9038 kJ of heat is absorbed by the air assuming some air escapes through the cracks as the heated air in the house expands at constant pressure, and cost of this heat if the unit cost of electricity in that area is $0.075/kWh is $0.19.
What is pressure?In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a point within a confined fluid.
A 42-pound box with a bottom area of 84 square inches will press down on a surface with a pressure equal to the force divided by the area over which it is applied, or half a pound per square inch.
The specific heat of air at room temperature is
\(C_p\) = 1.007 kJ/kg⋅°C
The volume and mass of the air in the house are
V = Floor space × height
= (200 m² )(3m)
= 600 m ³
Mass = PV/RT
= \(\frac{(1013 kPa)(600 m^3 )}{(0287 kPa.m/kg.K)(10+273.15 K)}\)
= 7479 kg
The amount of heat that must be transferred to the air in the house as it is heated from 10 to 22°C is calculated, taking into account that the pressure in the house remains constant during heating, as follows:
Q = \(mC_p\) \((T_2 - T_1)\)
= (747.9 kg)(1.007 kJ/kg⋅ °C)(22 – 10) °C
= 9038 kJ
Noting that 1 kWh = 3600 kJ, the cost of this electrical energy at a unit cost of $0.075/kWh is
Enegy Cost = (Energy used)(Unit cost of energy)
= (9038/3600 kWh)($0.075/kWh)
= $0.19
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80g of kerosene was burned to raise the temperature of 3 l of water to 90c ⁰C. What is the efficiency of the burner?
Answer:
363
Explanation:
80g of kerosene was burned to raise the temperature
k = 90+273
= 363
A skydiver jumped from a plane. As she fell, her speed kept increasing until it reached terminal velocity of 150 miles per hour at 15 seconds. At terminal velocity, an object's speed (velocity) stops increasing due to air resistance. At 40 seconds after her jump from the plane, she opened her parachute. After the parachute opened, her descent speed rapidly decreased until it reached 20 miles per hour just after 60 seconds into the dive. Which of these graphs best represents the skydiver's kinetic energy during her dive?
The graph that best represents the skydiver's kinetic energy during her dive is a graph that starts at 0 at the beginning of the dive, increases to a peak at 15 seconds when the skydiver reaches terminal velocity, and then decreases rapidly after 40 seconds when the parachute is opened.
Suppose a ball is thrown vertically upward (positive direction) from an initial height LaTeX: h_0 with initial velocity LaTeX: v_0. Find the position function LaTeX: s(t) of the ball after LaTeX: t seconds assuming the gravitational acceleration LaTeX: g is a positive constant pointing downward (negative direction).
After time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
The given parameters;
initial velocity of the ball, = \(v_0\)initial position of the ball, = \(h_0\)acceleration due to gravity, = gThe position function of the ball after time t, is calculated as follows;
\(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
The negative sign of acceleration of due to gravity is because the ball is moving upward against gravity.
Thus, after time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
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How can you serve the community through NSTP subject
Answer:
The answer is below
Explanation:
NSPT is an acronym for the National Service Training Program. It deals with the individual's role in society building. Most specifically, the youths in areas such as physical, ethical, virtuous, intellectual, and social well-being.
One can serve the community through the NSTP subject, by involving in creating awareness in literacy and social welfare undertakings, mostly during emergencies and mishaps, or be part of the Citizen Armed Force.
All images in plane mirrors are ____Is it upright, inverted, enlarged, or reduced?
ANSWER
Upright
EXPLANATION
The image formed by a plane mirror is always behind the mirror - so it is a virtual image. Also, the image and the object are the same sizes and the same distance from the mirror and the image is upright.
Hence, all images in plane mirrors are upright.
A scientist asks, "Does a skateboard move faster on sand or gravel?" Which
experiment could answer this question?
A. Weigh 1 gallon of sand, then roll a skateboard on that sand.
B. Roll a skateboard on sand, then roll it on gravel.
C. Push a skateboard down a gravel hill, then push the skateboard on the
road.
O A
OB
O C
HINT
SUBMIT
Roll a skateboard on sand, then roll it on gravel. - this experiment could answer this question. Hence, option (B) is correct.
What is experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The purpose and scope of experiments vary widely, but they all rely on a repeatable process and a logical examination of the outcomes. Natural experimental experiments are also a thing.
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A spring is resting vertically on a table. A small box is dropped onto the top of the spring and compresses it. Suppose the spring has a
spring constant of 300 N/m and the box has a mass of 1.9 kg. The speed of the box just before it makes contact with the spring is 0.39
m/s.
(a) Determine the magnitude of the spring's displacement at an instant when the acceleration of the box is zero.
(b) What is the magnitude of the spring's displacement when the spring is fully compressed?
(a) The magnitude of the spring's displacement when the acceleration of the box is zero can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.
(b) The magnitude of the spring's displacement when the spring is fully compressed can be determined by equating the initial gravitational potential energy to the elastic potential energy stored in the spring.
(a) To determine the magnitude of the spring's displacement when the acceleration of the box is zero, we need to apply the principles of conservation of energy.
Initially, the box has gravitational potential energy given by mgh, where m is the mass of the box, g is the acceleration due to gravity, and h is the height from which the box was dropped. The initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring and the kinetic energy of the box just before it makes contact with the spring.
The gravitational potential energy is given by:
mgh = (1.9 kg)\((9.8 m/s^2)h\)
The elastic potential energy stored in the spring is given by:
1/2 kx^2\(kx^2\), where k is the spring constant and x is the displacement of the spring.
The kinetic energy of the box just before it makes contact with the spring is given by:
\(1/2 mv^2,\) where m is the mass of the box and v is the speed of the box.
Since the acceleration of the box is zero at the instant when the spring's displacement is maximum, the kinetic energy is zero. Therefore, we can equate the initial gravitational potential energy to the elastic potential energy to find the spring's displacement.
mgh = 1/2 \(kx^2\)
Substituting the given values, we have:
\((1.9 kg)(9.8 m/s^2)h = 1/2 (300 N/m)x^2\)
Solving for x, the magnitude of the spring's displacement, we can determine its value at the instant when the acceleration is zero.
(b) To find the magnitude of the spring's displacement when the spring is fully compressed, we need to consider the conservation of mechanical energy once again.
At maximum compression, all the initial gravitational potential energy is converted into the elastic potential energy stored in the compressed spring.
mgh = 1/2 \(kx^2\)
Substituting the given values and solving for x, the magnitude of the spring's displacement, we can determine its value when the spring is fully compressed.
It's important to note that in both cases, the negative sign of the displacement indicates that the spring is being compressed. The magnitude of the displacement will be a positive value.
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4. Calculate the total resistance of the circuit if R1=4 Ω, R2=30 Ω, R3=10Ω, R4=5Ω Determine the current strength if the circuit is connected to a voltage source with a voltage of 56 V
The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.
To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.
Given:
R1 = 4 Ω
R2 = 30 Ω
R3 = 10 Ω
R4 = 5 Ω
Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:
RT1-2 = R1 + R2
RT1-2 = 4 Ω + 30 Ω
RT1-2 = 34 Ω
Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:
1/RTotal = 1/RT1-2 + 1/R3
1/RTotal = 1/34 Ω + 1/10 Ω
1/RTotal = (10 + 34) / (34 * 10) Ω
1/RTotal = 44 / 340 Ω
1/RTotal ≈ 0.1294 Ω
RTotal ≈ 1 / 0.1294 Ω
RTotal ≈ 7.74 Ω
Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:
RTotalCircuit = RTotal + R4
RTotalCircuit = 7.74 Ω + 5 Ω
RTotalCircuit ≈ 12.74 Ω
Therefore, the total resistance of the circuit is approximately 12.74 Ω.
To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:
I = V / RTotalCircuit
I = 56 V / 12.74 Ω
I ≈ 4.39 A
Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).
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Help me out here please!!!
Answer:
I beleive the answer is d
Explanation:
This is beause theball starts going back down because the velocity slows down.
Answer:
d
Explanation:
the velocity changes as it goes down
Ebo throws a ball into the air. Its velocity at the start is 18 m/s at an angle of 37° to the ground. a) Express the initial velocity in component vector form. b) Work out the velocity of the ball as it lands. Give your answer in component vector form. c) Work out the range of the ball. d) What assumptions have been made about the frame of reference?
(a) The initial velocity in component vector form is (14.38 i + 10.83 j), m/s.
(b) The velocity of the ball as it lands in component vector form is (14.38 i + 10.88 j), m/s.
(c) The range of the ball is 31.78 m.
(d) The assumption made about frame of reference is that the frame of reference is ground level and the ball returned to the ground level after projection.
What is the component vector form of the initial velocity?The component vector form of the initial velocity if written as;
Vx = V cosθ
Vy = V sinθ
where;
Vx is the horizontal component of the velocityVy is the vertical component of the velocityθ is the angle of projectionVx = 18 m/s x cos(37) = 14.38 i, m/s
Vy = 18 m/s x sin(37) = 10.83 j, m/s
Vi = (14.38 i + 10.83 j), m/s
The time of motion of the ball to reach maximum height is calculated as follows;
t = (Vsinθ)/g
t = (18 x sin37)/g
t = (10.83)/9.8
t = 1.11 s
The final vertical velocity of the ball is calculated as;
Vyf = Vh + gt
where;
Vyf is the final vertical velocity Vh is the velocity of the ball at maximum height = 0t is time to reach maximum heightVfy = 0 + 1.11 x 9.8
Vyf = 10.88 m/s
The final horizontal velocity will be equal to initial horizontal velocity since horizontal motion is not affected by gravity.
The velocity of the ball when it lands in component vector form is;
Vf = (Vxf + Vyf), m/s
Vf = (14.38 i + 10.88 j), m/s
The range of the ball is calculated as;
R = (V²sin2θ)/g
R = (18² x sin(2 x 37))/9.8
R = 31.78 m
The assumption made of about frame of reference;
the frame of reference is ground levelthe ball returned to the ground level after projectionThus, the assumption that have been made about the frame of reference is that is was projected from a ground level and returned to the same ground level.
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How might writing an online journal be different than writing in a paper one?
A. It's ok to talk badly about people in an
online journal.
O B. It's easier to communicate online.
O C. You should expect less privacy.
O D. You should expect more privacy.
Writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online (option B).
What is a journal?A journal is a newspaper or magazine dealing with a particular subject.
A journal is an efficient medium to communicate the findings or results of an investigation to the public.
However, a journal can be virtual (online) or paper (hard copy). In this 21st century, it is easier to communicate to the masses online because more audience will be captured.
Therefore, writing in an online journal is different from writing in a paper one in the following way: it is easier to communicate online.
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Aphids are a type of insects that sucks the sap out of certain types of plants, including potatoes. Not only do they physically damage and weaken the potato plants, but they can also infect them with diseases.
Which of the following examples shows a relationship that is most like that of the aphid and potato plants?
Answer Choices:
A. Crop plants must compete with weeds for available resources like nutrients, water, and space.
B. Anemones protect clownfish from predators while benefiting from nutrients in the waste of the fish.
C. The mistletoe plant attaches to trees and extracts nutrients for itself, which stunts tree growth.
D. Remora fish attach to sharks, eat scraps off the shark's prey, and remove parasites from the shark's skin.
Is a light bulb that is on potential or kinetic?
Answer:
pretty sure its kinetic
Explanation:
Answer:
Kinetic
Explanation:
The stored chemical potential energy of a battery converts to electrical kinetic energy to transport electricity to a light bulb, which radiates thermal kinetic energy.
A high school physics student is sitting in a seat read-
ing this question. The magnitude of the force with
which the seat is pushing up on the student to sup-
port him is closest to
The equilibrium condition allows finding the result for the force that the chair exerts on the student is:
The reaction force that the chair exerts on the student's support is equal to the student's weight.
Newton's second law gives the relationship between force, mass and acceleration of bodies, in the special case that the acceleration is is zero equilibrium condition.
∑ F = 0
Where F is the external force.
The free body diagram is a diagram of the forces on bodies without the details of the shape of the body, in the attached we can see a diagram of the forces.
Let's analyze the force on the chair.
\(N_{chair} - W_{chair} - W_{student} = 0 \\ \\N_{chair} = W_{chair} + W_{student}\)
Let's analyze the forces on the student.
\(N_{student} - W_{student} = 0 \\N_{student} = W _{student}\)
In conclusion using the equilibrium condition we can find the result for the force that the chair exerts on the student is:
The reaction force that the chair exerts on the student's support is equal to the student's weight.
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Answer:600N
Explanation:
An athlete can jump a horizontal distance of 6.54 m in the broad jump
All else being equal (same launch speed, same launch angle), what would be the broad jump distance (in meters) on a planet whose acceleration due to gravity has a value of 4.94 m/s2?
An athlete can jump a horizontal distance of 6.54 m in the broad jump. All else being equal (same launch speed, same launch angle), acceleration due to gravity has a value of 4.94 m/S² is = 32.3076 m.
To find the Height jumped by athlete on the planet, (y₂) the given data's are:
Height jumped by athlete on Earth (y₁) = 6.54 m
Acceleration on the planet = 4.94 m/s².
What is equation of motion?We know that, equation of motion can be defined as the displacement is directly proportional to the gravitational acceleration keeping the remaining quantities constant.
So, y ∝ g
Using the proportion equation for the planet and the Earth, then,
y₁ / gE = y₂ / gm
where as,
gm = gE × 4.94 m/s².
Substituting the values, we get,
y₂ = y₁ / gE × gm
y₂ = 6.54 × 4.94
= 32.3076 m.
Therefore, the height of the athlete can move is 32.3076 m.
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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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When solving problems involving forces and Newton's laws, the following summary of things to do will start your mind thinking about getting involved in the problem at hand.
When solving problems involving forces and Newton'
Apply these steps
Use the steps outlined above to find the magnitude of the acceleration a of a chair and the magnitude of the normal force FN acting on the chair: Yusef pushes a chair of mass m = 50.0 kg across a carpeted floor with a force Fp (the subscript 'p' here is lowercase and throughout the question) of magnitude Fp = 168 N directed at ? = 35.0 degrees below the horizontal. The magnitude of the kinetic frictional force between the carpet and the chair is Fk= 99.7 N .
Part A
Identify and sketch all the external forces acting on the chair. Because the chair can be represented as a point particle of mass m, draw the forces with their tails centered on the black dot in the middle of the chair. Be certain to draw your forces so that they have the correct orientation.
Draw the vectors starting at the black dot. The location and orientation of the vectors will be graded. The length of the vectors will not be graded.
Answer:
Explanation:
There is no acceleration in vertical direction
Fn = mg + Fp sin 35
Frictional force = 99.7 N
Net force in forward direction = Fp cos 35 - 99.7
= 168 cos 35 - 99.7
= 137.61-99.7
= 37.91 N
net acceleration of chair = net force / mass
= 37.91 / 50
= .7582 m / s² .
A large box slides across a frictionless surface with a velocity of 12 m/s and a mass of 4
kg, collides with a smaller box with a mass of 2 kg that is stationary. The boxes stick
together. What is the velocity of the two combined masses after collision?
8 m/s
O m/s
12 m/s
4 m/s
us 12:18
what is attribute conformity? what is the resulting decision from attribute measurement results?
Attribute conformity is one that classifies each item in the sample as either having some attribute or not having it.
Variation present in your measurement system will affect the quality of the product and can damage your company's brand.
Purpose of Attribute measurement system analysis:
Accuracy check:
To access the customer standard, need to fulfill the customer's requirement, which means MSA performs to identify how good is our measurement system with our masters.
Precision check:
To determine that, the inspector can measure correctly. Is he checking with the same criteria across all shifts, machines, etc… to measure and evaluate parts and also called Repeatability
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How do you calculate the total current of a parallel circuit of resistors?
In a parallel circuit of resistors the total current of the circuit is the sum of the current in each branch. Which means that:
\(I_T=I_1+I_2+\cdot\cdot\cdot+I_n\)where n is the number of branches on the circuit.
A tow truck drags a stalled car along a road. The chain makes an angle of 30° with the road and the tension in the chain is 1400 N. How much work is done by the truck in pulling the car 1 km? (Round your answer to the nearest ten thousand.)
Answer:
The work is done by the truck pulling the car 1 km is 1,212,436 J
Explanation:
Work is defined as the force that is applied on a body to move it from one point to another. When a force is applied, an energy transfer occurs. Then it can be said that work is energy in motion.
So work is one of the forms of energy transmission between bodies. To perform a job, you must exert a force on a body and it moves.
In the International System of Units, work is measured in Joule. A Joule is the work that a constant force of 1 Newton does on a body that moves 1 meter in the same direction and direction as the force. Then, Joule is equivalent to Newton per meter.
The work is equal to the product of the force by the distance and by the cosine of the angle that exists between the direction of the force and the direction that travels the point or the object that moves:
Work= Force*Distante* cos (θ)
In this case:
Force= 1,400 N= 1,400 \(kg*\frac{m}{s^{2} }\)Distance= 1 km= 1,000 mθ= Angle that exists between the direction of the force and the direction= 30°Replacing:
Work= 1,400 N* 1,000 m* cos (30°)
Work= 1,212,435. 565 Joule≅ 1,212,436 J
The work is done by the truck pulling the car 1 km is 1,212,436 J
When a ball is thrown straight up with no air Resistance, the acceleration is in what direction ?
Answer:
The ball has a velocity upwards but the acceleration is downwards. Gravity is giving the ball a downwards acceleration from the moment the ball leaves the hands.
You are in Paris, 50. m up on an Eiffel Tower support leg observation deck. If you throw a euro downward at a velocity of -1.0 m/s, how long would it take the coin to hit the ground?
Here’s my work to your question. I used kinematic equations to solve. :)
volcanoes tend to erupt at places where
1: Two Plates Collide
2: two plates rub past each other
3: one plate moves under another
4: one plate moves away from another
Answer:
it is 3
Explanation:
because the crack will be open for the magma to come out
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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A 70kg student, happy to see snow in early
November, rushes out to sled on a hill with a 10kg
sled. They start h=12m above a horizontal plane.
How fast are they moving by the time they reach
the bottom of the hill? (assume the coefficient of
friction is zero here) After a short distance the
reach a point where there are some dry leaves are
scattered producing an effective coefficient of
friction uk=0.4. How far do they travel through the leaves before they
come to rest?
Use the fundamental principle
(a) The speed of the student at the bottom of the hill is 15.34 m/s.
(b) The speed of the student at the presence of friction force is 11.88 m/s.
What is the speed of the student at the bottom of the hill?
The speed of the student at the bottom of the hill is calculated by applying the principle of conservation of energy as shown below.
Kinetic energy at the bottom hill = potential energy at maximum height
¹/₂mv² = mgh
where;
m is mass of the studentv is the speed of the speed of the student at bottom hillh is the height of the hillv² = 2gh
v = √2gh
v = √(2 x 9.8 x 12)
v = 15.34 m/s
The speed of the student at the presence of friction force is calculated as;
Kinetic energy at the bottom hill + work done against friction = potential energy at maximum height
¹/₂mv² + μmgh = mgh
¹/₂v² + μgh = gh
v² + 2μgh = 2gh
v² = 2gh - 2μgh
v² = (2 x 9.8 x 12) - (2 x 0.4 x 9.8 x 12)
v² = 141.12
v = √141.12
v = 11.88 m/s
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1. David Purley, a racing driver, survived deceleration from 173 km/h (about 107
mph) to 0 km/h over a distance of 0.660 m when his car crashed. Assume that
Purley's mass is 70.0 kg. What is the average force acting on him during the
crash? Compare this force to Purley's weight.
Average force acting on Purley is -1749m/\(s^{2}\).
What is Newton's second law of motion?
According to this, a body's momentum changes at a rate that is equal to the force acting on it over time in both magnitude and direction. A body's momentum is determined by multiplying its mass by its speed.
Given,
According to newton's second law of motion:
F =ma
Purley's initial speed = 173km/h
Final speed = 0
Distance traveled = 0.66 m
So, \(v_{i}\) = 172 km/h × 1 hr/3600 s × 1000m/1km
\(v_{i}\) = 48.1 m/s
By using kinematics
\(v^{2} f\) = \(v^{2} i\) + 2ad
\(0^{2}\) = 48.\(1^{2}\) + 2a(0.66)
-1.32a = 2309
a= -1749 m/\(s^{2}\)
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1. Given a force-displacement curve as shown in the figure, what does the area of the region enclosed by the curve represent?
From the given figure, we have a force-displacement curve.
Let's determine what the area of the region enclosed by the curve represents.
Given that the curve is a force-displacement curve, the area of the region under the curve represents the work done by the force on the object.
Here, the distance of the distance of the object is displaced by the force.
Thus, we can say the displacement(x) is represented on the x-axis, while the force(f) is represented on the y-axis.
Therefore, the area of the region enclosed by the curve represents the work done on the object by the force.
ANSWER:
The work done on the object by the force
Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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Which multiplier does the word kilo represent? A. 100 B. 1,000 C. `(1)/(100)` D. `(1)/(10)`
Answer:
A. 1,000
Explanation:
Kilo is the prefix for thousands, thus, the multiplier that kilo represents is 1,000
A. 1,000
Answer:
B. 1,000
Explanation:
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