Considering the equivalence between mass and energy given by the expression of Einstein's theory of relativity, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.
The equivalence between mass and energy is given by the expression of Einstein's theory of relativity, where the energy of a body at rest (E) is equal to its mass (m) multiplied by the speed of light (c) squared:
E=m×c²
This indicates that an increase or decrease in energy in a system correspondingly increases or decreases its mass, and an increase or decrease in mass corresponds to an increase or decrease in energy.
In other words, a change in the amount of energy E, of an object is directly proportional to a change in its mass m.
In this case, you know:
m=1.05 kg c= 3×10⁸ m/sReplacing:
E= 1.05 kg× (3×10⁸ m/s)²
Solving:
E= 9.45×10¹⁶ J
Finally, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.
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brainly.com/question/9477556a 30 kg cart is travelling in a zero friction environment at a constant velocity of 5m/s. It's about to go up a very steep hill. How high will the cart be when the velocity changes to zero? PLEASE HELP
Answer:
1.27551m
Explanation:
This is a simple energy convertion problem. Since there is no friction, and assuming no air drag and other external factors, mechanical energy should be conserved in this system.
Thus, we get:
\(KE_{initial} + PE_{initial} = KE_{final} + PE_{final}\)
We also know that the gravitational potential energy is equal to mgh, while the KE can be calculated using \(\frac{1}{2}mv^2\)
One thing to note here, is that the final KE will be 0, as there is no velocity at the end. Furthermore, we also can set the initial PE as 0 as we are looking at relative height, and at the start it is at h=0.
\(KE_{initial} = PE_{final}\)
Plugging in:
\(\frac{1}{2}*30*5^2 = 30*9.8*h\)
Solving for h, we get 1.27551m
Can someone please give me the (Answers) to this? ... please ...
I need help….
Note : Please discard your other answers as they are incorrect. I have personally solved this problem and have attached the appropriate image.
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Which object(s) is(are) maintaining a constant velocity? Pick FOUR!
Answer:
It's B C D E are maintaining a constant velocity
Part E Adjust the temperature at 5900 K. What is the color of a star at this temperature?
The color of the star at 5900K is close to the color of the sun, that is yellow. So the color of the star at 5900K will be yellow.
The color of light emitted by a hypothetical opaque, non-reflective body at a specific temperature expressed in kelvins is known as color temperature. Regardless of the temperature of other light sources, the color of their light is classified using the color temperature scale.
One aspect of visible light is color temperature. Lower color temperatures (2700–3000 K) are referred to as "warm colors," while color temperatures over 5000 K are referred to as "cool colors" (bluish) (yellowish).
The Sun closely resembles a radiator with a black body. The total radiative power per square unit determines the effective temperature, which is approximately 5780 K. Over the atmosphere, sunlight has a color temperature of approximately 5900 K.
Therefore, the star with a temperature around 5900K will have a color similar to that of the sun which is yellow.
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Write One paragraph to discuss how you can apply to real life what you have learned from the Scientific Investigation you have conducted?
My topic is What makes ice melt faster?
the hot sun
hi
Explanation:
when its sunny (always in my city) then put ice on the sun (not directly to the sun) but where the sun shines
A ball is dropped off a bridge and it takes 5 seconds to hit the water below. About how fast is the ball traveling just before it hits the water?
Explanation:distance between bridge and water as "x"meters
speed=distance * time
speed= x * 5
speed=5x m/s
) now you will start taking data with the magnetometer. select the magnetometer sensor and start recording data. un-check the bx and bz boxes so that only the by trace is being displayed on the chart. stand several feet away from anything metallic or magnetic and point the y-axis of the iolab in different directions (forward, backward, up, down, left, right, etc) and find the orientation of your iolab for which its measurement of by has the biggest value. what does this tell you about the direction of the earths magnetic field in your location?
It shows that the orientation of the iolab that gives the largest "by" reading corresponds to the direction of the Earth's magnetic field in your location.
How to explain the informationA magnetometer is a device that measures magnetic fields. It can be used to detect the Earth's magnetic field, which is generated by the motion of molten iron in the Earth's core. The Earth's magnetic field is a vector field, which means that it has both magnitude and direction.
When you stand several feet away from anything metallic or magnetic and point the y-axis of the iolab in different directions, you are essentially changing the orientation of the magnetometer sensor relative to the Earth's magnetic field. The sensor measures the strength of the magnetic field component in the direction of the sensor. In this case, you are only measuring the "by" component of the magnetic field, which is the component of the field that is perpendicular to the surface of the Earth.
By finding the orientation of the iolab for which its measurement of "by" has the biggest value, you are essentially finding the direction of the Earth's magnetic field in your location. The direction of the Earth's magnetic field at any point on the Earth's surface is not constant, and it varies with location. However, in general, the direction of the Earth's magnetic field at any point on the Earth's surface is roughly parallel to the surface of the Earth and points towards the geographic North Pole.
Therefore, the orientation of the iolab that gives the largest "by" reading corresponds to the direction of the Earth's magnetic field in your location.
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What is the magnitude of the magnetic field created 4.0m away from a 10.0 A current?
Answer:
The magnitude of the magnetic field created is 5 x 10⁻⁷ T
Explanation:
Given;
magnitude of current, I = 10.0 A
distance of the magnetic field, r = 4.0m
Apply Biot-Savart Law to determine the magnitude of of the magnetic field created;
\(B = \frac{\mu_oI}{2 \pi r}\)
where;
B is the magnitude of of the magnetic field
μ₀ is constant
I is current
r is the distance of the field
\(B = \frac{4 \pi*10^{-7} *10}{2 \pi*4} = 5*10^{-7} \ T\)
Therefore, the magnitude of the magnetic field created is 5 x 10⁻⁷ T
The speed of light is about 300,000 km/s. It takes approximately 1.3 seconds for light reflected from the moon
to reach Earth. What is the average distance from Earth to the moon?
u have to divide it and u will get the answer
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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How does changing the mass of an object in the system's acceleration when a constant force is applied?
When a constant force is applied, an increase in the mass of an object decreases its acceleration and vice versa.
What is the relationship between the force, mass, and acceleration of an object?The mass of an object is the quantity of matter present in the object.
Force is a push or pull agent that causes a change in the motion or state of rest of an object.
Acceleration of an object is the change in velocity with time of the object.
The relationship between the force, mass, and acceleration of an object is given below:
Force = mass * accelerationMass = Force / accelerationAcceleration = Force / massFrom the above formulas, it can be seen that mass and acceleration have an inverse relationship such that as one increases, the other decreases, and vice versa.
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A man has a mass of 85 kg. What is his weight?
he weights 187.393 pounds
Answer:833N
Explanation: A. P. E. X.
An aluminium bar 600mm long1 with diameter 40mm, has a hole drilled in the centre of the bar. The hole is 30mm in diameter and is 100mm long. If the modulus of elasticity for the aluminium is 85GN/M^2 Calculate the total contraction on the bar due to a compressive load of 180KN
Answer:
Total contraction = 1.2277 mm
Explanation:
the solution is given in the picture below and it is more explanatory
Does everything in a black hole contain a singularity?
Answer:
All black holes contain singularities, however not all singularities involve black holes. A neutron star may be dense, matter the size of a pinhead can weigh as much as the earth, but there seems to be a mathematical cut-off point beyond which a black hole is formed.
At a location where g = 9.80 m/s2, an object is thrown vertically down with an initial speed of 1.00 m/s. after 5.00 s the object will have traveled:
The distance travelled by the object with a given initial speed is calculated to be 0.05 m.
The initial speed u is given as 1 m/s
Acceleration due to gravity g is taken as 9.8 m/s²
After 5 s, the distance travelled by the object = ?
Time t = 5 s
The object's final velocity, v, is zero.
From the equations of motion, let us find out the distance travelled by the object.
v² - u² = 2 a s
0 - 1² = 2 × 9.8 × s
19.6 s = -1
s = - 0.05 m
The negative sign represents the opposite direction.
Thus, the distance travelled is 0.05 m.
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What is PNF primarily used for?
A: Pregame routines.
B: Rehabilitation and is known to increase flexibility.
C: Any sort of conditioning.
D: Keeping athletes on task.
Answer: B: Rehabilitation and is known to increase flexibility.
PNF stands for Proprioceptive Neuromuscular Facilitation, which is a type of stretching that involves the contraction and relaxation of muscles. It is commonly used in rehabilitation settings to improve range of motion, flexibility, and muscle strength.
your welcome (:
A wire of resistance R is cut into ten equal parts which are then connected in parallel. The equivalent resistance of the combination is
Answer:
The equivalent resistance of the combination is R/100
Explanation:
Parallel Connection of Resistances
If resistances R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:
\(\displaystyle \frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...+\frac{1}{R_n}\)
The electric resistance of a wire is directly proportional to its length. If a wire of resistance R is cut into 10 equal parts, then each part has a resistance of R/10.
It's known the 10 parts or resistance R/10 were connected in parallel, thus the electric resistance is:
\(\displaystyle \frac{1}{R_e}=\frac{1}{R/10}+\frac{1}{R/10}+\frac{1}{R/10}+...+\frac{1}{R/10}\)
Note the sum consists of 10 equal terms. Operating on each term:
\(\displaystyle \frac{1}{R_e}=\frac{10}{R}+\frac{10}{R}+\frac{10}{R}+...+\frac{10}{R}\)
The sum of 10 identical fractions yields 10 times each fraction:
\(\displaystyle \frac{1}{R_e}=10\frac{10}{R}=\frac{100}{R}\)
Solving for Re needs to take the reciprocal of both sides of the equation:
\(R_e=R/100\)
The equivalent resistance of the combination is R/100
How earth's magnetic field is taken as uniform magnetic field ?
Answer:
It is in contact with two vertical rails which are joined at the top. The rails are without friction and resistance. There is a horizontal uniform magnetic field of magnitude B perpendicular to the plane of the ring and the rails.
Explanation:
Not sure if this is correct but pls give thanks anyway!
2. How much power is required to do 200 J of work in 10 seconds?
Power = work / time
Power = 200J / 10 seconds
Power = 20 watts
Suppose that the sound level of a conversation is initially at an angry 71 dB and then drops to a soothing 54 dB. Assuming that the frequency of the sound is 504 Hz, determine the (a) initial and (b) final sound intensities and the (c) initial and (d) final sound wave amplitudes. Assume the speed of sound is 346 m/s and the air density is 1.21 kg/m3.
Answer:
Explanation:
In the decibel scale , intensity of sound changes logarithmically as follows
\(10log\frac{I}{I_0} =\) Value in decibel scale , the value of I₀ = 10⁻¹² W /m².
Putting the values
\(10log\frac{I}{10^{-12}} = 71\)
\(log\frac{I}{10^{-12}} = 7.1\)
\(\frac{I}{10^{-12}} = 10^{7.1}\)
\(I= 10^{-4.9}\) W/m²
Similarly for 54 dB sound intensity can be given as follows
I = 10⁻¹² x \(10^{5.4}\)
\(I= 10^{-6.6 }\) W / m²
For intensity of sound the relation is as follows
I = 2π²υ²A²ρc where υ is frequency , A is amplitude , ρ is density of air and c is velocity of sound .
Putting the given values for 71 dB
\(I= 10^{-4.9}\) = 2π² x 504²xA²x 1.21 x 346
A² = 60.03 x 10⁻¹⁶
A = 7.74 x 10⁻⁸ m
For 54 dB sound
\(10^{-6.6}\) = 2π² x 504²xA²x 1.21 x 346
A² = 1.1978 x 10⁻¹⁶
A = 1.1 x 10⁻⁸ m
a skier starts from rest and skis down a 82 meter tall hill labeled h1, into a valley and staught back up another 35 meter hill(labled h2). How fast in m/s is she going at the top of the 35 meter hill? Assume no friction
Answer:
She is going at 30.4 m/s at the top of the 35-meter hill.
Explanation:
We can find the velocity of the skier by energy conservation:
\( E_{1} = E_{2} \)
On the top of the hill 1 (h₁), she has only potential energy since she starts from rest. Now, on the top of the hill 2 (h₂), she has potential energy and kinetic energy.
\( mgh_{1} = mgh_{2} + \frac{1}{2}mv_{2}^{2} \) (1)
Where:
m: is the mass of the skier
h₁: is the height 1 = 82 m
h₂: is the height 2 = 35 m
g: is the acceleration due to gravity = 9.81 m/s²
v₂: is the speed of the skier at the top of h₂ =?
Now, by solving equation (1) for v₂ we have:
\( v_{2}^{2} = \frac{2mg(h_{1} - h_{2})}{m} \)
\( v_{2} = \sqrt{2g(h_{1} - h_{2})} = \sqrt{2*9.81 m/s^{2}*(82 m - 35 m)} = 30.4 m/s \)
Therefore, she is going at 30.4 m/s at the top of the 35-meter hill.
I hope it helps you!
Ya'll I been thinking...
is cereal really just a type of soup?
Answer:
Your a genius!
Explanation:
Sara walked north at 100 m/s. Han had a different velocity but the same speed.
He could have walked
O A. south at 50 m/s
O B. north at 200 m/s
O C. west at 100 m/s
• D. north at 100 m/s
Sara walked north at 100 m/s. Han had a different velocity but the same speed. He could have walked. The answer is option D: Han could have walked north at 100 m/s.
Velocity is a vector quantity that includes both speed and direction. In this scenario, Sara walked north at a speed of 100 m/s. Now, for Han to have the same speed but a different velocity, he would also need to be moving at 100 m/s. However, the direction of his movement can vary. Option A states that Han could have walked south at 50 m/s. This would result in a different speed than Sara, so it doesn’t meet the given conditions. Option B suggests that Han could have walked north at 200 m/s. This violates the condition of having the same speed as Sara, as Han’s speed would be twice as fast.
Option C suggests that Han could have walked west at 100 m/s. Again, this violates the condition of having the same speed as Sara, as Han’s direction is different. Option D states that Han could have walked north at 100 m/s. This satisfies the condition of having the same speed as Sara and allows for a different direction of movement, making it the correct option. In summary, only option D, where Han walks north at 100 m/s, meets the requirement of having the same speed as Sara while allowing for a different direction of motion.
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power of a lens whose focal length is -40 d.
Answer:
as we know
p=1/f
p=1/-40m
p= -0.025d
you have written the unit of focal length wrong it is the unit of power
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To sustain laser action it is usually necessary to place the lasing material between the two mirrors of an optical cavity. Why? a. The Pauli exclusion principle requires that the photons have different quantum numbers. The cavity guaranties this. b. This is required by the uncertainty principle.c. The mirrors produce thin-film interference, which enhances laser action. d. Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission. e. We have to confine the photons, because confinement leads to energy quantization.
Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission. The correct answer is d.
Placing the lasing material between the two mirrors of an optical cavity allows the photons to bounce back and forth through the lasing medium, increasing the probability of stimulated emission and amplifying the light to produce a laser beam. This process is essential for the sustained laser action. The Pauli exclusion principle and energy quantization may be relevant to the behavior of atoms and electrons in the lasing material, but they do not directly explain the need for an optical cavity. The uncertainty principle and thin-film interference are also not directly related to the function of an optical cavity in laser operation.
To sustain laser action, it is usually necessary to place the lasing material between the two mirrors of an optical cavity because:
d. Photons are reflected back and forth through the lasing medium, which greatly increases the probability of stimulated emission.
The optical cavity allows photons to travel back and forth through the lasing medium, increasing the chances of interacting with excited atoms and causing stimulated emission. This process amplifies the light, leading to the production of a coherent laser beam.
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Unanswered Correct Answer Question 14 Suppose a channel has a spectrum of 3MHz to 4Mhz and a SNR=24dB, a - What is the capacity? b - How many signaling levels will be required to hit that capacity? a: C = 4.5 Mbps, b: M = 16 a: C = 8Mbps, b: M = 16 a: C = 16Mbps, b: M = 8 a: C = 251 Mbps, b: M = 8
The correct answer is:
a) Capacity= 7.97 Mbps, b)Number of signaling levels M = 256
To calculate the capacity (C) and the number of signaling levels (M) required to achieve that capacity, we can use the Shannon capacity formula and the Nyquist formula.
The Shannon capacity formula is given by:
C = B * log2(1 + SNR)
Where:
C is the channel capacity in bits per second (bps)
B is the bandwidth of the channel in hertz (Hz)
SNR is the signal-to-noise ratio in decibels (dB)
In this case, the bandwidth (B) is 4 MHz - 3 MHz = 1 MHz = 1,000,000 Hz, and the SNR is 24 dB.
a) Calculating the capacity:
C = 1,000,000 * log2(1 + 10^(SNR/10))
C = 1,000,000 * log2(1 + 10^(24/10))
C ≈ 1,000,000 * log2(1 + 251.1886)
C ≈ 1,000,000 * log2(252.1886)
C ≈ 1,000,000 * 7.9658
C ≈ 7,965,800 bps ≈ 7.97 Mbps
b) Calculating the number of signaling levels:
M = 2^C/B
M = 2^(7.97/1)
M = 2^7.97
M ≈ 2^8
M ≈ 256
Therefore, the correct answer is:
a) C = 7.97 Mbps, b) M = 256
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is an essential nutrient that makes up more than 50 percent of your body weight
Answer:water
Explanation:
Water may be a nutrient that makes up 60% of our body weight. it's important in many functions, it's part of every cell in every tissue in the body.
Water carries other nutrients to all or any parts of the body, it carries waste out of the body and it helps to manage body temperature. When you run or play sports your body heats up pretty quickly.
Your body starts to sweat as a way to get rid of the heat. When the sweat evaporates on your skin your body and blood get cool. it's very important to replace the fluid that is lost by sweating so as not to become dehydrated.
If you get dehydrated the body cannot cool itself anymore and your performance will drop. Without enough water, whether you're exercising or sitting all day, you're at risk for dehydration which can be fatal
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how fast must a 1000 kg car be moving to have a kinetic energy of 2.0×10^5j
Answer:
E=0.5 m v^2
2*10^-5 = 0.5 1000*v^2
4*10^-5=1000v^2
4*10^-8=v^2
2*10^-4 =v
Answer:
20m/s
Explanation:
Ek=1/2(m)(v)^2
Ek=2.0x10^5
m=1000kg
v=?
2.0x10^5=1/2(1000)v^2
(2.0x10^5)/(0.5x1000)=v^2
\(\sqrt{400}\)=v
20m/s=v
Which type of rays have a wavelength shorter than that of visible light?
A.
microwaves
B.
infrared rays
C.
gamma rays
D.
radio waves
Answer:
c
Explanation:
wavelength shorter means energy is higher
the wavelength
radio waves>microwave>infrared rays>gamma rays
if two objects are experiencing the same amount of force, does that mean they will both experience the same amount of acceleration
If two objects are experiencing the same amount of force, the accelerations are not necessarily the same.
From Newton's second law,
we have F=ma,
where F is the force acting on the body, m is the mass and a is the acceleration of the body respectively.
Thus, the force of an object depends on both mass and acceleration. Hence, if the two objects experiencing the same amount of force have unequal masses, then they'll have unequal accelerations. For example, if the force experienced by a golf head and a golf ball are the same, the golf ball experiences greater acceleration due to its smaller mass. Thus if the two objects are experiencing the same amount of force, then the lighter object among the two experiences greater acceleration.
On the other hand, if the two objects experiencing the same amount of force are of equal mass, then both will experience the same amount of acceleration.
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