The initial kinetic energy of the bullet is 612.5 Joules (J).
How to solve for the initial kinetic energy of the bulletThe initial kinetic energy of the bullet can be calculated using the formula:
Kinetic energy (KE) = 1/2 * mass * velocity^2
Given:
Mass of the bullet (m) = 10.0 g = 0.010 kg
Velocity of the bullet (v) = 350 m/s
Substituting the values into the formula:
KE = 1/2 * 0.010 kg * (350 m/s)^2
Calculating the value:
KE = 1/2 * 0.010 kg * (122,500 m^2/s^2)
KE = 612.5 J
Therefore, the initial kinetic energy of the bullet is 612.5 Joules (J).
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Explain why ethylated spirit at room temperature when dropped at the back of the Palm makes the Palm to feel very cold.
Answer:
methylated spirit is in fact methanol added to ethanol (usually 10% methanol is used). The liquid evaporates which means that the liquid converts to a gaseous state. This process requires energy which it extracts from your body in the form of heat.
Explanation:
kepler's first law states that a planet moves around the sun in a(n) group of answer choices circle, with the sun at the center. elliptical orbit, with the sun at one focus. elliptical orbit, with the sun on the minor axis of the ellipse. elliptical orbit, with the sun at the center of the ellipse.
Kepler's first law states that a planet moves around the sun in an elliptical orbit, with the sun at one focus.
What are planets?Planets are large bodies in space which orbit round a star such as the Sun.
The Sun and the planets that orbit around it form the solar system.
The movement of the planets around the Sun is described as planetary motion.
Planetary motion is descried in Kepler's laws of Planetary motion.
The Kepler's laws of Planetary motion are given as follows:
every planet's orbit is an ellipse with the Sun at one focus.a line joining the Sun and a planet sweeps out equal areas in equal timesThe square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its orbit.In conclusion, planets orbit around a star.
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what is the investigative question when comes to internal resistance
When there is current flowing through the apparatus or electrical circuit and the source voltage or source battery experiences a voltage drop, internal resistance is present.
The voltage across the ideal voltage source is equal to the voltage at the terminals when there is no current flowing to an external resistance. However, there will be a voltage drop across the internal resistance when current leaves the cell, which will reduce the voltage at the cell's terminals.
The electromotive force within a cell is always greater than the potential difference between neighboring cells. Thus, variables like the distance between the electrodes, their effective area, temperature, and solution concentration affect a cell's internal resistance.
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A spring with spring constant 58N/cm is stretched 4cm. How much force is it applying
Answer:
232 N
Explanation:
By Hooke's law, the force applied to a spring is proportional to the stretch of the spring, so
F = kx
Where F is the force, k is the spring constant and x is how much it is stretched.
So, replacing k by 58N/cm and x by 4 cm, we get
F = (58 N/cm)(4 cm)
F = 232 N
Therefore, the force applied is 232 N
g two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of group of answer choices kinetic energy momentum both kinetic and momentum none of the above
This collision violates conservation of both energy and momentum i.e, third option is correct.
According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.
According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.
Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)
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.A baseball is thrown at a 22.5° angle and an initial velocity of 40 m/s. Assume no air resistance What is the vertical component of the ball's velocity? What is the horizontal component of the ball's velocity?
a.24.9 m/5, 60.1 m/s
b. 601 m/s, 24.9 m/s
c.O m/s, 65 m/s
d. 17183.25 m
The vertical component of the ball's velocity is 24.9 m/s, and the horizontal component is 60.1 m/s.
To determine the vertical and horizontal components of the ball's velocity, we can use trigonometry. The initial velocity of the ball can be broken down into its vertical and horizontal components.
The vertical component of velocity can be found using the formula: V_vertical = V_initial * sin(theta), where V_initial is the initial velocity and theta is the angle of projection.
In this case, V_initial is 40 m/s and the angle is 22.5°. Plugging in these values, we get: V_vertical = 40 m/s * sin(22.5°) ≈ 24.9 m/s.The horizontal component of velocity can be found using the formula: V_horizontal = V_initial * cos(theta), where V_initial is the initial velocity and theta is the angle of projection.
Plugging in the values, we get: V_horizontal = 40 m/s * cos(22.5°) ≈ 60.1 m/s. Therefore, the vertical component of the ball's velocity is approximately 24.9 m/s, and the horizontal component is approximately 60.1 m/s. Option (a) - 24.9 m/s, 60.1 m/s - represents the correct answer.
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An object of mass 3 kg is initially at a temperature of 400K. If the specific heat of this object is 478 J/kg * K, and 13 kJ of heat are added to the object, what is its final temperature?
Given,
The mass of an object is m = 3 kg
Initial temperature, T1 = 400 K
The specific heat of this object is c = 478 J/kg.K
The heat is Q = 13 kJ
Let T2 be the final temperature.
The formula is used to calculate the final temperature.
\(\begin{gathered} Q=mc\Delta T \\ 13\text{ kJ=3 }kg\text{ }\times478\text{ J/}kg\cdot K\text{ }\times(T_2-400\text{)} \\ (T_2-400)=\frac{13\times10^3}{3\times478}_{} \\ T_2-400=9.065 \end{gathered}\)Thus, the value of the final temperature is
\(\begin{gathered} T_2=400+9.065 \\ T_2=409.065\text{ K} \end{gathered}\)Therefore, the given answer (a) is correct.
a car is traveling 21 m/s when the driver sees a child standing in the road. he takes 0.8s to react then steps on the breaks and slows at 7.5m/s^2. how far does the car go before it stops?
The distance traveled by the car before it stops when moving with a velocity of 21 m/s is 19.2 m.
What is distance?Distance is the total length between two points.
To calculate the distance the car move before stopping, we use the formula below.
Formula:
S = ut+at²/2......... Equation 1Where:
S = Distanceu = Initial velocityt = Timea = accelerationFrom the question,
Given:
u = 21 m/st = 0.8 sa = 7.5 m/sSubstitute these values into equation 1
S = (21×0.8)+(7.5×0.8²/2)S = 16.8+2.4S = 19.2 mHence, the distance traveled by the car before it stops is 19.2 m.
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What force does the gravitational attraction of earth exert on a 12.8kg object, such as a toolbox loaded with tools
Answer:
16
Explanation:
5 grams is thes than greater than or equal too 508mg
Answer:
yes 5 is greater
Explanation:
Answer: 5 grams is greater than 508 milligrams. Even though the number '508' is larger than '5,' you need to look at the units.
An organ pipe closed at one end and open at the other has a length of 1.8 m.
Given,
The length of the pipe, L=1.8 m
Speed of the sound, v=340 m/s
To form the standing wave with the longest wavelength, the number of nodes of the thus formed standing wave should be equal to 1.
The wavelength of the standing wave created in a closed-end pipe is given by,
\(\lambda=\frac{4}{1}L\)On substituting the known values,
\(\begin{gathered} \lambda=\frac{4}{1}\times1.8 \\ =7.2\text{ m} \end{gathered}\)Thus the longest possible wavelength is 7.2 m
The frequency of this standing wave is given by,
\(f=\frac{v}{\lambda}\)On substituting the known values,
\(\begin{gathered} f=\frac{340}{7.2} \\ =47.22\text{ Hz} \end{gathered}\)Thus the frequency of this standing wave is 47.22 Hz.
An axially loaded short column has length of 3.5m carries factored load of 1600KN. Concrete fc'=28MPA and Fy=420 MPA. Maximum aggregate size is 19mm. Calculate the suitable dimensions for tied and spiral columns.qr 1. Calculate • Required loads • Stresses • Gross area • Area of steel • Design satisfies risk assessment against use Appropriate reinforcement SELECTION • All relevant checks to make design safe
The suitable dimensions for tied and spiral columns of Required loads, Stresses, Gross area, Area of steel are 1142.86 kN, 12.6 MPa, 90.89 m².
The required loads can be determined by dividing the factored load by the appropriate load factor. For this example, let's assume a load factor of 1.4. Required loads = Factored load / Load factor
= 1600 kN / 1.4
= 1142.86 kN
Determine the allowable stresses: a concrete compressive strength of fc' = 28 MPa, the allowable compressive stress (fa) can be calculated using the formula:
= 0.45 * 28 MPa
= 12.6 MPa
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if a parallel circuit has three loads of equal resistance and a voltage of 120 v is applied to the circuit, what will the voltage drop be across each load?
Since load are connected in parallel so the voltage drop across each load will be 120 v.
Voltage and current are dependent on each other. In case of parallel connection, current gets divided in the circuit.
If all 3 loads are of equal resistance then R1=R2=R3=R.
so the equivalent resistance in parallel is = R/3
now the current supplied by the source is I = V/Req
I = 120/(R/3)
I = 360/R
Now since the load is equal so current also gets distributed equal.
So, the voltage drop across resistor would be Vr = (I/3)*R
putting the values of I, we get
Vr = 360R/3R
Vr = 120
Hence the voltage across the resistors is 120 V
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Trace fossils would include all of the following EXCEPT
Question 4 options:
bones
fossilized nests
footprints
fossilized eggs
Answer:
Im pretty sure its fossilized nests because nests arent tracings. hope this helps
Explanation:
The elements in which section of the periodic table are the most stable and rarely react with other elements?
А metals
B metalloids
С noble gases
D nonmetals
-2 4/5 = -3 1/2n help pls
Answer:
4/5=n
Explanation:
hah I have the same homework :0
PLEASE HELP I NEED THIS FAST
Describe how electric potential energy, kinetic energy, and work change when two charges of opposite sign are placed near each other.
Answer:
If the charges have the same sign, so that qsqt>0, then the potential energy decreases as the charges separate; if the charges have opposite sign, the potential energy increases from negative infinity.
Explanation:
I hope this answered your question!
Compare and contrast scientific inquiry "skill and process".
Answer:
The inquiry process takes advantage of the natural human desire to make sense of the world... This attitude of curiosity permeates the inquiry process and is the fuel that allows it to continue. Process skills are not used for their own sake.
A motorbike travels 45 miles in 15 minutes, what is its speed (hint change the minutes to hours!!)
Answer:
180 miles/hr
Explanation:
15 min=1/4 hr
s= distance/time
s=45miles/1/4 hr
s=45miles x 4/1=180 miles/hr
determine the discharge (q) of a river that is 10 m wide, has a semicircular cross-sectional area (a), and has a velocity (v) of 3 m/s. choose one: A. 235 m3/s
B. 942 m3/s
C. 117 m3/s
D. 471 m3/s
To determine the discharge (q) of a river with a semicircular cross-sectional area and a velocity of 3 m/s, we can use the equation for discharge, which is given by Q = A * v, where Q is the discharge, A is the cross-sectional area, and v is the velocity of the river flow. By calculating the product of the area and velocity, we can find the value of the discharge.
The cross-sectional area (A) of a semicircular shape can be calculated as A = (π * r^2) / 2, where r is the radius of the semicircle. In this case, the width of the river is given as 10 m, so the radius (r) would be half of that, which is 5 m.
Substituting the values into the equation, we have A = (π * (5^2)) / 2 = 39.27 m^2. The velocity (v) of the river is given as 3 m/s. Now, we can calculate the discharge (Q) using the formula Q = A * v. Substituting the values, we have Q = 39.27 m^2 * 3 m/s = 117.81 m^3/s. Rounding the answer to the nearest whole number, we find that the discharge of the river is approximately 117 m^3/s. Therefore, the correct answer is C. 117 m^3/s.
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Why is it more difficult to push a sofa across a room with carpet than a room with a wood floor?.
Answer:
because the carpet creates more friction when sliding across which makes it slower while the slickness of the wood makes less friction
The 60-mm-diameter shaft is made of 6061-T6 aluminum. if the allowable shear stress is τallow = 80 mpa , and the angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad , determine the maximum allowable torque t .
The maximum allowable torque for a 60-mm-diameter shaft made of 6061-T6 aluminum, given that the allowable shear stress is τallow = 80 MPa and the angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad is 218.1 Nm.
Explanation:
Given parameters: Diameter of shaft = 60 mm, Shear stress allowable = τallow = 80 MPa, Angle of twist of disk a relative to disk c is limited so that it does not exceed 0.050 rad.
The formula used: The equation for torque is given as, T = (π/16) * τallow * d³ * (θ/L) Where, T = maximum allowable torqueτallow = allowable shear stress = diameter of the shaftθ = angle of twist, L = length of the shaft. According to the problem, the diameter of the shaft is 60 mm. So, the radius will be 30 mm or 0.03 m.
The angle of twist is limited to 0.050 rad. Let's consider the length of the shaft to be 1 m. So, using the formula we get the maximum allowable torque, T = (π/16) * τallow * d³ * (θ/L)T = (π/16) * 80 * (0.06)³ * 0.050/1T = 218.1 NmTherefore, the maximum allowable torque is 218.1 Nm.
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Which of the following describes a way that neighborhoods help children build new relationships?
OA neighborhood holds a winter festival with activities for children and families.
O Families of the neighborhood walk around the block on differing weeknights.
O Lawn crews ensure that the neighborhood is properly maintained each week.
O Members of the community form a Neighborhood Watch team.
The neighborhood can help children build new relationships by holding a winter festival with activities for children and families.
In today's world, where everyone is quite busy in their own world, children have academic pressure and many more.
They tend to detach themselves from people, and hence many relationships ruin.
Building relationship helps the children grow and makes them more sociable. It boots their intelligence and makes them aware of the importance of having a relationship and building bonds with people.
The neighborhood holds a winter festival with activities for children and families is a great way to build new relationships.
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What causes the attraction between protons and neutrons?
Answer:
The nuclear force
Explanation:
hope this helps
Acceleration is a change in what quantity Over time?A- speed B- distance C- force D- displacement
To find
Acceleration is a change in what quantity Over time?
Explanation
Acceleration is defined as the change in velocity with respect to time interval.
Conclusion
The required quantity is
A. speed
draw a figure of a simple pendulum explain its amplitude and effective length ?
Answer:
Explanation:
A simple pendulum consists of a mass (usually represented as a small object or bob) attached to a string or rod of negligible mass. The mass is free to swing back and forth under the influence of gravity.
In the figure, the point of suspension is denoted by "O," and the mass (bob) is represented by the small circle. The string or rod is represented by the vertical line connecting the point of suspension to the bob.
Amplitude:
The amplitude of a pendulum refers to the maximum displacement or swing of the bob from its equilibrium position. In the figure, the amplitude can be represented by the angle formed between the vertical position and the position of the bob when it swings to its maximum distance on one side. It is usually denoted by the symbol "A."
Effective Length:
The effective length of a pendulum refers to the distance from the point of suspension to the center of mass of the bob. It represents the distance over which the mass swings back and forth. In the figure, the effective length can be measured as the length of the string or rod from the point of suspension to the center of the bob. It is usually denoted by the symbol "L."
It is important to note that the amplitude and effective length of a simple pendulum affect its period of oscillation (the time taken for one complete swing). The relationship between these parameters and the period can be described by mathematical formulas.
Overall, the simple pendulum is a fundamental concept in physics and provides a simplified model for understanding oscillatory motion and the principles of periodic motion.
A student swings a 0. 5kg rubber ball attached to a string over her head in a horizontal, circular path. The string is 1. 5
meters long and in 60 seconds the ball makes 120 complete circles.
What is the velocity of the ball?
What is the ball’s centripetal acceleration?
What is the ball’s centripetal force?
The velocity of the ball = 18.84 rad/sec
The centripetal acceleration of the ball = 236.63 m/s²
The centripetal force of the ball = 118.32 N
The mass of the ball = 0.5 kg
The length of the string = 1.5
The time taken = 60 s
The number of rotations = 120
The velocity of the ball can be found using the formula,
ω = θ / t
where ω is the angular velocity
θ is the angular rotation
t is the time taken
Let us substitute the known values in the above equation, we get
ω = (120 x 2 x 3.14 x 1.5 ) / 60
= 1,130.4 / 60
= 18.84 radians/sec
The formula for centripetal acceleration is
α = ω² / r
= 18.84² / 1.5
= 345.95 / 1.5
= 236.63 m / s²
The centripetal force is
F = mω² / r
= 0.5 x 236.63
= 118.32 N
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Which source of evidence did Wegener use to support his theory of continental drift?
fossils found on Earth
magnetic fields of Earth
satellite mapping of the tropical islands
glaciers found near the poles
Answer:
fossils found on Earth
Explanation:
i just did the test 100%
Answer:
Fossils on Earth
Explanation:
Fossils can show that the continents were all together by putting them together on a map you can see the fit. and when you look where fossils were, they would be right next to each other.
In which of these scenarios is useful mechanical work being done? 1. Dave is climbing a ladder. 3. Dave washes his car.
2. Dave's stomach begins to digest his lunch.
The answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).
Useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car). Let's examine each scenario:
Dave is climbing a ladder: In this scenario, Dave is exerting a force against gravity to move his body upwards. This involves the application of force over a distance, which is the definition of mechanical work. Therefore, useful mechanical work is being done as Dave climbs the ladder.
Dave's stomach begins to digest his lunch: Digestion is a biological process that occurs within the body and is not considered mechanical work. It involves chemical and enzymatic reactions in the stomach to break down food, but it does not involve the application of force over a distance. Thus, no useful mechanical work is being done in this scenario.
Dave washes his car: When Dave washes his car, he applies force to the cleaning materials and moves them across the car's surface, exerting work against friction. This work results in the cleaning of the car and is considered useful mechanical work.
Therefore, the answer is that useful mechanical work is being done in both scenario 1 (Dave climbing a ladder) and scenario 3 (Dave washing his car).
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A sphere of radius R has charge Q. The electric field strength at distance r>R is Ei. Each Part in this question changes only one quantity; the other quantities have their initial values.
A) What is the ratio Ef/Ei of the final to initial electric field strengths if Q is halved?
B) What is the ratio Ef/Ei of the final to initial electric field strengths if R is halved?
C) What is the ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R)?
The ratio Ef/Ei of the final to initial electric field strengths, if Q is halved, is 1/2. B) The ratio Ef/Ei of the final to initial electric field strengths, if R is halved, is 4. C) The ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R) is 2. The correct option is A).
Given that Sphere of radius R has charge Q. The electric field strength at a distance r > R is Ei. Therefore, the electric field intensity at a distance from the center of a charged sphere of radius R is:
Ei = kQ/R² ... (1)
Now,
A) When Q is halved, the electric field intensity
\(Ef isEf = kQ/2R² ... (2)\)
Therefore, the ratio of the electric field intensity at r > R after Q is halved and before halving is:
\(++Ef/Ei = (kQ/2R²)/(kQ/R²) = 1/2B)\)
When R is halved, the electric field intensity
\(Ef isEf = kQ/(R/2)² = 4kQ/R² ... (3)\)
Therefore, the ratio of the electric field intensity at r > R after R is halved and before halving is:
\(Ef/Ei = (4kQ/R²)/kQ/R² = 4C)\)
When r is halved (but still >R), the electric field intensity Ef is
\(r = R/2...\)
Therefore, the ratio of the electric field intensity at r > R after r is halved and before halving is:
\(Ef/Ei = kQ/(R/2)² / kQ/R² = 2.\)
Hence, the required ratios are A) 1/2 B) 4 C) 2. Therefore, the correct option is A).
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