2D Kinematics deals with the motion of objects in two dimensions, typically represented by the x and y axes. It involves analyzing the position, velocity, and acceleration of objects as they move in a plane.
How to explain the informationGravity is the force of attraction between two objects with mass Orbital motion occurs when an object, such as a planet or a satellite, moves around another object under the influence of gravity.
Torque is a measure of the rotational force applied to an object. It depends on the force applied and the lever arm, which is the perpendicular distance from the axis of rotation to the point of application of the force. Rotational energy refers to the energy associated with an object's rotation. It depends on the moment of inertia and angular velocity of the object.
The Doppler Effect describes the change in frequency or wavelength of a wave as observed by an observer moving relative to the source of the wave. It explains phenomena such as the change in pitch of a siren as a vehicle approaches and then moves away from an observer. Snell's Law describes the behavior of light as it passes through the interface between two different media. It relates the angle of incidence and the angle of refraction of light rays at the boundary, taking into account the refractive indices of the media.
Lenses and mirrors are optical devices that manipulate the path of light. Lenses are transparent objects with curved surfaces that can converge or diverge light rays, leading to the formation of real or virtual images. Mirrors, on the other hand, reflect light and can create images through reflection.
An electric field is a region around an electrically charged object where a force is exerted on other charged objects. It is a vector field, meaning it has both magnitude and direction.
Resistors are components in electrical circuits that impede the flow of electric current. They are designed to have a specific resistance value and can be used to control the amount of current in a circuit.
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how much heat energy must be added to a 6.0-cm-diameter copper sphere to raise its temperature from -50 c to 150 c?
The amount of heat energy required to raise the temperature of a 6.0-cm-diameter copper sphere from -50°C to 150°C is 7.8 kJ.
Given:Radius (r) = 3 cm, Diameter = 6 cm, Temperature T1 = -50°C, Temperature T2 = 150°C
Now we have to find the amount of heat energy required to raise the temperature from T1 to T2.To find out the amount of heat energy, we will use the following formula:
Q = m × C × ΔT
where
Q = heat energy in Joules, m = mass of the copper sphere in kg, C = specific heat capacity of copper, ΔT = change in temperature
ΔT = T2 - T1= 150°C - (-50°C) = 200°C
The specific heat capacity of copper is 0.385 J/g°C or 385 J/kg°C.
We need to convert the radius to meters and mass to kg. Density of copper is 8.96 g/cm³.
Let's apply this conversion:
Volume of the sphere= 4/3πr³= 4/3 × 3.14 × (0.03 m)³= 1.13 × 10⁻⁴ m³
Density of copper = mass / volume mass of copper = volume × density= 1.13 × 10⁻⁴ m³ × 8.96 × 10³ kg/m³= 1.01 × 10⁻¹ kg
Therefore,
Q = m × C × ΔT= 1.01 × 10⁻¹ kg × 385 J/kg°C × 200°C= 7.8 × 10³ J or 7.8 kJ
Hence, the amount of heat energy required to raise the temperature of a 6.0-cm-diameter copper sphere from -50°C to 150°C is 7.8 kJ.
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On a sky coaster (human pendulum) that reaches 20 meters from it's equilibrium position, a man of 70 kg is able to reach a maximum speed of
Answer:
Explanation:
Using the principle of conservation of energy, the potential energy is converted to kinetic energy, assuming any losses.
Kinetic energy is given by ½mv²
Potential energy is given by mgh
Where m is the mass, v is the velocity, g is acceleration due to gravity and h is the height.
Equating kinetic energy to be equal to potential energy then
½mv²=mgh
V
Making v the subject of the formula
v=√(2gh)
Substituting 9.81 m/s² for g and 20 m for h then
v=√(2*9.81*20)=19.799 m/s
Rounding off, v is approximately 20 m/s
Answer:
19.8 m/s
Explanation:
During the motion of a pemdulum bob, it casually converts kinetic energy to potential energy and vice versa.
A pendulum bob reaches its maximum speed at a position closest to its equilibrium position and has its lowest when it is farthest from the equilibrium position.
The maximum speed of a pendulum bob based on the mass involved and the maximum displacement from the equilibrium position is obtained from
Maximum kinetic energy = Maximum potential energy
Maximum potential energy occurs at the farthest point from equilibrium, that is,
P.E(max) = mgh
Maximum kinetic energy = ½mv²
½mv² = mgh
v = √2gh
g = acceleration due to gravity = 9.8 m/s²
h = farthest height from equilibrium position = 20 m
v = √(2×9.8×20) = 19.8 m/s
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Help Plsss
Which of the following objects are subject to the law of universal gravitation? (circle all that apply)
a. Satellites
b. Water
c. Frogs
d. Stars
Tim jogs a distance of 7.2 km to the west. Then he turns south and jogs 1.4 km. West is the resultant if Tim's jog back to the beginning?
Answer:
Explanation:
If Tim jogs a distance of 7.2 km to the west and then he turns south and jogs 1.4 km, the resultant displacement of Tim is calculated using the pythagoras theorem as shown;
R² = 7.2²+1.4²
R² = 51.84+1.96
R² = 53.8
R = √53.8
R = 7.33 km
Hence the resultant of Tim's jog back to the beginning is 7.33km
A 10 kg wagon is accelerated by a constant force of 60 N from an initial velocity of 5.0 m/s to a final velocity of 11 m/s. What is the impulse received by the wagon? a)15 N s b)60 N s c)17 N s d)70 N s
Determine the present value of the following single amounts (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1)
FV= $20,000 I=7% N=10 PV= ?
FV= $14,000 I=8% N=12 PV= ?
FV= $25,000 I=12% N=20 PV= ?
FV= $40,000 I=10% N=8 PV= ?
The present value of the following single amounts are as follows;
PV for FV = $20,000, I =7%, N =10 years is $10,155.84
PV for FV = $14,000, I =8%, N =12 years is $4,489.92
PV for FV = $25,000, I =12%, N =20 years is $2,590.11
PV for FV = $40,000, I =10%, N =8 years is $18,520.89.
Future value (FV) =$20,000,
Interest rate (I) =7%,Time (n) = 10 years
The present value (PV) can be calculated as follows;
PV = FV / (1 + i)n = 20000 / (1 + 0.07)10PV = 20000 / 1.96715PV = $10,155.84
Future value (FV) =$14,000,
Interest rate (I) =8%,
Time (n) = 12 years
The present value (PV) can be calculated as follows;
PV = FV / (1 + i)n = 14000 / (1 + 0.08)12PV = 14000 / 3.12159PV = $4,489.92
Future value (FV) =$25,000,
Interest rate (I) =12%,Time (n) = 20 years
The present value (PV) can be calculated as follows;
PV = FV / (1 + i)n = 25000 / (1 + 0.12)20PV = 25000 / 9.64632PV = $2,590.11
Future value (FV) =$40,000,Interest rate (I) =10%,Time (n) = 8 years
The present value (PV) can be calculated as follows;
PV = FV / (1 + i)n = 40000 / (1 + 0.1)8PV = 40000 / 2.15893PV = $18,520.89
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Jimmy is cooking pasta in a pot of water on the stove. He uses a stopwatch to see how long the pasta takes to cook depending on the temperature of the water in the pot. What is the independent variable and why?
Answer:
stove
Explanation:
The stove is the independent variable in this question as it does not depend on anything like other variables such as pot, water, temperature and of cause pasta.
The pot depends on the stove, the water depends on the pot and stove, the pasta depends on the water and its temperature.
Cheers.
What is the radius of an orbit of a satellite that orbits Jupiter once every 16.7 hours? The mass of Jupiter is 1.90x10^27 kg.
The radius of an orbit of a satellite that orbits Jupiter once every 16.7 hours is approximately 2.67 x 10^5 meters.
We'll use the following terms in our calculations: orbital period (T), gravitational constant (G), mass of Jupiter (M), and the radius of the orbit (r).
First, convert the orbital period (T) to seconds:
T = 16.7 hours * (3600 seconds/hour) = 60,120 seconds
Next, use the gravitational constant (G):
G = 6.674 × 10^(-11) m³ kg^(-1) s^(-2)
Recall the mass of Jupiter (M):
M = 1.90 x 10^27 kg
Use Kepler's Third Law to find the semi-major axis of the orbit (a), which is approximately equal to the radius (r) for a circular orbit:
T² = (4π² / GM) * r³
Solve for r:
r³ = (T² * GM) / (4π²)
r³ = (60,120² * 6.674 × 10^(-11) * 1.90 x 10^27) / (4π²)
r³ = 1.898 × 10^16 m³
Finally, find the cube root of r³ to get r:
r = (1.898 × 10^16)^(1/3)
r ≈ 2.67 x 10^5 m
The radius of the satellite's orbit around Jupiter is approximately 2.67 x 10^5 meters.
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two point masses m and m are separated by a distance d. if the separation d remains fixed and the masses are increased to the values 3m and 3m respectively, how does the gravitational force between them change?
When the masses of two point masses increase while the distance between them remains constant, the gravitational force between them increases proportionally to the square of the increase in mass.
What is gravitational force?
Gravitational force is the force of attraction between two masses. It is one of the four fundamental forces of nature and is responsible for the motion of celestial bodies, such as planets and stars, as well as the behavior of objects on the surface of the Earth.
The force of gravity between two masses can be described by Newton's law of universal gravitation, which states that every particle in the universe attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of the distance between them.
The formula for the gravitational force is given by Newton's law of universal gravitation:
F = G * (m1 * m2) / d^2
where:
F is the gravitational force between two masses
G is the gravitational constant (G = 6.67 x 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
d is the distance between the centers of the two masses.
CalculationThe gravitational force between two point masses is given by the formula:
\(F = G * (m1 * m2) / d^2\)
where G is the gravitational constant and m1 and m2 are the masses of the two objects.
If the masses of the two point masses are increased from m to 3m, then the new formula for the gravitational force becomes:
\(F' = G * (3m * 3m) / d^2 = 9 * (G * (m * m) / d^2)\)
Thus, the gravitational force between the two point masses is increased by a factor of 9 when the masses are increased to 3m.
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If an engine equipped with a float-type carburetor backfires or misses when the throttle is advanced, a likely cause is that the
If an engine equipped with a float-type carburetor backfires or misses when the throttle is advanced, a likely cause is that the carburetor's fuel mixture is too lean.
The carburetor is responsible for mixing air and fuel in the right proportions before it enters the engine's combustion chamber. When the throttle is advanced, more air and fuel are required for proper combustion. If the carburetor's fuel mixture is too lean, meaning there is an insufficient amount of fuel relative to the amount of air, it can result in backfiring or engine misfires.
A lean fuel mixture can be caused by a few factors. One possibility is that the fuel jets or passages in the carburetor are clogged or restricted, preventing an adequate flow of fuel. Another potential cause is an improperly adjusted carburetor, where the fuel-air mixture screw or idle speed adjustment may need to be adjusted to achieve the correct ratio.
When the fuel mixture is too lean, there is not enough fuel available for combustion, leading to incomplete burning and potentially causing the engine to backfire or misfire. In such cases, it is recommended to inspect and clean the carburetor, ensuring that the fuel jets and passages are clear. Adjusting the carburetor settings according to the manufacturer's specifications can also help achieve the correct fuel-air mixture, resolving the issue of backfiring or missing when the throttle is advanced.
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a ball is dropped from a height of 10 m. what is its velocity upon impact with the ground? a) 14 m/sb) 20 m/sc) 10 m/sd) 8 m/s
A ball is dropped from a height of 10 m. Its velocity upon impact with the ground is (v) = (a) 14 m/s.
What is velocity?Velocity is a term that means that the object has changed its position by making a distance in a given time. That called the velocity of the object. It can be measured in m/s, cm/s.
How can we calculate the velocity?To calculate the velocity we are using the formula,
v²-u²=2gh
As we know the ball start velocity from rest so, u=0
v²=2gh
Or, v=√2gh
Here we are given,
h= the height of the cliff from the ball fell. = 10m.
g= The acceleration due to gravity. = 9.8 m/s².
We have to calculate the velocity of the ball = v m/s.
Now we put the values in above equation, we get
v=√2gh
Or, v= √2*9.8*10
Or, v= 14 m/s.
So from this we can say that, Its velocity upon impact with the ground is (v) = (a) 14 m/s
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imagine you live in a town near the foot of a volcano. what indicators might you look for to predict when the volcano might erupt?
Answer:
i don't really know the exact answer but i would say something like earthquakes or steam/excessive heat
Explanation:
a receiver in a football game is standing still, having just caught a pass. before he can move, a tackler, running at a velocity of 4.0 m/s, grabs him. the tackler holds onto the receiver, and the two move off together with a velocity of 3 m/s. the mass of the tackler is 100 kg. assuming that momentum is conserved, find the mass of the receiver.
According to the law of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision.
Let's assume the mass of the receiver is denoted as "m" (in kg).
Before the collision:
Momentum of the tackler (p1) = mass of the tackler (m1) * velocity of the tackler (v1)
Momentum of the receiver (p2) = mass of the receiver (m) * velocity of the receiver (0, as the receiver is standing still)
After the collision:
Total momentum = momentum of the tackler + momentum of the receiver
The total momentum after the collision is:
Total momentum = (mass of the tackler + mass of the receiver) * velocity after the collision (3 m/s)
Since momentum is conserved, we can equate the total momentum before and after the collision:
p1 + p2 = (m1 * v1) + (m * 0) = (m1 * v1) = (m1 + m) * 3
Simplifying the equation, we get:
m1 * v1 = m1 * 3 + m * 3
m1 * v1 = 3 * (m1 + m)
Now we can substitute the given values into the equation. Given:
m1 = 100 kg
v1 = 4.0 m/s
Substituting the values, we have:
100 * 4.0 = 3 * (100 + m)
Simplifying the equation:
400 = 300 + 3m
3m = 100
m = 100 / 3 ≈ 33.33 kg
Therefore, the mass of the receiver is approximately 33.33 kg.
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the allowed shapes for orbits under the force of gravity are
developing a criterion for judging the effectiveness of a solution occurs during which step of the problem-solving process?
Developing a criterion for judging the effectiveness of a solution occurs during the step of evaluating solutions in the problem-solving process.
Problem-solving is the method of determining a problem's root cause and developing and executing an effective solution. Problem-solving is a critical skill for anyone to have in both their personal and professional lives. The problem-solving process entails the following steps:
1. Identifying and defining the problem
2. Gathering information
3. Developing potential solutions
4. Evaluating alternatives
5. Selecting the best solution
6. Planning and executing the solution
7. Monitoring the solution
You can follow these steps in any order. However, most successful problem-solving approaches are iterative, which means they go back and forth between steps until the best solution is found.
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A positive test charge of 5.0x10 -6 C is in an electric field that exerts a force of 2.0x10 -4 N on it. What is the magnitude of the electric field at the location of the test charge
answer:
click on the picture, hope it helps
The magnitude of the electric field at that location is is 40 N.C⁻¹.
What is electric field?The force per unit charge exerted on a positive test charge that is at rest at a given position is the force per unit charge that is used to define the electric field analytically.
Electric charge or magnetic fields with variable amplitudes can produce an electric field.
Given parameters:
Charge of the positive test charge, q = 5.0x10⁻⁶ C.
Electric force exerted by the electric field, F = 2.0x10⁻⁴ N.
Then, electric field at the position, E = F/q
= 2.0x10⁻⁴ / 5.0x10⁻⁶ N.C⁻¹.
= 40 N.C⁻¹.
Hence, the magnitude of the electric field at the location of the test charge is 40 N.C⁻¹.
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5. The speed of a car is 15m/s. Its speed in km/h is *
Answer:
54 Km per hour..
Explanation:
Multiply the speed value by 3.6
Si: A + B = C – D es una ecuación física donde A, B, C y D son magnitudes físicas entonces [ A ] = [ B ] = [ C ] = [ D ]
Answer:
\([A] = [B] = [C] = [D]\) por el Principio de Homogeneidad Dimensional y el uso de operaciones de adición y sustracción.
Explanation:
Por el Principio de Homogeneidad Dimensional, A, B, C y D deben tener las mismas magnitudes físicas para la realización de operaciones de adición y sustracción. Es decir:
\([A] + [B] = [C] - [D]\), donde \([A] = [B] = [C] = [D]\)
Q.6 Explain conceot of magnetization
Answer:
Magnetization is the density of magnetic dipole moments that are induced in a magnetic material when it is placed near a magnet. ... Magnetization is also known as magnet polarization.
What happens to electrons in an iron object when the object is magnetized? Magnetizing an object causes its electrons to split up so that their motions are all in different directions Magnetizing an object causes its electrons to scatter so that their motions are random. Magnetizing an object causes its electrons to line up so that their motions are all in the same direction
Answer:
Explanation:
Magnetization causes the electrons to line up. The things that line up are the "spins" that they inherently have. When an object is magnetized, the magnetic dipoles of the electrons try their best to align with the external magnetic field. The reason they align is because each and every dipole experiences a torque from the magnetic force acting on the electrons. Torque is the same force that is used to rotate a door around an axis.
if a salt is added to water, which of the following is likely to occur?group of answer choicesthe boiling point will increase and the freezing point will decreasethe boiling point will decrease and the freezing point will decreasethe boiling point will decrease and the freezing point will increasethe boiling point will increase and the freezing point will increase
In contrast to the fact that the chemical species in salt solution (hydrated sodium and chlorine ions) differ from those in solid salt, the dissolution of salt in water is typically seen as a physical change.
The presence of soluble salts raises the boiling point of water because sodium chloride dissolves into sodium and chlorine ions, making salt a non-volatile solute that is responsible for this effect. Because salt has a positive and a negative side, making it polar, and because water is also polar and polar molecules are attracted to other polar molecules, when salt is immersed in water, its atoms begin to separate from one another, causing the molecule to rip apart.
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Ignoring the sign, which has a greater magnitude of charge?.
Answer:
the car
Explanation:
how many joules and kilocalories are generated when the brakes are used to bring a 1000 kg car to rest from a speed of 91 km/h ? express your answer using two significant figures. enter your answers numerically separated by a comma.
To bring a car of 1000kg to rest from a speed of 91Km/hr, we need 4140500J and 985.833Kilocalorie.
So, we are given that final velocity of the car is zero and initial velocity of car is 91Km/hr. We know that there is relation between the work done and kinetic energy.
According to work-energy equation, we know that
Work done=change in kinetic energy
We know that kinetic energy is given by =(1/2)mv² where m is the mass and v is the velocity of the object.
Since final velocity of object is zero, therefore final kinetic energy is zero
Initial kinetic energy is =(1/2)×1000×(91)²=500×8281=4140500J
So, according to above formula
=>W=0-4140500
=>W=-4140500J
Here negative sign shows that velocity is decreasing.
To convert Joule into calorie, we know that
4.2J=1 calorie
=>4140500J=(4140500÷4.2)calorie=985833.33calorie
In Kilocalorie, it is equal to 985.833Kilocalorie.
Hence, required joules and kilocalories are 4140500 and 985.833 respectively.
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where is the centre of mass of a system of two particles is situated?
Answer:
In a two particle system, the center of mass lies on the center of the line joining the two particles.
Which is a unit of length in the International System of units?
O A inch
B. foot
C. millimeter
D. mile
Answer:
c
Explanation:
a 0.6 kg squirrel falling at 14 m/s hits in a pile of leaves and comes to rest in 2 s. find the normal force of the leaves on the squirrel as it comes to rest.
If a 0.6 kg squirrel falling at 14 m/s hits a pile of leaves and comes to rest in 2 s , the normal force of the leaves on the squirrel as it comes to rest would be 4.2 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem a 0.6 kg squirrel falling at 14 m/s hits in a pile of leaves and comes to rest in 2 s.
The change in the moment of the squirrel = 0.6 × 14
=8.4 Kg - m/s
The normal force = rate of the change of the momentum
= 8.4 / 2
= 4.2 Newtons
Thus, the normal force of the leaves on the squirrel as it comes to rest would be 4.2 Newtons.
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a force a. is expressed in newtons. b. can cause an object to speed up, slow down, or change direction. c. is a push or a pull. d. all of the above
Answer: D
Explanation:
All of the options are correct
which physical property of matter depends on push
Answer:
I would say contact forces
Explanation:
This questions is kind of missing some info but I do know that contact forces need to be either pushed or pulled for a force to happen.
Hope this helped
What is the mass and weight of an object on the surface of the moon, if on the earth its mass is 12kg.
The mass and weight of object on moon is 0.0138kg and 0.0229kg .
Since force is a vector quantity, we must consider the direction in which it acts. There are two main types of frictional force: static force (Fst) and sliding force (Fsl). Normal forces (FN) produce these forces acting perpendicular to the direction of motion, although they act in the opposite direction to the object's motion.
It is equivalent to the weight of the object plus the extra weight. For example, pushing down on a block of wood on a table increases the normal force and thus the frictional force.
me=12Kg
ge=10
gm=10/6= 1.66
M=?
me ge =M gm
M=me ge/gm
M=120/1.66
M=0.0138kg
W=mg =0.0138 x 10kg
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Find the average acceleration of a northbound subway train that slows down from 12 m/s to 9.6 m/s in 0.8 seconds.
Answer:
\(a=-3\ m/s^2\)
Explanation:
Given that,
Initial speed of a train, u = 12 m/s
Final speed of a train, v = 9.6 m/s
Time taken, t = 0.8 s
We need to find the average acceleration of the train. We know that the rate of change of velocity is equal to acceleration. So,
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{9.6-12}{0.8}\\\\a=-3\ m/s^2\)
So, the average acceleration of the train is equal to \(-3\ m/s^2\).