The normal stress is 1292.5 Pa and the shear stress is 330 Pa on the plane at an angle of 50° relative to the principal stress axes.
What is shear stress?Shear stress is described as the component of stress coplanar with a material cross section which arises from the shear force, the component of force vector parallel to the material cross section.
We will calculate the major and minor principal stresses:
σ1 = (ob + ja) / 2 + (ja - ob) / 2 * cos(2b)
σ2 = (ob + ja) / 2 - (ja - ob) / 2 * cos(2b)
The normal stress on the plane at angle b can be calculated as:
σ = (σ1 + σ2) / 2 + (σ1 - σ2) / 2 * cos(2b)
The shear stress on the plane at angle b can be calculated as:
τ = (σ1 - σ2) / 2 * sin(2b)
Applying the formulas, we have:
σ1 = (500 + 1500) / 2 + (1500 - 500) / 2 * cos(2 * 50) = 1000 + 500 * 0.87 = 1000 + 435 = 1435 Pa
σ2 = (500 + 1500) / 2 - (1500 - 500) / 2 * cos(2 * 50) = 1000 - 500 * 0.87 = 1000 - 435 = 565 Pa
σ = (1435 + 565) / 2 + (1435 - 565) / 2 * cos(2 * 50) = 1000 + 435 * cos(100) = 1000 + 292.5 = 1292.5 Pa
τ = (1435 - 565) / 2 * sin(2 * 50) = 435 * sin(100) = 435 * 0.76 = 330 Pa
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What would the power (Watts) be for a speaker if it draws 3.0 Amps of current when connected to a 12.0 Volt source?
144 is the power if the current is 3.0 ampere.
What is Power?Average power, or when tdelta, t in the equation for power is very large, is the power measured over a lengthy period of time. Finding the area under the power vs. time curve, which represents the total work completed, and dividing by the total time are two methods for calculating this.
Although calculus is typically the finest tool for this, it is frequently possible to estimate it very correctly only using geometry. Peak power is the highest value that an instantaneous amount of power can have in a given system over an extended period of time.
Systems that have the capacity to provide a peak power that is significantly greater than their rated average power include stereo systems and car engines.
Therefore, 144 is the power if the current is 3.0 ampere.
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What is Plato's definition of knowledge? Also, why might Descartes think that Plato's definition of knowledge is flawed? (To answer this latter question, discuss the two skeptical scenarios that Descartes entertains and why he thinks those scenarios are troublesome for any definition of knowledge).
The answers include the following;
Plato believed that knowledge is attainable, and that knowledge must be infallible and of the real.Descartes think that Plato's definition of knowledge is flawed because it fails to distinguish between justified, true beliefs that count as knowledge, and justified true beliefs that do not count as knowledge.What is Knowledge?This is referred to as the fact or condition of knowing something with familiarity gained through experience or association.
Descartes firmly believed that true knowledge can only be through the methodical application of reason.
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A car P was decelerating at 2.0 m/s^2 when it passes a stationary car Q, and speed was 20 m/s. At the same car Q from rest and accelerated at 2.5 m/s² along the same straight road.
(i) Find the time when car Q overtook car P.
(ii) How far was car Q from car P when car P came to a stop?
(i) The time when car Q overtook car P is 8 seconds.
(ii) The car Q was 32 meters away from car P when car P came to a stop.
What is the time when car Q overtook car P?(i) To find the time when car Q overtook car P, we can use the formula for relative velocity:
v = u + at
where;
v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.Let's call the time when car Q overtook car P as t. At that time, the velocity of car Q is equal to the velocity of car P, so:
20 = 0 + 2.5t
Solving for t, we get:
t = 8 seconds
(ii) To find the distance between the two cars when car P came to a stop, we can use the formula for distance traveled:
d = ut + (1/2)at^2
Let's call the distance between the two cars when car P came to a stop as d. Since car P was decelerating, its final velocity is 0 m/s. Substituting the known values into the formula, we get:
d = 20t + (1/2)(-2.0)(t^2)
d = 20 * 8 + (1/2)(-2.0)(8^2)
d = 160 - 128
d = 32 meters
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The driver of a car travelling at 65km/h in an easternly direction, steps on the brakes and stops in 4.0s. while braking, the average acceleration of the car in (m/s^2)
A) 16.3 m/s^2 towards the west
B) 4.5 m/s^2 towards the west
C) 4.5 m/s^2 towards the east
D) 16.3 m/s^2 towards the east
The acceleration is 4.5 m/s^2 towards the west. Option B
What is the velocity?We have to in this case use the equation of the motion that have been uniformly accelerated so as to be able to find the acceleration which is the rate of the change of the velocity of the object with time.
Acceleration = Change in the velocity / Time
Initial velocity = 65km/h or 18.1 m/s
Final velocity = 0 m/s
Time taken = 4.0 s
Then we have that;
Acceleration = 0 - 18.1/4
= -4.5 m/s^2
The acceleration of the object is 4.5 m/s^2 towards the west as shown above.
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why is interpretation an important part of meteorology
Strong interpretation is an important thing in meteorology. Because, analyzing the climate level in each area and the factors affecting it with their visual representation is very important in weather forecast.
What is meteorology ?Meteorology is a branch of science dealing with the weather in different regions. On interpreting data, forecasters are tasked with synthesizing available observations from multiple platforms (including surface observations, weather balloons, radar, and satellite), numerical guidance from computer model forecasts, scientific theory, and experience-based intuition to arrive at a forecast.
The forecast process is often collaborative, with teams of meteorologists routinely integrating new information into the forecast as the event approaches.
Increasingly, forecasters are also responsible for effectively communicating the forecast and its anticipated impacts upon life and property to various stakeholders, including the public.
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An athlete exerts 3000 W of power when he takes 10.2 s to run the race. How much WORK does the athlete do?
(need solution)
Kinetic energy (K.E.) is inversely proportional to the square of an object's velocity and its mass: K.E. = 1/2 m v2. When a mass is measured in kilograms and a speed is measured in meters per second.
The kinetic energy is measured in kilogram-meters squared per second squared.
Where can I find velocity?By dividing the entire distance traveled by the time it took the object to go a certain distance, you may calculate the object's initial velocity. V, d, and t are the three variables that make up the equation V = d/t.
How is kinetic energy calculated mathematically?Kinetic energy (KE) is defined as the product of the mass of an item multiplied by the square of its velocity. Consider this: The kinetic energy of an object with a mass of 10 kilograms (m = 10 kg) travelling at a speed of 5 m/s (v = 5 m/s) is equal to 125 joules, or (1/2 * 10 kg) * 5 m/s2.
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Kindly please tell me the answer to this question...
Following are the answers:
Pressure = [tex]force/area = 1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 PaDensity = Pressure/ (acceleration due to gravity x height) =[tex]9.79 N/m^2 / (9.8 m/s^2 x 0.92 m)[/tex] = 1060 kg/m^3.What is the pressure and density?1. To calculate the pressure exerted by the water column on the surface of the mercury, we can use the formula:
Pressure = force/area
The force is the weight of the water column and the area is the cross-sectional area of the container.
The weight of the water column is given by the mass of the water times the acceleration due to gravity:
mass = density x volume
volume = area x height
So, mass = density x area x height = 1000 kg/m^3 x pi x (0.025 m)^2 x 0.25 m = 0.196 kg
Weight = mass x acceleration due to gravity =[tex]0.196 kg * 9.8 m/s^2[/tex] = 1.92 N
The cross-sectional area of the container is pi x (0.025 m)^2 =[tex]0.196 m^2.[/tex]
So, Pressure = force/area = [tex]1.92 N/0.196 m^2 = 9.79 N/m^2[/tex] or 9.79 Pa
2. To calculate the density of the oil, we can use the formula:
density = mass/volume
Since the height of the oil column is 0.92 m and the cross-sectional area of the container is 0.196 m^2, the volume of the oil column is 0.196 m^2 x 0.92 m = 0.18012 m^3.
We do not know the mass of the oil, but we can calculate it using the pressure exerted by the oil column on the surface of the mercury:
Pressure = force/area = density x acceleration due to gravity x height
So, density = Pressure/ (acceleration due to gravity x height) = 9.79 N/m^2 / (9.8 m/s^2 x 0.92 m) = 1060 kg/m^3.
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Hypothesis of esterfication experiment?
3. Samantha spots buried treasure while scuba diving on her Caribbean vacation. If she must
descend to a depth of 40 meters to examine the treasure, what gauge pressure will she read on
her scuba equipment? The density of seawater is 1025 kg/m³. [gauge pressure is another name for
hydrostatic pressure, use P=Dgh (P = pressure (N/m²); D = density (kg/m³); g = gravity = 9.8 m/s²,
and h depth (m)]
When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.
At what pressure can a diver breathe air at a depth of 40 meters? When inhaled, air from a regulator, which is a piece of diving equipment, is supplied at atmospheric pressure.An air pressure of 5 atmospheres (atm) is therefore required for a diver to breathe at a depth of 40 meters.In their summary, Anthony and Mitchell suggest that the optimal gas density should be 5.2 g/L, with a 6.2 g/L absolute maximum.Both of these amounts are equivalent to air diving at 102 and 128 feet above sea level.The hydrostatic pressure, or the force a liquid exerts on an object per unit area, has increased, which is the cause of this.The pressure of the water pressing down on you increases the deeper you go under the water.To learn more about atmospheric pressure refer
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a metal ion (x) with a charge of 3+ is attracted to a non metal ion (z) with a compound charge of 4-. which of these formulas represents the resulting compound?
A metal ion (X) with a charge of 3+ is attracted to a non metal ion (Z) with a compound charge of 4-. The formula of resulting compound is X₄Z₃.
What is chemical compound?A chemical compound is a substance made of numerous similar molecules (or molecular entities) joined by chemical bonds and comprising atoms from various chemical elements.
Therefore, a molecule made up of only one type of atom is not a compound. Chemical reactions, which may entail interactions with other molecules, can change a compound into a distinct substance. Atomic bonds may be shattered or new ones created during this process.
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A skydiver jumps out of a helicopter and falls freely for 9.0 seconds before opening the parachute..
1. What is the the skydivers downward velocity when the parachute opens?
2. How far below the helicopter is the skydiver when the parachute opens?
Rocket powered sleds are used to test the responses of humans to acceleration. Starting from rest, one sled can reach a speed of 444m/s in 1.80s and can be brought to a stop again in 2.15s.
a. What is its acceleration when braking?
b. After braking for 1s what is the velocity?
Answer:
to explain the work on the other one you said its this A) The speed of the truck at the end of the 20.0m distance can be calculated using the equation v^2 = u^2 + 2as, where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement. The initial velocity of the truck is 100m/s, the acceleration is 6.5m/s^2, and the displacement is 20.0m. Plugging in these values, we get v^2 = 100^2 + 2(6.5)(20.0). Solving for v, we get v = 36.6 km/h. B) The time elapsed can be calculated using the equation t = (v-u)/a, where t is the time elapsed, v is the final velocity, u is the initial velocity, and a is the acceleration. Plugging in the values, we get t = (36.6-100)/6.5, which gives us t = 3.03 seconds.
Explanation:
but for this problem
The acceleration when braking is -202m/s2. b. After braking for 1s, the velocity is 242m/s.
The acceleration when braking can be found by using the equation a = (Vf- Vi)/t, where Vf is the final velocity, Vi is the initial velocity, and t is the time. In this case, the initial velocity is 444m/s and the final velocity is 0m/s. The time is 2.15s. Plugging these values into the equation gives us a = -202m/s2. For the second question, we can use the equation Vf = Vi + at, where Vf is the final velocity, Vi is the initial velocity, a is the acceleration, and t is the time. In this case, the initial velocity is 444m/s, the acceleration is -202m/s2, and the time is 1s. Plugging these values into the equation gives us Vf = 242m/s.
t = 3.03 seconds.
Explanation:
(Reuploaded)
The table below shows the organisms in a prairie ecosystem. It also shows where they get energy from.
Based on the table above, which food chain below is most likely present in the prairie ecosystem?
(A)Badger → pocket gopher → grass → sun
(B)Sun → grass → ground squirrel → coyote
(C)Sun → chicory → grasshopper → meadow frog
(D)Sun → grass → coyote → ground squirrel
The correct food chain possible in a prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.
What is food chain ?Food chain is the flow of energy from one level of source to the other. The prime member in the food chain are plants. Plants are producing energy using photosynthesis.
Only 10 % of energy is transferring to each layer. Remaining are lost to the surroundings. The food chain in each ecosystem is different from the others.
From the given table it is clear among the given choices the possible food chain in the prairie ecosystem is Sun → grass → ground squirrel → coyote. Hence, option B is correct.
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what is the equation for time dilation
Find the duration of time that the stationary observer is measuring. In the formula for the Lorentz factor, = (1 - v2/c2), replace v with the traveling viewer's velocity. The time determined by moving observer is the outcome.
What is an example of time dilation?It is theoretically conceivable for passenger in a quickly vehicle to travel into the future inside a brief amount of their own time because to time dilation. When traveling at high enough speeds, the impact is dramatic. For instance, ten years on Earth could be equivalent to one year of travel.
Time dilation: What is it?The difference here between elapsed times of two occurrences measured by either traveling relative to one another or by being placed away from gravity mass or masses is referred to as time dilation in the theory of relativity.
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does the troposphere absorb more or less ultraviolet radiation than the thermosphere? why?
Aerosols in the troposphere, like dust and smoke, scatter UV-B radiation in addition to absorbing it, unlike clouds.
The effects of radiation on peopleOur cells' DNA may become damaged by radiation. Acute Radiation Syndrome (ARS) or Cutaneous Radiation Injuries are potential side effects of high radiation doses (CRI). The long-term effects of high radiation doses may include cancer.
Is radiation a long-term contaminant in the body?Certain radiation sources only briefly remain in the body. Some substances persist in the body permanently, such as seeds and radioactive medications. Yet as time passes, the radiation deteriorates and exhausts itself. You do temporarily become radioactive due to internal radiation.
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A 16.0 kg canoe moving to the left at 12.5 m/s makes an elastic head-on collision with a 14.0 kg raft moving to the right at 16.0 m/s. After the collision, the raft moves to the left at 14.4 m/s. What is the velocity of the canoe after the collision?
According to the law of conservation of momentum, the velocity of the canoe after the collision will be 17.79 meters per second.
What is the law of conservation of momentum?The law of conservation of momentum states that the momentum of the system of objects remains constant before and after the collision unless an external force is applied.
m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂
where, m₁ is the mass of one object and m₂ is the mass of second object,
u₁ and u₂ are initial velocities of object one and two,
v₁ and v₂ are the final velocities of object one and two.
16 × 12.5 + 14 × 16 = 12.5 × v₁ + 14 × 14.4
200 + 224 = 12.5v₁ + 201.6
424 = 12.5v₁ + 201.6
424 - 201.6 = 12.5v₁
222.4 = 12.5v₁
v₁ = 222.4/ 12.5
v₁ = 17.79 m/s
Therefore, the velocity of the canoe after the collision will be 17.79 meters per second.
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A bare helium nucleus has two positive charges and a mass of 6.64×10
−27
kg. What voltage would be needed to obtain the speed of 6.00×10
6
m/s ? 12.5×10
−2
V
0.0134×10
−4
V
120×10
−15
V
37.4×10
4
V 149×10
4
V 0.0803×10
2
V 239×10
−15
V 299×10
4
V
Answer:
Explanation:
The voltage needed to obtain the speed of 6.00 x 10^6 m/s for a bare helium nucleus is 149 x 10^4 V.
A land yacht is a low mass three-wheeled wind-powered vehicle with a sail. Suppose you are in the desert, observing a land yacht race. Consider your location to be the origin. When a particular land yacht passes you, it is traveling 8 m/s in the −z direction. If the mass of the vehicle plus driver is 188 kg, and the net force on the vehicle remains constant at ‹ 0, 0, −26 › N, what is the position of the yacht 29 seconds after it passes you?
The position of the yacht 29 seconds after it passes you is 290.87 m.
What is the acceleration of the yatch?The acceleration of the yatch is calculated by applying Newton's second law of motion as shown below.
F = ma
a = F / m
where;
F is the applied forcem is the mass of the yatcha is the accelerationa = ( 26 N ) / ( 188 kg )
a = 0.14 m/s²
The distance travelled after 29 seconds is calculated as follows;
s = vt + ¹/₂at²
where;
v is the speed of the yatcht is the time of motiona is accelerations = ( 8 m/s x 29 s ) + ¹/₂(0.14)(29)²
s = 290.87 m
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Calculate the magnitude of the component at the force perpendicular to the ground.
The component of the force is 260N
What is the component of the force?The components of force are magnitude and direction. It is the effective magnitude of the force that we can see to be acting in a particular direction as we have in the question that is before us here.
We know that the ground would be the vertical axis as it says that it is perpendicular thus we are going to have that;
The component is Fsin∅
That is; 300 sin60
= 260N
Thus the force that is perpendicular is going to have a component of 260 N.
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Missing parts;
The following diagram shows a person exerting a
300.-newton force on the handle of a shovel that
makes an angle of 60. with the horizontal ground.
Determine the magnitude of the component of the
force perpendicular to the ground.
how are neutral atoms different than atoms that are positively charged????
Neutral atoms have an equal number of protons and electrons, which means their overall electric charge is zero. On the other hand, atoms that are positively charged, also known as cations, have lost one or more electrons and thus have a net positive charge. The loss of electrons changes the number of positive charges (protons) and negative charges (electrons) within the atom, altering its chemical and physical properties. The difference in charge also affects how these atoms interact with other atoms and molecules, leading to differences in reactivity and behavior.
a piece of lithium goes from 65 Celsius to 200 Celsius. What state of matter would we expect it to be in?
The lithium would exist in the liquid state of matter.
What are states of matter?In physics, a state of matter is one of the distinct forms in which matter can exist.
Four states of matter are observable in everyday life : solid, liquid, gas and plasma.
Given is that a piece of lithium goes from 65 °C to 200 °C.
The lithium would exist in the liquid state of matter.
Refer to the table below.
Symbol Name Melting Boiling Density
Point (ºC) Point(ºC) (g/cm3) (at 293 K)
Li Lithium 180.54 1347 0.534
Therefore, the lithium would exist in the liquid state of matter.
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A 5.00-kg ball, moving to the right at a velocity of +2.00 m/s on a frictionless table, collides head-on with a stationary 7.50- kg ball. Find the final velocities of the balls if the collision is (a) elastic and (b) completely inelastic
The velocity of the balls if the collision is perfectly elastic is -0.78 m/s and v₂ = 1.98 m/s.
What is Elastic and inelastic collisions?A state where there is no net loss in the kinetic energy in the system of two objects as the result of the collision is called as an elastic collision.
Inelastic collisions is a type of collision where there is a loss of kinetic energy.
Using the law of conservation of momentum:
m₁u₁ + m₂u₂ = m₁v₁ + m₂ v₂ (u₂ = 0)
5 x 2 = 5v₁ + 7v₂
10 = 5v₁ + 7v₂
v₂ = (10 - 5v₁)/7
Elastic collision so kinetic energy conserved:
1/2 x 5 x (2)² = 1/2 (5v₁² + 7v₂²)
20 = 5v₁² + 7((10 - 5v₁)/7)²
140 = 35v₁² + 5v₁² + 100 - 20v₁
40v₁² - 20v₁ - 40 = 0
v₁ = -0.78 m/s
The first ball is lighter so its velocity will change direction due to collision.
v₁ = -0.78 m/s
10 = 5(-0.78) + 7v₂
v₂ = 1.98 m/s
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(0)
A rocket takes off from Earth's surface, accelerating straight up at 45.2 m/s2. Calculate the normal force (in N) acting on an astronaut of mass 87.4 kg, including his space suit. (Assume the rocket's initial motion parallel to the +y-direction. Indicate the direction with the sign of your answer.)
The normal force acting on an astronaut of mass 87.4 kg is -3092.56 N.
How to calculate normal force?The normal force acting on an object is equal to its weight minus the gravitational force acting on it. On Earth's surface, the weight of an object can be calculated as: W = m x g
Where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²).
The weight of the astronaut with a mass of 87.4 kg is:
W = 87.4 kg x 9.8 m/s² = 856.92 N
Since the rocket is accelerating straight up at 45.2 m/s², the gravitational force acting on the astronaut decreases. The net force acting on the astronaut is equal to the normal force.
F = m x a = 87.4 kg * 45.2 m/s² = 3949.48 N
The normal force can be calculated:
N = W - F = 856.92 N - 3949.48 N = -3092.56 N
So the normal force acting on the astronaut is -3092.56 N, directed upward.
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What is the specific heat capacity of a silver medal if 55.0 grams of the metal absorbs 197.9 joules of heat and the temperature rises 15°C
The specific heat capacity of silver is 0.235 J/g°C.
What is the specific heat capacity of a silver medal?The theory used in this question is the specific heat capacity equation, which states that the amount of energy required to raise the temperature of an object is proportional to the mass, specific heat capacity, and change in temperature.
The equation is Q = mcΔT, where Q is the amount of energy, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature.
Explanations given below
Calculate the specific heat capacity of silver by dividing the energy absorbed (197.9 J) by the mass of the silver (55.0 g) and the temperature rise (15°C).
Divide 197.9 J by 825 g°C (55.0 g * 15°C).
(197.9 J) / (55.0 g * 15°C) = 0.235 J/g°C
The result is 0.235 J/g°C, which is the specific heat capacity of silver.
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3) You observe a deep water (water depth> wave base) wave with a wavelength of 15 m and period of 3 seconds. What is the frequency and celerity of the wave?
Frequency:
Celerity:
4) what happens to wavelength as celerity increases? (see part 3)
The frequency of the wave is 0.33 Hz.
The celerity of the wave is wave is 4.95 m/s.
As the celerity of the wave increases, the wavelength increases.
What is the frequency of the wave?
The frequency of the wave is calculated by applying the following formula.
v = fλ
where;
f is the frequency of the waveλ is the wavelength of the wavef = 1 / T
f = 1 / 3 s
f = 0.33 Hz
The celerity of the wave is wave is calculated as follows;
v = fλ
v = ( 0.33 Hz ) x ( 15 m )
v = 4.95 m/s
λ = v / f
Thus, from the above equation as the celerity of the wave increases, the wavelength increases.
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The mathematical relationship between three physical quantities is given by a =
b
If the dimension of b is: iT and the dimension
of cis [L]. Which one of the following choices is the dimension of a?
The dimensional formula of physical quantity a is [L]/[T²]. Hence, option (c) is correct.
What is dimensional formula?The definition of the dimensional formula is the correct statement of the physical quantity in terms of its fundamental unit.
The relation between physical quantities a, b and c is:
a = b²/c
The dimensional formula of b is = [L]/[T] = [LT⁻¹]
The dimensional formula of c is = [L]
Hence, the dimensional formula of a is = [LT⁻¹]²/[L]
= [L²T⁻²L⁻¹]
= [LT⁻²]
= [L]/[T²]
The dimensional formula of a is [L]/[T²]. Hence, option (c) is correct.
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Calculate the efficiency of a compact fluorescent light if a power input of 20 J/s gives an output power of 9 J/s.
The efficiency of the machine is 45%
What is efficiency?Efficiency is a measure of how well a system, process, or machine uses resources to produce outputs compared to the inputs used. It indicates the extent to which time, effort, and resources are used effectively to achieve desired goals and minimize waste. The efficiency of a system can be improved by reducing inputs, increasing outputs, or a combination of both.
The efficiency is;
Output power/ Input power * 100/1
= 9/20 * 100/1
= 45%
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How does changing the mass affect the gravitational force between objects
when the distance between them is kept constant?
When the mass of objects is changed while the distance between them is kept constant, the gravitational force between them is directly proportional to the mass of the objects.
What do you mean by gravitational force?Gravitational force is a type of force that exists between any two objects that have mass. It is the force of attraction between objects due to their masses and the distance between them. The strength of the gravitational force between two objects depends on their masses and the distance between them.
The gravitational force was first described by Sir Isaac Newton in his law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them. This means that the greater the mass of the objects and the closer they are to each other, the stronger the gravitational force between them will be.
This relationship is described by Newton's law of universal gravitation, which states that the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
If the mass of one of the objects is doubled, the gravitational force between them will also double. If the mass of one of the objects is increased by a factor of 10, the gravitational force between them will increase by a factor of 10. Similarly, if the mass of one of the objects is decreased by a factor of 2, the gravitational force between them will decrease by a factor of 2.
In general, the greater the mass of the objects, the greater the gravitational force between them will be. This means that objects with greater mass will exert a stronger gravitational pull on other objects, causing them to be drawn closer together.
It's important to note that the distance between the objects also affects the magnitude of the gravitational force. If the distance between the objects is increased, the gravitational force between them will decrease, and vice versa. However, if the distance is kept constant, as in this case, the gravitational force will be directly proportional to the mass of the objects.
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A baseball is thrown straight upward with an initial speed of 35m/s. compute:
a) The maximum height reached by the ball b) The time taken to reach that height
c) Its velocity 30s after it is thrown,
a) Maximum height reached by ball = 376 m ; b) Time taken to reach that height is 21.5 s and c) Velocity 30s after it is thrown is -13.9 m/s
What is velocity?Velocity is vector expression of displacement that an object or particle undergoes with respect to the time.
Given:
y₀ = 0 m ; v₀ = 35 m/s
a) Find: y when v = 0 m/s.
As, v² = v₀² + 2a (y − y₀)
(0 m/s)² = (35 m/s)² + 2(-1.63 m/s²) (y − 0 m)
So, y = 376 m
Maximum height reached by ball, y = 376 m
b) Find: t when v = 0 m/s.
As, v = at + v₀
0 m/s = (-1.63 m/s²) t + 35 m/s
So, t = 21.5 s
Time taken to reach that height is, t = 21.5 s
c) Find: v when t = 30 s.
As, v = at + v₀
v = (-1.63 m/s²) (30 s) + 35 m/s
So, v = -13.9 m/s
Velocity 30s after it is thrown is, v = -13.9 m/s.
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What is an isolated system
?
Answer:
In physical science, an isolated system is either of the following: a physical system so far removed from other systems that it does not interact with them. a thermodynamic system enclosed by rigid immovable walls through which neither mass nor energy can pass