The block attached to the spring is at rest before being struck by the stone. When the stone strikes the block, it imparts momentum to it, causing it to move. This means that both the block and the stone will experience a change in momentum.
To find the final velocity of the block and the stone, we can use the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the product of its mass and velocity. The initial momentum of the system (block + stone) is the sum of the momentum of the block and the momentum of the stone before the collision.
After the collision, the block and the stone move together as a single unit. To find the final velocity of the block and the stone, we can use the principle of conservation of mechanical energy, which states that the total mechanical energy before the collision is equal to the total mechanical energy after the collision.
In this case, the only form of mechanical energy is kinetic energy. The initial kinetic energy of the system is the sum of the kinetic energy of the block and the kinetic energy of the stone before the collision.
The final kinetic energy of the system is the sum of the kinetic energy of the block and the kinetic energy of the stone after the collision.
Since the block is attached to a spring, it will oscillate back and forth around its equilibrium position. The force constant of the spring determines how stiff or soft the spring is. In this case, the force constant of the spring is 425 N/m. This means that for every meter the block is displaced from its equilibrium position, the spring will exert a force of 425 N in the opposite direction.
This information allows us to calculate the period and frequency of the block's oscillations. The period is the time it takes for the block to complete one full oscillation, while the frequency is the number of oscillations per second.
The period of an oscillating system can be calculated using the formula T = 2π√(m/k), where T is the period, m is the mass of the block, and k is the force constant of the spring.
The frequency can be calculated using the formula f = 1/T, where f is the frequency and T is the period.
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A student drops a 7.5kg pumpkin out of a stationary helicopter 550m above the ground.
The impact force experienced by the pumpkin will be equal to the mass of the pumpkin multiplied by its velocity at impact, which in this case is 422.4 kg m/s.
What is mass?Mass is a physical property of matter that is defined as a measure of the amount of matter present in a given object. It is measured in units of kilograms (kg), grams (g), or pounds (lbs). Mass is related to the inertia of an object, which is its resistance to changes in its motion.
The student dropping the pumpkin from the helicopter would experience a force of acceleration due to gravity as the pumpkin falls. The acceleration due to gravity is 9.8 m/s², so the pumpkin will accelerate at a rate of 9.8 m/s² as it falls. The initial velocity of the pumpkin is 0 m/s, so the final velocity at the end of the 550 m fall will be:
Vf = g x t = 9.8 m/s² x (550 m / 9.8 m/s²)
Vf = 56.12 m/s
This means that the pumpkin will reach a final velocity of 56.12 m/s when it hits the ground. The impact force experienced by the pumpkin will be equal to the mass of the pumpkin multiplied by its velocity at impact, which in this case is:
F = 7.5 kg x 56.12 m/s
F = 422.4 kg m/s
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a 50 kg aardvark runs with a speed of 6 m/s. what is the kinetic energy of the aardvark
Answer:
900 J
Explanation:
0.5 x 50= 25 x 6^2= 900 J
A person runs 15.0 km north then turns around and runs 10.0 Km south. what is his dstance
Answer:
25km
Explanation:
The person runs 15km Northward
Turns around and runs 10km southward
The distance is the length of path covered by the person running.
This is given as:
Distance = Distance North + Distance South
Distance = 15km + 10km = 25km
Answer:
25km
Explanation:
cant explain but ik
A very long straight current-carrying wire produces a magnetic field of 20 mt at a distance d from the wire. to measure a field of 5 mt due to this wire, you would have to go to a distance of:_________
The distance covered is 4d.
What is the distance?Distance is a measure of how far apart two objects or locations are using numbers. The distance can refer to a physical length or an estimate based on other factors in both daily language and physics (e.g. "two counties over").The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably.A distance function or metric is a technique to describe what it means for components of space to be "near to" or "far away" from each other in mathematics.It is a generalization of the idea of physical distance. Distance is a non-numerical unit of measurement in psychology and the social sciences; psychological distance is the separation of an object from itself along dimensions including time, space, and isolation.We know that
the magnetic field is inversely proportional to distance.
\(\dfrac{B_1}{B_2} = \dfrac{D_2}{D_1}\)
\(\dfrac{20}{5} = \dfrac{D_2}{d}\)
\(D_2 = 4d\)
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QuestionA ball is thrown at a speed of 20m/s at an angle of 30 o with the horizontal. The maximum height reached by the ball is (use g=10m/s^2)A2mB3mC4mD5m
The maximum height reached by the ball is 5 meters (option D).
We can use the following equation:
h = (v^2 * sin^2 θ) / (2g) where h is the maximum height, v is the initial velocity (20 m/s), θ is the angle (30 degrees), and g is the acceleration due to gravity (10 m/s^2).
Plugging in the values, we get:
h = (20^2 * sin^2 30) / (2 * 10)
h = (400 * 0.25) / 20
h = 5 meters
Therefore, the answer is D) 5m.
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Which two statements best determine whether an engineering design is
successful?
A. Specific project goals were met.
OB. Time and money limitations were not exceeded.
C. The project received all the necessary funding.
D. The final design was achieved with very few revisions.
D E. The completed design was popular among engineers.
Answer: A and B
Explanation:
just took the apex test
Two statements best determine whether an engineering design is
successful
A. Specific project goals were met.
B. Time and money limitations were not exceeded
What is Project in engineering design?
A "project" consists of a coordinated series of activities or tasks performed by engineers, designers, drafters and others from one or more engineering disciplines or departments.
It is important to meet the need of project what the company wants , to meet the project goals for the correct execution of the project . Setting goals can give you a clear focus , motivates employee and set target for your project to work towards
Since , every project have a budget and a need to know if a project is worth the cost or not .
Both overestimation and underestimation of money have negative consequences and any delay in producing the end result of project can reduce the time to market and lead to reduction of profit.
correct options are
A. Specific project goals were met.
B. Time and money limitations were not exceeded.
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An object accelerates 12.0 m/s² when a force of 6.0 newtons is applied to it.
What is the mass of the object
Answer:
0.5 kgExplanation:
The mass of the object can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{6}{12} = \frac{1}{2} \\ \)
We have the final answer as
0.5 kgHope this helps you
m = f/a
6 / 12 = 0.5
answer - 0.5
How do I find N1 usings snell's law?
N1=? Theta1=40° N2=2.61 Theta=34°
Answer:
To use Snell's law to find N1, we need to know the indices of refraction and angles of incidence and refraction of the two media.
Snell's law states that:
n1 sin(theta1) = n2 sin(theta2)
where n1 and n2 are the indices of refraction of the two media, theta1 is the angle of incidence, and theta2 is the angle of refraction.
We are given n2=2.61, theta1=40°, and theta2=34°. To find N1, we need to rearrange Snell's law to solve for n1:
n1 = n2 sin(theta2) / sin(theta1)
Plugging in the values we have:
n1 = 2.61 sin(34°) / sin(40°)
n1 ≈ 2.22
Therefore, the index of refraction of the first medium (N1) is approximately 2.22, based on the given values and Snell's law.
A circuit with a battery, a 14 Ω resistor, and a 17 Ω resistor, in parallel. The total current is the system is 2.8 A. What is the voltage of the battery?
Given data:
* The total current in the system is I = 2.8 A.
* The resistance of resistors connected in parallel is,
\(\begin{gathered} R_1=14\text{ ohm} \\ R_2=17\text{ ohm} \end{gathered}\)Solution:
The equivalent resistance of the system is,
\(\frac{1}{R_{eq}}=\frac{1}{R_1}+\frac{1}{R_2}\)Substituting the known values,
\(\begin{gathered} \frac{1}{R_{eq}}=\frac{1}{14}+\frac{1}{17} \\ \frac{1}{R_{eq}}=\frac{17+14}{14\times17} \\ R_{eq}=\frac{14\times17}{17+14} \\ R_{eq}=7.68\text{ ohm} \end{gathered}\)According to Ohm's law, the voltage across the battery in terms of the current and equivalent resistance is,
\(\begin{gathered} V=IR_{eq} \\ V=2.8\times7.68 \\ V=21.5\text{ volts} \end{gathered}\)Thus, the voltage across the battery is 21.5 volts.
How is the sun energy important to the earth
Suppose a wire is connected between points 1 and 2. What happens to each bulb? does it get brighter, stay the same, get dimmer, or go out? Explain.
Each bulb will stay at the same brightness position as before. When a wire is connected between points 1 and 2 the circuit becomes a parallel circuit.
In a parallel circuit, the voltage across each bulb remains the same, and each bulb will remain at the same brightness position as before. The wire was connected assuming that the voltage supplied to the circuit remains constant. The overall resistance in the circuit will drop due to the added wire, so the total current supplied by the voltage source will increase.
This increased current will be divided between the bulb so each bulb will admit a slightly advanced current than earlier but not enough to create a noticeable increase in lightness. thus, each bulb will stay at the same brightness position as before.
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How many ohms is the resistance of the electric heater connected to 220 V voltage
Answer:
44 ohms.
Explanation:
R for V (according to Ohm's law). This second formula is more frequently used in practice to calculate resistive heating, whereas the first formula has other, more general applications. As we might infer from the equation, the units of watts also correspond to amperes2 x ohms (A2 x Ω).
a flat square sheet of thin aluminum foil, 25 cm on a side, carries a uniformly distributed 275 nc charge. what, approximately, is the electric field a. 1.0 cm above the center of the sheet and b. 15 m above the center of the sheet?
A) The electric field at 1.0 cm above the center of the sheet is 2.5 × 10⁵ N/C, B) the electric field 15 m above the center of the sheet is 11 N/C.
Side of the square sheet, l =25 cm = 0.25 m
Uniformly distributed charge, Q = 275 × 10⁻⁹ C
ε₀ = 8.8 × 10⁻¹²
a) When close to the sheet, we assume it as an infinite sheet, So,
E = σ/2ε₀,
σ = Q/l²
E = Q/(2ε₀l²)
E = (275 × 10⁻⁹)/(2×8.8 × 10⁻¹²×0.25²)
E = 2.5 × 10⁵ N/C
B) When far from the sheet, we assume it as a point charge, if R = 15 m
E = Q/(4πε₀R²)
E = (275 × 10⁻⁹)/(4π×8.8 × 10⁻¹²× 15²)
E = 11 N/C
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FOR THOSE SMARTIES!! If the speed of an object is doubled, which of the following must also double?
a. the mass of the object
b. the kinetic energy of the object
c. the gravitational potential energy of the object
d. none of these
Answer:
i think b sorry if im wrong!
Explanation:
Please help me find the answers!
Answer:
1. T₁ is approximately 100.33 N
T₂ is approximately -51.674 N
2. 230°F is 383.15 K
3. Part A
The total torque on the bolt is -4.2 N·m
Part B
Negative anticlockwise
Explanation:
1. The given horizontal force = 86 N
The direction of the given 86 N force = To the left (negative) and along the x-axis
(The magnitude and direction of the 86 N force = -86·i)
The state of the system of forces = In equilibrium
The angle of elevation of the direction of the force T₁ = 31° above the x-axis
The direction of the force T₂ = Downwards, along the y-axis (Perpendicular to the x-axis)
Given that the system is in equilibrium, we have;
At equilibrium, the sum of the horizontal forces = 0
Therefore;
T₁ × cos(31°) - 86 = 0
T₁ = 86/(cos(31°)) ≈ 100.33
T₁ ≈ 100.33 N
Similarly, at equilibrium, the sum of the vertical forces = 0
∴ T₁×sin(31°) + T₂ = 0
Which gives;
100.33 × sin(31°) + T₂ = 0
T₂ = -100.33 × sin(31°) ≈ -51.674
T₂ ≈-51.674 N
2. 230° F to Kelvin
To convert degrees Fahrenheit (°F) to K, we use;
\(Degrees \ in \ Kelvin, K = (x^{\circ} F + 459.67) \times \dfrac{5}{9}\)
Pluggining in the given temperature value gives;
\(Degrees \ in \ Kelvin, K = (230^{\circ} F + 459.67) \times \dfrac{5}{9} = 383.15\)
230°F = 383.15 K
3. Part A
Torque = Force × perpendicular distance from the line of action of the force
Therefore, the clockwise torque = 9 N × 0.4 m = 3.6 N·m (clocwise)
The anticlockeisre torque = 13 N × 0.6 m = 7.8 N·m (anticlockwise)
The total torque o the bolt = 3.6 N·m - 7.8 N·m = -4.2 N·m (clockwise) = 4.2 N·m anticlockwise
Part B
The torque is negative anticlockwise.
Which phase of cell division is shown?
Exploring meiosis.
A. metaphase
B. prophase
C. anaphase
D. telophase
Answer:
Anaphase
Explanation:
This is because the spindle fibres have shortened and is pulling the chromatids towards the poles of the cell. The chromatids have also separated.
The cell division which is shown in the picture is anaphase. The correct option is C.
What are the phases of meiosis?Meiosis is divided into two main phases, each with its own set of subphases:
1 Meiosis I:
a. Prophase I: This is the longest and most complex phase of meiosis. During this phase, homologous chromosomes pair up and form bivalents, and crossing over occurs between the homologous chromosomes. The nuclear envelope breaks down, and spindle fibers form from the centrioles at opposite poles of the cell.
b. Metaphase I: During this phase, the homologous chromosomes line up along the metaphase plate, with one chromosome from each homologous pair facing each pole of the cell.
c. Anaphase I: During this phase, the spindle fibers contract and pull the homologous chromosomes towards opposite poles of the cell.
d. Telophase I: During this phase, the chromosomes reach the poles of the cell and the nuclear envelope reforms around each set of chromosomes. The cell then undergoes cytokinesis, resulting in two daughter cells.
2. Meiosis II:
a. Prophase II: During this phase, the nuclear envelope breaks down, and spindle fibers form from the centrioles at opposite poles of the cell.
b. Metaphase II: During this phase, the chromosomes line up along the metaphase plate, with sister chromatids facing opposite poles of the cell.
c. Anaphase II: During this phase, the spindle fibers contract and pull the sister chromatids towards opposite poles of the cell.
d. Telophase II: During this phase, the chromosomes reach the poles of the cell and the nuclear envelope reforms around each set of chromosomes. The cell then undergoes cytokinesis, resulting in four haploid daughter cells.
Meiosis involves two rounds of chromosome segregation, resulting in four haploid daughter cells that are genetically distinct from the parent cell.
Therefore, The correct option is C i.e anaphase.
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\(what \: is \: amplitude \: {?} \)
Answer:
The amplitude is a measure of its change in a single period (such as time or spatial period)
what is amplitude?
Answer:A periodic variable's amplitude is a measure of its change across a single period, such as time or space. Amplitude is defined in a variety of ways, but they're all based on the size of the disparities between the variable's extreme values. The amplitude of a periodic function is sometimes referred to as the phase in older writings texts.
-------------------------hope it helps...have a great day!!Name and define the SI unit of magnetic field?
Answer:
The tesla is the SI unit for the magnetic field (T). One tesla is the magnetic field in which a charge of one coulomb travelling perpendicular to the magnetic field at a velocity of 1 m/s receives a force of one newton.
OAmalOHopeO
Calculate the total distance you traveled, if:
You left home at 10 a.m. and walked 500 m to a friend's house. At 11, you
all drove 5 km to the mall.
At 1:30, your friend drives you 4 km to your house. The total distance you
traveled, round trip, is
Answer:
9.5km
Explanation:
To solve this problem, we add the distances given together.
The distance is the sum of the length of path covered. It is a scalar quantity and has only magnitude but no directional attribute.
Distance walked to friend's house = 500m
Distance to mall = 5km
Since 1000m = 1km, 5km will be 5000m
Distance back to house = 4km
In m, this gives 4000m
So;
Total distance covered = 500m + 5000m + 4000m = 9500m
Since 1000m = 1km;
Then, 9500m will given 9.5km
set the star wheel locator to 8pm on april 24. use this date and time for questions 1-5. what constellation is closest to the zenith at this time? group of answer choices
Ursa Major is now the object that is closest to the zenith. Using this date and time as a reference, set the star wheel finder to 8 p.m. on April 24. The northern sky contains the constellation Ursa Major.
Its mythology is believed to have prehistoric roots. Its Latin name, which contrasts it with nearby Ursa Minor, the lesser bear, is "greater (or larger) bear." The zenith is a hypothetical point on the celestial sphere that is situated directly "above" a specific location. "Above" refers to a direction that is parallel to the ground and counter to the direction of gravity there (nadir). The celestial sphere's "highest" point is called the zenith.
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Orbitals that are of equal energy may be referred to as.
Answer:
degenerate
Explanation:
Calculate the frequency of a vibrating body if it vibrates 400 times in 20 seconds. Identify the category of sound it belongs to.(sonic sound/ ultrasound/ infra sound)
Answer:
F+20Hz
Explanation:
please help me. ill give you brainliest if you help me (please only answer if you have the right one)
Answer:410.022779
Explanation: To figure out force, you use the equation F=MA. Well, in this case, you're trying to find M. The mass. All you have to do is rearrange. F=MA turns into A=F/M.
In each part below, find the exact value of the probability if it is possible to do so with the information given. If it is not possible, provide the best lower and upper bounds you can. a) the chance that at least one of 10 flights at an airport is late, if each flight at the airport has a 1% chance of being late b) the chance that not all suits appear in a bridge hand of 13 cards dealt at random without replacement from a standard deck [A standard deck consists of 13 cards in each of 4 suits, making 52 cards in all.] c) the chance that all s office hours slots are selected, if each of g GSis selects one of the s slots at random without being influenced by the choices of others d) the chance that it rains every day next week if the daily chances of rain are given by Sun Mon Tue Wed Thu Fri Sat 0.9 0.95 0.95 0.9 0.9 0.85 0.8
a) The exact value of the probability that at least one of 10 flights at an airport is late, if each flight at the airport has a 1% chance of being late is 0.095.
b) The exact value of the probability that not all suits appear in a bridge hand of 13 cards dealt at random without replacement from a standard deck is 0.334507.
c) The exact value of the probability that all s office hours slots are selected, if each of g GSis selects one of the s slots at random without being influenced by the choices of others is 1/(sg).
d) The exact value of the probability that it rains every day next week, if the daily chances of rain are given by Sun Mon Tue Wed Thu Fri Sat 0.9 0.95 0.95 0.9 0.9 0.85 0.8, is 0.255104.
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A closed system consists of a pendulum that is swinging back and forth. If the kinetic energy of the pendulum INCREASES, what else must happen to the energy of the system?
A. Its gravitational potential energy must decrease.
B. Its total mechanical energy must decrease.
C. Its gravitational potential energy must increase.
D. Its total mechanical energy must increase..
Answer:
Both C and D are true.
Energy goes from total kinetic to total gravitational
If Kinetic energy increases then the gravitational energy at its maximum displacement will also increase.
E (total) = PE + KE at any point of the motion
Answer: it’s A
Explanation: I just took the test
Which has more momentum: a large parked car or a slow moving feather?
Answer: Slow moving feather
The parked car has 0 velocity since it is stationary. The momentum of the car is 0 because momentum = mass*velocity.
On the other hand, the feather is moving, so its velocity is some positive value. Even if it's a small velocity value and the mass of the feather is small, the two will multiply to some positive momentum which is larger than 0.
So the feather has larger momentum compared to the parked car.
Question 8 (Electrical power and reticulation) Explain why voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer. [3] TOTAL MARKS = 70
The voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer in order to reduce power loss and make the overhead power lines lighter, less expensive to build.
Here is the explanation why voltage is stepped up before being transmitted from a power station through overhead power lines to the consumer:
Power loss is inversely proportional to the square of the current. This means that if we can reduce the current, we can also reduce the power loss.
The current is inversely proportional to the voltage. This means that if we increase the voltage, we can reduce the current.
Therefore, by increasing the voltage, we can reduce the power loss.
In addition, the higher the voltage, the smaller the cross-sectional area of the conductors needed to transmit the same amount of power. This makes the overhead power lines lighter and less expensive to build.
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8.88 kJ of energy raises the temperature of a 1 kg block of copper by 10°C.
Calculate the specific heat capacity of copper.
The specific heat capacity of copper is 0.888 kJ/(kg × °C).
Specific heat capacity is a thermal property of a substance. It indicates how much heat energy is needed to raise the temperature of a unit mass of a substance by one degree Celsius.
The formula for calculating the specific heat capacity of a substance is given as, q = m × c × ∆T`
Where: q = energy,
m = mass of the substance,
c = specific heat capacity of the substance,
∆T = change in temperature.
Now, let’s use the formula above to calculate the specific heat capacity of copper.
The energy required to raise the temperature of a 1 kg block of copper by 10°C is 8.88 kJ.
q = m × c × ∆T
c = q / (m × ∆T)
= 8.88 kJ / (1 kg × 10°C)
= 0.888 kJ/(kg × °C)
The specific heat capacity of copper is 0.888 kJ/(kg × °C).
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What is the internal energy in substances called?
The internal energy in substances is called intrinsic energy. It is the sum total of all energy possessed by constituting particles of a substance. This is represented by the symbol U.
Particles in a substance are in continuous motion. Kinetic energy is associated with them due to this motion of particles. Internal energy is directly linked with temperature. With the rise in temperature, kinetic energy due to motion of particles increases and hence total internal energy increases.
Internal energy is kinetic energy in particles, electrical energy of atoms, and energy stored in bonds.
It is given by the formula
ΔU = q + W
Here,
U = the change in internal energy.
q i= the heat
W = the mechanical work.
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Comets that come from the oort cloud have orbits that:
A. decay over time, bringing them closer to the sun each year.
B. have random tilts and orbits, sharing little with each other.
C. have very short orbits for their size and distance from the sun.
D. are evenly distributed between retrograde and prograde.
Oort cloud comets have orbits that gradually degrade over time, pushing them nearer to the sun every year. A is the right answer.
What makes a comet a comet?The word comet is derived from the Greek letter o (kometes), which indicates "long-haired." The typical observational test for distinguishing between a comet and an asteroid in a freshly discovered object is, in fact, the presence of the brilliant coma.
What is a comet, exactly?Comets are solar system-orbiting icy balls of rock, gas, and dust. They resemble a small town in size when frozen. A comet's path brings it in close proximity to the Sun, which causes it to heat up and eject gases and dust into a massive blazing head bigger than most planets.
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