The resultant of the two displacements 2m at 30⁰ and 4m
at 120⁰ is 93.4 degree.
Describe displacement.Displacement is the process of removing something from its usual location or position and substituting another object in that space.
Given: The sum of the displacements at 30 degrees and 120 degrees, respectively, is 2 meters.
Currently, there are two displacements, which
R1 = 2 cos 30 – 4 cos 60
= 2 x √3 / 2 – 4 x 1 / 2
= √3 - 2
= 1.732 - 2
= - 0.268 m
R2 = 2 sin 30 + 4 sin 60
= 2 x 1/2 + 4 x √3 / 2
= 1 + 2 √3
= 1 + 2 (1.732)
= 1 + 3.464
= 4.464 m
Now R = √R 1^2 + R2^2
= √(-0.268)^2 + (4.464)^2
= √0.0718 + 19.927
= √19.999
= 4.472 m
Now tan Q = R 2 / R1
= 4.464 / - 0.268
= - 16.656
Or Q = - 86.6 degree
Now the outcome will be 180 – 86.6 = 93.4 degree
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specifications require the oil filter for your car to be tightened with a torque of 30 n⋅m. you are using a 15-cm-long oil filter wrench, and you apply a force at the very end of the wrench in the direction that produces maximum torque. part a how much force should you apply?
The oil filter for our car to be tightened with a torque of 30 n⋅m. we are using a 15-cm-long oil filter wrench, and we apply a force at the very end of the wrench in the direction that produces maximum torque is 200N.
What is a force?A force is an effect that can alter an object's motion according to the physics. A force can cause object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe the force is as a push or a pull. A force is a vector quantity since it has both the magnitude and direction. It is calculated using newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to the mass of the object if the object's mass is constant.
Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes the changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts the stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of the stress that, if unbalanced, can cause the body to accelerate. Pressure is distribution of several small forces applied over an area of a body. Stress typically results in flow of fluids or the deformation of solid materials.
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a sled (mass 500 kg) is pulled across a stone floor with a coefficient of kinetic friction of 1.7. the rope that is used to pull it is at an angle $\alpha$ of 55 degrees with the horizontal. when the sled moves at a constant velocity (i.e., no acceleration), the normal force that the floor exerts on the sled is ...
The normal force that the floor exerts on the sled is 7557 N when is pulled across a stone floor with a coefficient of kinetic friction of 1.7.
What is kinetic friction and how the normal force is calculated to be so?Friction, is a very well-known word in our daily lives, though putting it a little more officially it is the force due which any vehicle, man, or something grips the floor.Friction is of two types kinetic and static, static friction is the friction that opposes the motion and kinetic friction is the friction that regulates the motion.Here using the formula F = - Uk mg/cos θ - Uksin θ
= -1.7 x 500 x 10/ cos55° - 1.7 sin 55°
= 7557 N
The normal force of 7557 Newton is exerted on the floor by the sled.
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In three to five sentences, explain why ships or boats float.
Inside a ship, the air is significantly less dense than the ocean. That keeps it afloat, actually! ... When a ship is lowered into water, the amount of water it pushes down and moves is equal to its weight.
the potential at a point due to a unit positve charge is found to be v. if the distance between the charge and the point is tripled, the potential becomes
The potential at a point due to a unit positive charge is found to be V. if the distance between the charge and the point is tripled, the potential becomes V/3.(that is (⅓)rd of original potential energy.)
The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field. More precisely, it is the energy per unit charge for a test charge that is so small that the disturbance of the field under consideration is negligible.
Potential Energy at a point due to a charge is inversely proportional to Distance.
At first we consider that at r distance the potential is v, and r' distance the potential will be v/v' =r'/r
BY USING THIS-
v/v' =r'/r
As, r'=3r,
9/v'=3r/r
THEN, Potential Energy —>
V'=V/3
SO, IF the potential at a point due to a unit positive charge is found to be V. if the distance between the charge and the point is tripled, the potential becomes V/3.(that is (⅓)rd of original potential energy.)
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which car has a westward acceleration? a. a car moving west at constant speed. b. a car moving east and speeding up. c. a car moving east and slowing down. d. a car moving west and slowing down
C. If a car has a westward acceleration, the car moving east and slowing down.
What is westward acceleration?
Westward acceleration is the acceleration of an object directed towards the west of the object's motion.
The acceleration of an object is defined as the change in the velocity of an object with time.
Mathematically, the acceleration of an object is given as;
a = Δv/Δt
where;
Δv is change in velocity of the objectΔt is change in time of motion of the objecta = (v - u) /t
where;
v is the final velocityu is the initial velocityWhen the car is slowing down, it implies that the final velocity is smaller compared to the initial velocity.
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as part of your daily workout, you lie on your back and push with your feet against a platform attached to two stiff ideal springs arranged side by side so that they are parallel to each other. when you push the platform, you compress the springs. you do 70.0 jj of work when you compress the springs 0.180 mm from their uncompressed length.
The spring constant of Hooke's Law is 2160 MN/m.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The potential energy of spring can be determined as
PE = 1/2 . k . x²
where PE is potential energy
From the question above, we know that
PE = 70 J
x = 0.18 mm = 0.00018 m
By substituting the given parameters, we can calculate the total paralel spring constant
PE = 1/2 . k . x²
70 = 1/2 . kp . 0.00018²
kp = 4320987654 N/m
Find each spring constant
kp = k + k
4320987654 = 2k
k = 2160 MN/m
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all falling objects experience some air resistance, the effect of which is to decrease acceleration. when the falling object's acceleration reaches zero, the acceleration stops changing. therefore, if you drop an object and it falls far enough for this to happen,
The object's speed reaches a maximum value and stays there if you drop it and it falls far enough for this to occur.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. An object's average speed during a period of time is calculated by dividing its distance traveled by the length of the interval, the instantaneous speed is the maximum possible speed as the interval's duration gets closer to zero. Velocity and speed are different concepts.
Distance divided by time is the dimension of speed. Although the meter per second (m/s), the SI measure of speed, is the most often used unit of speed.
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1. A scientist wants to test the sleeping effects of a mild animal tranquilizer on two of his
pet rats. He decides that he will put them in two cages of the same size and shape and
place them in the same area of his lab for 24 hrs. He decides that he is going to turn the
lights on at 5am and turn the lights of at 8pm each day. He feeds both rats lunch each day
at noon and chops up 5mg of animal tranquilizer into their food. He notes that at about 5pm
both rats fall asleep and wake up at about 5am the following day. He continues this
procedure for 15 days and notes the same pattern each day. He concludes that his study
shows that the animal tranquilizer will cause all animals to fall asleep at 5pm for a total of
12 hrs.
Did this experiment give accurate results? Why or why not?
The experiment is not accurate since the both rats get the tranquilizer and there is no control setting.
What is an experiment?The quest for data and information is what would cause a scientist to perform an experiment. We know that an experiment is one that an experiment is one that we have to find the effect of the independent variable on the dependent variable.
In this case, the independent variable is the administration of the dose of the drug while the dependent variable is the number of hours that the pet rats are made to sleep.
Let us note that an experiment ought to have a control setting. The control setting of the experiment is what would serve to validate the experiment as we know. We can see that this experiment does not have a control setting therefore it is not accurate. This experiment would need to be reviewed a control setting should be added.
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a gm corvette travels due east with a speed of 122 km/hour. the raindrops fall down vertically with respect to the earth. if the raindrops make an angle of 35.00 with the vertical of the car, what is the velocity of the rain with respect to the earth?
The rain's speed relative to the car is Vrc = 89.28 km/h.
Equation :Given that the car is moving eastward and that raindrops are falling vertically with respect to the Earth at a constant speed,
Let us consider the x-axis in the East and n-axis in the vertically upward direction. Now the x component of the car velocity relative to the earth is
Vceₓ = 122 km/h
Vceₓ = 33.89 m/s
n component of the car velocity relative to the earth is
Vceₙ = 0 m/s
x component of the raindrops velocity relative to the earth is
Vreₓ = 0 cos45°m/s
Vreₓ = - 3.68 m/s
n component of the raindrops velocity relative to the earth is
Vreₙ = ?
calculate the drop's velocity in relation to the earth
tanθ = Vreₙ / Vreₓ
Vreₙ = Vreₓ x tanθ
Vreₙ = 33.89 m/s x tan60°
Vreₙ = 58.69 m/s
Vreₙ = -211.28 km/h
And hence, the rain's speed relative to the car is
Vrc = Vce + Vre
Vrc = 122km/h - 211.28 km/h
Vrc = 89.28 km/h
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A bullet of mass 0.03 kg is fired from a rifle of mass 2kg,
which recoils with a velocity of 25.5m/s.
What is the velocity of the bullet?
Explanation:
equating the formula for the bullet and riffle
a carnot engine absorbs 52 kj as heat and exhausts 36 kj as heat in each cycle. calculate (a) the engine’s efficiency and (b) the work done per cycle in kilojoules.
The engine's efficiency of the carnot engine is 31%.
The work done per cycle in kilojoules is 16kj.
Using the data supplied above,
Heat absorbed by the engine = 52 kJ
Heat exhausted by the engine in each cycle = 36 kJ
We need to find the efficiency of the engine. It is calculated by the formula.
η = 1 - output/input
Where,
η = Heat Engine Efficiency
Output = 36
Input = 52
η = 36/52
η = 1 - 0.69
η = 0.31
Convert to percentage
η = 31%
b) The work done per cycle in kilojoules
To find the work done per cycle:
W = heat extracted - heat exhausted
W = 52 -36
W = 16
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a person uses the energy equivalent of 50 bbl of crude oil in one year. what is that person's average power consumption in kilo watts? 1 bbl of crude oil has the energy content 6.12×10^9 j.
The person's average power when he uses an energy equivalent to 50 bbl of crude oil in one year is 3.49×10⁴ kW.
What is average power?Average power can be defined as the total work performed to the total time it takes to perform the work.
To calculate the average power consumption of the person, we use the formula below.
Formula:
P = E/t............ Equation 1
Where:
P = Average powerE = Total energyt = TimeFrom the question,Given:
E = 50×6.12×10⁹ J = 3.06×10¹¹ J
t = 1 year = (365×24) days = 8760 seconds
Substitute these values into equation 1P = 3.06×10¹¹/8760
P = 3.49×10⁴ kW
Hence, the average power is 3.49×10⁴ kW.
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If I throw a ball off of a 1,000m cliff, how long will it take to hit the ground?
The time taken by the ball to hit the ground will be 14.28 seconds.
Using Newton’s laws of motion, we have
H= (1/2)gt^2. Using H= 1000m
1000= (1/2) x 9.8 x t^2
Hence, t= square root of 2000/9.8 = 14.28 seconds (approx.)
What is gravity?The force that pulls items toward the center of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.
The acceleration of gravity near Earth's surface is approximately 9.81 m/s2 (32.2 ft/s2) when air resistance is disregarded, which means that the rate of an object falling freely will increase by 9.81 m (32.2 ft) per second each second.
The gravity is zero at infinite height.
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Substances that move to the stronger parts of a magnetic field are termed ______ substances; the atomic feature responsible for this property is ______ in atoms.
Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
What is a paramagnetic substance?A paramagnetic substance is the substance that possess unpaired electrons that are heavily attracted in a magnetic field.
A magnetic field is defined as the field that exists around a magnet that produces a field of force.
Examples of paramagnetic substance include the following:
aluminum, gold, copper.Chromium, andManganese.These substances are known as paramagnetic substances because they possess a high number of unpaired electrons.
Other properties of a paramagnetic substance include the following:
They have a permanent dipole moment or permanent magnetic moment.They are weakly magnetized in the direction of the magnetizing field.They usually have constant relative permeability (μr) slightly greater than 1.Therefore, Substances that move to the stronger parts of a magnetic field are termed paramagnetic substances; the atomic feature responsible for this property is presence of unpaired electrons in atoms.
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whichof the followings unit is not a fundamental S I Unit (A) Meter (b) Ampere (c) Kelvin (d)second(E) Radian
Answer:
Option E
Explanation:
Option E, ie, Radian is not consider to be a fundamental quantity unit and it is used to measure the plane angle.
Seven Fundamental units are:
MetreSecondsKilogramAmpereKelvinCandelaMoleThe nebular hypothesis describes what happens when a cloud collapses into a star system. Where does the majority of the angular momentum of the original cloud go?.
The nebular hypothesis describes that when a cloud collapses into a star system a new star is forming inside this glowing cloud of gas.
What do you mean by nebular hypothesis?
The nebular theory proposes that a rotating cloud of material called a nebula, composed primarily of light components, flattened into a protoplanetary disc and developed into a solar system made up of a star and circling planets.
The Sun originated independently from a collapsing cloud of gas and dust, and as the planets passed by it later, they were gravitationally pulled in.
Individual stars and their planets develop from the revolving clouds' flattening into protostellar discs.
Most of the angular momentum is transmitted into the residual accretion disc through an unidentified mechanism that is thought to be related to the powerful magnetic fields associated with a newborn star.
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a truck moves northeast covering 4 kilometer and then turns northwest covering 3 kilomètres. calculate the magnitude and direction of these journey.
The magnitude is 5km and the direction of the truck is 53.13° from his starting point to current position.
What is the term magnitude?The maximum size and direction of an object are referred to as the object's magnitude in physics. Vector and scalar quantities both use magnitude as a common denominator.
Scalar quantities are understood to be those that have only magnitude, according to their definition. Vector quantities, on the other hand, are those that have both magnitude and direction.
A truck moves northeast covering 4 kilometre and then turns northwest covering 3 kilometres which makes the turn a 90°
Let the magnitude of displacement be c then
⇒ c² = a² + b² (Pythagoras theorem)
⇒ c = √(a² + b²)
= √(4² + 3²)
= √(25)
= 5 km
The magnitude is 5km
The direction of the truck will be given by
⇒ tan⁻¹(a/b)
⇒ tan⁻¹(4/3) = 53.13°
Thus, The direction of the truck is 53.13° from his starting point to current position
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to measure the speed of a current, scientists place a paddle wheel in the stream and observe the rate at which it rotates. if the paddle wheel has radius 0.40 m and rotates at 100 rpm, find the speed of the current in m/s.
The speed of the current in m/s for a paddle wheel with a radius 0.40m and rotates at 100rpm is 41.88.
The linear velocity v and angular velocity w (in radians per unit time) are related by:
where r is the radius.
First, we convert the angular velocity to rad/s:
w = 100rev/100 * 2πrad/1rev * 1min/60s = (100π/3) rad/s
Substitute r = 0.40m and w = (100π/3) rad/s
v = 0.40 (100π/3)
v = 41.88/s
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the final velocity of a truck that is initially traveling at 10 m/s and travels 500m over
the course of 13 seconds
Answer:
123.75 m/s
Explanation:
Given:
Initial velocity (u) = 10 m/sDistance travelled(S) = 500 mTime(t) = 13 sTo Find:
Final velocity,ie, v.Formula used:
S = ut + at^2/2where,
S is distance travelled
u is initial velocity
v is final velocity
t is time taken
v = u + atwhere,
v is final velocity and rest meaning is written above.
Let the acceleration of truck be a
Using the above formula, we get
500 = 10*13 + a(13)^2/2
370 = 169a/4
a = 8.75 m/s^2
So, Putting value of a in v = u + at, we get
v = 10 + 8.75*13
v = 123.75 m/s
So, the final velocity will be 123.75 m/s.
Answer:
this is an amazing question
a metal sphere is half-filled with ammonia as part of a refrigeration device. if the radius of the sphere is 0.5 m, and the density of ammonia is 0.86 kg/m3, what is the mass of the ammonia?
The mass of the ammonia is equal to 0.215 kilograms.
How to calculate the mass of ammonia?First of all, we would have to determine the volume of the metal sphere which is half-filled with ammonia. Mathematically, the volume of a sphere can be calculated by using this formula:
Volume = 4/3 × πr³
Where:
r represents the radius.
Substituting the given parameters into the formula, we have;
Volume of metal sphere = 4/3 × 3 × 0.5³
Volume of metal sphere = 4/3 × 3 × 0.125
Volume of metal sphere = 4 × 0.125
Volume of metal sphere = 0.5 cubic meter.
For the volume of ammonia, we have:
Volume of ammonia = 0.5/2
Volume of ammonia = 0.25 cubic meter.
Mathematically, the mass of a substance can be calculated by using this formula:
Mass = Density × Volume
Mass = 0.86 × 0.25
Mass = 0.215 kilograms.
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the body travels the first half of the road at an average speed of 5 km/h. he does the second half at an average speed of 8km/h. find its average speed.
The average speed of a body traveling on a road is 6.5 km/h.
What does "average speed" refer to?What speed is typical? The total distance something has traveled is divided by the total amount of time it took to traverse that distance to arrive at its average speed. Speed is the current rate of movement of something. Average speed refers to the pace that a vehicle travels at on average throughout a trip.
What is the average speed measured in?Meter per second is the S.I. unit of speed. In km/h, speed is also expressed.
Average Speed is calculated as Total Distance x Total Time.
The average speed of a body traveling on a road is 6.5 km/h.
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the speed of light is . how far does light travel in ? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
Using speed and distance relation, It take the speed of 299 m to travel 30 cm .
What is speed ?speed is the rate at where someone or something moves is able to operate.
Let us convert cm to m for distance
C = 2.998× 10^8 ms
The relationship between distance, speed, and time is
T =1 ×10^6/8
Because in this case you are being asked how long or time it takes, make it the subject.
Rounding the quotient produces.
Adjust it again to fit the scientific notation.
The result is -
d= c×t
d=2.998×10^8 m/s 10^6 m/s
d=2.998
As a mathematical expression, the time taken for light is 2.998
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On turning a corner, a motorist rushing at 44 ms-1 finds a child on the road 100 m ahead. He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it.
Answer:
He instantly stops the engine and applies the brakes so as to stop it within 1 m of the child. Calculate time required to stop it. (Ans. 4.5 s]
The volume of a piece of wood (which floats in water) can be measured as shown. Write a brier paragraph to describe the procedure. State the volume of the wood.
It is possible to determine an object's volume by making it forcibly sink. The item is attached to another easily sinkable object for this purpose.
The volume of the floating item may be calculated since it will sink in the water.
How do you calculate the volume of a piece of wood, an irregular solid that floats on water?Weighing down a floating item with a heavy object is one way to calculate its volume. It's crucial to gauge the water's depth with the heavy object submerged first, and then with the heavy object pulling the floating object down into the water.
When the weight force on an object is countered by the water's upward push, the thing floats. The amount of the object submerged increases the water's upward push, which is unaffected by the water's depth.
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A force of 20 N is applied to extend a horizontal spring by 5 cm. What is the spring constant?
a. 0.25 N/cm
b. 25 N/cm
c. 100 N/cm
d. 4 N/cm
A force of 20 N is applied to increase the horizontal spring by 5 cm: 4N/cm.
This is explained :Given a series spring: F = 20 N x = 0,5m
Using Hooke's Law: F = good x well=Fx=20/zero.
In physics, force is a force that can change the motion of an object. A force can cause an object with mass to speed up or accelerate. Pressure can also be defined intuitively as pushing or pulling.
Force is a vector quantity because it has both a value and a path. In technical know-how, the word "strength" has a special meaning. At this level, it is quite appropriate to describe pressure as pushing or pulling. Pressure does not always consist of or "have" objects. Pressure is applied to one element by one another. The concept of force is not always limited to living or inanimate objects.
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a powerful motorcycle can produce an acceleration of 3.25 m/s2 while traveling at 75 km/h. at that speed the forces resisting motion, including friction and air resistance, total 650 n. (air resistance is analogous to air friction. it always opposes the motion of an object.) what force does the motorcycle exert backward on the ground to produce its acceleration if the mass of the motorcycle with rider is 185 kg?
The force motorcycle exert backward on the ground to produce its acceleration is 1251.25 N, if the mass of the motorcycle with rider is 185 kg.
Acceleration = 3.25 m/s^2
Resisting force Fr = 650 n
mass of rider = 185 kg
To find the force exerted backwards [tex]F_{b}[/tex]
[tex]F_{b}[/tex] = Fr +Ma
[tex]F_{b}[/tex] = 650 + (184)(3.25)
[tex]F_{b}[/tex] = 1251.25 N
The force motorcycle exert backward on the ground to produce its acceleration is 1251.25 N.
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A red ball moves horizontally in a 30-meter long tube. The position of the ball on meters over time is shown in the attached position vs. time graph.
What is the displacement of the red ball between 12 seconds and 24 seconds?
What is the distance traveled by the red ball between 12 seconds and 24 seconds?
Given that a red ball goes horizontally inside of a tube that is 30 metres long.
The distance travelled in a certain direction is known as displacement.
The movement is in a certain direction because it is horizontal.
The displacement will be the horizontal distance travelled, which is 30 metres, during the allotted time.
What is the distinction between displacement and distance?Distance is the total distance along the route between any two places. Displacement is the direct distance between any two places when calculated via their shortest route. The direction is not taken into account while calculating distance. The direction is taken into account while calculating displacement.
Clarify the difference between distance and displacement. Distance refers to the measurement of "how much ground an item has covered during its motion," whereas displacement refers to the measurement of "how far out of place is an object."
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a piston-cylinder assembly contains water and is being heated on top of a range. during the process, 65 btu of heat is transferred to the water, and heat losses from the side walls amount to 8 btu. the piston rises as a result of evaporation, and 5 btu of work is done by the vapor. determine the change in the energy of the water for this process.
The change in the energy of the water in the process is 52Btu, when 65 btu of heat is transferred to the water and heat losses from side walls.
What is change in energy and heat and how the change in energy is calculated out to be 52 Btu?Energy is the quantity which represents the product of power and time, with release of considerable amount of heat.Change in energy is the change in the energies of the components involved in the equation.Here , we will use the equation , del U = del Q + del W , substituTing the values , 57 Btu for del Q and -5Btu for del W.Del U = 57Btu - 5Btu = 52Btu , hence the change in the energy is calculated for a piston- cylinder assembly containing water and is heated.To know more about energy visit:
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14) A race car accelerates from rest to a velocity of 41 m/s in 480 m. What is the acceleration of the race car?
Answer:
Explanation:
V₀ = 0 m/s
V = 41 m/s
S = 480 m
___________
a - ?
Distance traveled:
S = (V² - V₀²) / (2*a)
Acceleration :
a = (V² - V₀²) / (2*S)
a = (41² - 0²) / (2*480) = 1.75 m/s²
A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce
a(n) _____.
electric current
electric field
electrostatic induction
coulomb of electricity
A Van De Graaf generator is an electrostatic generator and may collect a large enough charge to produce an electric current. Option A.
A Van de Graaff generator is an electrostatic generator that uses a moving belt to store charge in hollow metal spheres on insulating posts, producing very high potentials. Produces direct current (DC) at low currents and very high voltages.
Van de Graaff generator the motor turns silicone rollers to move rubber bands. As the belt moves, electrons are transferred from the rubber belt to the silicone roller charging the belt positively and the roller negatively. Van de Graaff generators extract electrons from the Earth move them along belts and store them in large spheres. These electrons repel each other and try to separate as much as possible by spreading over the surface of the sphere.
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