Answer:
The Photosphere
Explanation:
It's photosphere is the sun's area that lights . This layer is responsible for nearly all of the Sun's light.
Answer:
The photosphere
Explanation:
The light we see from the sun comes from the photosphere.
Capacitors are sometimes used in DC circuits to
Capacitors are sometimes used in DC circuits to store electric charge. It's important to note that the specific use of capacitors in DC circuits depends on the circuit requirements and the desired functionality.
A capacitor is an electrical component that stores electric charge, much like a small rechargeable battery. Capacitors can be charged and discharged repeatedly, with each charge and discharge cycle resulting in a change in the voltage across the capacitor. Capacitors are made up of two metal plates that are separated by a dielectric material such as air, paper, or plastic. Capacitors are frequently utilized in direct current (DC) circuits to store electric charge, it can be employed to smooth out voltage fluctuations and other irregularities in a DC power source, for example.
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Pls help it’s really late <3
Answer:
22.4%
Explanation:
The plane is 300000 kg
It is 11000 meters about the earth's surface.
g = 9.81
PE = mgh
PE = 300000 * 9.81 * 11000
PE = 3.24* 10^10
The Kinetic Energy
KE = 1/2 m * v^2
m = 300000
v = 250 m/s
KE = 1/2 300000 * (250 m/s)^2
KE = 9.375 * 10^9
Total Energy = 3.24 * 10^10 + 9.375 * 10^9
Total Energy = 4.17 * 10^10
9.375 * 10^9
=========== * 100 % = 22.44 %
4.17 * 10^10
Question 4. [2 Marks] Water is flowing in a pipe that changes diameter from 40 to 20 mm with constant volumetric flowrate. If inlet velocity is 50 m/s, determine the outlet velocity and the mass flow rate. (Note that the density of water is 1000 kg/m?)
The outlet velocity is found to be approximately 200 m/s, while the mass flow rate is approximately 1.26 kg/s.
To calculate the outlet velocity, we can use the principle of conservation of mass. According to this principle, the mass entering the pipe per unit time is equal to the mass exiting the pipe per unit time. Since the volumetric flow rate is constant, the product of velocity and cross-sectional area remains constant along the pipe. Using this principle, we can find the outlet velocity.
Given that the inlet velocity is 50 m/s and the inlet diameter is 40 mm (0.04 m), we can calculate the inlet cross-sectional area using the formula for the area of a circle: A = πr², where r is the radius. The inlet cross-sectional area is approximately 0.00126 m².
Similarly, using the outlet diameter of 20 mm (0.02 m), we can calculate the outlet cross-sectional area, which is approximately 0.000314 m².
Applying the conservation of mass principle, we can set up the equation:
Inlet velocity * Inlet cross-sectional area = Outlet velocity * Outlet cross-sectional area
Plugging in the known values, we get:
50 m/s * 0.00126 m² = Outlet velocity * 0.000314 m²
Solving for the outlet velocity, we find it to be approximately 200 m/s.
To calculate the mass flow rate, we multiply the density of water (considering the standard value of 1000 kg/m³) by the volumetric flow rate. Since the volumetric flow rate is constant, multiplying it by the density gives us the mass flow rate.
Therefore, the mass flow rate is approximately:
Mass flow rate = Volumetric flow rate * Density of water
Mass flow rate = Constant * 1000 kg/m³
Mass flow rate = 0.00126 m³/s * 1000 kg/m³
Mass flow rate ≈ 1.26 kg/s
Thus, the outlet velocity is approximately 200 m/s, and the mass flow rate is approximately 1.26 kg/s.
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Using the correct IUPAC nomenclature, what is the correct name, formula,
and classification of a compound that contains two nitrogen atoms and one
oxygen atom?
O A. Mononitrogen dioxide, N20, covalent compound.
B. Nitrogen dioxide, NO2, ionic compound.
O C. Dinitrogen monoxide, N20, covalent compound.
D. Nitrogen oxide, No, ionic compound.
Answer: C is right
Explanation:
N and O are no-metals and forms covalent bonds.
Usually they need a. Prefix whic tells number of atoms in compound
Which is not a measurement of effort for exercises or activity?
repetitions
time
distance
elevation
Difference between interpolation and extrapolation.
Answer:
Interpolation gives more accurate data or points compared to extrapolation.
Interpolation can be a little easier than extrapolation.
Interpolation does not require one to extend the already existing data points, where extrapolation requires elaboration of the pattern, curve, or line.
Extrapolation:
This is a statistical method used to predict unknown values for points outside the range of the recorded data. It is used to extend a known sequence of values beyond the sampled area
Extrapolation: with Extrapolation, we can be less confident with the unknown values derived using this method. The method includes values from outside the sampled area, which makes the predictions diverge away from the true values. In curve fitting, this method is not preferred.
Extrapolation:
the ability to retrieve negative answers is one characteristic that makes it unique for interpolation. This statistical method allows one to extend the values in the range either forward or backward. This technique of extending values is responsible for attaining the negative values.
Explanation:
A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes a
smooth, flat slab of crown glass at an angle of 30.0° to the normal.Find the angle of refraction, θr .
The angle of refraction for the light ray with the wavelength of 589nm traveling through air strikes a crown glass at 30.0° incidence is 19.2°.
What is refraction?Refraction is the quantity used to measure the amount of refraction taking place at any boundary when light passes between the two mediums.
Refractive index can be calculated using Snell's law, the formula for calculating angle of refraction is as follows:
n₁/n₂ = sinФ₁/sinФ₂
n₁. sin(i) = n₂. sin(r)
where, n₁ = refractive index of medium 1
n₂ = refractive index of medium 2
i = angle of incidence in air
r = angle of refraction in glass
Therefore, by putting the values in this formula we can get the angle of refraction.
(1) × sin(30°)=(1.52) × sin(r)
sin(r)= 1/2 × 1.52
sin(r) = 1/ 3.04
r = sin⁻¹(0.328)
r = 19.2°
Therefore, Angle of refraction = 19.2°
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Your question is incomplete, most probably the complete question is:
A light ray of wavelength 589 nm (produced by a sodium lamp) traveling through air strikes a smooth, flat slab of crown glass at an angle of 30.0 to the normal. If the index of refraction of the crown glass is 1.52 and the index of refraction of air is 1. Find the angle of refraction.
why efficiency of energy converters is less than 100%
The output work is always less than the input work because some of the input work is used to overcome friction.
3. Since Aspeon is not expected togrow, Emily believes that the following equations can be used in the valuation analysis: (1) S=[EBIT−kd(D)](1−ks)
(2) V=S+D
(3) P=(V−D0)/n0
(4) n1=n0−D/P
(5) VL=VU+TD
The equations mentioned by Emily in the valuation analysis for Aspeon are as follows:
1) Equation (1): This equation represents the value of equity (S) and calculates it based on the EBIT (earnings before interest and taxes), the tax shield provided by debt (D), and the required return on debt (kd) and equity (ks). It implies that the value of equity is equal to the adjusted EBIT after deducting the tax shield from debt.
2) Equation (2): This equation calculates the total enterprise value (V) by adding the value of equity (S) and debt (D). It represents the total worth of the company, considering both equity and debt.
3) Equation (3): This equation calculates the price per share (P) by dividing the total enterprise value (V) minus the initial debt (D0) by the number of shares (n0). It represents the price per share based on the valuation of the company.
4) Equation (4): This equation calculates the new number of shares (n1) by subtracting the dividend (D) from the initial number of shares (n0) divided by the price per share (P). It represents the adjusted number of shares after the payment of dividends.
5) Equation (5): This equation calculates the levered value (VL) by adding the unlevered value (VU) with the tax shield value (TD). It represents the value of the company after considering the tax advantages of debt.
These equations provide a framework for valuation analysis, considering factors such as earnings, taxes, debt, and equity. They help assess the value and financial implications of Aspeon's growth prospects.
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A car moves a distance of 50. 0 km West, followed by a distance of 72 km North. What is the total distance traveled, in units of kilometers?
The total distance traveled by the car is approximately 87.68 kilometers.
To find the total distance traveled, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the car travels 50.0 km west and 72 km north. These distances form the legs of a right triangle, and the total distance traveled is the hypotenuse.
Using the Pythagorean theorem:
Total distance² = (Distance traveled west)² + (Distance traveled north)²
Total distance² = (50.0 km)² + (72 km)²
Total distance² = 2500 km² + 5184 km²
Total distance² = 7684 km²
Taking the square root of both sides to find the total distance:
Total distance = √7684 km²
Total distance ≈ 87.68 km
Therefore, the total distance traveled by the car is approximately 87.68 kilometers.
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when the front wheels are turned on a vehicle equipped with front struts, the left front coil spring provides a chattering action and noise: technician a says that the strut has internal defects and strut replacement is necessary. technician b says that the upper strut bearing and mount are defective. who is correct?
Both technicians could be correct, as there are multiple components within the front strut assembly that could cause the described symptoms. A more detailed inspection of the front strut assembly would be necessary to determine the root cause of the issue.
Technician A is correct in suggesting that internal defects within the strut could cause chattering and noise when the front wheels are turned. This could be caused by worn or damaged internal components, such as the strut piston or valve.
Technician B is also correct in suggesting that a defective upper strut bearing and mount could cause similar symptoms. The upper strut bearing and mount are responsible for allowing the strut to rotate smoothly as the wheels turn, and if they are worn or damaged, they can cause noise and vibration.
In order to determine the root cause of the issue, a more detailed inspection of the front strut assembly would be necessary. This could involve disassembling the strut and inspecting each component for wear or damage. Depending on the specific cause of the issue, either replacing the strut or replacing the upper strut bearing and mount may be necessary.
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PLZZZ HELLPP MEE
Which of the choices below shows a model of the atom Neon (Ne)?
B.
D.
Ne
Ne Ne
OB
ОС
OD
Answer:
A is answer
Explanation:
this is helpful
Cooper communicates with brand using radio waves of wavelength 300 m. what is the frequency of this wave?
The frequency of electromagnetic waves is 10⁶ Hz or 1 MHz.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
λ = 300 m
By substituting the given parameter, we can calculate the frequency of radiowaves
c = λ . f
f = c / λ
f = 3 x 10⁸ / 300
f = 10⁶ Hz
f = 1 MHz
Hence, the frequency of radiowaves is 10⁶ Hz or 1 MHz.
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I
dont know how they got to the answer.
Which hydrogen transition represents the ABSORPTION of a photon in the UV portion of the electromagnetic spectrum? A. n= 4 to n=1 B. n= = 2 to n=3 C. n=3 to n= 5 D. n=3 to n=2 E. n=1 to n = 4 Which
The hydrogen transition that represents the absorption of a photon in the UV portion of the electromagnetic spectrum is Option E: n=1 to n=4.
In the hydrogen atom, the energy levels of the electrons are quantized, and transitions between these energy levels result in the emission or absorption of photons. The energy of a photon is directly related to the difference in energy between the initial and final states of the electron.
In this case, the transition from n=1 to n=4 represents the absorption of a photon in the UV portion of the electromagnetic spectrum. When an electron in the hydrogen atom absorbs a photon, it gains energy and jumps from the ground state (n=1) to the higher energy state (n=4). This transition corresponds to the absorption of UV light.
The energy of the photon absorbed is equal to the difference in energy between the n=4 and n=1 levels. The energy difference increases as the electron transitions to higher energy levels, which corresponds to shorter wavelengths in the UV portion of the electromagnetic spectrum.
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Which air mass would form over warm water?(1 point)
maritime tropical
continental tropical
continental polar
maritime polar
Answer:
A.) Maritime Tropical (mT)
Explanation:
Continental tropical is the air mass that forms over warm land.
Maritime Polar is the air mass that forms over cold water.
Continental polar is the air mass that forms over cold land.
So therefore A or Maritime Tropical is the correct answer
Determine the following:
i. I1
ii. current through the 8 ohms resistor
iii. current through the 36 ohms resistor
iv. voltage across the j18 ohms
In the given electrical circuit diagram, the three resistors are connected in parallel. The voltage V is applied across the resistors, and the current I splits into three parts. The current that flows through each resistor is proportional to the inverse of its resistance.
The mathematical formula for finding the current through a resistor in a parallel circuit is given by;I = V/Ri) The current flowing through the 8-ohm resistor is given by the formula: Ir1 = V/R1 = 100/8 = 12.5Aii) The current flowing through the 36-ohm resistor is given by the formula: Ir2 = V/R2 = 100/36 = 2.77Aiii) The current flowing through the J18 ohm resistor is given by the formula; Ir3 = V/R3 = 100/(J18) = 5.56A. Note that (J18) is the inverse of the resistance of the J18 ohm resistor.iv) To find the voltage across the J18 resistor,
we first need to calculate the total current flowing through the parallel circuit. We can do this by adding the currents that flow through each resistor. Total current, I = Ir1 + Ir2 + Ir3 = 12.5A + 2.77A + 5.56A = 20.83AThe voltage drop across the J18 ohm resistor is given by the formula: V3 = I x R3 = 20.83A x J18 = J375.34 VTherefore, the voltage across the J18 ohm resistor is J375.34 V.I hope this helps.
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How long will it take for a basketball spinning on someone’s finger to stop if it undergoes and angular acceleration of -0.15 rad/s and is traveling at 27 rad/s initially? How many revolutions will it make?
The basketball's angular velocity ω at time t is
ω = 27 rad/s + (-0.15 rad/s²) t
It comes to a stop when ω = 0, which happens for
0 = 27 rad/s - (0.15 rad/s²) t
t = (27 rad/s) / (0.15 rad/s²)
t = 180 s
In this time, the ball would undergoes an angular displacement θ of
θ = (27 rad/s) t + 1/2 (-0.15 rad/s²) t ²
Plug in t = 180 s and solve for θ :
θ = (27 rad/s) (180 s) - 1/2 (0.15 rad/s²) (180 s)² = 2430 rad
One complete revolution corresponds to a turn of 2π rad, so the ball makes
(2430 rad) / (2π rad/rev) ≈ 386.747 rev
or about 387 revolutions as it slows down.
Weight is the amount of matter in an object true or false
Answer:
False.
Explanation:
Mass is the amount of matter in a given object. Weight is the force acting on an object due to gravity.
Answer:
False
Explanation:
Weight is the act of pulling an object towards the earth surface so weight is a force to amount
A mass weighing 2 lb stretches a spring 6 in. If the mass is pulled down an additional 3 in. and then released, and if there is no damping, determine the position u of the mass at any time t. Draw the graph of u(t), and the frequency, period and amplitute of the motion.
To determine the position u of the mass at any time t, we can use the equation of motion for a mass-spring system without damping:n m * u''(t) + k * u(t) = 0
m = 2 lb / (32.2 ft/s^2) = 0.062 lb·s^2/ft
The spring constant k can be determined using Hooke's law:
k = F / x
where F is the force exerted by the mass and x is the displacement. In this case, the force F is the weight of the mass, and the displacement x is 6 in:
k = (2 lb) / (6 in) = (2 lb) / (6 in) * (1 ft/12 in) = 0.111 lb/ft
The equation of motion now becomes:
0.062 * u''(t) + 0.111 * u(t) = 0
To solve this second-order linear homogeneous differential equation, we assume a solution of the form u(t) = A * cos(ωt + φ).
Substituting this assumed solution into the equation of motion, we get:
-0.062 * A * ω^2 * cos(ωt + φ) + 0.111 * A * cos(ωt + φ) = 0
-0.062 * ω^2 + 0.111 = 0
Solving for ω, we get:
ω = sqrt(0.111 / 0.062) = 2.258 rad/s
From ω, we can determine the frequency f and period T:
f = ω / (2π) = 2.258 / (2π) ≈ 0.359 Hz
T = 1 / f ≈ 2.786 s
The amplitude A is determined by the initial conditions. When the mass is pulled down an additional 3 in (0.25 ft) and released, it reaches its maximum displacement, so A = 0.25 ft.
Therefore, the position u of the mass at any time t is given by:
u(t) = 0.25 * cos(2.258t)
To draw the graph of u(t), plot the position u on the y-axis and time t on the x-axis, using the equation u(t) = 0.25 * cos(2.258t). The graph will be a cosine wave with an amplitude of 0.25 ft.
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How do you solve this
The coefficient of static friction between the box and the ground, given that a force of 200 N is needed to get the box moving is 0.43 (option A)
How do i determine the coefficient of static friction?First, we shall determine the normal reaction acting on the 47 Kg box. Details below:
Mass of object (m) = 11 KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) =?Normal reaction (N) = mg
Normal reaction (N) = 47 × 9.8
Normal reaction (N) = 460.6 N
Finally, we shall determine the coefficient of static friction. This is shown below:
Force applied = 200 NNormal reaction (N) = 460.6 NCoefficient of static friction (μ) =?Coefficient of friction (μ) = Frictional force (F) / normal reaction (N)
μ = F / N
μ = 200 / 460.6
μ = 0.43
Thus, we can conclude that the coefficient of static friction is 0.43 (option A)
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the spiral groove around the shaft of a screw is called
The spiral groove around the shaft of a screw is called the helical thread.
The spiral groove around the shaft of a screw is called the helical thread. It is a spiral-shaped groove that wraps around the shaft of the screw. The helical thread is an essential feature of screws and is what allows them to fasten objects together or lift objects.
The helical thread is designed to create a mechanical advantage. When the screw is turned, the helical thread moves forward, allowing the screw to drive into a material and hold it securely. The pitch of the helical thread determines how fast the screw moves forward when turned.
The helical thread is what distinguishes screws from other types of fasteners. It provides a reliable and efficient way to join materials together or create mechanical systems that require rotational motion.
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The spiral groove around the shaft of a screw is called the screw thread. It is a helical ridge or linear groove that winds around the axis of the screw and is utilized in many different machines. There are different types of screw threads, including square threads, buttress threads, and acme threads.
The screw thread's shape is determined by the screw's purpose and design. Long answer:In mechanical devices, screws are used to fasten objects together, create linear motion, and alter force or torque. Screw threads come in a variety of shapes and sizes to meet the needs of a wide range of applications. A screw's thread is a helical ridge or linear groove that winds around the screw's axis. A screw thread can be made by cutting, rolling, or grinding.
Square threads are used for fastening heavy objects because they have a large contact surface and are very strong. Acme threads are used for high-speed power transmission because they are more efficient. Buttress threads are used for applications that require high axial force because they have a large contact surface area. The screw thread is an essential component of many machines and devices.
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45. Two football players collide. The offensive player, mass100, was running at
8.00 m/s. A defensive player catches up to the offensive player from behind.
The defensive player was traveling 11 m/s when he tackled the other player.
a. What was the speed of the two players after the collision?
b. What impulse is felt by each player?
c. If the collision lasted 0.05 seconds, then what was the force felt by each player?
The impulse-momentum theorem can be utilized: Change in momentum is an impulse. The impulse is known to be 0.05 Ns (1008+10011). Therefore, the force exerted by each player is equal to 1008+10011 N divided by 0.05.
What is Impluse-momentum Theorem?According to the impulse-momentum theorem, the change in an object's momentum will be proportional to the impulse applied to it. Now that we understand the impulse-momentum theorem, we can see that the same velocity change can be caused by applying a small net force for a long time and a large net force for a short time.
p equals F net t. The impulse-momentum theorem is derived from the equation F net t, which is also referred to as impulse.
The use of airbags in automobiles is one example. Because they can reduce the force exerted on an object involved in a collision, airbags are used in automobiles. By extending the amount of time required to stop the driver and passenger's momentum, airbags accomplish this.
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A playground toy has four seats, each 6.4kg , attached to very light rods of length r= 1.5m , as seen from below in the figure.
The moment of inertia about the rotation axis for the given playground toy, with two children sitting opposite each other, is approximately 145.35 kg·m².
To determine the moment of inertia about the rotation axis for the given playground toy, we need to consider the contributions from the seats and the two children.
Given:
Mass of each seat = 6.4 kg
Length of the rods (r) = 1.5 m
Mass of the first child (m₁)= 16 kg
Mass of the second child (m₂) = 23 kg
The moment of inertia of each seat can be calculated using the formula for the moment of inertia of a point mass about an axis:
\(I_{seat} = m_{seat times} r^2\)
For each seat, the moment of inertia is:
\(I_{seat} = 6.4 kg times (1.5 m)^2= 14.4 kg\cdot m^2\)
Now, to calculate the moment of inertia contributed by the children, we need to consider that the children are located opposite each other. Assuming the axis of rotation passes through the center of mass of the children-seats system, the moment of inertia for each child is:
\(I_{child} = m_{child times} r^2\)
For the first child (m₁):
\(I_1 = 16 kg times (1.5 m)^2 = 36 kgm^2\)
For the second child (m₂):
\(I_2 = 23 kg times (1.5 m)^2 = 51.75 kgm^2\)
Finally, we can calculate the total moment of inertia by summing the contributions from the seats and the children:
Total moment of inertia =\(4 times I_{seat} + I_1 + I_2\)
= \(4 times (14.4 kgm^2) + 36 kgm^2 + 51.75 kgm^2\)
= \(57.6 kgm^2 + 36 kgm^2 + 51.75 kgm^2\)
= \(145.35 kgm^2\)
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Which of the following statements about Australian football is TRUE?
A.
The players tend to wear a large amount of padding.
B.
Goals are scored by kicking the ball through goalposts.
C.
Each team has a number of set plays for both offense and defense.
D.
The constant movement of the ball is similar to baseball.
Answer:
B.
Goals are scored by kicking the ball through goalposts.
Explanation:
A force is applied to stop a moving shopping cart. explain how increasing the time of impact would change the force required to stop the cart. enter your answer in the space provided.
By increasing the time of impact a smaller amount of force would be required to stop the cart. The force of the impact decreases as the impact of time increases. Therefore, the force on the body decreases as time increases with a constant change in momentum.
What is force?The push or pull on a massed object changes its velocity is defined as force. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
Force = Mass × Acceleration
How is force related to change in time?The change in momentum over time is measured by force. In real life, when a force is applied to an object, it accelerates and rises in velocity, which increases the momentum of the object.
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How does the government involve in a child or young person’s upbringing in your
country?
The government are involved in a child or young person’s upbringing in my country by providing the right amenities and ensure the justice system is fair.
What is Upbringing?This is defined as the way an individual treated at a young age by older adults such as parents.
Providing amenities will ensure the upbringing of the child is easier and a fair justice system will help to control crime.
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Ashley is going on a trip to London. She has saved $130.00 in spending money. When she arrives in England, she goes to a bank to change her money into pounds. She is told that the exchange rate is 1 British pound = 1.43 American dollars. The bank charges a fee of 4 pounds to change the money from dollars to pounds. How much money, in British pounds, will Ashley have if she changes all of her dollars to pounds?
Ashley will have 86.909 pounds to spend on the trip in London.
1 British pound = 1.43 American dollars
This shows the conversion of British pound into American dollars.
1 American dollar = \(\frac{1}{1.43}\) British pound
1 American dollar = 0.6993 British pound
Ashley has $130.00
The amount of money she will have in British Pound can be calculated as:
= $130.00 * 0.6993
= 90.909 British Pound
Fee charged by the bank to convert the currency from American dollars to British pounds = 4 British pounds
Remaining amount after paying bank's fee = 90.909 - 4
= 86.909 British pounds
Therefore Ashley will have 86.909 British pounds after she changes all of her dollars to pounds.
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Which mixture of solids can be separated by using both shape and size?
A: Beans, ground coffee, and baking powder
B: Oval beads, marbles, and dice
C: Sand, sea shells, and salt
D: White rice, yellow string beans, and green string beans
The mixture of solids that can be separated by using both shape and size is oval beads, marbles, and dice (option B).
What is a mixture?A mixture in chemistry is any substance that is made up of two or more constituents that can easily be separated using physical means.
Mixtures, unlike compounds, contain substances that retain their chemical composition since there is no chemical bonding.
This makes the components of a mixture separable by physical techniques such as heating, magnetism etc.
Therefore, the mixture of solids that can be separated by using both shape and size is oval beads, marbles, and dice because they are all of different and unique shapes and sizes.
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ACTIVITY 4
Applying the equation learned, answer the following problems:
1. A bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s. What is its momentum? p = m/s. What Is Its Momentum?
Given:
Find:
Formula:
Solution:
2. A skateboard is rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s. What is its mass?
Given:
Find:
Formula:
Solution:
3. A pitcher throws a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s. What is its velocity?
Given:
Find:
Formula:
Solution:
Subject Is Science
Good Perfect Complete=Brainlist
Copy Wrong Incomplete=Report
Good Luck Answer Brainly Users:-)
Answer:
1) 10 kg-m/s
2) 2 kg
3) 20 m/s
Explanation:
The momentum of an object can be calculated using the equation:
\(\large\boxed{p=mv}\)
where:
p is momentum (measured in kilogram meters per second).m is mass (measured in kilograms).v is the velocity (measured in meters per second).\(\hrulefill\)
Question 1For this question we need to find the momentum of a bowling ball whose mass is 4.0 kg is rolling at a rate of 2.5 m/s.
Given values:
m = 4.0 kgv = 2.5 m/sSubstitute the given values into the momentum formula and solve for p:
\(p=4.0\;\text{kg} \cdot 2.5\;\text{m/s}\)
\(p=10\;\text{kg m/s}\)
Therefore, the momentum of the bowling ball is 10 kg-m/s.
\(\hrulefill\)
Question 2For this question we need to find the mass of a skateboard rolling at a velocity of 3.0 m/s with a momentum of 6.0 kg-m/s.
Given values:
p = 6.0 kg-m/sv = 3.0 m/sAs we want to find mass, rearrange the momentum formula to isolate m:
\(\large\boxed{m=\dfrac{p}{v}}\)
Substitute the given values into the formula and solve for m:
\(m=\dfrac{6.0\; \text{kg m/s}}{3.0\; \text{m/s}}\)
\(m=2\;\text{kg}\)
Therefore, the mass of the skateboard is 2 kg.
\(\hrulefill\)
Question 3For this question we need to find the velocity of a baseball with a mass of 0.5 kg and a momentum of 10 kg-m/s.
Given values:
p = 10 kg-m/sm = 0.5 kgAs we want to find velocity, rearrange the momentum formula to isolate v:
\(\large\boxed{v=\dfrac{p}{m}}\)
Substitute the given values into the formula and solve for v:
\(v=\dfrac{10\; \text{kg m/s}}{0.5\; \text{kg}}\)
\(v=20\;\text{m/s}\)
Therefore, the velocity of the baseball is 20 m/s.
If a baseball lands with a speed of 80 miles/hr after traveling with an acceleration of -6 miles/hr/sec for 5seconds, what was the initial speed at which the ball was hit?
We are given that an object falls with an acceleration of -6 miles/h/s. To determine the initial velocity we will use the following motion:
\(v_f=v_0+at\)Where:
\(\begin{gathered} v_f,v_0=\text{ final and initial velocity} \\ a=\text{ acceleration} \\ t=\text{ time} \end{gathered}\)Now, we solve for the initial velocity by subtracting "at" from both sides:
\(v_f-at=v_0\)Now, we plug in the values:
\(80\frac{mi}{h}-(6\frac{mi}{hs})(5s)=v_0\)Now, we solve the operations:
\(50\frac{mi}{h}=v_0\)Therefore, the initial velocity is 50 mi/h.