Answer:
Gravitational potential energy (ex. height)
Elastic potential energy (ex. stretched rubber band)
Electrical potential energy (ex. negative charges close together want to repel each other)
Q.4 A small iron ball of mass 5 kg falls, from rest, from the top of a building and strikes the ground 4 seconds later.
(a) How high is the building?
(b) What is its velocity on striking the ground? (c) Calculate its kinetic energy (KE) and potential energy (PE)
(i) At the start.
(ii) When half-way down.
(iii) Just before impact with ground.
[5 Marks] [5 Marks] [12 Marks]
The answer is as follows:
a) height of the building is 19.6m
b) its velocity on striking the ground is 384.16m/s²
C)its kinetic energy (KE) and potential energy (PE)
i) At the start K.E is 368,947.26J and P.E is 0
(ii) K.E halfway down is equal to P.E is 480.2J
(iii) K.E Just before impact with the ground is 368,947.26J and P.E is 960.4J.
What is kinetic energy (K.E) ?
This refers to the energy an object possesses because of its motion.
What is potential energy (P.E)?
This refers to the energy an object possesses because of its position.
From the question:
mass = 5 kg
Time =4 seconds
To calculate height,h:
h= t*g/2
where,
g, gravitational force= 9.8m/s
h =4 *9.8m/s
2
= 19.6m
To calculate its velocity on striking the ground,V:
V= 2*g*h
=2* 9.8m/s *19.6m
=384.16m/s²
To calculate its kinetic energy (KE) and potential energy (PE):
(i) At the start.
K.E = 1/2mv²
= 1* 5* 384.16²
2
=368,947.26J
P.E = 0 (No initial velocity)
(ii) When halfway down
K.E =P.E ( due to the law of conservation of energy)
P.E= m*g*h
=5 kg*9.8 *19.6m
P.E=960.4J
So halfway down:
P.E/2
=960.4J/2
=480.2J
(iii) Just before impact with the ground
K.E = 1/2mv²
= 1* 5* 384.16²
2
=368,947.26J
P.E= m*g*h
=5 kg*9.8 *19.6m
P.E=960.4J
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The Earth's history is shaped by different geological processes over a wide range of space and time.
For example, in the late 1900s, a crater was discovered near the town of Wetumpka, Alabama. Scientists found shocked quartz in the core samples collected from the crater. Shocked quartz occurs as a result of intense metamorphism (change in the structure of rocks).
Which of the following geological processes is most likely responsible for the formation of the crater?
A. erosion by water
B. tectonic plate movement
C. volcanic eruption
D. meteor impact
meteor impact this ecological processes is most likely responsible for the formation of the crater. Hence option D is correct.
What is meteor impact ?A collision between celestial objects that has quantifiable effects is called an impact event. The most frequent impact events involve asteroids, comets, or meteoroids and have little impact. However, impact events have been shown to occur often in planetary systems and have physical repercussions. However, many surface impacts are reduced by atmospheres through atmospheric entry when massive objects strike terrestrial planets like the Earth. Nonetheless, there may be major physical and biospheric effects. The majority of the solid objects in the Solar System are covered with impact craters and structures, which provide the best empirical evidence for their frequency and size. Since the birth of the Solar System, impact events appear to have had a substantial impact on how the Solar System has changed. Significant impact events have impacted Earth's history and have been linked
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can someone help me pleaseenkwnsn
If a third resistor is added in SERIES, what changes happens to the....
a. Total Voltage - stay the same b. Total Current - decrease c. Total Resistance - increase d. Voltage through resistor 1 - decrease e. Current through resistor 1 - decreaseWhat happens in a circuit?When you add a third resistor in series, the total resistance of the circuit increases. This is because the current has to flow through all three resistors, so it has to overcome more resistance. The total voltage across the circuit stays the same, because the voltage of the battery is constant. However, the current decreases, because the same amount of current is now flowing through a larger resistance.
The voltage across each resistor also decreases, because the total voltage is divided among the three resistors. The current through each resistor also decreases, because the same current is now flowing through a larger resistance.
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What is the best description of realistic fiction o texts that are written in first person about a period in an author's life?
An autobiography, like a memoir, is the writer's recounting of his or her life and is written in the first person, making the writer the protagonist of the narrative.
What phrase best sums up a realistic piece of fiction?Contemporary/Realistic: In order to accurately portray our environment and society, realistic fiction develops fictional people and circumstances. Growing up and dealing with social and personal issues are the main themes. Characters in this genre are depicted as they learn about both themselves and others.
Which of these two realistic fiction subgenres predominates?Historical and contemporary fiction make up realistic fiction's two subgenres. Unlike current fiction, which takes place in the present or recently past, historical fiction takes place at a period that is far enough back in history to be deemed history.
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Answer: the answer is b
Explanation:
edge
A 0.149-kilogram baseball, initially moving at 25 m/s, is brought to rest in 0.040 second by a baseball glove on a catcher's hand. What is the magnitude of the average force exerted on the ball by the glove?
Answer:
Answer:
the magnitude of the average force exerted on the ball by glove is
F = 55,875 N
Explanation:
A solid cylinder pivoted about the z axis through O. The moment arm of T⃗ 1 is R1, and the moment arm of T⃗ 2 is R2. Suppose T1 = 19 N, R1 = 1 m, T2 = 52 N, and R2 = 2,1 m. What is the magnitude of the net torque about the rotation axis?
Answer:
A solid cylinder pivoted about the z axis through O. The moment arm of vector T1 is R1, and the moment arm of vector T2 is R2.
A one-piece cylinder is shaped as shown in the figure, with a core section protruding from the larger drum. The cylinder is free to rotate about the central axis shown in the drawing. A rope wrapped around the drum, which has radius R1, exerts a force vector T1 to the right on the cylinder. A rope wrapped around the core, which has radius R2, exerts a force vector T2 downward on the cylinder.
(B) Suppose T1 = 6.5 N, R1 = 1.95 m, T2 = 5.5 N, and R2 =0.75 m. What is the net torque about the rotation axis, and which way does the cylinder rotate starting from rest? -8.55 N*m clockwise
****What if the forces vector T1 and vector T2 both reverse direction, and with new magnitudes vector T1 = 7.7 N and vector T2 = 7.8N. What is the magnitude of the net torque now? (Use the same sign convention for positive and negative torques. The radii R1 and R
Explanation:
A power plant burns coal at
830 K, and exhausts to air at
288 K. If it runs at the Carnot
efficiency, how much input heat
must be fed into the plant to
produce 230,000 J of work?
(Unit = J)
The efficiency of an engine is defined as ratio of the useful work done to the heat provided or,
in terms of temperature of the source and the sink the efficiency of heat engine is given by \(1-\frac{T_{2} }{T_{1} }\)
Thus, we have two formulae to calculate the efficiency of a heat engine.
η= \(\frac{useful work done}{heat absorbed}\) ....1
η= \(1-\frac{T_2}{T_1}\) ....2 (where \(T_{2}\) and \(T_{1}\) are temperatures of sink and source respectively)
Given quantities are,
\(T_{1}\) = 830K\(T_1\) =288KWork done = 230000JNow, by equating (1) and (2) equation,
⇒ \(1-\frac{T_2}{T_1}\) = \(\frac{Useful work done}{Heat absorbed}\)
Substituting the given values;
⇒ \(1-\frac{288}{830}\) = \(\frac{230000}{heat absorbed}\)
⇒therefore, heat absorbed = 353846.15 J
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A girl rides her bicycle 1.40 kilometers west, 0.70 kilometer south, and 0.30 kilometer east in 12 minutes. The vector diagram below represents the girl's fist two displacements in sequence
from point P. The scale used in the diagram is 1.0 centimeter = 0.20 kilometer.
8. Determine the measure of the angle, in degrees, between the resultant and the 1.40-
kilometer displacement vector.
Answer:
See below
Explanation:
For a right triangle, remember that tan = opposite leg / adjacent leg:
The angle will be found by using the inverse tangent function
arctan ( .3/1.4) = 12°
The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
What is vector?In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.
A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.
Ordinary quantities with a magnitude but no direction are referred to as scalars in contrast to vectors. For instance, while speed (the amount of velocity), time, and mass are scalars, displacement, velocity, and acceleration are vector quantities.
Therefore, The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.
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the teacher uses the ____ theorem to solve the equation.
A) mass-acceleration
B) work-energy
Answer:
B) work-energy
Explanation:
It is the work-energy theorem as there is no theorem called "mass-acceleration theorem" [unless you consider Newton's Second Law (maybe?) but not really].
Its postulates are :
Work done by all the forces = Change in Kinetic Energy. W g + W N + W f =K f – K i Where W g = work done by gravity W N = work done by a normal forceW f = work done by frictionK f = final kinetic energy.Which list below contains only ionic compounds?
A. CaCl2, H2O, LIF
B. CO2, K20, P4010
C. LiF, CaCl2, Mgo
D. NO2, Mgo, CuCl2
Answer:
C. LiF, CaCl2, MgO
Explanation:
Ionic compound: It is that compound which consist of negative and position ions and held together by electrostatic force of attraction.
The ionic compound is neutral.
The ionic compound formed between metal and non-metal.
Covalent compound: It is that compound in which sharing of electrons between two atoms occur.
A.\(CaCl_2,H_2O,LiF\)
H2O is not ionic compound. It is polar covalent.
Therefore, it does not contain only ionic compounds.
B.CO2,K2O,P4O10
CO2 and P4O10 are not ionic .It is covalent.
Therefore, it does not contain only ionic compounds.
C. LiF,CaCl2 ,MgO
All compounds are ionic because in given compounds one ion is negative and one is metal (positive).
Therefore, it contains only ionic compounds.
D.NO2,MgO,CuCl2
NO2 is not ionic.
Therefore, it does not contain only ionic compounds.
Option C is correct.
26. Which member of the carbon family is a non-metal?
Please help
Explanation:
Check out the Periodic Table attached here. The Carbon family is the vertical group starting with Carbon, Group 14. Nonmetals are in green, which element there is a nonmetal?
Justina dreamed last night that she was warding off villains in a life or death battle outside a fortified castle. In the dream, she attempted to cross the moat but saw that it was filled with grotesque swamp creatures with warty green skin and she recoiled in fear. Knowing there was only one way to reach safety, she flew over the top of the castle and landed among the weeds in the inner courtyard. She was surprised to run into her seventh period Geometry teacher, Ms. Hargroves, but seeing that her teacher had a spear, compass, and workbook with her, Justina knew they would prevail. Ms. Hargroves told Justina that the key to defeating the villains was to write the theorems from the homework on the castle walls as protection against the invaders. Justina scrambled to write the complicated theorems before the menacing villains closed in. Just when the towering castle walls were about to be sieged, Justina awoke from her dream with a start.
As a therapist who specializes in dreams, who would you interpret Justina’s dream using:
17. Freud’s wish-fulfilling theory:
18. The information-processing theory:
19. The physiological function theory:
20. The activation synthesis theory:
21. The cognitive development theory:
As a therapist who specializes in dreams, I would interpret Justina’s dream by using: 17. Freud’s wish-fulfilling theory.
Who is Sigmund Freud?Sigmund Freud was an Austrian physiologist, neurologist, medical doctor and the founder of psychoanalysis. Also, Freud was born in Moravia on the 6th of May, 1856 and he was famously known around the world for his works on psychoanalytic theory of personality development.
In 1923, Sigmund Freud developed the personality theory through which he strongly argued that a person’s personality (human psyche) is structured into three (3) key parts and these include:
The Id (instincts).Ego (reality).Superego (morality).According to Sigmund Freud, wish fulfillment simply means the satisfaction of a human desire through an involuntary thought process such as dreams. Thus, it typically happens to a person when unconscious desires are adequately repressed by both the ego and superego.
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Liquid water is nearly 1,000 times denser than air. Thus, for every 32.0 feet (9.75 m) a scuba diver descends below the water's surface, the pressure increases by 1.00 atm. Human lungs have a volume of approximately 3.50 L. If a scuba diver descends to a depth of 80.0 feet where the pressure is 3.50 atm (2.50 atm from the water and 1.00 atm from the air pressure), then by how much does the volume of a 3.50 L surface sample of air decrease
Answer:
ΔV = -2.1 L
Explanation:
To solve this exercise we can use the ideal gas equation for two points
PV = nRT
P₁V₁ = P₂ V₂
where point 1 is on the surface and point 2 is at the desired depth,
V₂ = \(\frac{P_1}{P_2} \ V_1\)
let's calculate
V₂ = ( \(\frac{1 atm}{2.5 atm}\) ) 3.5 L
V₂ = 1.4 L
this is the new volume, the change in volume is
ΔV = V₂ -V₁
ΔV = 1.4-3.5
ΔV = -2.1 L
Force varies directly with pressure. A force of 22,000 newtons acts on an object, causing 110 N/m² of pressure. The
force decreases to 18,000 newtons. What is the new amount of pressure caused by the force?
○ 45 N/m²
90 N/m²
O 75 N/m²
60 N/m²
The final amount of pressure caused by the force is 90 N/m².
Initial amount of force, F₁ = 22 x 10³ N
Initial amount of pressure produced, P₁ = 110 N/m²
Final amount of force exerted, F₂ = 18 x 10³ N
Pressure is defined as the amount of force acting on an object per unit area of the object.
So, we can say that the force and pressure are directly proportional.
F ∝ P
So, F₁/P₁ = F₂/P₂
Therefore, the final amount of pressure caused by the force is,
P₂ = F₂P₁/F₁
P₂ = 18 x 10³x 110/22 x 10³
P₂ = 18/0.2
P₂ = 90 N/m²
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Apply the scientific method in answering the questions below.
Use the template below in presenting your answers.
I. Problem
II. Preliminary Information
III. Hypothesis
IV. Facts about the Problem
V. Conclusion
1. Why is ultraviolet radiation commonly used in sanitizing hospitals
and operating rooms?
2. Using the photon theory, explain how atomic spectra are formed.
3. Give the contribution of Max Planck and Albert Einstein in the current
understanding of the particle nature of light
A photon is a tiny energy packet of electromagnetic radiation, also referred to as a light quantum.
1) Ultraviolet radiation is commonly used in sanitizing hospitals because, viruses, methicillin-resistant Staphylococcus aureus, and vancomycin-resistant enterococci are all susceptible to the germicidal effects of UV-C.
2) According to the photon theory, electrons that have been stimulated return to the ground state to create atomic emission spectra. Light or the photon is the energy that is released when electrons drop to a lower energy level.
3) To characterise the atomic characteristics of light, Albert Einstein used Planck's quantum theory.
Planck's hypothesis is supported by Einstein's demonstration that electromagnetic radiation, such as light, has both wave-like and particle-like properties.
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Objects falling through the air experience a type of friction called air resistance
A. True
B. False
As the object falls down, it pushes air aside, and the air pushes back (newton's 3rd law) so the air slows down the object a very tiny amount. This causes friction. The friction produces some heat as well.
Which expenses do you think will change based on how much you drive
Increased driving can lead to higher vehicle maintenance and repair expenses, increased fuel costs, potential increases in auto insurance premiums, and additional parking fees, all of which should be considered when estimating the overall impact on your expenses.
The expenses that are likely to change based on how much you drive can be broadly categorized into two main areas: vehicle-related expenses and fuel-related expenses.
1. Vehicle-related expenses: The more you drive, the more wear and tear your vehicle will experience, leading to increased maintenance and repair costs. Regular oil changes, tire replacements, brake pad replacements, and other routine maintenance tasks will be required more frequently.
2. Fuel-related expenses: It's intuitive that the more you drive, the more fuel you'll consume, resulting in higher fuel expenses. Fuel prices can vary, but regardless of fluctuations, increased mileage will directly impact your fuel budget. Fuel-efficient vehicles may mitigate some of these costs, but the overall impact on your expenses will still be noticeable.
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In the diagram, R₁ = 40.0 , R2= 25.4 , and R3 = 70.8 . What is the equivalent resistance of the group?
According to the diagram the equivalent resistance of the group is
40.05 ohms
How to find the equivalent resistanceThe equivalent resistance is calculated by investigating the diagram to note that R2 and R3 are in parallel and both are in series to R1
Resistors in parallel is solved by
Resistors in parallel = 1/25.4 + 1/70.8
Resistors in parallel = 0.0535 ohms
Equivalent resistance
Equivalent resistance = Resistors in parallel + Resistor in series
Equivalent resistance = 0.0535 + 40
Equivalent resistance = 40.0535
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Mmoon: 0.0123ME
Rmoon: 0.272RE
MMars: 0.107ME
RMars: 0.530RE
Above, the masses and radii of the moon and Mars are given as fractions of the mass and radius of the earth. Calculate their accelerations due to gravity at their surfaces. [Below, the masses and radii of the moon and Mars are given as fractions of the mass and radius of the earth. Calculate their accelerations due to gravity at their surfaces. [The calculation is simplified if you directly substitute in the equation the lunar and Martian fractional factors for mass over radius squared and multiply the answers times 9.8.]
The acceleration due to gravity at the surface of a celestial body can be calculated using the formula:
a = G * M / R^2
where G is the gravitational constant, M is the mass of the celestial body, and R is its radius.
Substituting the lunar and Martian fractional factors for mass over radius squared and multiplying the answers by 9.8, we have:
Acceleration due to gravity at the surface of the Moon:
a = G * Mmoon / Rmoon^2 = G * (0.0123ME) / (0.272RE)^2 = 1.62 m/s^2
Multiplying by 9.8, we have:
a = 1.62 * 9.8 = 15.88 m/s^2
Therefore, the acceleration due to gravity at the surface of the Moon is approximately 1.62 m/s^2, or 15.88 m/s^2 when multiplied by 9.8.
Acceleration due to gravity at the surface of Mars:
a = G * MMars / RMars^2 = G * (0.107ME) / (0.530RE)^2 = 3.71 m/s^2
Multiplying by 9.8, we have:
a = 3.71 * 9.8 = 36.41 m/s^2
Therefore, the acceleration due to gravity at the surface of Mars is approximately 3.71 m/s^2, or 36.41 m/s^2 when multiplied by 9.8.
what is acceleration due to gravity ?Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g. The standard value of g on the surface of the earth at sea level is 9.8 m/s2.
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How are igneous rocks formed?
They are formed from cooled magma.
They are hot magma the moment it is expelled from a volcano.
They are formed over many years of pressure and heat within Earth.
They are formed from sediments that collected in ocean beds.
Answer:
What are igneous rocks?
Igneous rocks (from the Latin word for fire) form when hot, molten rock crystallizes and solidifies. The melt originates deep within the Earth near active plate boundaries or hot spots, then rises toward the surface. Igneous rocks are divided into two groups, intrusive or extrusive, depending upon where the molten rock solidifies
A detailed graph of angular velocity versus time is shown. What is the angular displacement, in radians, during the time interval from 0.75 s to 14.2 s?
0.116 rad/s is the angular speed in radians, during the time interval from 0.75 s to 14.2 s
ω=Δθ/Δt
Δθ= 90° = 1.571rad
Δt=13.45
ω=1.571/13.45
ω=0.116 rad/s
The rate of change of angular displacement, or the angle a body travels along a circular path, is the definition of angular speed. Calculating angular speed involves dividing the quantity of rotations or revolutions made by a body by the amount of time required. Omega is a Greek letter that represents angular speed. The SI's angular speed unit is rad/s.
As is well known, angular speed is determined by dividing the rate of displacement change by the time. As a result, the angular speed equation is = /t. Despite the procedure stated above, a different and more well-liked formula is used to determine angular speed in competitive testing. As ω = θ/t
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A cat of mass 5.5 kg was observed going from rest to sprinting at 20 m/s. How much work was required for this acceleration?
The amount of work required for the cat to accelerate from rest to sprinting at 20 m/s depends on the change in its kinetic energy. The work done is equal to the change in kinetic energy.
The work required for the cat to accelerate is 1100 Joules.
To calculate the work done, we need to determine the change in kinetic energy, which is given by the formula:
Change in Kinetic Energy = 1/2 * mass * (final velocity)^2 - 1/2 * mass * (initial velocity)^2
Given data:
Mass of the cat (m) = 5.5 kg
Initial velocity (u) = 0 m/s (rest)
Final velocity (v) = 20 m/s (sprinting)
Calculate the change in kinetic energy using the formula:
Change in Kinetic Energy = 1/2 * mass * (final velocity)^2 - 1/2 * mass * (initial velocity)^2
Plugging in the values:
Change in Kinetic Energy = 1/2 * 5.5 kg * (20 m/s)^2 - 1/2 * 5.5 kg * (0 m/s)^2
= 1/2 * 5.5 kg * (400 m^2/s^2)
= 1/2 * 5.5 kg * 400 J
= 5.5 kg * 200 J
= 1100 J
The work required for the cat to accelerate is equal to the change in kinetic energy, which is 1100 Joules.
Therefore, the work required for the cat to accelerate from rest to sprinting at 20 m/s is 1100 Joules.
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You are riding a bicycle. If you apply a forward force of 125 N, and you and
the bicycle have a combined mass of 82 kg, what will be the forward
acceleration of the bicycle? (Assume there is no friction.)
I WILL GIVE YOU POINTs
Answer:
1.52g
Explanation:
Given parameters:
Force = 125N
Mass combined = 82kg
Unknown:
Acceleration of the bicycle = ?
Solution:
From Newton second law of motion suggests that:
Force = mass x acceleration
Acceleration = \(\frac{force}{mass}\) = \(\frac{125}{82}\) = 1.52g
Answer:
The answer that was correct for me was A. 55 N pulling left, and 16 N, 17N p
pulling Right
Explanation:
A 1.8 m tallman stand in an elevator accelerating upward at 12 m/s?,
what is the blood pressure in the brain and foot.
Take the height difference between the heart and the brain to be
0.35 m?
13.3 x 103 Pa] & [Pblood = 1060 kg.m-3]
Note: [: P Heart
Answer:
12.483 Kpa
46.806 Kpa
Explanation:
Man's height = 1.8m
Pheart = 13.3 * 10^3
Density of blood (ρ) = 1060 kg/m³
Height difference between heart and brain (Hh - Hb) = 0.35m
g = acceleration due to gravity = 9.8 m/s²
Acceleration (a) = 12 m/s²
Blood pressure in brain :
Pbrain = Pheart - ρ(a - g) * (Hh - Hb)
Pbrain = 13.3 * 10^3 - 1060(12 - 9.8) * 0.35
Pbrain = 13300 - (2332 * 0.35)
Pbrain = 13300 - 816.2
Pbrain = 12483.8 pascal = 12.483 Kpa
Blood pressure in feet :
Pbrain = Pheart + ρ(a + g) * 1.8 - (Hh - Hb)
Pbrain = 13.3 * 10^3 + 1060(12 + 9.8)*(1.8 - 0.35)
Pbrain = 13300 + 1060(21.8 * 1.45)
Pbrain = 13300 + 33506.6
Pbrain = 46806.6 pascal = 46.806 Kpa
A sports car of mass 1000 kg can accelerate from rest to 27 m/s in 7.0 seconds. What is the average forward force on the car?
Group of answer choices
a.2.6 x 10^2 N
b.3.9 x 10^3 N
c.2.7 x 10^4 N
d.1.9 x 10^5 N
Answer:
Explanation:
F = ma = mΔv/Δt = 1000(27 - 0)/(7.0 - 0) = 3,857.1428...
b. F = 3.9 x 10³ N
Franklin needs to ship a box with FedEx. In order to calculate his shipping costs, he needs to measure the mass of the package. What is the base unit that he should use in this case?
A. meter B. liter C. gram
Answer:
meter
Explanation:
please mark as brainlist answer
Which of the following diagrams shows the greatest magnitude net torque with a zero net force? All the rods, of length 2r, rotate about an axis that is perpendicular to the rod and fixed in the center of the rod. All the forces are of magnitude F or 2F and all distances from the axis are r or r/2.
The diagram that shows the greatest magnitude net torque with a zero net force is the diagram in second option.
option B is the correct answer.
What is net torque?
The net torque is the sum of the individual torques. The torque itself is obtained from the product of applied force and the perpendicular distance of the force.
In rotational equilibrium, there is no net torque on the object. There may be individual torques, but they add up to zero and cancel each other out.
Mathematically, the formula for torque is given as;
τ = Fr
where;
F is the applied forcer is the perpendicular distanceThe torque applied to an object increases with increase in the perpendicular distance.
To obtain a zero net force, sum of all the opposite forces applied to an object must be equal to zero.
The forces must be equal in magnitude but opposite in direction, and the diagram that meets this specification is the last graph.
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A 5000. kg elevator accelerates at 3.0m/s? as it begins to move upward. Calculate the tension in the cable
Given data;
* The mass of the elevator is 5000 kg.
* The acceleration of the elevator is,
\(a=3ms^{-2}\)Solution:
The free body diagram of the elevator is,
The weight of the elevator is,
\(W=mg\)where m is the mass of the elevator and g is the acceleration due to gravity,
Substituting the known values,
\(\begin{gathered} W=5000\times9.8 \\ W=49000\text{ N} \end{gathered}\)The net force acting on the elevator is,
\(F_{\text{net}}=ma\)where a is the acceleration of the elevator moving upwards,
Substituting the known values,
\(\begin{gathered} F_{\text{net}}=5000\times3 \\ F_{\text{net}}=15000\text{ N} \end{gathered}\)From the free body diagram, the tension acting on the cable is,
\(\begin{gathered} T-W=F_{\text{net}} \\ T=F_{\text{net}}+W \end{gathered}\)Substituting the known values,
\(\begin{gathered} T=15000+49000 \\ T=64000\text{ N} \\ T=64\text{ kN} \end{gathered}\)Thus, the tension acting in the cable is 64 kN.
creating a system to effectively solve problems can help you out in many ways. what are some benefits you would like to see in your own life as you begin to apply the 4 step problem solving process you read about this week
Creating a system to effectively solve problems is important as it helps an individual or organization to accomplish the goals and objectives.
The 4 step problem solving process is an important approach for effective problem-solving.The 4 step problem solving process involves the following steps:Identifying the problemGathering information and analyzing the problemIdentifying possible solutionsEvaluating and selecting the best solution to the problem.Some of the benefits that one would like to see in their own life as they begin to apply the 4 step problem solving process are as follows:1. Better decision-making skills: The 4 step problem solving process helps individuals to make better decisions in their personal and professional lives. The process helps an individual to evaluate all possible solutions before choosing the best solution to the problem.2. Effective time management: The 4 step problem solving process helps an individual to solve problems quickly and efficiently, leading to effective time management. It helps an individual to focus on the important aspects of the problem and make quick decisions.3. Improved communication: The 4 step problem solving process involves gathering information, analyzing the problem, and identifying solutions. It also involves communicating with others to get more information or to help evaluate solutions.
Effective communication skills are important in this process, and this can be improved through practicing the 4 step problem solving process.4. Improved problem-solving skills: The 4 step problem solving process helps individuals to develop better problem-solving skills, which is important in both personal and professional life. It helps an individual to think critically and creatively to identify the best possible solutions to a problem. This skill can be useful in various situations, including work, school, and personal relationships.
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If the instantaneous voltage at a given moment in the circuit RL is V=VmaxSIN(150), then the instantaneous current at the...... same instant I=Imaxsin
The instantaneous current at the same moment in the RL circuit can be expressed as I = Imaxsin(150), where Imax represents the maximum current.
1. Given that the instantaneous voltage at a specific moment in the RL circuit is V = Vmaxsin(150).
2. We can express the current at the same moment using Ohm's Law, which states that V = IR, where V is voltage, I is current, and R is resistance.
3. In an RL circuit, the resistance is represented by the symbol R, and it is typically associated with the resistance of the wire or any resistors in the circuit.
4. However, the given equation does not explicitly mention resistance.
5. Since we are considering an RL circuit, it suggests the presence of inductance (L) along with resistance (R).
6. In an RL circuit, the voltage across the inductor (VL) can be expressed as VL = L(di/dt), where L is the inductance and di/dt represents the rate of change of current.
7. At any given instant, the total voltage across the circuit (V) can be expressed as the sum of the voltage across the resistor (VR) and the voltage across the inductor (VL).
8. Therefore, V = VR + VL.
9. Since the given equation represents the instantaneous voltage (V), we can deduce that V = VR.
10. By comparing V = VR with Ohm's Law (V = IR), we can conclude that I = Imaxsin(150), where Imax represents the maximum current.
The specific values of Vmax, Imax, and the phase angle have not been provided in the question, so we are working with the general expression.
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