Given,
The velocity of the spaceship in as observed by an observer at the earth, v=0.75c
The time interval as observed by the observer on the earth, t₁=2.5 s
The time elapsed in the ship's frame of reference is given by,
[tex]t_2=\frac{t_1}{\sqrt[]{1-\frac{v^2}{c^2}}}[/tex]On substituting the known values,
[tex]\begin{gathered} t_2=\frac{2.5_{}}{\sqrt[]{1-\frac{(0.75c)^2}{c^2}}} \\ =\frac{2.5}{0.66} \\ =3.79\text{ s} \end{gathered}[/tex]Thus the time elapsed for an observer in the spaceship is 3.79 s
84 g of a metal at an initial temperature of 72°c releases 553 j of heat. Calculate the final temperature of the metal if its specific heat capacity is 0. 13 j/g⋅k.
The final temperature of a 84.0g metal with an initial temperature of 72°C releases 553J of heat is 395.6K.
How to calculate final temperature?The temperature of a substance can be calculated by using the following formula:
Q = mc∆T
Where;
Q = quantity of heat absorbed or releasedm = massc = specific heat capacity∆T = change in temperatureInitial temperature in Kelvins = 72°C + 273 = 345K
The final temperature is calculated as follows;
553 = 84 × 0.13 × (T - 345)
553 = 10.92T - 3767.4
10.92T = 4320.4
T = 395.6K
Therefore, 395.6K is the final temperature of the metal.
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Based on the information in the stimulus and Map 1, which statements best explain why opal is found in places such as Australia?
Opal can only be formed where an ocean comes in contact with land.
Much of the world's precious opal is mined in Australia's rugged hinterland. Here, a unique combination of geological conditions led to the formation of opals near the edge of the ancient Inner Sea. Australia is one of the world's leading opal producers and is considered to be the finest opal in the world. Australia's perfect climatic conditions are responsible for these wonderful stones.
Opal formation dates back millions of years when Australia became a new continent covered by a vast inland sea with sedimentary basins. Australian opal is produced by a chemical reaction between silicon dioxide and water. As water flows through the earth, it picks up silica from sandstone and carries this silica-rich solution into cracks and voids caused by natural faults and the decomposition of fossils.
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If a sample of gas occupies 23. 5 ml at 315 k and 14. 8 atm of pressure, what volume will it occupy at 415 k and 12. 3 atm?.
The volume occupied by gas is 37.25 ml.
Define ideal gas law?the rule that states that the sum of the absolute temperature of the gas and the universal gas constant is equal to the product of the pressure and volume of a single gram of an ideal gas.
The ideal gas law will be used for calculation of volume. The law is as follows :
P₁V₁ / T₁ = P₂V₂ / T₂
Keep the values in mentioned formula to find the value of final volume.
V₂ = (14.8 × 23.5 × 415) ÷ (12.3 × 315)
Performing multiplication in both numerator and denominator on Right Hand Side of the equation
V₂ = 144,337 ÷ 3874.5
Performing division on Right Hand Side of the equation
V₂ = 37.25 ml
Thus, the final volume of given sample of gas is 37.25 ml.
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A baseball rolls off a 1.20 m high desk and strikes the floor 0.55 m away from the base of the desk. How fast was it rolling?
The velocity of the basketball rolling off a 1.20 m high desk and strikes the floor 0.55 m away from the base of the desk is 1.22 m/s.
What is projectile motion?
The path followed by a projectile is known as projectile motion, when we throw any object in the air it follows a certain trajectile and that trajectory is known as projectile motion.
What is the time of flight?
Every projectile remains in the air for a certain period of time the amount of time the projectile space in the air is known as time of flight for the same velocity with different angles the time of flight can vary.
given:
height of the table = 1.20 meters
range of the projectile = 0.55 meters
first, we need to determine the time of flight of the projectile using the height of the table.
the time of flight for both the motion i.e., in x axis and y axis will be same.
using newtons second law of motion we get,
s = u × t + 0.5 × a × t²
where,
s is displacement in y axis
u is the initial velocity of the basketball
t is the time of flight
a is the acceleration due to gravity
substituting value in newtons second law of motion we get,
1.20 = 0 + 0.5 × 10 × t²
t² = 0.24
t = 0.49 seconds
now we will use this to find the velocity of the basketball using time distance relationship,
distance = speed × time
0.55 = velocity of the basketball × 0.49
velocity of the basketball = 1.22 m/s
therefore, the velocity of the basketball rolling off a 1.20 m high desk and strikes the floor 0.55 m away from the base of the desk is 1.22 m/s.
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a hand lens could be used to examine a(n)
Geologists use a tiny magnifying glass to examine rocks up close. In most cases, hand lenses have a 10x magnification and fold into sturdy metal housing.
Geologists can better see the textures and structures of rocks as well as minerals and fossils within them by using magnifying glass. In order to create a magnified image of an item, a magnifying glass is a convex lens. Usually, the lens is housed in a frame with a grip. A magnifying glass can be used to concentrate light and used by geologists, such as the sun's rays to produce a hot spot at the focal for lighting a fire.
Geologists are scientists who investigate the solid, liquid, and gaseous components of the planet Earth and other.
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A roll of toilet paper rolled of a horizontal roof with a velocity of 0.28 m/s. How long did it take to hit the floor if it fell 1.2 m away from the roof.
The time it takes the toilet paper to hit the floor with an initial velocity of 0.28 m/s is 4.29 s.
What is time?Time is the duration at which a event occurs.
To calculate the time it takes the toilet paper to hit the floor, we use the formula below.
Formula:
t = d/v........... Equation 1Where:
t = Timed = Distancev = VelocityFrom the question,
Given:
d = 1.2 mv = 0.28 m/sSubstitute these values into equation 1
t = 1.2/0.28t = 4.29 sHence, the time it takes the toilet paper to hit the ground is 4.29 s
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a carpenter tosses a shingle off a 9.4 m high roof, giving it an initial horizontal velocity of 7.2 m/s. what is the final vertical velocity of the ball? use g
a substance has a mass of 15g and a volume of 5cm3 calculate the density
Answer:
3g/cm3
Explanation:
Mass divided by volume = density.
15g / 5cm cubed = 3g/cm cubed
What is the best book about Mars?
Answer: The case of mars
Explanation: i would like you to read the case of mars as it explains everything about the planet and their livelihood and if humans can live there
Answer:
Mars: Our Future on the Red Planet
Explanation:
good book should read
What other objects in our solar systems might influence etiams movement as it travels through space? Why?
a block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. the coefficient of k. the coefficient of kinetic friction between the surface and the block is mu.
The question is incomplete, however [tex]1/2\kappa (\mu^2 m^2g^2/k)[/tex] is the potential energy stored in the spring.
of spring F=−kx
coefficient of kinetic friction F=μmg
At equilibrium, the mass and spring will both revert to their average positions.
so,−kx=μmg [tex]x=-\mu mg/k[/tex]
the potential energy stored the spring is
[tex]1/2kx^2=1/2k-\mu mg/k^2=1/2k(\mu^2m^2g^2/k)[/tex]
For short lengths, the force needed to extend a metal spring or other elastic item is exactly proportional to the length of the spring. Hooke's law describes the force the spring applies in reverse.Because the force applied by the spring is always in the opposite direction of the displacement, this force is known as a restoring force. The equation for Hooke's law contains a negative sign because of this. When a spring is pulled downward, it is stretched downward and produces an upward force.To know more about potential energy visit : https://brainly.com/question/13003361
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the power has gone out in your facility. you have a ups (uninterruptible power source) that protects your system and provides enough power to allow you to shut down safely. in this lab, your task is to immediately shut down the system using the command line.
Answer: Sorry I'm 5 days late but if you haven't gotten it, the answer is
shutdown -h now
Explanation:
-h specifies that the system halt or power off after shutdown
now forces the system to shut down without delay
(according to "4.5.4 Shutdown Facts")
In high-velocity automated decision making, humans are eliminated from the decision chain.
a. True
b. False
True, In high-velocity automated decision making, humans are eliminated from the decision chain.
The decision chain that governments must make in the extractive sector is what they must do in order to transform the natural resources found underground into improved development above ground. Paul Collier made this strategy well-known in his book The Bottom Billion by emphasizing the crucial steps to making sure that the riches of natural resources is converted into the wellbeing of citizens. Since then, this paradigm has served as a resource for other groups working on natural resource governance, including the World Bank, the Extractive Industries Transparency Initiative, and the Natural Resource Governance Institute (EITI). The process starts with the choice of whether to extract and involves decisions about how to distribute extraction rights, how to provide income and other advantages, and how to manage the income from extraction.
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How is kinetic energy different from potential energy? akinetic energy is stored energy that has the capacity to do work, and potential energy is the energy of motionbkinetic energy is energy that an object possesses as a result of its location, and potential is the same as heat energyckinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structuredkinetic energy can be created or destroyed, while potential energy cannot be created and destroyed
We will have that kinetic energy is different from potential energy as follows:
Kinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structure. [Option C]
what do we mean by the ptolemaic model? how did this model account for the apparent retrograde motion of planets in our sky?
The planets traveled on circles that orbited Earth in bigger orbits. The apparent retrograde motion of the planets was explained by this motion of "circle upon circle."
Ptolemy used eccentricity with an epicyclic model to account for the motion of the planets. Each planet in the Ptolemaic system circulates uniformly along a circular path known as an epicycle, with Earth at its center and around a larger circular path (deferent). The Ptolemaic System's central tenet was that the Sun and all other planets revolved or circled around the Earth, which served as the universe's center of gravity. Geocentric theories are those of the cosmos that place the earth at its center, like Ptolemy's. According to the Ptolemaic model, the moon, sun, stars, and other planets revolved or rotated around the earth, which was thought to be at the center of the universe. In this model, the globe was thought to revolve around itself.So, the planets traveled on elliptical orbits that encircled Earth in bigger radii.
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Two force sensors are connected together. One sensor is attached to a wall and the second sensor is pulled with a force of 100 N. What would the total force measured by the second force be?
The total force will be 100 N .
This is a use of Newton's Third Law, which states that "there is an equal and opposite reaction to every action." Only if the other end of the string applies a force of 100 N in the opposite direction can someone at one end of the string apply a force of 100 N to the other end.Imagine that If suspend a 1 kilogram load from a spring scale. This has a pulling force of about 100 N. Next, take the weight off the spring scale and fasten it to a wall. Pull the scale until 1 kilogram is displayed. The weight and gravity's downward force of 100 N was the same when it was dangling. Consider what would happen if the end of the thread was linked to one spring scale and a second spring scale was attached to the wall. The spring scale on the other end will display 1 kg when you pull one of them firmly enough to get it to register that weight. They represent equal forces acting in opposition to one another.
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1. Recall: What happened to the magnets that were brought close to each other. What type of force is this an example of?
Answer:
Explanation:
When two magnets are brought together, the opposite poles will attract one another, but the like poles will repel one another. This is similar to electric charges. Like charges repel, and unlike charges attract. Since a free hanging magnet will always face north, magnets have long been used for finding direction.
A football player runs directly down the field for 35 m before turning to the right at
an angle of 25 from his original direction and running an additional 15 m before
getting tackled. What is the magnitude and direction of the runner's total
displacement?
The displacement is 56.54 m in size.
The displacement is moving in the direction of the line that connects the two vectors.
What is a displacement example?For instance, if an object shifts from location A to position B, its position changes. Displacement is the term used to describe this shift in an object's position.
The line that connects the beginning and final positions of the vectors is always the resultant displacement.
Formula yields the resultant vector.
AB^2 = BC^2 + 2ABBC Cos∅
the equations' values are substituted,
AC^2 = 35^2 + 15^2 x 35 15 x Cos 25' = 56.54
Consequently, the displacement's size is 56.54 m.
The displacement is moving in the direction of the line that connects the two vectors.
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a potential difference of 2.0 v is applied across a wire of cross-sectional area 2.5 mm2. the current which passes through the wire is 3.2 x 10-3 a. what is the resistance of the wire?
The wire has a resistance of 635 ohm.
Describe resistance.
A force that opposes the flow of current is known as electrical resistance, also known as resistance to electricity. It serves as a barometer for how challenging current flow is in this way. Resistance values are expressed in ohms ().
When there is an electron difference between two terminals, electricity will flow from high to low. In opposition to that flow is resistance. As resistance rises, the current declines. The current rises as the resistance falls, which is also true.
1. V = 2 V, I = 3.2 * 10-3 A, and area = 2.5 mm2 are all possible differences.
Resistance is calculated by dividing the potential difference across the wire by the current flowing through it, which results in a value of 2/(3.2*10-3) = 625 ohm.
2. Two resistors R linked in parallel have an equivalent value of R2/2R, or R.
The net equivalent resistance is equal to 2R + R/2 = 5R/2 when this is connected in series with a resistor of resistance 2R.
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13. Look at the photo of the penguins sliding on the frozen ground. Use Newton's first law of motion to explain the motion of the penguins. Emperor penguins slide on the frozen ground in An
The sum of the forces exerted on an object must be zero since, in accordance with Newton's first law of motion, an object moving at a constant speed experiences no net external force. F net = 0 F net = 0 or F = 0 are two ways to express mathematically that an object is not being affected by any net external forces.
What is the first law of motion, according to Newton?First Law of Newton: Inertia
According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.
He second equation swaps out p for mv since p=mv. V stands for the object's speed, t stands for time, and F stands for force.
Newton's second law of motion uses the inertia formula "Force = Mass * Acceleration" to describe this phenomena and property. According to the formula, heavier objects need greater force to modify their acceleration.
Newton's first law is demonstrated by the motion of a ball falling through the atmosphere or by the firing of a miniature rocket into the atmosphere. The first law can also be used to explain how a kite moves as the wind changes.
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please help thanks :)
The distance travelled by the car after the first four hours of the trip is 370 km and the average speed for the first four hours of the trip is 92.5 kmph
v ( t ) = d ( t ) / t
v ( t ) = Velocity with respect to time
d ( t ) = Distance with respect to time
t = Time
For the first four hours, the following details are taken from the graph shown.
d ( 4 ) = 370 km
t = 4 hr
v ( 4 ) = 370 / 4
v ( 4 ) = 92.5 kmph
Average velocity can also be calculated using the formula V = ( u + v ) / 2 if the initial and final velocities are given. u represents initial velocity and v represents the final velocity.
Therefore,
Distance travelled in first 4 hours = 370 km
Average speed in first four hours = 92.5 kmph
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calculate the capacitance in a system with a cross-sectional area of 150 mm2 , a dielectric constant of 8, and a dielectric thickness of 0.2 mm
The Capacitance is 1.41x10^-11 farad
What is capacitance?
The ability of a material object or device to store electric charge is referred to as capacitance. It is defined as the change in charge as a result of a difference in electric potential, expressed as a ratio of those quantities.
Given;
A = 150mm2
= 150 x(10^-3)2
= 150x10^-6
Eo= 8.854x10^12 f/m
Dielectric constane, K =8
thickness, d = 0.2 mm
= 0.2 x 10^-3
Capacitance ,
C = KAEo/d
= 8x 150 10^-6x 8.854x10^-12/0.2x10^-3
= 1.41x10^-11 farad
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if you weigh 660 n on the earth, what would be your weight on the surface of a neutron star that has the same mass as our sun and a diameter of 16.0 km ? take the mass of the sun to be ms
The weight on neutron star is 5.27N
What is neutron?
The neutron is indeed a subatomic particle with the symbol n or n0 that is slightly heavier than a proton and has a neutral charge (one that is neither positive nor negative). Atomic nuclei consist of protons and neutrons. Protons and neutrons are both referred to as "nucleons" because of how similarly they behave inside the nucleus and because they both have masses that are roughly equal to one atomic mass unit. Nuclear physics explains their interactions and characteristics. Each proton and neutron is made up of three quarks, so they are not fundamental particles. The arrangement of electrons around an atom's heavy nucleus largely determines its chemical properties. The number of protons, or atomic number, determines the charge of a nucleus, which determines the electron configuration.
We know;
W = m.gn
g = Gm/r^2
= 6.674/m^3kg/s^2
Wn = 6.674(6.674x1.944/660)
= 5.27N
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A position versus time graph represents the motion of two objects. The line for object one has a steep slope and the line for object two has a shallow slope. Which object is moving faster?
Graph - Object one is moving faster than object two.
Graph:
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph. Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below. Each supply is first counted, and the data is then shown in a table with specific colours in a logical order.
Object one is moving faster than object two. This can be determined by looking at the slope of the lines on the graph. The steeper the slope, the faster the object is moving. In this case, object one has a steeper slope, meaning it is moving faster.
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A model airplane with mass 1.3 kg hangs from a rubber band with spring
constant 20 N/m. How much is the rubber band stretched when the model
hangs motionless?
A. 0.64 m
B. 0.082 m
C. 0.23
OD. 0.78 m
SUBMIT
When pulled, springs apply a restoring force, according to Newton's Third Law of Motion. Hooke's Law governs the relationship between the spring force, spring constant, and spring displacement.
Rubber band stretched x = F/k = 12.74 / 20 =0.64 m
What is the Hooke's law ?Hooke's law is a law of elasticity discovered by the English scientist Robert Hooke in 1660 that states that the displacement or size of a deformation is directly proportional to the deforming force or load for relatively small deformations of an object.It is the fundamental principle underlying the manometer, spring scale, and clock balance wheel. Hooke's law is the underlying principle of seismology, acoustics, and molecular mechanics.When pulled, springs apply a restoring force, according to Newton's Third Law of Motion. Hooke's Law governs the relationship between the spring force, spring constant, and spring displacement.The weight of the airplane hanging from the rubber band is given by the product between its mass (1.3 kg) and the acceleration due to gravity (g=9.8 m/s^2):
W = mg = 1.3* 9.8 = 12.74 N
This is the force that stretches the rubber band, according to Hooke's law:
F= kx
where
k = 20 N/m is the spring constant
x is the stretching of the spring with respect to its equilibrium position
Substituting F = 12.74 N and re-arranging the formula, we get:
x = F/k = 12.74 / 20 =0.64 m
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Which of the following units is a derived si unit (not one of the si base units)?
a. meter
b. kilogram
c. second
d. (newton)
Kilogram is the derived SI unit. Mole is NOT a subunit. Mole is one of the seven fundamental units. It is the SI base unit of substance amount.
The remaining six units are the second (time), the metre (length), the kilogram (mass), the ampere (current), the kelvin (temperature), and the candela (luminous intensity). The derived units are named after scientists, such as the hertz, watt, and coulomb. These units are denoted by the letters Hz, W, and C. Aside from meters per second, derived units include cubic meters and joules per kelvin. SI has seven base units upon which all others are based. The fundamental units are mass, length, time, temperature, substance amount, electric current, and luminous intensity.
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how do spectra show the difference between a type i supernova and a type ii supernova? why does this difference arise?
Supernovas are divided into types I and II because of the presence of hydrogen in the spectrum, that is, the light emitted in a given time.
What is a solar system?It is a system that collection of all the planets and spatial bodies revolving around the sun because of the gravitational pull of the sun.
A type I supernova is one that mostly occurs in binary star systems with a white dwarf star as one of the stars.
Type II supernova: A star must be at least many times as massive as the sun in order to erupt as a Type II supernova.
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a 100kg crate is set on a 30 degree ramp that possesses some friction. How much friction is required to cause the crate to stick and not slide?
Answer: 490 N
Explanation:
The _____ of an object is the time derivative of _____. Equivalently, it is the second time derivative of _____.
The acceleration of an object is the time derivative of velocity. Equivalently, it is the second time derivative of displacement.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
The acceleration of any object = derivative of the velocity of the object with reference to the time
The velocity of any moving body = derivative of the displacement of the object with reference to the time
Thus, the acceleration of an object is the time derivative of velocity. Equivalently, it is the second time derivative of displacement.
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which describes the direction of the electric field and electric force (on an electron) in a hall effect experiment?
The force points in the opposite direction of the field, from high potential to low potential.
What is electric field ?Each point in space has an electric field associated with it when there is charge available in any form. The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
What are the characteristics of an electric field?The field lines never overlap one another. The surface of the charge and the field lines are perpendicular. The number of field lines and the charge size are proportionate.
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