The driver of a car traveling at 30.2 m/s applies the brakes and undergoes a constant deceleration of 1.4 m/s 2 . The car makes 139 revolutions.
A change in velocity that does not alter over time is referred to as a constant acceleration. A car's average acceleration stays constant at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Acceleration in the direction crosswise to the direction of the velocity is always referred to as deceleration. Deceleration always slows down motion. However, negative acceleration is just acceleration in the opposite direction according to the selected coordinate system.
Given:
v₀ = 30 m/s
v = 0 m/s
a = -1.4 m/s²
Find: Δx
v² = v₀² + 2aΔx
(0 m/s)
² = (30 m/s)
² + 2 (-1.4 m/s²) Δx
Δx = 321.43 m
The tires' circumference is 2 m plus 0.37 m, or 2.32 m. Therefore:
139 rev = 321.43 m (1 rev / 2.32 m)
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What is the acceleration of the particle at t 0?
The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.
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A nylon rope used by mountaineers elongates 1.10 m under
the weight of an 65.0-kg climber.
If the rope is 45.0 m in length and 7.0 mm in diameter, what is
Young’s modulus for this material? (Express your answer using two
significant figures).
The value of Young's modulus will be 6.78*10^8 N/m^2
Linear elastic solid materials have a mechanical characteristic called Young's modulus (Y), which is also referred to as the elastic modulus. It explains how strain (proportional deformation) and stress (force per unit area) interact with one another in a material.
The stiffness of a solid or its resistance to elastic deformation under stress is measured by the Young's modulus (E or Y). It connects strain (proportional deformation) along an axis or line to stress (force per unit area).
Given elongation delta L=1.10 m
Mass of A=65.0 kg,
L=45.0 m
D=7 mm
radius = r=7/2=3.5 mm
Since we know the Young's Modulus (Y) Can be defines as [tex]Y=\frac{\text { stress }}{\text { strain }}=\frac{\mathrm{F} / \mathrm{A}}{\Delta l / L}[/tex]
Now, (4/{L)=(1.10 m/45.0 m)=0.0244
[tex]\begin{aligned}\ \frac{F}{A}=\frac{M g}{A} & =\frac{65 \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{\pi r^2} \\& =\frac{65 \mathrm{~g} \times 9.8 \mathrm{~m} / \mathrm{sec}^2}{3.14 \times\left(3.5 \times 10^{-3}\right)^2} \\& =\frac{65 \times 9.8}{3.14 \times 12.25 \times 10^{-6}} \mathrm{~N} / \mathrm{m}^2 \\& =\frac{637}{38.465} \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\\frac{F}{A} & =16.56 \times 10^6 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]
Therefore, the value of Young's modulus will be
[tex]$$\begin{aligned}& Y=\frac{F / A}{\Delta l / L}=\frac{16.56 \times 10^{-6} \mathrm{~N} / \mathrm{m}^2}{0.0244}=\left(678.688 \times 10^6\right) \mathrm{N} / \mathrm{m}^2 \\& Y=6.78 \times 10^8 \mathrm{~N} / \mathrm{m}^2\end{aligned}$$[/tex]
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how much electrical energy is converted to light and thermal energy by a 160 w light bulb in one day
13824 x 10^3 J electrical energy is converted to light and thermal energy by a 160 w light bulb in one day
What is the best way to define thermal energy?Thermal energy is the movement of the molecules within an object or substance. Every material has heat energy; the sun is the primary thermal energy source in our solar system. The transfer of thermal energy through one material or item to another is known as heat.
Given,
Power = P = 160 W
time = t = 1 day = 24 hours = 24 x 3600 sec = 86400 sec
energy = power x time = 160 x 86400 = 13824 x 10^3 J
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A soft drink bottle resonates as air is blown across its top. What happens to the resonant frequency as the level of fl uid in the bottle decreases
As air is blowing across the top of a soft drink bottle, it reverberates. The frequency grows as the chamber's length lengthens.
Who defines frequency?The frequency of physics is the number of waves that pass by a specific location in a time period. According to this concept, how several cycles or waves do a body in periodical motion experience in a single unit of time?
What is a wave length?The distance between normal incidence (adjacent crests) in adjacent cycles determines how far a waveform signal has traveled in place or over a wire. In wireless systems, this length is often expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).
Therefore, As air is blown, a soda pop bottle reverberates.
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How does the number of wavelengths vary with the orbital number of the shell?
a. The number of wavelengths increases corresponding to the orbital number of the shell.
b. The number of wavelengths decreases corresponding to the orbital number of the shell.
c. The number of wavelengths does not change with the orbital number of the shell.
The number of wavelengths increases corresponding to the orbital number of the shell.
The quantum mechanical model of atoms represents the three-dimensional location of the electron in a probabilistic manner using a mathematical function known as a wavefunction, which is sometimes denoted as. Orbitals are another name for atomic wavefunctions. The wavefunction's squared magnitude reflects the probability distribution of locating the electron in a certain region of space. As a result, atomic orbitals characterize the regions of an atom that are most likely to contain electrons. Three quantum numbers characterize an atomic orbital. Any positive integer can be used as the primary quantum number, n. n is connected to the general region for orbital energy value and the average distance of an electron from the nucleus.
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A 40 kg boy dives horizontally off a 600 kg raft. If the boy's speed at the moment he is leaving the raft is 4.0 m/s, what is the raft's speed
A boy weighing 40 kg jumps off a 600 kg raft horizontally. If the youngster is leaving the raft at a velocity of 4.0 m/s, the raft will be moving at a speed of 0.26 m/s.
The conservation of linear momentum is a general law of physics that states that no single item, or system of objects, experiences a change in the quantity called momentum that describes motion. Momentum is the force needed to stop an item moving at a certain speed in a given amount of time. It is calculated by multiplying an object's mass by its velocity.
Given,
mass of the boy (m₁) = 40 kg
mass of the raft (m₂) = 600 kg
speed of the boy (u₁) = 4 m/s
We have to find out the speed of the raft (u₂)
By conservation of linear momentum, We get
m₁u₁ = m₂u₂
⇒ u₂ = (m₁ ₓ u₁)/m₂
⇒ u₂ = (40*4)/600
⇒ u₂ = 0.26 m/s
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A pilot is flying a small plane at 130 m/s in a circular path with a radius of 400 m. If a force of 3200 N is needed to maintain the pilot's circular motion, what is the pilot's mass in kilograms rounded to the nearest hundredth?
The mass of the pilot flying a small plane is 75.74 kg.
What is centripetal acceleration?Centripetal acceleration is a characteristic of an object's motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's center.
Speed of the small plane: v = 130 m/s.
Radius of circular path: r = 400 meter.
Hence, centripetal acceleration: a = v²/r = (130)²/400 m/s² = 42.25 m/s²
Required force: F = 3200 N.
Hence, from Newton's 2nd law of motion:
The pilot's mass = force/acceleration
= 3200/42.25 kg
= 75.74 kg.
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Energy due to motion and energy due to position (such as height) are both categorized as kinds of _______.
Answer:
Mechanical energy.
Explanation:
Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy or potential energy.
A 2.0 kg object is tied to the end of a cord and whirled in a horizontal circle of radius 4.0 m at 3.0 Hz. Determine: a) the velocity of the object. b) the acceleration of the object. c) the pull of the object. d) what happens if the cord breaks.
The rate at which an object's position changes when observed from a specific point of view and when measured against a specific unit of time is known as its velocity.
How do you find a velocity of an object?Velocity is the direction at which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.
An object's velocity can alter depending on whether it moves faster or slower or in a different direction. An object can move faster, slower, or remain stationary by being pushed or pulled in one direction or the other. Or to put it another way, a thing moves because of a force. Gravity and friction both act as sorts of forces that affect how an object moves.
Therefore, the correct answers are:
a) 75 m/s
b) 1.4 x 103m/s2
c) 2.8 x 103N
d) 75 m/s tangential object flight.
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Which of the following properties of a 2.3 MHz ultrasound wave remains unchanged as it passes into human tissues
When it comes to frequency, a 2.3 MHz ultrasonic wave's characteristic does not alter while it travels through human tissues.
The frequency of a wave is the number of oscillations it performs in a second. It's calibrated in hertz (Hz). The number of waves that pass a specific place in a predetermined period of time is known as wave frequency. The hertz (Hz) is the SI unit for wave frequency, and 1 hertz is equivalent to 1 wave crossing a fixed point in 1 second. A wave with a higher frequency has more energy than a wave with a lower frequency of the same amplitude.
As a result, a wave's frequency is unaffected by the medium through which it travels.
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steroid Ida was photographed by the Galileo spacecraft in 1993, and the photograph revealed that the asteroid has a moon, which has been named Dactyl. From the dimensions of Ida and its general features, one can estimate the mass of Ida to be 4.5 x 10^16 kg, and the distance between Dactyl and Ida is approximately 90 km. Assuming a circular orbit, what would be the orbital speed of Dactyl
The orbital speed of Dactyl is approximately 0.0173 meters per second.
To calculate the orbital speed of a Dactyl, we can use the formula:
v = √(G * M / r) where:
v is the orbital speed of DactylG is the gravitational constant (6.67 x 10^-11 N*(m^2)/(kg^2))M is the mass of Ida (4.5 x 10^16 kg)r is the distance between Dactyl and Ida (90 km)So, v = √( (6.67 x 10^-11 N*(m^2)/(kg^2)) * (4.5 x 10^16 kg) / (90 x 10^3 m) )
= √ ( 2.98 x 10^-5 m/s^2 )
= 0.0173 m/s
Therefore, the orbital speed of Dactyl is approximately 0.0173 meters per second.
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Marissa’s car accelerates at an average rate of 3. 6 m/s2. Calculate how long it takes her car to accelerate from 26. 4 m/s to 28. 6 m/s
It will take 1.5 seconds for Marissa's car to accelerate from 26. 4 m/s to 28. 6 m/s.
Acceleration can be calculated by looking at the change in velocity over a specific period of time. It is an important concept in physics as it is used to explain the motion of objects in the real world.
Acceleration is a measure of how quickly an object is changing its velocity on average, and it is usually expressed in meters per second squared (m/s2).
This simple calculation of Marissa's car acceleration can be determined by using the formula: Delta speed / Acceleration rate = Time taken.
In this case, that would be 2.2 m/s (28.6-26.4) / 3.6 m/s2
= 0.6 s or 1.5 sec (rounded up).
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How are stage and film versions of a drama similar the viewer must infer the mood from the lighting and sound effects?
Stage and film versions of a drama are similar in that the audience must use context clues such as lighting, sound effects, and dialogue to infer the mood of a scene. This requires the audience to pay attention to the details of the performance, as subtle changes in these elements can drastically change the overall tone of the production.
The main difference between a stage and film version of a drama is that a stage production relies heavily on the physicality of the actors and their interactions with one another, while a film production relies heavily on the technical aspects such as camera angles, lighting, and sound design. Additionally, a stage production is performed live in front of an audience, while a film is created in a studio and viewed later by an audience.
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If petroleum used by a power generator is 50 percent efficient and the lines that carry the electricity to a light are 25 percent efficient, what is the energy efficiency of converting the oil into the light
The energy efficiency of converting the oil into the light can be calculated by multiplying the efficiencies of each step in the process.
Calculation-Efficiency = (0.50) * (0.25) = 0.125 or 12.5%
So the energy efficiency of converting petroleum oil into the light is 12.5%. This means that only 12.5% of the energy in the oil is converted into usable light. The rest is lost as heat or other forms of energy during the process.
How effective is the process of turning oil into light overall?How effective is the process of turning oil into light overall? Chemical energy equivalent to 6,000 MJ is found in one barrel of crude oil. An oil-burning power plant can produce 2,000 MJ of energy from a single barrel of crude oil.
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How long does it take a plane, traveling at a constant speed of 130 m/s, to fly once around a circle whose radius is 2650 m
51.6 seconds long does it take a plane, traveling at a constant speed of 130 m/s, to fly once around a circle whose radius is 2650 m.
The time it takes for an object to travel once around a circle of radius r at a constant speed v can be found using the equation:
T = 2 x π x r ÷ v
where T is the time in seconds, pi is approximately 3.14, r is the radius of the circle in meters, and v is the speed of the object in meters per second.
Given a constant speed of 130 m/s and a radius of 2650 m, the time it would take for a plane to fly once around the circle would be:
T = 2 x π x 2650 m / 130 m/s
T = 51.6 sec
So, it would take approximately 51.6 seconds for a plane traveling at a constant speed of 130 m/s to fly once around a circle whose radius is 2650 m.
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In a comic book, Superman carries a bus (with a bomb on board) up into the air, hovers for a second and then
throws the bus over the horizon while he stays hovering. How does this situation break the law of conservation
of momentum? What should have happened instead? Why?
This situation breaks Newton's Second Law of motion which states that for every action there is an equal and opposite reaction.
It could have been ideal if the force exerted on the bus by superman should also be exerted on superman by the bus because if we use the equation F=m*a, since superman's mass is so much less than the mass of the bus, he should experience a much higher acceleration than the bus does.
What is the second law ?Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body and it states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
Newton’s second law is one of the most important in all of physics. For a body whose mass m is constant, it can be written in the form F = ma, where F (force) and a (acceleration) are both vector quantities.
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A student gathered two boxes of the same size made of different materials: glass and clear plastic. She placed them on a windowsill in the sun for an hour, and then measured the temperature of the air in each box. What is the temperature of the air in this experiment
According to the given statement The temperature of the air in this experiment is dependent variable.
What do you mean by a material?Material refers to a thing that something else is made out of. Material can also refer to cloth or can be used to describe something that is made of matter and exists in the physical world. Material has many other senses as a noun and an adjective.
What is an example of a material?A material is any substance that an object is made from. Glass, chalk, paper, wax, water, air, clay and plastic are all different materials. All materials are made up of matter.
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two blocks are connected by a string of negligible mass that passes over massless pulleys
If two blocks are connected by a string of negligible mass that passes over massless pulleys, the system can be analyzed using the principles of Newton's second law and the conservation of energy.
What is Newton's second law? In this scenario, the net force acting on each block is the tension in the string, which is equal in magnitude for both blocks. Therefore, if the blocks have different masses, they will have different accelerations. In this scenario, the mechanical energy of the system is the sum of the gravitational potential energy and the kinetic energy of the blocks. If the pulleys are massless and frictionless, then the mechanical energy of the system will be conserved.In summary, the two blocks will move together with the same acceleration if the pulleys are massless and frictionless.To learn more about newtons second law refer:
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A sports car of mass m has the same kinetic energy as an SUV with a mass 3m as each is driven along the same road. Which vehicle, if either, has the largest momentum and what is the difference in their momenta, if any? Express your result as a percentage.
a. The car has about 42% greater momentum than the SUV.
b. The car has about 33% greater momentum than the SUV.
c. The SUV has about 73% greater momentum than the car.
d. Since their kinetic energies are the same, their momenta are the same. The difference is zero percent.
e. The SUV has about 66% greater momentum than the car
Option (a) is correct- The car has about 42% greater momentum than the SUV.
What is momentum ?
As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.
What is mass?
Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.
Therefore, Option (a) is correct- The car has about 42% greater momentum than the SUV.
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if the bat and softball are in contact for 0.80m/s, what is the average force that the bat exerts on the ball
The changes in the momentum of the ball and the time over which that change occurs. The formula for average force is: average force = change in momentum/time.
Calculation-Given: The ball's mass is 0.144 kilogram.
speed v = 38 m/s, shift in momentum presently
P = m v- ( - mv) ( - mv)= 2 mv
=2 x (0.144) x (38) (38)
= 10.944 kg-m/s
t Impulse J=F.
The impulse is equivalent to the change in momentum.
J = 10.944 kg-m/s
What forces are at play when a baseball bat strikes a fastball?Think about how a baseball bat and a ball interact, for instance. The bat forces the ball to the right while the baseball forces the bat to the left. The action-reaction force pair is made up of these two forces acting on two different objects combined.
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Pitch a baseball horizontally at 38.0 m/s weighing 0.144 kg. The baseball moves in the opposite direction and at the same speed after being struck by the bat. What is the ball's change in momentum? What kind of impetus does the bat deliver? What was the average force the bat applied to the ball during the 0.80 milliseconds that they were in contact?
Roller Coaster Physics Gizmo
With no friction, you can use the relationship between potential and kinetic energy to predict the speed of the car at the bottom of this hill from its starting height. To do this start by setting the kinetic and potential energy equations equal to one another. K= U
1/2mv^2 = mhm
a. Use algebra to solver for the speed. V=
b. With the no friction, does the final speed depend on the mass of the car?
c. With no friction, does the final speed depend on the steepness of the hill?
d. What is the final speed of the car if the height of the hill is 55 cm (. 55m)?
A) Using algebra, the required speed V=(2gh)1/2
B) With the no friction, the final speed does not depend on the mass of the car.
C) With no friction, the final speed does depend on the steepness of the hill.
D) The final speed of the car if the height of the hill is 55 cm is 3.569 m/s.
Given that there is no friction considered. Thus, the total energy of the system can be considered as conserved.
Thus, sum of kinetic and potential energy will be constant.
K = U
mu 2 = mgh ......................................(1)
m = mass of object
v = speed of object
g = acceleration due to gravity = 9.8 m/s2
h = height of object with respect to a reference position
Thus for an object at a height from ground, will have its potential energy converted to kinetic energy during it's descent.
(A) from (1)
mv2 = 2mgh
Thus, v2 = 2gh
v = (2gh)1/2
this, is the velocity of an object from conservation of energy.
(B) with no friction, the enrgy is taken to be conserved. from the answer of (A), we know,
v = (2gh)1/2.
clearly this equation doesn't depend on mass.
thus, final speed doesn't depend on the mass.
(C) Given height of hill , h = 65cm = 0.65 m
from (1), v = (2gh)1/2.
the potential energy of car at the hill top = mgh
this potential energy gets entirely converted to kinetic energy at the bottom of hill due to conservation of energy. Thus
v = (2 x 9.8 x 0.65)1/2
= 3.569 m/s
Thus, the final velocity of the car is 3.569 m/s
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What is the relationship between torque and force lever arm length?
Torque is produced by multiplying the length of a lever arm by the force acting perpendicular to the lever arm. There are two conceivable orientations for the scalar quantity torque: clockwise and anticlockwise.
What is the result of the force times the lever arm?A torque is created when a force is applied perpendicular to a lever arm. The lever arm or moment arm is the length that extends perpendicularly from the pivot point, or the centre of rotation, to the point at which the force is applied. A torque is always defined with reference to a pivot point.
How can torque be multiplied?A torque multiplier multiplies the torque applied to the bolt with each gearing level. For instance, a 5:1 torque multiplier will result in an output.For example, a torque multiplier with a 5:1 ratio will result in an output at the shaft that is five times the torque, but the speed will only be one fifth of the original since no energy can be created.
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A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
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Determine the quantity of charge on a plastic tube which has been rubbed with animal fur and gained 3. 8 x 10^9 electrons
The quantity of charge on a plastic tube that has been rubbed with animal fur and gained 3. 8 x 10^9 electrons is The quantity of charge on the plastic tube is 3.8 x 10^9 electrons.
The quantity of charge on the plastic tube is 3.8 x 10^9 electrons. To calculate this value, we can use the equation q = n*e, where q is the charge, n is the number of electrons and e is the elementary charge (1.6 x 10^-19 C). Substituting in the values given, we get q = 3.8 x 10^9 * 1.6 x 10^-19 = 6.08 x 10^-10 C. This means that the plastic tube has gained a charge of 6.08 x 10^-10 Coulombs, which is equivalent to 3.8 x 10^9 electrons.
This can be explained by the process of triboelectricity, which is the transfer of electrons between two materials due to rubbing them together. In this case, the animal fur must have had a higher electron affinity than the plastic, which caused electrons to be transferred from the fur to the plastic tube.
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According to table 1, which of the following materials is the poorest electrical conductor?
(A) Copper
(B) Aluminum
(C) Graphite
(D) Brass
Graphite: according to table 1, which of the following materials is the poorest electrical conductor.
What is conductor?
Conductor is an electrical device or material that is capable of allowing electric current to flow through it. It is used in a variety of applications ranging from wiring in buildings to the transmission of electricity over large distances.
Conductors are typically made from metals, such as copper and aluminum, but certain types of materials, such as semiconductors, can also act as conductors.
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Taylor's car broke down and he exerted a force of 8,000 newtons trying to push it before giving up and calling the tow truck. How much work did he accomplish
He accomplished no job. When Taylor's car broke down, he attempted to push it with 8,000 newtons of force before giving up and calling a tow truck.
The amount that indicates how many times a machine multiplies a force is known as what?The mechanical advantage is how many times a machine can multiply the force of the effort. The mechanical advantage of the machine increases when the effort force is exerted across a bigger distance.
Please describe force multiplier machines and provide two instances.Force multipliers are tools that lessen the force required to move an object. Force multipliers come in handy when lifting heavy objects or performing other actions that call for a lot of force.
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Your twin sister (who has the same weight as you) and you decided to go up to a very tall building. You take the elevator straight up. Your twin sister decide to walk up the spiral stairway. Compare the gravitational potential energy of you and your sister, after you both reach the top. assuming that you and your friend have equal masses.
Both of you have the same amount of potential energy since your masses are the same.
Define potential energy?In physics, potential energy is the power that a substance retains as a result of its position in respect to other things, internal pressures, electric charge, or other substances. Potential energy is a type of stored energy that depends on the interactions of various system elements.
The potential energy of a spring rises when it is crushed or stretched. The potential energy of a steel ball increases if it is raised above the ground as opposed to falling to it. Potential energy is the name for the energy that exists in everything that is raised from rest and can be released at a later time.
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What is the battery current I_bat when the switch in the figure (Figure 1) is open?
I bat = ___
The battery current is I=9.14A
As per the details share in the above question are as bellow,
The details provided are,
Let us suppose that the current I is flowing through the battery.
The resistor are connected in parallel. i.e
[tex]$3 \Omega$[/tex] and [tex]$5 \Omega$[/tex].
Hence,
[tex]3 \Omega \| 5 \Omega & =\frac{3 \Omega \times 5 \Omega}{3 \Omega+5 \Omega}[/tex]
Further solving it we get,
[tex]& =\frac{15}{8} \Omega[/tex]
The resistor are connected in parallel. i.e
[tex]$3 \Omega$[/tex] and [tex]$1 \Omega$[/tex] .
Hence,
[tex]3 \Omega \| 1 \Omega & =\frac{3 \Omega \times 1 \Omega}{3 \Omega+1 \Omega}[/tex]
Further solving it we get,
[tex]& =\frac{3}{4} \Omega[/tex]
The series sum of the total equivalent resistance is [tex]\frac{15}{8}[/tex]Ωand [tex]$\frac{3}{4} \Omega$[/tex] resistors.
[tex]R_{e q} & =\frac{15}{8} \Omega+\frac{3}{4} \Omega \\[/tex]
Adding the rational number we get,
[tex]& =\frac{15+6}{8}[/tex]
Further solving it we get,
[tex]& =\frac{21}{8} \Omega[/tex]
Identify the battery current value.
[tex]& \mathrm{I}=\frac{V}{R_{e q}}[/tex]
Substitute the value in above equation we get,
[tex]& \mathrm{I}=\frac{24}{\left(\frac{21}{8}\right)}[/tex]
Further solving it we get,
I=9.14A
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Note: The diagram of the question is added bellow,
Based on the age of the light- and dark-colored regions of the Moon and the number of craters observed in these regions, we know that impacts in the inner Solar System:
Based on the age of the light- and dark-colored regions of the Moon and the number of craters observed in these regions, we know that impacts in the inner Solar System rapidly decreased approximately 3 billion years ago.
The light-colored areas of the Moon's surface are roughly 1 billion years older than the dark-colored regions.
The dark patches are basalt-based juvenile plains known as maria. The basalt poured in and inundated the region left by a massive asteroid or comet collision. The bright regions are the highlands, which are raised mountains caused by impacts.
The light-colored material is found in portions of the Moon known as the highlands, which represent the Moon's oldest crust.
The lunar highlands are the earliest lunar features. This is mostly determined by the amount of impact craters found in various locations of the moon.
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7.) A 72 kg skier is beginning to ski down a slope starting 90 meters high. There is an issue, the skier did
not see a curb in the slope and did not realize they were going to hit a wall at the bottom of the slope. It
was observed by a nearby instrument that when the skier collided with the wall of snow there was 64 J
of sound energy given off. The rest of the kinetic energy was converted to heat energy, what was the
amount of kinetic energy converting to heat from the collision?
The total energy of the skier at the beginning of the slope is 63360 J.
What is total energy?Total energy is the sum of all the energies of a system, including thermal, mechanical, electrical, and chemical. It is the measure of the capacity of a system to do work. It can be expressed as the product of the mass of the system and its velocity squared.
The kinetic energy of the skier at the beginning of the slope is given by the equation KE = .5mv^2, where m is the mass of the skier (in kilograms) and v is the velocity of the skier (in meters per second).
The kinetic energy at the beginning of the slope is (0.5)(72kg)(0m/s)^2 = 0 J. Since the skier was 90 meters high, we can assume a gravitational potential energy of (90m)(9.8m/s^2)(72kg) = 63360 J.
Therefore, the total energy of the skier at the beginning of the slope is 63360 J.
At the end of the slope, the skier converts the energy into sound and heat energy. The sound energy of 64 J is given. Therefore, the heat energy must be 63360 - 64 = 63296 J. This is the amount of energy converted to heat energy from the collision.
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