The ball's potential energy is completely changed into its kinetic energy (E k), which is equal to 250 J, when it hits the ground.
If v is the speed the ball was traveling at when it hit the ground, then
E(k) = 1 /2 mv^2
V= √2Ek/m
V= √2*250/ 2
V= 15.81 m/s
potential energy, which is a form of stored energy that depends on the relative positions of different components in a system. When a spring is compressed or stretched, its potential energy increases. If a steel ball is raised above the ground as opposed to falling to the ground, it has more potential energy.
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What is the weight of a body at a centre of Earth
a ball of mass 0.2 kg is dropped from a height of 20m on impact to the ground it loses in 30 joule of energy calculate the height it reaches on rebound
Answer:
5 m
Explanation:
We'll begin by calculating the original potential energy. This can be obtained as follow:
Mass (m) = 0.2 Kg
Height (h) = 20 m
Acceleration due to gravity (g) = 10 m/s²
Energy (E₀) =?
E₀ = mgh
E₀ = 0.2 × 10 × 20
E₀ = 40 J
Next, we shall determine the new energy of the ball.
Energy (E₀) = 40 J
Energy lost (Eₗ) = 30 J
New energy (E) =?
E = E₀ – Eₗ
E = 40 – 30
E = 10 J
Finally, we shall determine height of the ball on rebound. This can be obtained as follow:
New energy (E) = 10 J
Mass (m) = 0.2 Kg
Acceleration due to gravity (g) = 10 m/s²
Height (h) =?
E = mgh
10 = 0.2 × 10 × h
10 = 2 × h
Divide both side by 2
h= 10 / 2
h = 5 m
Thus, the height of the ball on rebound is 5 m
Write three laws of refraction by a lens.
Answer:
1.The incident Ray,the refracted Ray and the normal at the point of incidence,all three lies in the same plane
2.the ratio of sine of angle of incidence to the sine of angle of refraction is constant for a pair
a force of 300n produces pressure of 20 N/m2. On what are is it acting? show your working
Answer:
Explanation:
Given:
F = 300 N
p = 20 N/m²
__________
A - ?
Valid for the area A:
A = F / p
A = 300 / 20 = 15 m²
how many band is the parametric microphone equalizer?
Answer:
3 bands
Explanation:
Basically, the Parametric EQ divides the audio spectrum into three bands, allowing you to enhance (or suppress) the level in that range.
if a mechanic pushes A (0.1M2) with a force of 200N, what will be the pressure? Show your working
Answer:
Explanation:
Given:
A = 0.1 m²
F = 200 N
_________
p - ?
Pressure:
p = F / A
p = 200 / 0.1 = 2 000 Pa
6-The ideal-gas equation of state relates absolute pressure. P (atmi); gas volume, V(liters); number of moles of gas, n. Mol. ; and absolute temperature, T K) : [10] PV=0. 08206nT (a) Convert the equation to one relating P. Psig. ,Hf3),n. Lb-mole. , and T∗ F2. (b) A 30. 0 molec; CO and 70. 0 molete N gas mixture is stored in a cylinder with a volume of 3. 5 fts at a temperature of 85∘F. The reading on a Bourdon gauge attached to the cylinder is 500psi. Calculate the total amount of gas ( b-mole) and the mass of CO. Lb. In the tank. (c) Approximately to what temperature ("F) would the cylinder have to be heated to increase the gas pressure to 3000 pig, the rated safety limit of the cylinder? (The estimate would only be approximate because the ideal gas equation of state would not be accurate at pressures this high. )
To convert the ideal-gas equation to relate Ppsig, Vft³, nlb-mole, and T°F and the total amount of gas is calculated by converting the moles of CO and N to lb-mole and to estimate the temperature needed to increase the gas pressure to 3000 psig, Convert the obtained temperature in K to °F.
The equation relating P (psig), V (ft³), n (lb-mole), and T* (°F) is:
P = 14.7 * P(atm), V = 28.3168 * V(L), n
= 2.20462 * n(mol), and T*
= (9/5) * T(K) - 459.67 and to calculate the total amount of gas in lb-mole, multiply the number of moles of CO by its molar mass and convert to lb-mole and to estimate the temperature in °F required to increase the gas pressure to 3000 psig.
(a) To convert the equation, we need to apply the following conversions:
- To convert P from atm to psig, multiply by 14.7 (since 1 atm = 14.7 psig).
- To convert V from liters to ft³, multiply by 28.3168 (since 1 liter = 0.0353 ft³).
- To convert n from mol to lb-mole, multiply by 2.20462 (since 1 mol = 2.20462 lb-mole).
- To convert T from K to °F, use the conversion formula:
T* = (9/5) * T(K) - 459.67.
(b) To calculate the total amount of gas in lb-mole, multiply the number of moles of CO by its molar mass (using the periodic table) and convert to lb-mole by multiplying by the molar mass of CO (28.01 lb/lb-mol). To calculate the mass of CO in lb, multiply the number of moles of CO by its molar mass (28.01 g/mol) and convert to lb by dividing by 453.59237 g/lb.
(c) To estimate the temperature in °F required to increase the gas pressure to 3000 psig, rearrange the ideal gas equation to solve for T*. Substitute the known values: P = 3000 psig (pressure limit), V = 3.5 ft³ (volume), n = 30.0 mole (number of moles), and solve for T*. Note that this estimate may not be accurate at high pressures.
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Answer:
a on edge
Explanation:
a running person has a what you need. Mass of 60kg and a speed of 3.16m/s what is her kinetic energy?
Answer:
\(\boxed {\boxed {\sf 299.568 \ Joules }}\)
Explanation:
Kinetic energy can be found using the following formula:
\(E_k=\frac{1}{2}mv^2\)
where m is the mass and v is the velocity.
The mass of the person is 60 kilograms and the velocity is 3.16 meters per second
\(m= 60 \ kg \\v= 3.16 \ m/s\)
Substitute the values into the formula.
\(E_k=\frac{1}{2} (60 \ kg) *(3.16 \ m/s)^2\)
First, evaluate the exponent.
(3.16 m/s)²= (3.16 m/s) * (3.16 m/s) = 9.9856 m²/s²\(E_k=\frac{1}{2}(60 \ kg ) (9.9856 \ m^2/s^2)\)
Multiply 60 kg by 9.9856 m²/s²
\(E_k=\frac{1}{2} (599.136 \ kg*m^2/s^2)\)
Multiply 599.136 kg*m²/s² by 1/2, or divide by 2.
\(E_k=299.568 \ kg*m^2/s^2\)
1 kg*m²/s² is equal to 1 Joule Therefore, our answer of 299.568 kg*m²/s² is equal to 299.568 Joules.\(E_k= 299.568 \ J\)
The running person has a kinetic energy of 299.568 Joules.
Solution:
We know that, Kinetic energy(kE)= 1/2×m×v^2
By applying formula,we get
Or,KE=1/2×60×3.16^2
Or,kE=299.57j
So,her kinetic energy is 2999.5j
4) Two people are pulling on a chain in opposite directions with forces of 500 N and 600 N. The
forces would best be described as ____.
A) balanced forces
B) unbalanced forces
C) action-reaction forces
D) gravitational forces
Answer: B) unbalanced forces
Explanation:
500 N and 600 N are not equal to each other. The two people are also pulling on the chain in opposite directions. Using these given pieces of information, we can decide that the answer is unbalanced forces acting upon the chain.
500 N ≠ 600 N
planck's constant is 6.6 x 10-34 j·s and the proton mass is 1.7 x 10-27 kg. the speed of a proton whose de broglie wavelength is 4.0 x 107 m is
The speed of a proton whose de Broglie wavelength is 4.0 x 10⁻⁷ m is approximately 1.1 x 10⁴ m/s.
To find the speed of a proton with a given de Broglie wavelength, we can use the de Broglie wavelength equation:
λ = h / (m * v)
λ is the de Broglie wavelength,
h is Planck's constant (h = 6.6 x 10⁻³⁴ J·s),
m is the mass of the proton (m = 1.7 x 10⁻²⁷ kg),
v is the speed of the proton.
Rearranging the equation to solve for v, we have:
v = h / (m * λ)
Substituting the given values, we get:
v = (6.6 x 10⁻³⁴ J·s) / (1.7 x 10⁻²⁷ kg * 4.0 x 10⁻⁷ m)
Simplifying the expression, we find:
v ≈ 1.1 x 10⁴ m/s
Therefore, the speed of the proton is approximately 1.1 x 10⁴ m/s.
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true or false: Objects in motion always come to a stop even if no forces are acting upon them.
A projectile is fired vertically upward with an initial velocity of 190 m/s. Find the maximum height of the projectile
ANSWER
\(1841.84\text{ m}\)EXPLANATION
Parameteters given:
Initial velocity = 190 m/s
To find the maximum height, we apply the formula for the maximum height of a projectile:
\(H=\frac{u^2\sin ^2\theta}{2g}\)where u = initial velocity
θ = angle with the horizontal
g = acceleration due to gravity = 9.8 m/s²
From the question, the projectile is fired vertically upward. This means that the projectile will make a 90° angle with the horizontal.
Therefore, we have that the maximum height of the projectile is:
\(\begin{gathered} H=\frac{190^2\cdot\sin ^2(90)}{2\cdot9.8} \\ H=1841.84\text{ m} \end{gathered}\)Answer:
Height is equal to 1841.8367m
Explanation:
KE = GPE
Write out the formula
1/2(m)(v^2) = mgh
Fill it with the information you have
1/2(190^2) = (9.8)(h)
Solve
1/2(36100) = 9.8h
18050 = 9.8h
1841.83673 = h
Write the complete answer out
Maximum height is equal to 1841.8367m (meters)
20V Calculate: Total resistance from the given diagram. Fig:(a) 4W 12v 6W Fig:(b) 6W 6W 12v
Answer:
please help
Explanation:
What is the Amplitude and Wavelength of this image?
Answer:
amp = 5 and wavelength = 6
Explanation:
As important as it is to plan ahead,sometimes you
Answer:
B. Cant stop things from going wrong.
Explanation:
To me it's the only reasonable answer...
A rocket initially traveling straight up at a speed of 20. 0 m/s undergoes constant acceleration in the direction of travel to a speed of 30. 0 m/s over a distance of 40. 0 m. What is the magnitude of the rocket's acceleration?
0. 125
2. 50
6. 50
12. 5
The magnitude of the rocket's acceleration is 12.5 m/s².To find the magnitude of the rocket's acceleration, we can use the equation of motion: \(v^2 = u^2 + 2as\)
The above equation has v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled. Rearranging the equation, we have \(a = (v^2 - u^2) / (2s)\).Given that the initial velocity (u) is 20.0 m/s, the final velocity (v) is 30.0 m/s, and the distance traveled (s) is 40.0 m, we can substitute these values into the equation:
a = (30.0² - 20.0²) / (2 * 40.0)
= (900 - 400) / 80
= 500 / 80
= 6.25 m/s².
Therefore, the magnitude of the rocket's acceleration is 6.25 m/s².
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c. If the box experiences a force of 15 N to the left, along with the 20 N force acting to the right, what is the net force on the box?
According to the data given in the question the net force on the box is of 5 N.
What does net force mean?All of the forces that are applied to an object are added up to form the net force. As a consequence of the fact that it (force) is a vector and therefore that two forces with identical magnitudes and opposing directions cancel each other out, the resultant force is the total of the forces, or put another way, the net force is just the total of all the forces.
Given data :
Force on box to the left side (F1) = 15 N
Force on box to the right side (F2) = 20 N
Because both forces are in opposite direction
Hence,
Net force = F2 - F1
Net force = 20 - 15
Net force = 5 N.
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A boat uses its motor to increase its speed from 5 m/s to 7 m/s. If the boat has a mass of
250 kg, what was the impulse applied by the motor?
Answer:
J = 500 kg-m/s
Explanation:
Given that,
Initial speed of the motor, u = 5 m/s
Final speed of the motor, v = 7 m/s
Mass of the boat, m = 250 kg
We need to find the impulse applied by the motor. We know that impulse is equal to the change in momentum. It is represented by letter J.
J = m(v-u)
J = 250 (7-5)
J = 500 kg-m/s
Hence, the impulse applied by the motor is 500 kg-m/s.
1. A car starts from the rest on a circular track with a radius of 300 m. It accelerates with a constant tangential acceleration of a = 0.75 m/s?. Determine the distance traveled and the time elapsed"
Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.
To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.
The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).
Using the equation:
v = v₀ + at
where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:
v = 0 + (0.75 m/s²) * t
v = 0.75t m/s
The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:
v = ωr
Substituting the values:
0.75t = ω * 300
Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:
ω = ω₀ + αt
ω = 0 + (0.75 m/s²) * t
ω = 0.75t rad/s
We can now substitute the value of ω into the equation:
0.75t = (0.75t) * 300
Simplifying the equation gives:
0.75t = 225t
t = 0.75 seconds
The time elapsed is 0.75 seconds.
To calculate the distance traveled (s), we can use the equation:
s = v₀t + (1/2)at²
Since the initial velocity (v₀) is zero, the equation becomes:
s = (1/2)at²
s = (1/2)(0.75 m/s²)(0.75 s)²
s = (1/2)(0.75 m/s²)(0.5625 s²)
s = 0.2119 meters or approximately 21.19 centimeters
Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.
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Which of the following BEST describes all planets in the universe?
large, spherical body made mostly of rock
large, spherical body that orbits in a clear path around a sun
large, spherical body that orbits in a clear path around a star
large, spherical body made mostly of gases
Answer:c large, spherical body that orbits in a clear path around a star
Explanation:]
All planets in the universe are the large, spherical body that orbits in a clear path around a star. Therefore, option (C) is correct.
What is a planet?Planets can be described as astronomical bodies which are orbiting a star and are big enough to have their own gravity.
In the solar system, a planet is a body that revolves around the sun in fixed orbits and does not have the light of its own but reflects the light of the sun. They do not twinkle like other stars which are too close to us.
Our solar system consists of 8 planets which are in the order of Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
With approximately two trillion galaxies within our observable Universe, and are approximately 10²⁵ planets that orbit stars, with some approximately 10²⁶ to 10³⁰ additional starless planets.
Therefore, option (c) is correct according to which planets are the large, spherical body that orbits in a clear path around a star.
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Wagonium-292 has a half-life of 1 hour. If you started with an 80 gram sample, how much Wagonium-292 will remain after 4 hours? A.) 10g B.) 40g C.) 160g D.) 5G
After 1 hour, 80 g decays to 40 g.
After another hour (total 2 hours), 40 g decays to 20 g.
After another hour (total 3), 20 g decays to 10 g.
After one more hour (total 4), 10 g decays to (D) 5 g.
If a constant fotce of 490 newtons is applied to an object and it proceeds to accelerate in the opposjte direction at 9.8 meters per second, every second, what is its mass?
Answer:
50 kg
Explanation:
f=ma
Force = mass x acceleration
490 = 9.8 x m
m = 50 kg
Can some help me, please?
Answer:
1. Transform Boundary
2. Continental-continental convergent boundary
3. Oceanic-Oceanic Divergent boundary
Explanation:
Suggest why when wire is wounded into a coil to form an electromagnet, the wire is insulated with a layer of plastic or paint around the outside
The wire is insulated with a layer of plastic or paint around the outside when wound into a coil to form an electromagnet to prevent the wire from shorting out against itself or other conductive materials.
Why are such wire insulated with a layer of plastic or paint outside?When an electric current flows through a wire, it generates a magnetic field around the wire. By coiling the wire, the magnetic field is strengthened, creating a more powerful electromagnet.
However, if the wire is not insulated, the coils can touch each other, creating a short circuit that can damage the wire or the power source. Insulating the wire with a layer of plastic or paint prevents this from happening by creating a barrier between the wire and other conductive materials.
This allows the electric current to flow through the wire and generate the magnetic field, while also protecting the wire and ensuring that the electromagnet works properly.
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just need to know net force, unbalanced or balanced and accelerated or not accelerated :)
Answer:
9. forces: BALANCED, object will: NOT ACCELERATE
10. Forces: UNBALANCED, object will: ACCELERATE
Explanation: sorry I don't no the net force but hope this helps for know
Two rays of light converge to a point on a screen. A thick plate of glass with parallel surfaces is placed in the path of this converging light, with the parallel surfaces parallel to the screen. Will the point of convergence
When a thick plate of glass with parallel surfaces is placed in the path of converging light, it will cause the light to refract or bend as it passes through the glass.
The extent to which the light bends depends on the refractive index of the glass. If the refractive index of the glass is greater than that of air, the light will bend towards the normal, while if it is less than that of air, the light will bend away from the normal.
In the case where two rays of light converge to a point on a screen and a thick plate of glass with parallel surfaces is placed in their path, the point of convergence will be shifted. This is because the light rays that are passing through the glass will be bent towards or away from the normal, depending on the refractive index of the glass. This will cause the rays to diverge or converge at a different point on the screen.
In conclusion, the point of convergence will be shifted when a thick plate of glass with parallel surfaces is placed in the path of converging light. The amount of shift will depend on the thickness and refractive index of the glass, as well as the angle of incidence of the light rays.
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place theory argues that sounds of different frequencies induce vibration in different areas of the
Place theory argues that sounds of different frequencies induce vibration in different areas of the basilar membrane within the cochlea of the inner ear.
According to this theory, the specific location of these vibrations allows the brain to identify and interpret the frequency of a sound. High-frequency sounds cause the basilar membrane to vibrate near the base, closest to the oval window, while low-frequency sounds cause vibrations near the apex, or the end farthest from the oval window. The hair cells lining the basilar membrane are responsible for translating these vibrations into neural signals, which are then sent to the auditory nerve and eventually to the auditory cortex of the brain for processing.
The arrangement of hair cells along the basilar membrane creates a tonotopic map, meaning that each area is tuned to respond to specific frequencies, this spatial arrangement allows the brain to determine the pitch of a sound based on the location of the activated hair cells. In summary, place theory posits that the perception of different sound frequencies is determined by the specific location of vibrations along the basilar membrane. The tonotopic organization of hair cells helps the brain accurately identify and interpret various frequencies by detecting the origin of these vibrations.
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Suppose you inflate your car tires to 38 psi on a 25 ∘C day.
Later, the temperature drops to 0∘C. What is the pressure in your tires now?
The pressure in your tires would decrease due to the decrease in temperature. The relationship between temperature and pressure is known as the ideal gas law.
which states that pressure and temperature are directly proportional to each other. As the temperature drops, so does the pressure in the tires. The ideal gas law formula is P1/T1 = P2/T2, where P1 is the initial pressure, T1 is the initial temperature, P2 is the final pressure, and T2 is the final temperature.
Using this formula and assuming that the volume of the tires remains constant, we can calculate the final pressure in the tires. P1 is 38 psi, T1 is 25°C + 273.15 (to convert to Kelvin) = 298.15 K, T2 is 0°C + 273.15 = 273.15 K. Plugging in the values, we get P2 = (38 psi * 273.15 K) / 298.15 K = 34.9 psi. Therefore, the pressure in your tires would be approximately 34.9 psi when the temperature drops to 0°C.
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Select the correct answer. The rules of volleyball today have been only slightly changed from the rules when the game was A True B. False Next
Receptacle is defined as a point in
the electrical system where
electrical energy is
A. Uninstalled
C. Installed
B. Supplied for electrical use
D. Supplied for direct wiring
Receptacle is defined as a point in the electrical system where electrical energy is Installed.
What is receptacle?The Latin term receptaculum, which denotes a location to receive and keep items, is the source of the English word "receptacle."
Receptacles and electrical outlets are types of sockets that are used to create an electrical connection between a power source and an electronic device.
There are several different types of outlets, including two-pronged outlets, grounded outlets, tamper-resistant outlets, arc fault circuit interrupter outlets, surge suppression outlets, and USB outlets.
According to Section 210.52 of the US National Electrical Code, every kitchen, bedroom, living room, family room, and other room with a designated living area must have an electrical outlet. They must be placed at intervals of no less than twelve feet along the floor line.
Correct option: (B) Installed
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