The correct forms of the conservation of energy equation are chosen for different scenarios based on the type of energy transformations occurring. For a toaster, ΔEint = Q is more appropriate. For a car moving from a gas station, ΔK = W + Q and ΔU = W + Q are relevant. When eating a sandwich, ΔEint = W + Q is appropriate. For a house with constant temperature, 0 = Q + TMT + TET + TER is relevant.
Explanation:The conservation of energy equation in physics considers various energy forms in the system, including kinetic energy (represented as ΔK), potential energy (represented as ΔU), and internal energy (represented as ΔEint). In each scenario, different energy forms come into play.
(a) For the toaster, the main transformation involves electrical energy is being converted into heat energy due to the heating coils' resistance. Therefore, the equation best suited for this scenario is ΔEint = Q , which signifies the increase in internal energy as equivalent to the heat gained.(b) For a car moving from a gas station, the potential and kinetic energies are of relevance. Therefore, ΔK = W + Q and ΔU = W + Q are more relevant as they represent the changes in kinetic and potential energies as equivalent to work done and heat transferred.(c) When you're eating a sandwich, the body is primarily converting the sandwich's chemical energy into internal energy, making ΔEint = W + Q the best equation.(d) When the temperature inside the house remains constant, and there is no kinetic or potential energy involved, the conservation of energy equation simplifies to 0 = Q + TMT + TET + TER as there is no energy being added or lost.Learn more about Conservation of Energy here:https://brainly.com/question/35373077
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a 3,000kg truck runs into the rear of a 1000kg car that was stationary. The truck and car are locked together after the collision and move with speed 9m/s what was the speed of the truck before the collision?
Using the law of conservation of momentum, which states that initial momentum equals final momentum in a closed system, the initial speed of the truck before it collided with the stationary car is calculated to have been 12 m/s.
Explanation:This question pertains to the concept of momentum in physics. The law of conservation of momentum states that the total momentum of a system of objects is constant if no external forces are acting on it. In this case, the truck and the car form the system of objects.
The initial momentum of the system before the collision is given by the momentum of the truck, since the car is stationary. The final momentum after the collision is given by the combined mass of the truck and car, multiplied by their common speed.
So, if we denote the initial speed of the truck as V, we have: 3000kg * V (initial momentum of truck) = (3000kg + 1000kg) * 9m/s (final momentum of the system)
Solving for V, we find the initial speed of the truck to have been 12 m/s.
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An electric heater is constructed by applying a potential difference of 120 v to a nichrome wire that has a total resistance of 6.00 . find the current carried by the wire and the power rating of the heater.
The current carried by the wire and the power rating of the heater are 20 A and 2400 W respectively.
Given data:
The potential difference across the electric heater is, V' = 120 V.
The total resistance of the nichrome wire is, [tex]R= 6.00 \;\rm \Omega[/tex].
First we need to apply the Ohm's law to find the current through the wire. The expression for the Ohm's law is given as,
[tex]V'= I \times R\\\\I =\dfrac{V'}{R}\\\\I =\dfrac{120}{6}\\\\I=20 \;\rm A[/tex]
Now, the expression for the electric power through the heater is given as,
[tex]P= V \times I\\\\P= 120 \times 20\\\\P =2400 \;\rm W[/tex]
Thus, we can conclude that the current carried by the wire and the power rating of the heater are 20 A and 2400 W respectively.
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Suppose a person standing on the top of a building of 160 ft high throws a ball directly upward with an initial speed of 48 ft/s.
a.find the ball's height, velocity and acceleration at time t.
b.when does the ball hit the ground and what is its impact velocity?
c.how far does the ball travel during its fligh
A rollercoaster car, 300 kg with passengers, accelerates down a 65 degree hill. we will assume that friction is small enough that it can be ignored. 1) determine the value of the component of the gravitational force parallel to the hill. 2) what is the acceleration of the rollercoaster down t
The component of the gravitational force parallel to the hill is mg⋅sin(65°). The acceleration of the rollercoaster down the hill is (mg⋅sin(65°))/m.
Explanation:To determine the value of the component of the gravitational force parallel to the hill, we can use trigonometry. The component of the weight parallel to the hill is given by the equation mg⋅sinθ. In this case, θ is 65 degrees. So the value of the component of the gravitational force parallel to the hill is mg⋅sin(65°).
To find the acceleration of the rollercoaster down the hill, we can use Newton's second law, which states that force equals mass times acceleration. In this case, the force is the component of the gravitational force parallel to the hill, and the mass is given as 300 kg with passengers. So the acceleration is a = F/m = (mg⋅sin(65°))/m.
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A 1.4 v d-cell battery is rated at 15,000 ma⋅h. part a for how long could such a battery power a flashlight bulb rated at 1.1 w ?
Express 4,560 m in km. Remember to keep the same number of significant figures in your answer as was in the original measurement.
Answer:
4560m=4.560km
Explanation:
Analysis conceptual
We know that:
1km=1000m
Then, the conversion factor from meters to kilometers is: 1km/1000m
Known data:
4560 m
problem development
We multiply the amount given in m by the conversion factor (1km/1000m ):
[tex]4560 m(\frac{1km}{1000m} )=4.560km[/tex]
4560m=4.560km
where do you bump into neon in everyday life
A car traveling at a steady 20 m/s rounds an 80-m radius horizontal unbanked curve with the tires on the verge of slipping. what is the maximum speed with which this car can round a second unbanked curve of radius 320 m if the coefficient of static friction between the car's tires and the road surface is the same in both cases?
The maximum speed with which this car can round a second unbanked curve is 40 m/s
[tex]\texttt{ }[/tex]
Further explanationCentripetal Acceleration can be formulated as follows:
[tex]\large {\boxed {a = \frac{ v^2 } { R } }[/tex]
a = Centripetal Acceleration ( m/s² )
v = Tangential Speed of Particle ( m/s )
R = Radius of Circular Motion ( m )
[tex]\texttt{ }[/tex]
Centripetal Force can be formulated as follows:
[tex]\large {\boxed {F = m \frac{ v^2 } { R } }[/tex]
F = Centripetal Force ( m/s² )
m = mass of Particle ( kg )
v = Tangential Speed of Particle ( m/s )
R = Radius of Circular Motion ( m )
Let us now tackle the problem !
[tex]\texttt{ }[/tex]
Given:
initial speed of the car = v₁ = 20 m/s
radius of first curve = R₁ = 80 m
radius of second curve = R₂ = 320 m
Asked:
final speed of the car = v₂ = ?
Solution:
Firstly , we will derive the formula to calculate the maximum speed of the car:
[tex]\Sigma F = ma[/tex]
[tex]f = m \frac{v^2}{R}[/tex]
[tex]\mu N = m \frac{v^2}{R}[/tex]
[tex]\mu m g = m \frac{v^2}{R}[/tex]
[tex]\mu g = \frac{v^2}{R}[/tex]
[tex]v^2 = \mu g R[/tex]
[tex]\boxed {v = \sqrt { \mu g R } }[/tex]
[tex]\texttt{ }[/tex]
Next , we will compare the maximum speed of the car on the first curve and on the second curve:
[tex]v_1 : v_2 = \sqrt { \mu g R_1 } : \sqrt { \mu g R_2 }[/tex]
[tex]v_1 : v_2 = \sqrt { R_1 } : \sqrt { R_2 }[/tex]
[tex]20 : v_2 = \sqrt { 80 } : \sqrt { 320 }[/tex]
[tex]20 : v_2 = 1 : 2[/tex]
[tex]v_2 = 2(20)[/tex]
[tex]\boxed {v_2 = 40 \texttt{ m/s}}[/tex]
[tex]\texttt{ }[/tex]
Learn moreImpacts of Gravity : https://brainly.com/question/5330244Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454The Acceleration Due To Gravity : https://brainly.com/question/4189441[tex]\texttt{ }[/tex]
Answer detailsGrade: High School
Subject: Physics
Chapter: Circular Motion
in the 1960s what dance was being created in the west coast
In the 1960s, the West Coast saw the rise of Surf Rock, a dance style associated with the beach culture and the Black Arts Movement which promoted a blend of traditional and contemporary African American dance styles.
Explanation:In the 1960s, on the West Coast, particularly in California, a new dance style known as Surf Rock emerged. This musical and dance movement was a product of the beach culture prevalent there. Bands like the Kingsmen and the Ventures popularized this genre, and the music often emphasized guitar riffs and had less focus on the lyrics, a shift influenced by the noisy dance halls where the bands performed. The dance associated with Surf Rock was an energetic response to the instrumental tunes and was part of the broader youth culture's expression at the time.
While Surf Rock mainly dominated, there were also important contributions to dance from African American communities. The Black Arts Movement arose during the 1960s and celebrated "Black Dance," which was a blend of different dance styles that included historical and traditional elements of African heritage. This movement was part of a broader spectrum of cultural expression during the decade which sought to empower and reconnect with African American roots.
Final answer:
During the 1960s, the West Coast saw the rise of Surf Rock, a dance genre closely connected to the laid-back, free-spirited surfing lifestyle and characterized by instrumental rock music.
Explanation:
In the 1960s, on the West Coast, particularly in California, a dance movement that emerged was Surf Rock. This genre of music created a unique dance vibe and culture, mostly due to its instrumental focus and connection with the surf scene. Surf Rock music was linked to a style of guitar-led rock music that often had a strong association with the surfing culture and lifestyle associated with Southern California. It helped define a youthful, beach-oriented counterculture that was free-spirited and often synonymous with the freedom and allure of the West Coast. Bands like the Kingsmen, famous for 'Louie Louie', and the Ventures with 'Walk Don't Run', became the soundscape of this era, influencing the dances that accompanied their music.
Kepler used the observations and data of which scientist to formulate his laws of planetary motion?
you ask people to rate there depression on a scale of 1 to 10 their respnses are a (n)___in your study. a.variable b.discrete v c.observation d.hidden v
A 0.24-kg stone is held 1.2 m above the top edge of a water well and then dropped into it. the well has a depth of 4.8 m. (a) relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stoneâearth system before the stone is released? 14.112 incorrect: your answer is incorrect. your response differs from the correct answer by more than 100%. j (b) relative to the configuration with the stone at the top edge of the well, what is the gravitational potential energy of the stoneâearth system when it reaches the bottom of the well? 0 incorrect: your answer is incorrect. the correct answer is not zero. j (c) what is the change in gravitational potential energy of the system from release to reaching the bottom of the well?
When an experiment is replicated, how should the results of the two experiments compare?
Answer:
Should be same
Explanation:
An experiment is conducted to test a theory. It is expected that the result of the experiment would match with the theoretical result. Also, if the experiment is repeated by the same or another person, it should give the same result. If not, then either there is error in conduction of experiment or in the theory.
When monochromatic light is incident for a short period of time on a thin barrier having two slits, how will a screen placed in front of the slits appear?
Answer:
Interference pattern- alternate bright and dark fringes
Explanation:
When a monochromatic light is incident on a thin barrier having two slits, an interference pattern can be observed.
Dark and bright fringes would appear on the screen placed in front of it. It would not be random pattern. It would be a smooth pattern with distinctive dark fringe and bright fringe alternatively.
When the light from two source would superimpose, a constructive interference would lead to bright fringe and destructive interference would lead to dark fringe.
You are facing North. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse direction. In which direction are you now facing?
You are facing North. Turn 90 degrees left. W.
Turn 180 degrees right. E.
Reverse direction. W.
Turn 45 degrees left. S.W.
Reverse direction. N.E.
In which direction are you now facing? North East
Which properties of plastics allow them to be solutions to many complex problems in the world? Check all that apply. A.chemically resistant B. durable C. non-reactive D. high weight E. easy to manufacture
Answer: A, B, C, E
Explanation:
Plastics have a number of properties that make them useful solutions to many complex problems in the world, such as being chemically resistant, durable, non-reactive, and easy to manufacture, which are options A, B, C, and E.
What is plastic?Plastics have a number of properties that make them a popular choice in many industries, such as chemical resistance, which is one of the most important properties of plastics, as they can resist a wide range of chemicals, including acids, bases, and solvents, which makes them ideal for use in chemical processing, pharmaceuticals, and food packaging. Durability is another important property of plastics.
They are resistant to wear and tear, impact, and weathering, which makes them suitable for use in various applications, such as building materials, automotive parts, and toys. Plastics are also non-reactive, which means that they do not react with other materials.
Hence, the correct answers are chemically resistant, durable, non-reactive, and easy to manufacture, which are options A, B, C, and E.
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Write a hypothesis about how the height of the cylinder affects the temperature of the water. Use the "if . . . then . . . because . . .” format and be sure to answer the lesson question: "How is potential energy converted to thermal energy in a system?”
Sample Response: If the height of the cylinder increases, the temperature of the water increases, because a greater height means the cylinder has more potential energy that can be converted to thermal energy, increasing the temperature of the water.
Problem 7.46 - enhanced - with feedback a 200 g , 25-cm-diameter plastic disk is spun on an axle through its center by an electric motor. you may want to review ( pages 211 - 213) . part a what torque must the motor supply to take the disk from 0 to 2000 rpm in 4.6 s ?
You hold a bucket in one hand. in the bucket is a 500 g rock. you swing the bucket so the rock moves in a vertical circle 2.6 m in diameter. part a what is the minimum speed the rock must have at the top of the circle if it is to always stay in contact with the bottom of the bucket?
The minimum speed the rock must have at the top of the circular path to always stay in contact with the bottom of the bucket is approximately 5.04 m/s, based on principles of circular motion and gravitational force.
Explanation:This problem can be solved using the principles of circular motion and Newton's laws of motion. When the rock is at the top of the vertical circle, the minimum speed it should have is equal to the speed at the point where the gravitational force acting downwards equals the required centripetal force to maintain circular motion. To achieve this, you can use the formula v² = 2gy to find out the minimum velocity needed.
Given:
Mass of the rock (m) = 500g = 0.5kg
Gravitational acceleration (g) = 9.81m/s²
Radius of the circle (r), since diameter = 2.6m, r = d/2 = 1.3m
The minimum speed needed at the top of the circle, v, is found by rearranging the equation to v = √(2gr). Substituting the given values, we get: v = √(2*9.81m/s²*1.3m) = √(25.386) ≈ 5.04 m/s
So, the rock must have a minimum speed of 5.04 m/s at the top of its circular path to ensure it stays in the bucket.
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The scenario presented is a physics problem that involves the concepts of forces and circular motion. It necessitates determining the minimum velocity a rock must have when at the highest point of its circular path to maintain contact with the bucket. The calculated velocity required at the highest point of the trajectory, based on the provided diameter of the circle and the force of gravity, is approximately 3.5 m/s.
Explanation:The scenario is a physics problem that deals with centripetal force and gravity. The minimum speed the rock needs to have at the top of the circle to stay in contact with the bucket can be calculated using the centripetal acceleration equation, ac = v²/r. Here, we know that the centripetal acceleration must be at least equal to gravity (9.8 m/s²) to maintain contact. We also know that the radius (r) of the circle is the diameter divided by two, which is 2.6m/2 = 1.3m. So, we can set up the equation 9.8m/s² = v²/1.3m, which when solved, gives us v = √(9.8m/s² * 1.3m) = √12.74 m²/s², resulting in v ≈ 3.5 m/s. So, the rock needs to travel at a speed of about 3.5 m/s at the top of the circle to stay in contact with the bucket.
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When baseball players throw the ball in from the outfield they usually allow?
A sports car accelerates from rest to 95km/h in 4.3 seconds. What is its average acceleration in m/s^2?
A comet is in an elliptical orbit around the sun. its closest approach to the sun is a distance of 4.5 1010 m (inside the orbit of mercury), at which point its speed is 9 104 m/s. its farthest distance from the sun is far beyond the orbit of pluto. what is its speed when it is 6 1012 m from the sun?
r1 = 5*10^10 m , r2 = 6*10^12 m
v1 = 9*10^4 m/s
From conservation of energy
K1 +U1 = K2 +U2
0.5mv1^2 - GMm/r1 = 0.5mv2^2 - GMm/r2
0.5v1^2 - GM/r1 = 0.5v2^2 - GM/r2
M is mass of sun = 1.98*10^30 kg
G = 6.67*10^-11 N.m^2/kg^2
0.5*(9*10^4)^2 - (6.67*10^-11*1.98*10^30/(5*10^10)) = 0.5v2^2 - (6.67*10^-11*1.98*10^30/(6*10^12))
v2 = 5.35*10^4 m/s
The speed of a comet in an elliptical orbit around the sun can be calculated using Kepler's second law, which states that a planet sweeps out equal areas in equal amounts of time. This means that when a comet is closer to the sun, it moves faster, and when it is farther away, it moves slower.
Explanation:The speed of a comet in an elliptical orbit around the sun can be calculated using Kepler's second law, which states that a planet sweeps out equal areas in equal amounts of time. This means that when a comet is closer to the sun, it moves faster, and when it is farther away, it moves slower. To find the speed of the comet when it is 6 x 10^12 m from the sun, we can use the fact that the area swept out by the comet is the same at both points. Using the distances given, we can calculate the speed of the comet when it is 6 x 10^12 m from the sun.
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Learning goal: to practice problem-solving strategy 6.1 work and kinetic energy. your cat "ms." (mass 8.50 kg ) is trying to make it to the top of a frictionless ramp 2.00 m long and inclined 19.0 ∘ above the horizontal. since the poor cat can't get any traction on the ramp, you push her up the entire length of the ramp by exerting a constant 41.0 n force parallel to the ramp. if ms. is moving at 1.90 m/s at the bottom of the ramp, what is her speed when she reaches the top of the incline?
Final answer:
To find the cat's speed at the top of the incline, we use the Work-Energy Theorem. The work done moving the cat up the ramp increases her kinetic energy, resulting in a final speed of 5.1 m/s.
Explanation:
To determine the speed of the cat at the top of the incline, we can apply the Work-Energy Theorem. The theorem states that the work done on an object is equal to the change in its kinetic energy. In mathematical terms, Work = ΔKE = KEfinal - KEinitial, where KE is kinetic energy given by ½mv2. The work done on the cat by pushing her up the ramp can be calculated as the force applied (parallel to the ramp) times the distance moved along the ramp, which is Work = Force × Distance = 41.0 N × 2.00 m = 82.0 J.
The initial kinetic energy of the cat can be calculated using her initial speed at the bottom of the ramp, KEinitial = ½ × 8.50 kg × (1.90 m/s)2. Plugging in the values, we get KEinitial = 15.33 J. The final kinetic energy at the top of the incline can be found by adding the work done to the initial kinetic energy: KEfinal = KEinitial + Work = 15.33 J + 82.0 J = 97.33 J. Solving for the final speed, we set KEfinal = ½ × 8.50 kg × v2 equal to 97.33 J and solve for v, finding that the cat's speed at the top of the ramp is 5.1 m/s.
What is the energy of a photon of this light, in ev ?
A block with a mass of 30 kg is located on a horizontal, frictionless tabletop. this block is connected by a rope to another block with a mass of 10 kg. the rope is looped through a pulley on the table's edge so that the less massive block is hanging over the edge. what is the magnitude of the acceleration of the larger block across the table
Final answer:
The magnitude of the acceleration of the larger block across the table is 2.45 m/s², calculated using the gravitational force acting on the hanging mass and applying Newton's second law to the system of both blocks.
Explanation:
To calculate the magnitude of the acceleration of the larger block across the table, we need to apply Newton's second law of motion which states that the force equals the mass times the acceleration (F = ma). In this scenario, only the gravitational force acting on the 10 kg hanging mass needs to be considered for the system of both blocks, as the table is frictionless and there are no other external forces acting on the horizontal block.
We calculate the gravitational force acting on the 10 kg block, which is the weight of the block (W = mg), where m is the mass and g is the gravitational acceleration (approximately 9.8 m/s2). For the 10 kg block, W = 10 kg × 9.8 m/s2 = 98 N. This force is the net force causing both blocks to accelerate, and because the rope is massless and the pulley is frictionless, the tension in the rope is uniform throughout.
The total mass of the system is 30 kg + 10 kg = 40 kg. Using the equation F = ma, rearrange to find acceleration (a = F/m). So the acceleration of the system is a = 98 N / 40 kg = 2.45 m/s2. Therefore, the magnitude of the acceleration of the larger block across the table is 2.45 m/s2.
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Compare and contrast angular momentum and linear momentum. Include two ways that they are alike and two ways that they are different. Be sure to discuss how mass affects both angular and linear momentum.
or an object with mass moving at a velocity , the angular momentum with respect to a reference point is defined using the cross product as:
where is the position vector of the object that describes the object’s position with respect to the reference point. The units for measuring angular momentum is kg m2 s-1. Since angular momentum is defined in terms of a cross product, the direction of the angular momentum vector is taken to be in a direction perpendicular to both the particle’s position vector and its velocity vector .
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A 6.50-kg object is hung from the bottom end of a vertical spring fastened to an overhead beam. the object is set into vertical oscillations having a period of 3.20 s. find the force constant of the spring.
A little boy sitting on the floor tosses a ball in such a way that it reaches the level of a tabletop several meters away, moving horizontally, and rolls across the tabletop at constant speed if friction with the air and the tabletop can be ignored, with what speed does the ball roll across the tabletop?
A skier leaves a ski jump with a horizontal velocity of 29.4 m/s. the instant before she lands three seconds later, the magnitudes of the horizontal and vertical components of her velocity are:
Answer:
The horizontal and vertical velocity of the skier are both 29.4 m/s.
Explanation:
If no forces are acting in the horizontal direction, then the horizontal component of the velocity remains constant in time:
Vx = 29.4 m/s
For the vertical component the gravity acceleration must be considered, and the vertical velocity can be written as:
Vy = g*t
Here the value for g is 9,8 m/s2. Note that the initial vertical velocity is zero.
Evaluating in the velocity’s expressions for a time of 3 seconds we obtain:
Vx = 29.4 m/s
Vy = 9.8 m/s2 * 3 s = 29.4 m/s
A man stands out at the end of the diving board, which is supported by two springs a and b, each having a stiffness of k = 15 kn/m. in the position shown the board is horizontal. if the man has a mass of 40kg, determine the angle of tilt which the board makes with the horizontal after he jumps off. neglect the weight of the board and assume it is rigid.