A scenario which describes an object being acted on by a conservative force is the one in which a feather falls from one end of a tube to the other inside a vacuum. Thus, the correct option is C.
What is Conservative force?The conservative force is a force with the property which the total work done in moving a particle between two points, it is independent of the path taken by the object. Equivalently, if a particle travels in a closed loop, then the total work done by the object is the sum of the independent forces which are acting along the path multiplied by the displacement of the object by a conservative force is zero.
A feather which is falling from one end of a tube to the other inside a vacuum is an example of conservative force. This is a Conservative force because, here we are looking at a vacuum and it is a closed system of no other forces present in it due to vacuum.
Therefore, the correct option is C.
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Your question is incomplete, most probably the complete question is:
Which of the following scenarios describes an object being acted on by a conservative force?
A. A woman hikes up a mountain to a point 20 feet above ground.
B. A dishwasher was pulled up to a window by a rope, using a pulley system.
C. A feather falls from one end of a tube to the other inside a vacuum.
D. A puck glides across and slowly comes to a stop on an ice rink.
Two lab partners are doing a static electricity investigation. They begin with a
neutral pop can. After conducting the procedure, they observe that the pop can
has become charged positively. Which statement accurately explains how this
happened?
Electrons were added to the object.
Protons were added to the object.
Electrons were removed from the object.
Protons were removed from the object.
A) electrons were added to the object
B) protons were added to the object
C) electrons were removed from the object
D) protons were removed from the object
The electrons are transferred from one item to another during the conduction process.The electrons are particles with a free charge.There is no free movement of protons.
Which statement accurately explains how this happened?The electrons are transferred from one item to another during the conduction process.The electrons are particles with a free charge.There is no free movement of protons.The metal pie plate in the provided scenario is initially negatively charged.As a result of conduction, the plate becomes electrically neutral.It signifies the removal of extra electrons from the aluminum pie plate.At that point, the number of protons and electrons is equal.The plate becomes neutral electrically.Therefore, "Electrons were taken from the item" is the appropriate response. The transfer of electrons between two different materials occurs when they are rubbed together.As a result, one thing (the electron loss) becomes positively charged, and the other object (the gainer) becomes negatively charged (the electron gainer).To learn more about static electricity refer
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A mass suspended from a spring is pulled down a distance of 2 feet from its rest position. The mass is
released at time t=0 and allowed to oscillate. The mass returns to this position after 1 second.
Additionally, during a cycle it reaches a maximum height of 2 feet above its rest position.
Sketch a graph of this scenario and write an equation.
the student explains how conduction is the charging by contact so the uncharged object takes
Electrons from the charged object as conduction are the charging by contact
What is Conduction?Conduction is indeed a method of charging by contact. In conduction, charges are transferred between two objects that are in contact with each other. When an uncharged object comes into contact with a charged object, electrons will flow from the charged object to the uncharged object, until both objects have the same charge.
In solids, conduction occurs when electrons flow through the material, moving from atom to atom. Metals, such as copper and aluminum, are good conductors of electricity because their electrons are not tightly bound to their atoms and can easily flow through the material. Insulators, such as rubber and plastic, are poor conductors of electricity because their electrons are tightly bound to their atoms and do not flow easily through the material.
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A monkey climbs vertically on a vine. Its motion is shown on the following graph of vertical position yyy vs. time ttt. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. Graph of y (in meters) vs. t (in seconds) that starts at 6 m at 0sec, decreases linearly to 2m at 4 sec, stays constant at 2m from 4 sec to 7 sec, increases linearly to 5 m from 7 sec to 9 sec, then stays constant until 10 sec. What is the instantaneous speed of the monkey at time t=5\text{ s}t=5 st, equals, 5, start text, space, s, end text?
The linear curve of the graphs shows an increase in distance of 5 m within 2 seconds. Then , the distance within 5 seconds will be 12.5m and the instantaneous speed is 2.5 m/s.
What is instantaneous speed ?Instantaneous speed of an object is the speed at a particular instant. It describes how far an object travelled at a particular moment in time.
It is given that, the graph shows linearity in curve , where for each 2 second time interval the monkey climbs 5m. Then, for a time interval of 5 seconds, the monkey will climb 12.5 m in the tree.
Instantaneous speed = distance/time
t= 5 s
d = 12.5 m
then v = 12.5/5 = 2.5 m/s
Therefore, the instantaneous speed of the monkey within the given time will be 2.5 m/s.
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A 50 kg painter stands on top of a 3 m platform on the roof of a 20000 kg shed. What is the painter's gravitational potential energy.
The painter's gravitational potential energy is 1470J
What is gravitational potential energy?
The energy that a body has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a relation to gravitational force or gravity. Since the painter is on the top of a 3m platform his gravitational potential energy is given by W=mgh where m is the mass of the painter, g is the acceleration due to gravity and h is the height of the painter from the ground.
Now according to the question,
Mass of the painter=50Kg
Height of the platform=3m
Acceleration due to gravity=9.8
W=50×9.8×3
W=1470J
Therefore, the gravitational potential energy of the painter is 1470J
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Which of these can help determine air pressure? Select the two correct answers.(1 point)a. wind speed of the airb. moisture in the airc. temperature of the aird. cloud patterns in the air
The two appropriate factors that can assist in determining air pressure are wind, speed and air temperature. The appropriate choices are A) and C).
Everything you touch is pressed upon by the weighty air that surrounds you. The term air pressure or atmospheric pressure is used to describe this pressure. When a surface is being pulled toward Earth by gravity, air above the surface exerts a force on it. It is common practise to measure atmospheric pressure using a barometer.
Because air pressure is determined by the quantity of molecules above a surface, this is the case. It's interesting to note that as the number of molecules grow, more pressure is applied to a surface, increasing the overall air pressure. In contrast, when the number of molecules falls, the air pressure rises.
The average kinetic energy of the gas's molecules directly relates to its temperature. Faster moving particles will more frequently and violently hit with the container walls.
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motion of the bones relative to the three cardinal planes resulting from physiological movements is known as
Motion of the bones relative to the three cardinal planes is known as osteokinematic motion, which is resulting from physiological movement.
Osteokinematics describes clear and smooth movements of those bones which are visible from the outside. They are the gross movement that occurs between two bones. They are generated from the rotation around the joint axis. Movement is generaly rotational around the joints.
There are some examples of Osteokinematics are:
Flexion and extension
Abduction and adduction
Lateral rotation and medial rotation
Osteokinematics are different from arthrokinematics. In general Osteokinematics is the bone movement and Arthrokinematics is the joint movement.
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what is the line charge density on a long wire if the electric field 45 cm from the wire has magnitude 240 kn/c and points toward the wire?
The line charge density on a long wire if the electric field 45 cm from the wire has magnitude 240 kn/c and points toward the wire is 2.08 x 10-7 C/m.
Calculating the line charge density of a long wire is a simple process. To begin, we need to know the magnitude of the electric field at a given distance from the wire. In this case, the electric field 45 cm from the wire has a magnitude of 240 kn/c and points toward the wire.
Using this information, we can calculate the line charge density of the wire using the equation:
Line charge density (λ) = Electric field (E) * Permittivity of free space (ε0) / 2π * distance (r)
Plugging in the values, we get:
λ = 240 kn/c * 8.85 x 10-12 C2/Nm2 / 2π * 0.45m
Solving this equation, we get a line charge density of 2.08 x 10-7 C/m.
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Which statement best compares potential and kinetic energy?Objects always have more potential energy than kinetic energy.Kinetic energy increases and potential energy decreases when the velocity of an object increases.Only potential energy decreases when an object’s height increases.Objects always have more kinetic energy than potential energy.
The statement that best compares potential and kinetic energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases. That is option B.
What is kinetic energy?Kinetic energy is defined as the type of energy that is being possessed by a body that is in constant motion.
Potential energy is defined as the type of energy that is stored within a body as it remains in a steady state.
Velocity is defined as the distance covered by an object with respect to time.
Therefore, the major difference between a kinetic energy and potential energy is that Kinetic energy increases and potential energy decreases when the velocity of an object increases.
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how much oil (138,690 btu/gal) is needed to generate the electricity needed to keep a 100-watt (w) light bulb lit for one (1) year if the overall efficiency of the generating station is 30
7.2 gallons of oil is needed to generate the electricity needed to keep 100-watt light bulb lit for one year if the overall efficiency of generating station is 30%.
What is efficiency?Ratio of the work performed by machine or in process to the total energy expended / heat consumed is called as efficiency.
Energy consumed is 100 W * 8760 h = 876,000 Wh = 876 kWh.
Given, overall efficiency of the generating station is 30%, which means that only 30% of energy in the fuel is converted into usable electricity. So, for every 1 unit of energy in fuel, 0.3 units of energy are generated as electricity.
To find out how much oil is needed, we need to divide total energy consumed by the light bulb (876 kWh) by the overall efficiency of the generating station (0.3). So, 876 kWh / 0.3 = 2920 kWh
Now we need to convert the energy consumption in kWh to gallons of oil,
2920 kWh = 2920 * 3412 Btu/kWh = 1,000,944 Btu
1,000,944 Btu / 138,690 Btu/gal = 7.2 gallons
Therefore, 7.2 gallons of oil is needed to generate the electricity needed to keep 100-watt light bulb lit for one year.
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A 1650 kg car is going a street at 42 m/s east. What is the momentum of the car
Formula for momentum:
[tex]p=mv[/tex]
momentum(measured in kg*m/s) = mass(measured in kg) * velocity(measured in m/s)
__________________________________________________________
Given:
[tex]m=1650kg[/tex]
[tex]v=42m/s[/tex]
[tex]p=?[/tex]
__________________________________________________________
Finding momentum:
[tex]p=mv[/tex]
[tex]p=1650\times42[/tex]
__________________________________________________________
Answer:
[tex]\fbox{p = 69,300 kg*m/s}[/tex]
Please help me! I will give brainliest!
1. Imagine 50 people walking in straight lines in a room. What would happen to the number of
collisions they would have with the walls if they moved to a room half the size of the original
room but walked at the same speed?
2. Imagine 50 people walking in straight lines in a room. If those 50 people start running, what needs to happen in order for the number of collisions they would have with the walls of the room to remain the same?
1) They would collide with the walls more frequently.
2) They would collide with the walked more frequently.
What is the collision?A collision is defined in physics as any event in which two or more bodies exert forces on each other in a relatively short period of time.In physics, a collision is the sudden, forceful coming together of two bodies, such as two billiard balls, a golf club and a ball, a hammer and a nail head, two railroad cars when coupled together, or a falling object and a floor.However, there are three types of collisions: elastic, inelastic, and completely inelastic. To summarize, momentum is conserved in all three types of collisions. What happens to the kinetic energy is what distinguishes the collisions.To learn more about collision refer to:
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figure 1 shows the kinetic energy as a function of time for a 2kg object that is released from rest and falls toward earth’s surface. figure 2 shows the kinetic energy as a function of time for a 5kg object that is released from rest and falls toward earth’s surface. both objects are released simultaneously from the same height. how much does the gravitational potential energy of the object-object-earth system change from 0s to 10s ?
U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.
How much does the gravitational potential energy ?U=GM m /r is the formula for the potential energy of a system that includes the Earth and an object orbiting the planet.
G stands for gravity constant.
The Earth's mass is M.
m is the object's mass.
r is the separation between the item and the center of the Earth.
Here it is:
M = 5.98-10(24) kg, where m = 102 kg is the object's mass.
The object's distance from the center of the Earth is given by the formula r = 2R.
is the radius of the Earth
when substituting
U = -3.19 - 10 (9) J
The object's combined potential and kinetic energies make up its total mechanical energy:
where
the mechanical energy is E.
The potential energy is U.
K stands for kinetic energy.
E = U +K
E = 0 in this case because we want the item to have no energy, which results in kinetic energy of K = -U = 3.19- 10 (9) J.
The object's kinetic energy can be represented as where m = 102 kg is its mass and v is its speed.
And solving for v, we find:
r = 7909 m/s
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On the 1/4" = 1'0" architect 's scale, what makes it possible to scale or measure a distance of 1'4"?
The correct option d. The small divisions at the end of each scale. This allows for the scaling or measurement of a 1'4" distance.
Explain the functioning of architect 's scale?For structures and buildings, architect scales like 1/4" = 1'0" (1/48 size) or 1/8" = 1'0" (1/96 size) are employed.
They are employed to measure both exterior and interior measurements, including those of buildings, rooms, walls, doors, windows, and fire protection systems.Scales ranging from very simple (1 inch = 1 foot) here to sophisticated (3/16 inch = 1 foot) are used when drawing architectural drawings. Plans are frequently created using scales like 3/4, 3/16, and 1/8.Six edges make up a triangular architect scale, and each edge typically features representations of two alternative scales, such as 1 inch to 1 foot and 12-inch to 1 foot. Up to sixteen scales may be present in certain setups with numerous rules. These are normally 12 inches long and come in an amazing range of options, including plastic scales, solid aluminium scales, and scales with color-coded grooves.Thus, the minuscule divisions at each scale's tip. This makes it possible to scale or measure a 1'4" distance.
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The complete question is-
On the 1/4" = 1'0" architect 's scale, what makes it possible to scale or measure a distance of 1'4"?
Select one:
a. Use the 1/8" scale and convert.
b. Use the 1/16" scale and convert.
c. The large divisions at the end of the scale.
d. The small divisions at the end of each scale.
with the aid of diagram describe how pressure acts in all direction
Pressure acts in all direction .
What is the fundamental meaning of pressure?
The amount of force applied to a unit area is referred to as pressure. The weight of the water column above contributes to the pressure in a liquid. This pressure works in all directions because a liquid's particles are closely packed. For instance, the pressure exerted on a dam at a reservoir's bottom is larger than the pressure exerted near the top.
There is a magnitude to pressure, but no accompanying direction. At one location inside a gas, pressure spreads out in all directions. The pressure force acts perpendicular to the surface at a gas's surface.
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a block attached to a spring with unknown spring constant oscillates with a period of 2.7 s s . parts a to d are independent questions, each referring to the initial situation. part a what is the period if the mass is doubled?
The Doubling the mass does not affect the period of oscillation.
Oscillation is a repetitive motion that occurs when a force causes an object to move back and forth between two positions. This motion is often seen in physical systems such as pendulums, springs, and electrical circuits.
The period of a block attached to a spring with unknown spring constant is determined by the mass of the block and the spring constant. Doubling the mass of the block will not change the period, so the period will remain 2.7 s. This is because doubling the mass of the block will double both its inertia and its gravitational pull, but these two forces are balanced by the spring force, which remains unchanged. Therefore, doubling the mass does not affect the period of oscillation.
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A kettle states that it is 60% efficient. If it also had a total of 400J input, what would the useful energy transfer to the water be?
If the force shown in the diagram below does 1,110J of work while acting throughout the
10.0m distance, what is the magnitude of the force?
a. F = 139N
b. F = 111N
c. F = 8,860N
d. F = 904N
The force that is acting on the object is 139N. Option A
What is the magnitude of the force?Let us know that we can only say that there is work done if we have a force that has been applied in such a way that it can be able to move an object in the direction of the force.
As such, we are going to have that;
W = Fcosθ
W = work done
F = force applied
θ = angle turned
1110 = F cos 37 * 10
F = 1110/cos 37 * 10
F = 139N
There is the application of a force of about 139N on the object as have been shown here.
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The period of the sound waves produced by the motor is 8. 3 milliseconds. Calculate the frequency of the sound waves
please help hahhah
The sound waves produced by the engine have a frequency of 120 Hz.
How to calculate frequency?To calculate the frequency of the sound waves produced by the engine, we can use the following formula:
f = 1/T
where f is the frequency and T is the period of the sound wave.
Sound waves have a period of 8.3 milliseconds, so we can plug this value into the equation to find the frequency.
f = 1 / (8.3 x 10^-3s)
f = 120 hertz
Therefore, the sound waves produced by the engine have a frequency of 120 Hz.
It is important to note that frequency is the number of wave oscillations or cycles that occur in a unit of time and is measured in hertz (Hz). The period is the time of one oscillation and is the reciprocal of the frequency. The lower the frequency, the longer the period and vice versa.
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Sphere A has a charge of 2. 0X10-6 C, sphere
B has a charge of 3. 0X10-6 C, and sphere C
has a charge of 4. 0X10-6 C. What is the
magnitude of the net force on sphere A?
(rAB
= 2. 0X10-2 m and rAc= 2. 0X10-2 m)
To determine the speed at which the baseball player threw the ball and the height it reached, we can use the equations for motion with constant acceleration. So hence t is the time it took for the ball to return to the player's hand.
Since the ball was thrown vertically upward and we know the time it took for it to return to the player's hand, we can use the following equation to determine the initial velocity (vₒ) of the ball: vₒ = gt . where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time it took for the ball to return to the player's hand (3.0 s).
Plugging in the known values, we get:
vₒ = 9.8 m/s² x 3.0 s = 29.4 m/s
To determine the height the ball reached, we can use the following equation: h = vₒt + (1/2)gt²
where h is the height, vₒ is the initial velocity, t is the time it took for the ball to return to the player's hand, and g is the acceleration due to gravity.
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a 6.00-g bullet is fired with a velocity of 96 m/s toward a 10.00-kg stationary solid block resting on a frictionless surface. (a) what is the change in momentum of the bullet if it is embedded in the block?
When a 6.00-g bullet is fired at a target that weighs 10.00 kg and is lying on a frictionless surface at a speed of 96 m/s, the bullet's change in momentum if it penetrates the target is 0.576 m/s.
The momentum change is just equal because the final momentum is zero. Momentum is the phrase used to describe a substance's state of motion when its mass is not zero. Therefore, momentum is a property of all moving objects. The formula p = m v, where m denotes an object's mass and v denotes its rate of motion, describes momentum.
The bullet's momentum will alter and become equal to
momentum = 6/1000 * 96 = 0.576, if it is implanted in the block.
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a solid sphere or radius 2 cm is concentric with a sperical conducting shell of inner radius 2a and outer radius 2.4a. what is the magntude of the eltric field at radial distances
Magntude of the eltric field at radial distances is 12.8a^2.
What is a spherical shell's volume determined?V = 4/3 r3, where V stands for volume and r for radius, is the equation for a sphere's volume. Half the diameter makes up a sphere's radius.
A conducting sphere has no electric field inside of it. In the same way as a point charge, the electric field outside the sphere is determined by the equation E = kQ/r2. On the outside of the sphere, there is an extra charge.
The curved surface area of the sphere is equal to its entire area because it has a completely curved shape. Alternatively, it is known as lateral surface area. Sphere's radius (r) and its surface area (a) are both expressed as 4r2.
Explanation:
2*2a*2.4a =r =9.6a^2
V = 4/3 *9.6a^2 = 1.3334 * 9.6a^2 = 12.8a^2.
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You use a horizontal force 25 Newtons N to push a box 3 meters to the right. Find the work you did.
W=Fed
Answer:
75 J
Explanation:
You want the work done by a force of 25N over a distance of 3 m.
WorkAs your formula tells you, the work is the product of force and distance:
W = Fd
W = (25 N)(3 m) = 75 N·m
UnitsOne newton·meter is one Joule.
= 75 J
__
Additional comment
Both newtons (N) and joules (J) are derived SI units:
1 N = 1 kg·m/s²
1 J = 1 kg·m²/s² = 1 N·m
Formula for work:
[tex]w=Fd[/tex]
work(measured in joules) = force(measured in newtons) * distance(measured in meters)
__________________________________________________________
Given:
[tex]F=25N[/tex]
[tex]d=3m[/tex]
[tex]w=?[/tex]
__________________________________________________________
Finding work:
[tex]w=Fd[/tex]
[tex]w=25\times3[/tex]
__________________________________________________________
Answer:
[tex]\fbox{w = 75 Joules}[/tex]
Which design features should the clinical
thermometer have?
The correct answer is A: thick glass, narrow bore. This design allows the thermometer to have a high sensitivity and to respond quickly to changes in temperature.
Which design features should the clinical thermometer have?A clinical thermometer is designed to measure temperature with high accuracy and sensitivity.Therefore, it is important to ensure that the thermometer is designed with the right features.The main design feature is the bulb, which should be made of thick glass to ensure accuracy.A narrow bore should be used to ensure that the thermometer responds quickly to a change in temperature.The thermometer should also have a scale marked in increments of 1/10th of a degree Celsius and have a range of at least 42°C.Finally, the thermometer should be designed with a rounded tip to prevent damage and ensure accurate readings.All of these design features should be taken into account when designing a clinical thermometer to ensure accurate and reliable results.To learn more about clinical thermometer is designed to measure temperature refer to:
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30. a signal with an input power of 15 mw is transmitted along an optic fiber which has an attenuation per unit length of 0.30 db km-1.the power at the receiver is 2.4 mw. calculate the length of the fiber.
The length of the fiber is 75.7 km.
What is length?Length is a measurement of distance or size. It is commonly used to describe the linear extent of an object, such as the size of a room, the length of a river, or the size of a person. It can also be used to describe the duration of an event, such as the length of a movie or the length of a football game. Length is typically measured in units such as meters, feet, or inches.
The power at the receiver can be calculated using the formula:
P_r = P_i * 10^(-α*L/10)
where P_r is the power at the receiver, P_i is the input power, α is the attenuation per unit length and L is the length of the fiber.
Rearranging the formula, we obtain:
L = 10*log(P_i/P_r)/α
Substituting the values, we get:
L = 10*log(15/2.4)/0.30 = 75.7 km
Therefore, the length of the fiber is 75.7 km.
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The phenomenon caused by the excessive release of smoke by factories, burning garbage, and vehicles is known as _________. A fog B mist C dew D smog
Answer:
D. Smog
Explanation:
The phenomenon caused by the excessive release of smoke by factories, burning garbage, and vehicles is known as smog.
do you run your car's air conditioning when it's hot outside while waiting to try to start the flooded engine again
No. Perhaps the best remedy for a flooded engine is time. Simply open the hood of your car and let excessive fuel evaporate for as long as you can. After about 20 minutes try starting your car again without hitting the gas pedal. If this still does not work, you may have to check your spark plugs.
How to deal with a flooded engineWhy won’t your car start. It turns over, so there’s no problem with the battery, but it won’t fire. Chances are, if you've just started it, moved it a few metres and shut it off again, you've flooded the engine – this is really common as we sometimes want to move a car under the car port, into some shade or into a better parking spot, but without driving it any more than a few metres.
Flooding the engine has nothing to do with water, but the amount of fuel that’s been introduced into the engine. It rarely happens with modern, fuel-injected cars if the temperatures are normal. If it’s cold or very hot it can happen, too.
Don’t keep letting it turn over because you’ll wear out the battery and you’re making the flooding worse (so much so, that you might have so much petrol in the cylinders that it seeps into the oil). Also, don’t pump the accelerator as this can make the flooding worse.
A flooded engine has too much petrol and not enough oxygen. This wets the ends of the spark plugs and they won’t ignite the fuel
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two cars in an inelastic collision . A small car with a mass of 1600kg is moving east at 55 km/hr a van with a mass of 3300 kg is moving west 65 km/hr . calculate the speed and direction of the combined vehicles just after impact
The speed and direction of the combined vehicles just after impact is 7.2 m/s west.
What is final speed of the cars after the collision?
The final speed of the cars after the collision is obtained by applying the principle of conservation of linear momentum.
m₁u₁ + m₂u₂ = v ( m₁ + m₂ )
where;
m₁ is the mass of the first carm₂ is the mass of the second caru₁ is the initial velocity of the first car = 55 km/h = 15.28 m/su₂ is the initial velocity of the second car = 65 km/h = 18.1 m/sv is the final velocity of the two cars(1600 x 15.28) - ( 3300 x 18.1) = v ( 1600 + 3300)
-35,282 = 4,900v
v = -35,282 / 4,900
v = -7.2 m/s
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PLSSSSSS HELP NOWWWWW
DO NOT GIVE ME THE WRONG ANSWER PLSSS
Question 1(Multiple Choice Worth 2 points)
(03.03 MC)
In which of the following situations would sonar be most practical?
Measuring the distance between objects in the ocean
Observing internal organs
Determining the frequency of sounds
Dampening the intensity of sounds
Answer:
A: Measuring the distance between objects in the ocean
Explanation:
Two resistors have resistances R(smaller) and R(larger), where R(smaller) < R(larger). When the resistors are connected in series to a 12. 0-V battery, the current from the battery is 1. 57 A. When the resistors are connected in parallel to the battery, the total current from the battery is 10. 5 A. Determine the two resistances
The resistance of two resistors are R1 is and R2 is 1.4ohms and 6.2ohms respectively where R1 is smaller and R2 is larger resistance.
Given the voltage of battery (V) = 12V
Let the resistance of smaller resistor = R1
Let the resistance of larger resistor = R2
The current in circuit when connected in parallel (Is) = 1.57A
Ohms law states that V = IR where V is voltage R is resistance and I is current.
When resistors are connected in series Rs = R1 + R2
V =Is(R1 + R2)
R1 + R2 = 12/1.57 = 7.6
R1 = 7.6 - R2
When resistors are connected in parallel 1/Rp = 1/R1 + 1/R2
then Rp = R1R2/R1 + R2
The current in parallel circuit (Ip) = 10.5A
V = Ip(R1R2/R1+R2)
R1R2 = 12 x (7.6) / 10.5 = 8.68
(7.6 - R2)R2 = 8.68
R2^2-7.6R2+8.68 = 0
R2 = 6.2ohm
R1 = 7.6 - 6.2 = 1.4ohms
Hence the smaller resistance is 1.4ohms and larger resistance is 6.2ohms.
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