According to the given statement The dimension of a, b and c is LT⁻² , L and T.
What do we mean by dimension?She took exact measurements of the room's length, width, height, and depth in one direction (for example, the distance between the ceiling and the floor of a room). The space was unexpectedly small in all three of its dimensions. Dimensions include length, breadth, and height. One dimension is that of a line, two dimensions are those of a square, and three dimensions are those of a cube (3D).
Briefing:According to the principle of dimensional homogenity
Dimension of v = dimension of at = dimension of b/t+c
Dimension of a = \(\frac{[\mathrm{v}]}{[\mathrm{t}]}=\frac{\mathrm{LT}^{-2}}{\mathrm{~T}}=\left[\mathrm{LT}^{-2}\right]\)
Dimension of b = [v][t]=[LT −1 T]=[L]
Dimension of c = [t]=[T]
According to the given statement The dimension of a, b and c is LT⁻² , L and T.
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A janitor is pushing an 17-kg trashcan across a level floor at constant speed. The coefficient of friction between can and floor is 0.16. a) if the janitor is pushing horizontally, what is the magnitude of the force he exerts on the can? b) If he pushes at an angle of 30∘ down from the horizontal, what must the magnitude of his pushing force be to keep the can moving at constant speed?
Answer:
a) >26.7 N
b) >13.3 N
Explanation:
a) Fg = (17 kg)(9.8 m/s²) = 166.6 N
Fnormal = Fg = 166.6 N
Ff = μFn = 0.16(166.6 N) = 26.7 N
Janitor needs to push >26.7 N to overcome the Force of friction (Ff) on a horizontal floor.
b) You have to determine Fn on the object by figuring out the y-component of Fg.
Fn/Fg = sin30
Fn = sin30(166.6 N) = 83.3 N
Now you can find Ff.
Ff = μFn = 0.16(83.3 N) = 13.3 N
Janitor needs to push >13.3 N down the incline to overcome Ff
Makes sense that he has to push less down an incline.
Two people, who have the same mass, throw two different objects at the same velocity. If the first object is heavier than the second, compare the velocities gained by the two people as a result of recoil.
a. The first person will gain more velocity as a result of recoll.
b. The second person will gain more velocity as a result of recoll.
c. Both people will gain the same velocity as a result of recoll.
d. The velocity of both people will be zero as a result of recoil
Answer:
The first person will gain more velocity as a result of recoil.
Explanation:
Let us recall that from Newton's third law of motion, action and reaction are equation and opposite. A consequence of this law is the proposition that ''momentum can neither be created nor destroyed.''
Hence, when two people who have the same mass, throw two different objects at the same velocity but the first object is heavier than the second, the first object possesses greater momentum than the second object hence the first person will gain more velocity as a result of recoil.
Cite an example of an issue showing the power of Media and information to affect change? sentence pls :)
Answer:
The influence of Media and Information over elections, politics and, governance.
Explanation:
Once we used to have politicians travel to interact with citizens and meet them face to face. That is slowly fading away in place of townhalls that take place online.
Video conferencing, video calls, social media apps, and technology now make it easy to connect with a lot of people at once, across various timezones, without changing location.
Once upon a time, the Television media, Radio Media, Cable Television (all categorized as traditional media) used to be the custodian of information, hence, the chief influencers of politics and governance.
Today, the internet has made it possible for individuals or a group of people without much tech-spend to set up and garner a following that has enough power to influence governance.
Online petitions and Wikileaks, the proliferation of terrorist organizations that have strong information and technology as well as social media skills have modified forever, the way public office holders and other stakeholders involved used to look at governance.
In a high jump athletic event, the athletes are made to fall either on a cushioned bed or sand bed. Justify the statement.
Explanation?
To increase the time the athletes are made to fall either on a cushioned bed or sand bed
In order to increase the time of the athlete's fall to stop after making the jump. This decreases the rate of change of momentum and hence the force.
In a high jump athletic event, the athletes are made to fall either on a cushioned bed or sand bed to to increase the time of the athlete's fall to stop after making the jump . If the time elapsed increases , the force will decrease . Due to decreases of the rate of change of momentum , the force will decrease .
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What three forms of energy are represented when a match is lit?
Answer:
Three forms of energy when a match is being lit are potential, kinetic and thermal.
hope this helps! :)
Explanation:
Answer:
Potential Energy
Kinetic Energy
Thermal Energy
Explanation:
Why do some astronomers object to the new definition of a planet that was adopted in 2006?
A. New space missions show that Pluto is much larger than originally thought.
B. By this definition, Earth, Jupiter, and other planets should not be considered planets.
C. There was never a vote on whether to adopt the new definition or not.
D. It means that we now technically have over 100 planets.
Answer:
A. New space missions show that Pluto is much larger than originally thought.
Explanation:
The new definition of a planet that was adopted in 2006, defined planet as an object that orbits the sun, with sufficient mass to be round, not a satellite of another object, and has removed debris and small objects from the area around its orbit.
This new definition of a planet that was adopted in 2006, classified Pluto as "dwarf planet", because Pluto meets planetary criteria except that it has not cleared debris from its orbital neighborhood.
However, new Horizons spacecraft flew by Pluto in 2015, revealed that Pluto is much larger than originally thought
Therefore, the correct option is "A"
A. New space missions show that Pluto is much larger than originally thought.
Answer: it means that we now technically have over 100 planets
Explanation:
it’s not New space missions show that Pluto is much larger than originally thought!!!
A 20-Kg child is on a swing attached to 3.0 m-long chains. The child swings back and forth, swinging out to a 60-degree angle. (This is the angle that the chains make with the vertical.) What is the childs maximum speed on the swing
Answer:
v = 29.4 m / s
Explanation:
For this exercise we can use the conservation of mechanical energy
Lowest starting point.
Em₀ = K = ½ m v²
final point. Higher
\(Em_{f}\) = U = m g h
Let's use trigonometry to lock her up
cos 60 = y / L
y = L cos 60
Height is the initial length minus the length at the maximum angle
h = L - L cos 60
h = L (1- cos 60)
energy is conserved
Em₀ = Em_{f}
½ m v² = mgL (1 - cos 60)
v = 2g L (1- cos 60)
let's calculate
v² = 2 9.8 3.0 (1- cos 60)
v = 29.4 m / s
Which of the following absorbs the energy required by photosynthesis?
Answer:
There are no options, so....
Explanation:
Chlorophyll a absorbs its energy from the Violet-Blue and Reddish orange-Red wavelengths, and little from the intermediate (Green-Yellow-Orange) wavelengths.
I only need question 12 answered
A vector's length is considered to be its magnitude. A is used to represent the vector's magnitude.
A vector's magnitude can be determined in what ways?|v| =(x2 + y2) is the formula to calculate a vector's magnitude in two dimensions, where v = (x, y). From the Pythagorean theorem, this formula was obtained. In three-dimensional space, the formula to calculate a vector's magnitude is V = (x, y, z).A vector's length is considered to be its magnitude. A is used to represent the vector's magnitude. For more details on a vector's magnitude, see to its introduction. On this page, formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates are developed.To learn more about vector's length refer to:
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The angle measured anticlockwise from the +x axis can be used to find vector components as well. In that instance, the x-component and y-component, respectively, will always be cos and sin.
How do you find the x and y components of a vector given velocity?The components of velocity v x=v cos and v y=v sin, where v is the magnitude of the velocity and is its direction in relation to the horizontal, have magnitudes of v x=v cos and v y=v respectively.Fill in a and b in the formula \(|v|=a_2+b_2 | v |=a_2 + b_2\) for a vector with the values a and b. Step 2: Underly the square root first, and then simplify the square root as much as you can, to simplify the magnitude\(|v|=a_2+b_2 | v |=a_2 + b_2\). Finding the horizontal component requires multiplying the vector's magnitude by the cosine of the vector's angle, and finding the vertical component requires multiplying the vector's magnitude by the sine of the vector's angle.To learn more about vector refer to :
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PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
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2 similarities between potential energy and kinetic energy
Convert into each other and both are energy are 2 similarities between potential energy and kinetic energy .
Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.
Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.
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Which of the following is true at the point where you reach the top of your jump on a trampoline?
The mechanical energy is zero
he potential energy is at maximum
The kinetic energy and potential energy are equal.
The potential energy is zero.
The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.
What is Potential EnergyPotential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.
This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.
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PLEASE HELP
Which of the following is an example of a chemical reaction?
hydrogen peroxide and yeast are combined, producing lots of bubbles and heat
atoms of silver are bonded together to make a silver nugget
heat is applied to melt chocolate chips
red and blue paints are mixed to make purple paint
*13. Which segment of the line represents motion in a negative direction?a
In a distance time graph motion in a negative direction is represented by segments with negative slope. Then in this case the motion in a negative direction is represented by the segment BC.
IM BEGGING ILL GIVE BRAINLEST PLEASEEEEEEE HELP ME Distance and amount of charge are factors that determine which of the
following quantities?
A. Electrostatic force
B. Electric potential
C. Electric potential energy
D. All of the above
Explanation:
Distance and amount of charge are factors that determine which of the
following quantities?
D. All of the above
How much time does it take a dropped object to fall 180 m on Earth?
18 s
36 S
10 s
6s
Answer:
6s
Explanation:
Assume it is dropped from rest and the gravitational acceleration is 10
By the equation of motion under constant acceleration:
\(s=ut+\frac{1}{2} at^2\)
180 = (0)t+10(t^2)/2
t = 6 or -6 (rejected)
t = 6 s
A sinusoidal transverse wave has a wavelength of 2.80 m. It takes 0.10 s for a portion of the string at a position x to move from a maximum position of y = 0.03 m to the equilibrium position y = 0. What are the period, frequency, and wave speed of the wave?
The sinusoidal transverse wave has a period of 0.40 seconds, a frequency of 2.5 Hz, and a wave speed of 7.0 meters per second.
Exactly how sinusoidal are transverse waves?Whereas both wave types are sinusoidal, longitudinal waves oscillate parallel to the path of propagation while transverse waves oscillate perpendicular to the direction of propagation. Light and sound waves are the two types of transverse waves that are most frequently encountered.
What does a sine wave motion look like?The most natural way to depict how many things in nature change state is with a sine wave or sinusoidal wave. The amplitude of a variable can be visualized changing over time using a sine wave. Sound that can be heard might be the variable.
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Potential difference of a battery is 2.2 V when it is connected
across a resistance of 5 ohm, if suddenly the potential difference
falls to 1.8V, its internal resistance will be
Answer:
1.1ohms
Explanation:
According to ohms law E = IR
If potential difference of a battery is 2.2 V when it is connected across a resistance of 5 ohm and if suddenly the voltage Falls to 1.8V then the current in the 5ohms resistor I = V/R = 1.8/5
I = 0.36A (This will be the load current).
Before we can calculate the value of the internal resistance, we need to know the voltage drop across the internal resistance.
Voltage drop = 2.2V - 1.8V = 0.4V
Then we calculate the internal resistance using ohms law.
According to the law, V = Ir
V= voltage drop
I is the load current
r = internal resistance
0.4 = 0.36r
r = 0.4/0.36
r = 1.1 ohms
A 0.20kg ball is released from rest at a height of 30cm above an ideal vertical spring. The spring has a spring constant of 25Nm, and all motion is restricted to the vertical direction. The maximum compression of the spring is most nearly:
A) 0 m
B) 0.08 m
C) 0.15 m
D) 0.22 m
E) 0.31 m
The maximum distance of the spring is nearly 0.31 m. Option (E) is correct.
Given:
Mass of the ball, m = 0.20 kg
Acceleration due to gravity, a= 9.81 m/s²
Initial height, h = 30 cm = 0.30 m
Spring constant, k = 25 Nm
The potential energy is given by:
P = mg(h+x)
P = 0.20 kg × 9.81 × (0.30 + x)
The potential energy of the spring is:
P₁= 0.5 × k × x²
P₁ = 0.5 × 25 × x²
The potential energies of the spring and ball are equal. Equating the energies:
0.20 kg × 9.81 × (0.30 + x) = 0.5 × 25 × x²
12.5x² - 1.962x - 0.5886 = 0
x = 0.31 and -0.1522
The value of x cannot be negative.
Hence, the maximum compression of the spring is nearly 0.31 m. Option (E) is correct.
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List 2 agents of physical weathering that might occur in a mountainous region.
The agents of physical weathering that might occur in a mountainous region are: Water and changes in temperature.
What kind of weathering takes place in mountains?Particularly in their settings with little soil and limited plant life, like mountainous areas and harsh deserts, physical weathering is one that do occurs.
Therefore, some Agents of weathering include water, ice, acids, salts, plants, animals, and variations in temperature. After a rock has been fractured, the fragments of rock and mineral are carried away by a process known as erosion. The forces of weathering and erosion cannot be withstood by any rock on Earth.
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Calculate the magnitude and direction of the resultant of the following forces
Answer and I will give you brainiliest
Answer:
250N same direction
Explanation:
100+150 = 250N
same direction
A particular coaxial cable is comprised of inner and outer conductors having radii 1 mm and 3 mm respectively, separated by air. The potential at the outer conductor is 1.5 kV relative to the inner conductor. What is line charge density on the positively charged conductor
Answer:
The value is \(\rho_s = 4.026 *10^{-6} \ C/m^2\)
Explanation:
From the question we are told that
The radius of the inner conductor is \(r_1 = 1 \ mm = 0.001 \ m\)
The radius of the outer conductor is \(r_2 = 3 \ mm = 0.003 \ m\)
The potential at the outer conductor is \(V = 1.5 kV = 1.5 *10^{3} \ V\)
Generally the capacitance per length of the capacitor like set up of the two conductors is
\(C= \frac{2 * \pi * \epsilon_o }{ ln [\frac{r_2}{r_1} ]}\)
Here \(\epsilon_o\) is the permitivity of free space with value \(\epsilon_o = 8.85*10^{-12} C/(V \cdot m)\)
=> \(C= \frac{2 * 3.142 * 8.85*10^{-12} }{ ln [\frac{0.003}{0.001} ]}\)
=> \(C= 50.6 *10^{-12} \ F/m\)
Generally given that the potential of the outer conductor with respect to the inner conductor is positive it then mean that the outer conductor is positively charge
Generally the line charge density of the outer conductor is mathematically represented as
\(\rho_l = C * V\)
=> \(\rho_d = 50.6*10^{-12} * 1.5*10^{3}\)
=> \(\rho_d = 7.59*10^{-8} \ C/m\)
Generally the surface charge density is mathematically represented as
\(\rho_s = \frac{\rho_l }{2 \pi * r_2 }\) here \(2 \pi r = (circumference \ of \ outer \ conductor )\)
=> \(\rho_s = \frac{7.59 *10^{-8} }{2* 3.142 * 0.003 }\)
=> \(\rho_s = 4.026 *10^{-6} \ C/m^2\)
A machine does 50 J of Work on a 10 Kg Object. What is the Change in the Objects Total Energy?
The change in the total energy of the machine is zero (0).
The given parameters:
work done by the machine, W = 50 J
mass of the object, m = 10 kg
To find:
the change in the total energy of the machineThe change in the total energy of an object is the difference between the objects initial energy due to its position and the work done on the object.
Based on work energy-theory, the work done on the machine is equal to the energy of the machine.
The energy of the machine = work-done on the machineThe change in total energy = 50 J - 50 J = 0Thus, the change in the total energy of the machine is zero (0).
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If earth squeezed to the size of moon.Calculate the weight of 100kg mass in the squeezed earth.
Answer:
833.9kg that's the answer
1. Wha' is the relationship between potential and kinetic energy?
As potential energy increases, kinetic energy increases.
b. As potential energy increases, kinetic energy decreases.
C. As potential energy decreases, kinetic energy decreases.
d. Potential and kinetic energy are two separate things and have no
relationship.
Answer:
B
Explanation:
The kinetic energy in an object is converted into potential energy. This makes the kinetic decrease, while the potential increases.
Which one of the following is the longest length?
(a) 100 m
(b) 104 µm
(c) 107 nm
(d) 102 mm
Okay, let's convert all the lengths to the same unit to compare:
(a) 100 m = 100 meters
(b) 104 μm = 104 micrometers = 104 × 10^-6 meters = 0.000104 meters
(c) 107 nm = 107 nanometers = 107 × 10^-9 meters = 0.000000000997 meters
(d) 102 mm = 102 millimeters = 102 × 10^-3 meters = 0.0102 meters
The longest length is:
(a) 100 m = 100 meters
The answer is option (a).
Answer: 100 m
Explanation:
1 μm = \(10^{-6}\) m = 0,000001 m
1 nm = \(10^{-9}\) m = 0,000000001 m
1 mm = \(10^{-3}\) m = 0,001 m
∴ 100 m es la mayor longitud
It takes a force of 150 newtons to move a 300 newton object up a ramp to a height of 3 meters. How could you reduce the amount of force needed to move an object?Select one:a. Make the ramp higher.b. Make the ramp longer.c. Make the ramp shorter.d. Lift the object without the ramp.
Explanation
Step 1
Diagram:
Step 2
the work done by an object is defined as:
the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement:
\(Work=force*distance*cos(angle)\)so,let
\(\begin{gathered} displacement\text{ =}3m \\ force=\text{ 150 N} \end{gathered}\)therefore,l to reduce the amount of force needed , we need to affect the distnace or the angle
Step 3
let's check every option
A)Make the ramp higher.
as the distnace becomes greater the force must increase too, so this is not the rigth option,in other words , a higher distnace will neeed a stronger force
B)making the ramp longer will make the angle becomes smaller, and this makes the distance becomes greater,
C) when yuo make the ramp shorter ,you will need the same force because the displacementis vertical
when the angle becomes smaller, the work will be the same, but the distnace and force, change, cos
\(\begin{gathered} Work=force*distance*cos(angle) \\ cos\text{ \lparen angle}\Rightarrow0)=1 \\ so,\text{ } \end{gathered}\)when the angle goes to 0° degrees the required force becomes smaller, so
the answer is
b. Make the ramp longer.
D)finally, if yuo lift the object witouth the ramp ( vertically) , the distnace becomes smaller, ( only 3 m),but the force is the total weigth of the object ( 300 N)
I hope this helps you
A 0.75 kg mass attached to a vertical spring stretches 0.30m. a) what is the spring constant?
Answer:25N/
Explanation:
A particle starts from the origin at t = 0 with a velocity of 6.0 m/s and moves in the xy plane with a constant acceleration of (-2.0 + 4.0) m/s2. At the instant the particle achieves its maximum positive x coordinate, how far is it from the origin
Answer:
9sqrt4
Explanation:
Assuming you mean 6.0i m/s and (-2.0i + 4.0j) m/s^2:
The maximum positive x coordinate is when the time is 3 seconds, because the horizontal velocity will be zero, and therefore will be a turning point, where after that point the x coordinate will only be more negative.
After 3 seconds the x coordinate is 6*3+1/2*-2*3^2=9, and the y coordinate will be 1/2*4*3^2=18.
The distance from the origin is sqrt(9^2+18^2) = 9*sqrt(1+4)
At the instant the particle achieves its maximum positive x coordinate, the displacement is 4.03 m.
Displacement of the particle
The displacement of the particle is calculated as follows;
v² = u² + 2as
where;
a is accelerationa = √(2² + 4²) = 4.47 m/s²
0 = u² + 2as
s = -u²/2a
s = -(6²)/(2 x 4.47)
s = -4.03 m
Thus, at the instant the particle achieves its maximum positive x coordinate, the displacement is 4.03 m.
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Which example represents a class 2 lever? (1 point)
O salad tongs picking up salad
O tweezers plucking hairs
O a car door being opened and shut
a screwdriver opening a paint can
The example that represents a class 2 lever is: D. a screwdriver opening a paint can.
Which example represents a class 2 lever?The load is situated in a class 2 lever halfway between the fulcrum and the effort. The screwdriver's resting place against the paint can's rim serves as the fulcrum in this scenario.
The paint can's lid serves as the load, and the force exerted by the hand on the screwdriver's handle serves as the effort. A class 2 lever can be identified by the load being situated between the fulcrum and the effort.
Tweezers, salad tongs, and opening and closing a car door are not examples of class 2 levers. Class 1 levers include things like tweezers and salad tongs, whereas class 3 levers include things like car doors that open and close.
Therefore the correct option is D.
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