The initial speed of the bullet is 200 m/s.
What is Conservation of momentum?Conservation of momentum is a law of physics which states that the total momentum of a system remains constant over time. This means that when two or more objects interact, the total momentum of the system remains the same before and after the interaction. The law of conservation of momentum is applicable to both isolated systems and systems that interact with external forces. It is an important concept in a variety of applications ranging from collisions of particles to the motion of galaxies. Conservation of momentum also plays an important role in the field of quantum mechanics.
The initial speed of the bullet can be calculated using the conservation of momentum equation:
m₁v₁ + m₂v₂ = m₁v′₁ + m₂v′₂
where m₁ is the mass of the bullet, v₁ is the initial speed of the bullet, m₂ is the mass of the pendulum, v₂ is the initial speed of the pendulum, v′₁ is the final speed of the bullet, and v′₂ is the final speed of the pendulum.
In this problem, m₁ = 7.0 g, v₁ = ?, m₂ = 1.5 kg, v₂ = 0 m/s, v′₁ = 200 m/s, and v′₁ = 0 m/s.
Substituting this into the equation, we get:
7.0 g x v₁ + (1.5 kg)(0 m/s) = 7.0 g(200 m/s) + (1.5 kg)(0 m/s)
Solving for v₁, we get:
v₁ = 200 m/s
Therefore, the initial speed of the bullet is 200 m/s.
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Compare the values for index of refraction of glass for each trial (values in last column) Is there good agreement between them? Would you conclude that index of refraction is constant for & given medium? Compare your calculated nz with the given index of refraction, nglass. Do they agree? Explain why it does or doesn't"
The calculated average n2 does not agree with the given index of refraction, indicating a potential discrepancy that may be attributed to experimental limitations or errors.
To analyze the agreement between the values for the index of refraction (n2) of glass in each trial, we can observe the trend and variation in the data. From the table, it appears that the values for n2 increase as the angles θ1 and θ2 increase. However, it is difficult to determine the level of agreement between the values without further statistical analysis or calculation of uncertainties.
The conclusion regarding whether the index of refraction is constant for a given medium depends on the level of agreement observed. If the values for n2 in each trial are close to each other and do not deviate significantly, it suggests good agreement and supports the hypothesis of a constant index of refraction.
On the other hand, if there is significant variation and inconsistency among the values, it indicates that the index of refraction may not be constant for the given medium.
To determine the average value of n2 from the provided results, we can calculate the mean of the n2 values:
Average n2 = (1.46 + 1.61 + 1.73 + 1.96 + 2.08 + 2.13) / 6 ≈ 1.85
Comparing the calculated average n2 (1.85) with the given index of refraction of the glass (1.50), we can see that they do not agree. The calculated average n2 is higher than the given value of 1.50. This suggests that there might be some systematic error or uncertainties in the measurements or calculations.
The difference between the calculated and given values could be due to factors such as experimental errors, instrumental limitations, or other sources of uncertainty in the measurement process.
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Complete question is:
Calculate sinθ1, sinθ2 and n2 for each of your results and add them to table 1. Keep your results to 2 or 3 significant figures.
Compare the values for index of refraction of glass for each trial (values in last column). Is there good agreement between them? Would you conclude that index of refraction is a constant for a given medium?
Determine the average value of n2 from your results.
Compare your calculated n2 with the given index of refraction of the glass (1.50). Do they agree? Explain why it does or doesn’t.
answer with proper explanation
Answer:
B
Explanation:
Moment = force * perpendicular distance
Since the beam is balanced(equilibrium), the 2 moments will be equal.
30 * P = 70 * Q
The 2 combinations which achieve this equality is P = 21 and Q = 9
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where are earthquakes most likely to occur
Answer: C
Where stress has built up between plates
Hope this helps, if wrong please let me know
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the microwave used to heat your food and the cell phones you use are part of the ____.
The microwave used to heat your food and the cell phones you use are part of the electromagnetic spectrum. The electromagnetic spectrum is a range of all types of electromagnetic radiation, including radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. Each type of radiation has a specific wavelength and frequency, determining its energy and application.
Microwaves, which have longer wavelengths and lower frequencies compared to visible light, are used in microwave ovens for heating food. They work by inducing polar molecules, such as water, in the food to rotate, generating heat through friction.
Cell phones, on the other hand, utilize radio waves for communication. Radio waves have even longer wavelengths and lower frequencies than microwaves. Cell phones send and receive signals through antennas by transmitting and detecting radio waves, allowing us to stay connected with others.
Both microwaves and cell phones are examples of everyday technologies that harness the properties of the electromagnetic spectrum to perform essential functions. While they differ in their specific applications, they both showcase the versatility and importance of understanding electromagnetic radiation.
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A 62-kg ice-skater moving at 6.3 m/s glides to a stop.
Assuming the ice is at 0∘C and that 50% of the heat generated by friction is absorbed by the ice, how much ice melts? The heat of fusion for water is 333 kJ/kg.
Express your answer to two significant figures and include the appropriate units.
Expert Answer
Due to the heat generated by friction, around 0.0019 kg of ice melts as the ice-skater comes to a stop.
When a 62-kg ice-skater moving at 6.3 m/s comes to a stop, friction between the ice and the skates generates heat. To determine the amount of ice that melts due to this heat, we can calculate the energy transferred and use the heat of fusion for water.
The initial kinetic energy of the ice-skater is calculated using the formula (1/2) * mass * velocity^2. Substituting the values, we find the initial kinetic energy to be 1237.35 J.
Assuming that 50% of the heat generated by friction is absorbed by the ice, we calculate the heat generated by multiplying the initial kinetic energy by 0.5, resulting in 618.675 J.
To determine the mass of ice that melts, we divide the heat generated by the heat of fusion for water, which is 333 kJ/kg. The mass of ice melted is found to be approximately 0.001856 kg.
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how fast is a ball rolling if it contains 98 J of kinetic energy and had a mass of 4 kg
7 meters per second is the speed of the 4.0kg ball with a kinetic energy of 98J .
What is the speed of the rolling ball ?Energy possessed by an object due to its motion is referred to as Kinetic energy.
This is expressed as;
K.E = 1/2 × m × v²
Where the velocity is v, mass is m.
Given that;
Kinetic energy = 98JMass = 4kgSpeed = ?To determine the speed of the rolling ball, substitute the given values into the kinetic energy formula and solve for velocity.
Kinetic energy = 1/2 × mass × (speed)²
98J = 1/2 × 4kg × (speed)²
98kgm²/s² = 0.5 × 4kg × (speed)²
98kgm²/s² = 2kg × (speed)²
(speed)² = 98kgm²/s² / 2kg
(speed)² = 49kgm²/s²
Speed = √( 49kgm²/s² )
Speed = 7m/s
Therefore, the speed of the rolling ball is 7m/s.
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what forces must a tire deliver to the surfaces on which it travels?
When a tire travels over a surface, it must deliver three forces to ensure proper movement. These three forces are the longitudinal force, the lateral force, and the vertical force. These forces are essential for a tire to maintain good traction and control while traveling on the surface.
The Longitudinal force refers to the force that is delivered parallel to the direction of the vehicle's movement. The amount of longitudinal force that a tire can deliver will determine the amount of torque that is transferred from the vehicle to the surface beneath it.
This force is required to ensure that the vehicle moves forward or backward in the desired direction. The Lateral force refers to the force that is delivered perpendicular to the direction of the vehicle's movement. This force is required to ensure that the vehicle can maintain its course on the road or surface on which it's traveling. The lateral force must be controlled to ensure the vehicle stays on its desired path.
The vertical force refers to the force that is delivered downward on the surface. This force is required to maintain the tire's contact with the road or surface beneath it. The amount of vertical force delivered must be sufficient to support the vehicle's weight. This force is critical in preventing the tire from losing grip while moving over an obstacle or when the vehicle is taking turns.
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1. Horses with the greatest linear speed on a merry-go-round are located
A) near the center.
B) near the outside.
C) anywhere, because they all move at the same speed.
A riverbed with a shallow slope will yield high velocity streamflow. True False
Streamflow is the flow of water in streams, rivers, and other channels, and is a key component of the water cycle. It's influenced by a variety of factors, including the shape and depth of the riverbed, the gradient of the stream, the size and shape of the channel, and the amount of water flowing through it. The given statement is false.It is affected by many factors.
All of these factors influence the velocity of the streamflow. Riverbed and streamflow relationshipThe velocity of streamflow is primarily influenced by the gradient or slope of the riverbed. A shallow slope will not yield high velocity streamflow, but instead will create a slow-moving, meandering stream with a high potential for sedimentation and erosion. In contrast, a steep gradient will create a fast-moving stream with a higher velocity and more turbulent water. As a result, a steeper slope will produce higher velocity streamflow than a shallower slope, which will produce slower-moving streamflow. Therefore, a riverbed with a shallow slope will not yield high velocity streamflow. The statement is false.
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A safety helmet extends the time of impact from 0.005 s to 0.020 s. By what factor is the average force that causes the impact reduced?
Answer:
4
Explanation:
Impact Force = mv/2t
Impact force is inversely proportional to t
If m and v are constant and the only thing that changes is t, then:
0.005 s increases by a factor of 4 to 0.020 s
Therefore, impact force reduces by a factor of 4 (1/4 less than when the time of impact was 0.005 s)
Why should you choose why should you choose wire with a thinner insulation?
Answer:
Because of the given stranded wires is that it's thinner there are even more air gaps and a greater surface area in the individual stranded wires then therefore it carries less current than similar solid wires can with each type of wire , insulations technologies can greatly assist in reducing power dissipation.
Ayala is making salad dressing. She mixes oil and vinegar in a blender until a smooth consistency is formed. Explain whether this is a heterogeneous or a homogeneous mixture and why
Answer:Hetero
Explanation: Honestly, same as the last guy said
According to the universal law of gravitation, the force due to gravity is b. directly proportional to the square of the distance between objects. d. not dependent on the distance between objects. c. inversely proportional to the distance between objects. a. inversely proportional to the square of the distance between objects. e. directly proportional to the distance between objects.
According to the universal law of gravitation, the force due to gravity is a. inversely proportional to the square of the distance between objects.
What is the universal law of gravitation?
Newton's law of universal gravitation states that objects are attracted to each other in the universe with a force directly proportional to the product of their masses and inversely proportional to the square of their distance apart.
The equation that represents this law is;
F = G × M1M2 ÷ r∧2
Where,
F is the gravitational force acting between two objects
M1 and M2 are the masses of the objects
r is the distance between the centers of their masses
G is the gravitational constant.
Thus. according to the universal law of gravitation, the force of gravity is inversely proportional to the square of the distance between objects.
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A jet is flying from atlanta to gulfport and is cruising at Mach .79 or 844 km/hr. During the last 89 km it reduces its speed for landing at a rate of -2780 km/hr^2. How long will it take for the jet to reach landing speed? What was the landing speed of the jet?
Answer:
The time it takes for the jet to reach landing speed is approximately 0.136 hours which is approximately 489 seconds
The landing speed is approximately 466.365 km/hr
Explanation:
The given parameters are;
The initial cruising speed of the jet = Mach 0.79 = 844 km/hr
The rate of speed reduction in the last 89 km = -2780 km/hr²
The distance it takes the jet to reduce its speed for landing = 89 km
Given the above information, we make use of the following equation of motion;
s = u·t - 1/2·a·t²
v² = u² - 2·a·s
Where;
s = The distance over which the acceleration (deceleration) is applied = 89 km
u = The initial velocity = 844 km/hr
t = The time taken for the accelerating/decelerating motion
v = The final velocity (landing speed)
Substituting the values gives;
v² = 844² - 2·(2780)·89 = 217496
v = √217496 = 466.365 km/hr
v ≈ 466.365 km/hr
Therefore, the landing speed, v ≈ 466.365 km/hr
The time it takes is given by the equation, v = u - a·t
Therefore;
t = (u - v)/a = (844 - 466.365)/2780 ≈ 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
From, s = u·t - 1/2·a·t², we have
89 = 844·t - 1/2 × 2780 × t²
89 = 844·t - 1390 × t²
1390 × t² - 844·t + 89 = 0
Solving with an online application gives;
t = 211/695 + (√(27187/2))/695 = 0.4715 hours or t = 211/695 - (√(27187/2))/695 = 0.136 hours
We note that the second time is for the time it will take the jet to get back to 89 km after reaching a speed of 0
Therefore, the correct time is t = 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
our atmosphere is transparent to solar radiation, but it traps the energy that causes the greenhouse effect. why? view available hint(s)for part a our atmosphere is transparent to solar radiation, but it traps the energy that causes the greenhouse effect. why? because the solar energy absorbed by earth is reradiated as higher-frequency radiation because the solar energy absorbed by earth is reradiated as longer-wavelength radiation because the solar energy absorbed by earth is reradiated and doesn't reach the atmosphere because the solar energy absorbed by earth is reradiated as larger-intensity radiation
Our atmosphere is transparent to solar radiation, but it traps the energy that causes the greenhouse effect because the solar energy absorbed by Earth is reradiated as longer-wavelength radiation.
How is the atmosphere transparent to solar radiation?The atmosphere is transparent to incoming solar radiation, which is mostly visible light and short-wavelength radiation. However, the Earth absorbs some of this solar radiation and heats up.
The Earth then radiates this heat energy back out to space as longer-wavelength radiation, mostly in the form of infrared radiation. The greenhouse gases in the atmosphere, such as carbon dioxide and water vapor, are able to absorb this longer-wavelength radiation and trap some of the heat energy in the atmosphere, causing the greenhouse effect.
Hence, this is why the atmosphere is transparent to solar radiation but traps the energy that causes the greenhouse effect.
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What are the forces acting on a catapult?
A mechanical device known as a catapult launches a projectile using stored energy and the forces which works on it are gravity, air resistance, and friction are among the more significant forces.
Both internal and exterior forces can be used to describe the forces operating on a catapult. The catapult's structure, including the tension in the ropes or the compression in the springs, produces internal forces.
The external forces are those that exert external pressure on the catapult, such as the projectile's mass and the wind's force. The tension in the ropes, which supplies the energy needed to propel the projectile, is the most significant force operating on a catapult.
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A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)
Answer:A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)
Explanation:
The heat produced by friction between a skate and the ice during movement over the surface melts the topmost layer of ice. However, even when you are still, ice is still slick. When you remain still on ice, there is no friction to produce heat, but the ice is still slippery.
What ice melted as a result of the work done by friction?Although friction does generate heat, the amount of heat it produces is insufficient to melt ice that is at a very low temperature. But even at low temperatures, ice still creates a slick liquid layer. The formation of a slippery coating even when the item is totally still cannot be explained by frictional heating.
Therefore, A rough floor is traversed by a 2.2 kg lump of ice. It moves at a final speed of 0.50 m/s after starting out at 2.5 m/s. What portion of the ice block melted as a result of the friction's work? (Water has a latent heat of 3.3×105 J/kg.)
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whats the order of the life cycle of a star?
Answer:
no idea about this question
Explanation:
i am very very sorry!
the apparent path of the sun across the celestial sphere during a year is called the:
The apparent path of the sun across the celestial sphere during a year is called the ecliptic. The ecliptic is an imaginary line on the celestial sphere that represents the apparent path of the Sun against the background stars, as seen from Earth. The ecliptic is important in astronomy because it defines the plane of Earth's orbit around the Sun, known as the plane of the ecliptic.
The reason for the apparent path of the Sun across the celestial sphere is due to Earth's motion around the Sun, along with its own rotation on its axis. As Earth moves around the Sun, the Sun appears to move against the background stars over the course of a year. This apparent motion of the Sun is caused by Earth's axial tilt, which causes the Sun's path to appear to move up and down over the course of a year.
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Aball is thrown horizontaly from the top of a building with an initial velocity of 15 meters per second. At the same instant, a second ball is dropped from the top of the building. Which of the following is the
same for the two balls?
Answer:
Both balls have the same downward acceleration (and speed)
When measurements are close to their true values, they are said to be
A. accurate
B. estimated
C. precise
D. standardized
Answer:
When measurements are close to true
value they are called to be accurate
Explanation:
Answer:
A) accurate
Explanation:
Accuracy refers to how close a measurement is to the true value of what is being measured.
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Carbohydrates contain that your body absolutely must have to stay alive.
Ο Α. hormones
ОВ. chemicals
O C. fats
O D. minerals
Answer:
C
Explanation:
In the absence of air resistance, from what height should the diver
jump so he hits the water at a speed of 24 m/s? (Set the air resistance
slider to none. Adjust the height slider so the diver hits the water with
a speed of 24 m/s. )
The height at which the diver must jump in other to hit the water with a speed of 24 m/s is 29.4 m.
The height of the player above the ground can be calculated using the formula below.
v² = u²+2gs................. Equation 1Where:
v = final velocity of the diveru = initial velocity of the divers = height from where the diver will fallg = acceleration due to gravity.From the question,
⇒ Given:
v = 24 m/su = 0 m/sg = 9.8 m/s².⇒ Substitute these values into equation 1
24² = 0²+(2×9.8×s)⇒ Solve for s.
s = 24²/(2×9.8)s = 29.4 mHence, The height at which the diver must jump in other to hit the water with a speed of 24 m/s is 29.4 m.
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2. Use delta to wye resistance. transformation to find the total Also, determine the total current. 100 V (+ 2002 N 40 M 1965 120V I₁ 50 3.0 100 92 M- W Io 302 10 N 270 3.Reduce the circuit to a single loop network using source transformation then find lo. N62 $452 N 82 182 4022 3A
The total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.
To find the total resistance and total current in the given circuit, let's break down the steps:
1. Delta to Wye Transformation:
- Identify the resistors in the delta configuration: 200Ω, 40Ω, and 120Ω.
- Apply the delta to wye transformation to convert the resistors into a wye configuration:
- R₁ = (Rb * Rc) / (Ra + Rb + Rc) = (40 * 120) / (200 + 40 + 120) = 16Ω
- R₂ = (Ra * Rc) / (Ra + Rb + Rc) = (200 * 120) / (200 + 40 + 120) = 96Ω
- R₃ = (Ra * Rb) / (Ra + Rb + Rc) = (200 * 40) / (200 + 40 + 120) = 32Ω
- Replace the delta configuration with the wye configuration using the calculated values: R₁ = 16Ω, R₂ = 96Ω, R₃ = 32Ω.
2. Total Resistance Calculation:
- The total resistance (RT) in the circuit is the sum of the individual resistances:
- RT = R₁ + R₂ + R₃ = 16Ω + 96Ω + 32Ω = 144Ω.
3. Total Current Calculation:
- The total current (I) can be calculated using Ohm's Law: I = V / RT, where V is the voltage across the circuit.
- Given that the voltage (V) is 100V, the total current (I) is: I = 100V / 144Ω = 0.694A.
Therefore, the total resistance in the circuit is 144Ω, and the total current is approximately 0.694A.
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How do collisions affect the momentum of objects?
HELP ASAP
Answer:
Since the two colliding objects travel together in the same direction after the collision, the total momentum is simply the total mass of the objects multiplied by their velocity.
Explanation:
why do sport activities be part of our life?
Answer:
Sport lowers high blood pressure, Keeps cholesterol level right. Blood circulation in the body is relatively high during play, so nutrients can go to all parts of the body. Moreover, white blood cells increase during play that increases the body’s immunity power. That’s why sports is important in our life.
Explanation:
yes
Planets revolve around the sun why
Which statement below is Gauss's Law for electric fields? Please note, we are not asking which statement is true, we are asking which statement is Gauss's Law. As an example, 2+2-4 is true but it is not a statement of Gauss's Law. O The electric flux through a surface is equal to the integral of the normal component of the electric field over the surface O 2+2-4 The electric flux through a closed surface is equal to the net charge inside the surface divided by the physical constant The electric flux is equal to the amount of charge flowing through a surface in a given time.
“The electric flux through a closed surface is equal to the net charge inside the surface divided by the physical constant. This law is a fundamental principle in electrostatics and is expressed mathematically as E.ds = Q/ε0.
Gauss’s Law for electric fields is a fundamental principle in physics, specifically in the study of electrostatics. The law describes the relationship between the electric flux and the distribution of electric charges in a given space. Simply put, it states that the electric flux through a closed surface is proportional to the total amount of electric charges inside the surface. In mathematical terms, the statement of Gauss’s Law for electric fields is as follows: E.ds = Q/ε0Here, E.ds represents the electric flux through a closed surface, Q represents the total electric charge enclosed within the surface, and ε0 is the physical constant known as the permittivity of free space. This equation can be used to calculate the electric field created by a given charge distribution, provided that the electric flux through a closed surface around the distribution is known.
Gauss’s Law for electric fields states that the electric flux through a closed surface is proportional to the net electric charge enclosed within the surface. This law is a fundamental principle in electrostatics and is expressed mathematically as E.ds = Q/ε0.
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What is work and give an example? (science newton's law)
Answer:
Work is ability if application of energy.
Such as pushing a wheel barrow through a distance ( Newton's third law )
Work is the ability to do something.
Does the generated EMF depend on winding factor? How? What will be the output frequency of a six Pole per phase, 1400 rpm alternator? What is the use of form factor in equation for generated EMF? What
Yes, the generated EMF depends on the winding factor. The winding factor (KW) is defined as the ratio of the effective value of the induced EMF in one phase to the phase RMS value of the EMF that would be produced if all the coils in the phase were in the same plane.
What is the use of the form factor in the equation for the generated EMF?
Form factor is defined as the ratio of the RMS value to the average value of an alternating waveform. It is represented by the symbol Kf. Form Factor is a ratio of the effective (rms) value of a waveform to the average (dc) value of the waveform.The use of form factor is in the equation for generated EMF, where the peak value of the generated EMF can be calculated by multiplying the form factor by the RMS value. The equation for generated EMF is given as, E = Kf * Kt * Φ * N * 2π / 60where E is the generated EMF, Kf is the form factor, Kt is the distribution factor, Φ is the flux per pole, N is the speed in rpm and 2π / 60 is a constant.
The output frequency of a six Pole per phase, 1400 rpm alternator is calculated by the formula: f = P × N / 120 where f is the output frequency, P is the number of poles and N is the speed in rpm.Substituting the given values,
f = 6 × 1400 / 120f = 70 Hz
Therefore, the output frequency of a six Pole per phase, 1400 rpm alternator is 70 Hz.
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