Two cars are driving at the same constant speed on a straight road, with car 1 in front of car 2. car 1 suddenly starts to brake with constant acceleration and stops in 10 m. at the instant car 1 comes to a stop, car 2 begins to brake with the same acceleration. it comes to a halt just as it reaches the back of car 1. what was the separation between the cars before they starting braking?
To find the initial separation between two cars before braking, we use the kinematic equation related to uniform acceleration. By calculating the deceleration of car 1, we can determine the total stopping distance for car 2, which includes the initial separation distance plus the stopping distance of car 1.
Explanation:The question involves the concept of uniform acceleration and the use of kinematic equations to determine the initial separation between two cars before they start braking. Under the assumption that both cars decelerate with the same constant acceleration and car 2 stops exactly at the position where car 1 initially started to brake, we can use the kinematic equation:
\[ v^2 = u^2 + 2as \]
Where \(v\) is the final velocity, \(u\) is the initial velocity, \(a\) is the acceleration, and \(s\) is the distance. Since car 1 stops in 10 m, we can find the acceleration by setting \(v=0\), and since car 2 stops at the back of car 1 exactly, the initial separation
\(s\) is actually the distance car 2 travelled while car 1 was braking plus the 10 m stopping distance of car 1.
To solve this, we first calculate the acceleration of car 1 as it comes to a stop:
\[ 0 = u^2 + 2a(10) \]
This gives us the value of \(a\), and since car 2 has the same acceleration and stops in the same way, it will travel a distance of 10 m after starting to brake, plus the initial separation distance while car 1 was braking. This total distance equals the stopping distance of car 1, which is 10 m, plus the distance car 2 travels before it starts braking.
Therefore, the initial separation between the two cars before braking started is the distance car 2 travels while car 1 is braking (which can be calculated using the found acceleration and the fact that car 2 starts braking 10 m after car 1 has come to a stop).
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If 31.25
10
18
electrons are removed from a
neutral dielectric, how much charge is stored in
coulombs?
Answer:
it will become charged by Q = 5C
Explanation:
When electron is removed from matter then the system will get positively charged
So we will have
[tex]Q = Ne[/tex]
here N = number of electrons that is removed
[tex]N = 31.25 \times 10^{18}[/tex]
also we know that charge on one electron is given as
[tex]e = 1.6 \times 10^{-19}[/tex]
here we have
[tex]Q = Ne[/tex]
[tex]Q = (31.25 \times 10^{18})(1.6 \times 10^{-19})[/tex]
[tex]Q = 5 C[/tex]
so it will become charged by Q = 5C
Which of the following is an example of two sets?
A planet is in circular orbit around the sun. its distance from the sun is nine times the average distance of the earth from the sun. the period of this planet, in earth years, is:
By the Kepler's third law, the time period of this planet in earth years can be calculated to be 8 years.
What is Kepler's third law?Kepler's Third Law states that the squares of the orbital periods of the planets are directly proportional to the cubes of the semi-major axes of the planet's orbits. Kepler's Third Law implies that the period for a planet to orbit around the Sun increases rapidly with the radius of its orbit.
In planetary motion, the planet's net external torque is equal to zero. As a result, the angular momentum will not change.
T² is proportional to r³, and the orbital period square is proportional to the distance cubes.
(Tearth/ Tplanet)² = (rearth/ r planet)³
The planet's distance from the sun is 4 times the semi-major axis of the earth's orbit.
(Tearth/ Tplanet)² = (1/4)³
Tearth = Tplanet × √1/64 = Tplanet × (1/8)
Tplanet = 8 × Tearth
Tearth = 1 year
Tplanet = 8 years
Therefore, the time period of this planet is 8 years.
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Your question is incomplete, most probably the complete question is:
A planet is in a circular orbit around the sun. It distance from the sun is 4 times the semi major axis of earth's orbits. The period of the planets is
earth years
Using Kepler's third law of planetary motion, the period of a planet in circular orbit around the Sun at a distance of nine times the Earth's from the Sun is calculated to be 27 Earth years.
Explanation:The question asks to determine the orbital period of a planet that is nine times farther from the Sun than the Earth, using Kepler's third law, which relates a planet’s orbital period to its distance from the Sun. The law states that the orbital period squared (P^2) is proportional to the average distance from the Sun cubed (a^3). Given that the Earth's average distance from the Sun is about 150 million km (1 astronomical unit or AU), the planet in question is 9 AU from the Sun.
According to Kepler's third law, (P_earth/P_planet)^2 = (a_earth/a_planet)^3. We know P_earth is 1 year and a_earth is 1 AU, so substituting for a_planet with 9 AU, we get (1 year / P_planet)^2 = (1 AU / 9 AU)^3.
Solving this equation for P_planet gives us an orbital period of 3^3, or 27 Earth years for the planet.
A 7-hp (shaft) pump is used to raise water to an elevation of 19 m. if the mechanical efficiency of the pump is 82 percent, determine the maximum volume flow rate of water. (round the final answer to four decimal places.)
Final answer:
To determine the maximum volume flow rate of water, we need to calculate the power supplied by the pump. Plugging in the values, the maximum volume flow rate of water is approximately 0.0019 m³/s.
Explanation:
Answer:
To determine the maximum volume flow rate of water, we need to calculate the power supplied by the pump. The formula to calculate power is power = force * velocity. If we convert the horsepower of the pump to watts (
1 hp = 746 watts), we can use the formula power = (7 hp * 746 W/hp) * (0.82 efficiency) to find the power supplied by the pump. Next, we can use the formula power = work/time = force * distance/time = force * velocity to find the force exerted by the pump. Finally, we can use the formula volume flow rate = velocity * area, where the area can be calculated using the equation area = π * (diameter/2)^2, to find the maximum volume flow rate of water. Plugging in the values, the maximum volume flow rate of water is approximately 0.0019 m³/s.
What is the difference between contact forces and forces that act through a force field?
Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.
What is force?Force is the action of push or pull which cause an object to move or stop.
Contact forces are the forces that come into existence when two objects come in contact to apply a force, For example: Frictional Force.
Non-contact forces takes place without any physical contact. For example: Gravitational force, Electric force, Magnetic force.
Thus, Contact forces occur when two objects are in contact while Non-contact forces occur without any physical contact.
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A 9 m3 container is filled with 300 kg of r-134a at 10°c. what is the specific enthalpy (kj/kg) of the r-134a in the container? (4 significant figures)
PLEASE HELP!!! A small, horizontal pipe with cross-sectional area A is joined to a large horizontal pipe with cross-sectional area 2A. Both pipes are at the same height, and completely filled with water (density 1000 kg/m^3). What is the pressure of the water in the large pipe if the speed of the water in the small pipe is one m/s and the pressure of the water in the small pipe is 1000 Pa?
Two identical spring-loaded dart guns are simultaneously fired straight forward. one fires a regular dart; the other a weighted dart. which dart goes farther?
In terms of physics, the regular dart goes further. Despite both darts being fired with the same energy from the spring-operated dart guns, the heavier weighted dart experiences a greater recoil force, which slows it down more than the regular dart.
Explanation:The question asks which of two darts fired from identical spring-loaded dart guns would go farther: a regular dart or a weighted dart. This relates to the principles of physics, specifically, the concepts of energy conservation and Newton's third law.
In a spring-operated dart gun, energy is stored in the compressed spring and then transferred to the dart when the spring is released. This total energy put into the system is conserved in the closed system of the dart gun and dart, and it is mostly converted into the kinetic energy of the dart (ignoring the system's internal energy losses).
Newton's third law states that for every action, there's an equal and opposite reaction. In this case, the spring's force propels both darts forward. However, the reaction - the backward push on the dart - will be greater for the heavier weighted dart, slowing it more compared to the regular one. Therefore, the regular dart will go further given that it faces less opposing force from the gun itself.
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When rocks experience high temperatures and differential stresses deep in the earth, their grains tend to ________?
A force of 40 N is applied on a body so that it attains a velocity of 20 m/s in 5 s. What is the mass of the body?
When Emeka was first training his dog, Smooches, to heel he would give Smooches a treat when she stayed close during walks. Now Smooches stays right by Emeka's side, even when she is not on her leash. In this case, a. the dog treats were positive reinforcers for staying close. b. the dog treats were negative reinforcers for staying close. c. the staying close was a positive reinforcer for receiving dog treats. d. the staying close was a negative reinforcer for receiving dog treats.
List three examples of material culture.
There are various examples of material culture like Tool, Monuments, Machines, etc.
What is Material Culture?The physical components of a society—the things that humans have created or altered—are referred to as material culture. These things are identified by their characteristics, whether chemical, physical, or biological, and they surround a population and its activities.
Shape, size, surface roughness, chemical composition and organization, molecular or cellular structure, color, and weight are examples of intrinsic properties of an entity.
Some more examples of material culture are :
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A girl delivering newspapers travels one block west then three blocks north then five blocks east. what is her resultant displacement?
what velocity does a 2kg mass have when its kinetic energy is 16 J
The velocity of a 2kg mass with a kinetic energy of 16 J is 4 m/s. This result is obtained by rearranging and plugging the given values into the kinetic energy formula.
Explanation:To find the velocity of a 2kg mass when its kinetic energy (KE) is 16 J, we can use the kinetic energy formula:
KE = (1/2)mv²
where:
m is the mass of the objectv is the velocity of the objectBy rearranging the formula to solve for v, we get:
v = √(2KE/m)
Substituting the given values:
v = √(2 × 16 J / 2 kg)
v = √(16 J / kg) = 4 m/s
So, the velocity of the 2kg mass when its kinetic energy is 16 J is 4 m/s.
The velocity of a 2 kg mass with 16 J of kinetic energy is 4 m/s, calculated using the kinetic energy formula KE = 0.5 * m * v² and solving for v.
Explanation:To find the velocity of a 2 kg mass when its kinetic energy is 16 J, we can use the kinetic energy formula:
KE = ½mv²
where:
KE is the kinetic energy,
m is the mass,
v is the velocity.
First, we can solve for v:
v = √(2KE/m)
Substitute the given values (KE = 16 J and m = 2 kg) into the formula:
v = √(2*16 J / 2 kg)
v = √(16 J/kg)
v = 4 m/s
Therefore, the velocity of the 2 kg mass is 4 m/s.
Seafloor spreading causes an oceanic plate to collide with a continental plate. If it were to go through the whole tectonic cycle, number the steps that would follow.
Answer: The entire process is mentioned in step-wise below-
Firstly, two plates moves opposite to each other, due to this the crust gradually become thin and subsequently rises up.On continuous thinning of the crust, at one point, the magma will come out to the surface producing a small rift.Rifting continuously takes place and results in a rift valley,and slowly after millions of years will form an ocean.Then, the two diverging plate will collide with another oceanic or continental plate, in which the more denser oceanic crust will get subducted beneath the less denser one.This suducted plate, at much greater depth undergoes partial melting and slowly makes its way up to the crust.This magma on further pushing towards the surface, initiates sea floor spreading, thus repeating the entire cycle.PLZZZZ I NEED HELP ASAP!!!!
Would Wegener have been more or less successful in convincing scientists today than he was when he proposed his ideas? Why or why not?
Q1.A toy rocket is launched with an initial velocity of 11.0 m/s in the horizontal direction from the roof of a 40.0 m -tall building. The rocket's engine produces a horizontal acceleration of (1.60 m/s3)t, in the same direction as the initial velocity, but in the vertical direction the acceleration is g , downward. Air resistance can be neglected.
Part A) What horizontal distance does the rocket travel before reaching the ground? write the answer with the unit.
The toy rocket falls to the ground due to gravity in 2.86 seconds. During this time, it travels horizontally under constant acceleration, covering a distance of approximately 93.67 meters.
Explanation:This type of problem involves projectile motion, a topic in physics. Since only vertical motion affects the time it takes for the rocket to hit the ground, we first find the time it takes for the rocket to fall from the roof to the ground. The equation to find time when we know height (H), initial vertical velocity (Vi), and acceleration due to gravity (g) is: t = √(2H/g). Plugging in H = 40 m and g = 9.8 m/s², we get t = √(2*40/9.8) = 2.86 seconds.
Next, we'll calculate the horizontal distance (or range) traveled by the rocket. The horizontal distance can be calculated using the equation x = Vi*t + 0.5*a*t², where Vi is the initial horizontal velocity, a is the horizontal acceleration and t is the time which we calculated in the previous step. Substituting the values, Vi = 11 m/s, a = 1.6*t, and t = 2.86 s, the equation becomes x = 11*2.86 + 0.5*1.6*2.86² = 93.67 m.
So, the horizontal distance that the rocket travels before reaching the ground is approximately 93.67 meters.
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Will the bulb light for the whole time that the capacitor discharges?
The bulb will light up when the capacitor discharges, but the brightness will continually decrease and the bulb will go out once the capacitor is fully discharged.
Explanation:In circuits containing capacitors, when the capacitor is fully charged, it starts the process of discharging. During the process of discharging, the capacitor transfers its stored energy which can light up a bulb. So, yes, theoretically, a bulb can light up during the time the capacitor discharges. However, the brightness of the bulb will diminish over time, as the energy stored in the capacitor decreases during a discharging process, resulting in a decreasing current in the circuit.
For example, imagine we have a simple circuit with a bulb, a resistor, and a discharging capacitor. At the start of the discharge process, when the capacitor holds the maximum charge, the bulb will shine the brightest. As the capacitor discharges, the current in the circuit will decrease, therefore the brightness of the bulb will also decline. When the capacitor is fully discharged, the current will be zero and therefore the bulb will not light up anymore.
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Final answer:
The bulb in a circuit with a discharging capacitor will remain lit as long as there is sufficient current flowing through it. The duration depends on the circuit's time constant and the bulb's required current to produce light. The stored energy of the battery and bulb's power consumption determine how long the bulbs will stay lit.
Explanation:
The question pertains to the discharge of a capacitor in a simple electrical circuit and whether a bulb connected to this circuit will remain lit throughout the discharge process. When a charged capacitor starts to discharge through a bulb (or any resistive load), the bulb will light up. As the capacitor discharges, the voltage across it decreases, which in turn causes the current through the bulb to decrease. The bulb will stay lit as long as there is sufficient current flowing through it to produce light. The duration for which the bulb stays lit will be influenced by the effective resistance of the circuit and the capacitance value.
For more complex circuits, such as one with a neon lamp, the bulb will light up when the capacitor discharges through the lamp. However, once the capacitor's voltage drops below the lamp's 'strike voltage', the lamp will turn off, and the capacitor may continue to discharge without producing light. Hence, the bulb does not necessarily stay lit for the entire duration of the capacitor's discharge. Instead, it stays lit until the voltage and current are too low to sustain illumination.
If a battery has a total stored energy of 800 W hr and it produces a constant potential difference until discharged, to determine how long the bulbs will stay lit, one would need to know the power consumption of the bulbs and the system voltage. This would allow for the calculation of the discharge time using the relationship between power, energy, and time.
i need a answer quick pleasee!!!!
Which of the following are correct statements about electrons
A. the valence shell is the furthest shell from the nucleus
B. there are four electrons in every electron shell
C. Electrons are in the nucleus of an atom
D. Electrons are located in layers around the nucleus
an object has a velocity of 8 m/s and a kinetic energy of 480 J what is the mass of the object
We have first velocity equals 8 m/s and the kinetic energy is 480 J
The order is the mass of the object
We have this formula K= mv2/2 isolating the mass we have m=k/v2
Now we will have m=480/8×8 > m= 480/64 m= 7.5kg now we deternimed the mass it's 7.5 kg
explain why an iron nail that is stuck to a magnet can pick up a paperclip
Answer:
because its metal
Explanation:
Velocity Describes ______ ?
A) speed and direction
B) speed and momentum
C) force and direction
D) gravity and direction
A ball with a mass of 0.25 kg hits a gym ceiling with a force of 78.0 n. what happens next?
a. the ball accelerates downward with a force of 80.5 n.
b. the ball accelerates downward with a force of 78.0 n.
c. the ball accelerates downward with a force of 2.45 n.
d. it depends on the height of the ceiling.
After the ball hits the ceiling with a force of 78.0 N, it experiences a net force of 75.5 N downward due to the impact force minus its weight, causing it to accelerate downward.
Explanation:When a ball with a mass of 0.25 kg hits the gym ceiling with a force of 78.0 N, the force exerted on the ceiling by the ball is equal and opposite to the force exerted on the ball by the ceiling, according to Newton's third law of motion. Right after the impact, the ball will experience a net force in the downward direction which will cause it to accelerate downward. This net force can be calculated by subtracting the weight of the ball from the applied force. The weight of the ball, which is the force due to gravity, is the mass of the ball times the acceleration due to gravity (0.25 kg * 9.8 m/s² = 2.45 N). Thus, the net force on the ball after hitting the ceiling would be 78.0 N - 2.45 N = 75.5 N downward. Therefore, the correct answer to what happens to the ball next is that it accelerates downward with a force of 75.5 N.
The Fahrenheit temperature reading is 98 on a hot summer day. What is this reading on the Celsius scale?
Holden is trying to determine the velocity of his race car. He went 20 meters east, turned around, and went 40 meters west. He turned the car one more time and went 35 meters east. His car was 15 meters from the starting line. This took 5 seconds. What is the car’s velocity?
Answer:
3 m /s
Explanation:
Average velocity is defined as the ratio of total displacement to the total time taken. The formula of average velocity is given by
[tex]Average velocity = \frac{Total displacement}{Total time taken}[/tex]
Take east direction is positive and west is negative.
Here the total displacement is
d = 20 - 40 + 35 = 15 m
t = 5 second
Average velocity = 15 / 5 = 3 m/s
A block has acceleration a when pulled by a string. if two identical blocks are glued together and pulled with twice the original force, what will their acceleration be?
To a stationary observer, a bus moves north with a speed of 10 m/s. A man inside walks toward the back of the bus with a speed of 0.4 m/s relative to the bus. What is the velocity of the man according to a stationary observer? A. 0.4 m/s north B. 10.4 m/s north C. 10 m/s north D. 9.6 m/s north
describe the motion of an unanchored rowboat when a water wave passes
The motion of an unanchored rowboat when a water wave passes, the boat moves along with the waves. The boat doesn't move forward as waves could not take the boat along with it.
What is the motion of water waves?The water waves are waves that have a combination of both longitudinal and transverse waves. Longitudinal waves are the waves that cause the medium to move parallel to the direction of the waves.
Transverse waves are the waves that cause the medium to move perpendicular to the direction of the waves. When the waves travel through the water, the particles move in a clockwise direction. Most of the waves are formed by the winds.
The motion of the unanchored rowboat, when water pass is a boat, is moved up and down along with the wave. But the boat does not move forwards along with the wave. Because the wave does not carry the boat with it.
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Which statement is true regarding the "relationship merry-go-round"?
A. By the age of 40, about 75% of Americans have married at least once.
B. Most people chose to remain single in order to pursue career goals.
C. Arranged marriages are no longer the norm in India.
D. In some cultures, romantic love was considered a form of madness.
A common finding with couples who can’t connect or resolve their problems is that they reason out or feel that it’s the other individual who can’t connect, not them. It’s the other individual that has the problem and they remain to think "I’m right and you’re wrong." The answer is letter a. In 40 percent of new weddings, one or both partners has been wedded no less than once before. Men are more probable to re-wed than women who've been wedded before.
What was the correct answer?