that a floating object displaces an amount of water equal to its own weight. So as the water expands when it freezes, one ounce of frozen water has a larger volume than one ounce of liquid water.
Here, the apparent weight of the ice is equal to the weight of displaced water. When the ice will melt, it will occupy the volume of displaced water. So, water remains at the same level, as it was on before. It can also be said that the density of water is more than that of ice or vice versa, so the volume of water or the water level remains the same.
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