1. Two forces of 7 lb. and 14 lb. act on a body at right angles to each other. Find the angle their resultant force makes with the force of 14 lb.
2.A velocity of 30 mph is resolved into two components, each of which makes an angle of 45 with it. Find their magnitude.
1. The resultant force is equivalent to the hypotenuse of the triangle formed by the component forces, and the angle between the result and each component is found with trig based on that premise. You're looking for the angle formed by the hypotenuse and the longer of the two sides, so the larger component is used as the adjacent side and the smaller as the opposite side. So the angle is given by the inverse tangent of 7/14, or equivalently of 1/2.
Answer:
1. 26.6°
2. 21.2 mph each
Explanation:
1. When two forces are acting perpendicular to each other, then their resultant is given by:
R = √(F²+F'²+ 2 F F' cosθ) =√(7²+14²+ 2×7×14 cos 90°) = 15.65.
Angle between two vectors can be found using law of sines:
[tex]\frac{sin A}{a}=\frac{sin B}{b}=\frac{sin C}{c}[/tex]
We have to find the angle (Ф) opposite side 7 lb force i.e. angle between Resultant and 14 lb force.
[tex]\frac{sin 90}{15.65}=\frac{sin \phi}{7} \Rightarrow \phi = sin^{-1} \frac{7}{15.65} = 26.6^o [/tex]
2.
Let the components of velocity be v and v'
Because each component makes an angle 45° with the resultant, it can be found as:
v = 30 cos 45° = 21.2 mph
v' = 30 cos 45° = 21.2 mph
Both the components would be equal in magnitude.
In deep space there is very little friction once they are launched into a probe into deep space where there are no external forces acting on it scientists shut the probe's engines off because the scientists want the probe to
Answer:
move at a constant velocity
Explanation:
When the friction is present the engine helps move the probe by constantly doing work against the friction. But when the friction is absent then there is no need for the engine to work all the time. According to newton's first law, no object can change its state of rest or uniform motion with constant velocity without an external force. When the engine is shut off, the probe will continue to move at a constant speed due to inertia.
What is the lewis dot structure of Na+
The Lewis dot structure for Na+ shows no dots, signifying the loss of its only valence electron and hence its positive charge.
Explanation:The Lewis dot structure of a sodium atom (Na) includes one dot to represent each of its valence electrons. An uncharged sodium atom has equal numbers of protons and electrons (11). However, essentially when sodium becomes an ion (Na+), it loses a valence electron, and thereby, ends up with one more proton (11) than its electrons (10) - making it a cation with a positive charge. The Lewis dot structure for Na+ would therefore have no dots as sodium (Na) has lost its only valance electron during ionization.
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Which statement expresses the relationship between frequency and wavelength of all types of electromagnetic waves?
They are directly proportional to each other
They do not influence each other
they are inversely proportional to each other
They are equal to eachother
For Plato the answer is (they are inversely proportional to each other)
Thanks Taylor! Here is proof, I'm on Plato fyi.
Calculate the change in potential energy of 8,000,000 kg of water dropping 50.0 m over Niagara Falls
What simple machines would move or turn an object?
Question 3 options:
wheel and axle
lever
screw
wedge
Compared to gamma rays, X–rays have relatively
less energy and short wavelengths.
more energy and short wavelengths.
less energy and long wavelengths.
more energy and long wavelengths.
Which statement is true about black dwarfs?
A. None currently exist in the universe.
B. They are very hot and massive.
C. They burn brightly for only a few weeks or months.
D. They form after supernova explosions. ...?
Answer:
A. None currently exist in the universe.
Explanation:
It is true that the black dwarfs will be burn brightly for only few weeks or months, and they are going to be very hot and not so massive, and it is going to appear after a white dwarf, but by now, there is just a theory that scientist use, because there is any observation of them.
P waves and S waves are alike in that they __________.
travel in the same manner
travel through solids
compress particles of solids
twist and distort solid objects
Sav
travel through solids
P waves and S waves are alike in that they both travel through solids.
Explanation;P-waves and S-waves are types of seismic waves. These waves are produced during an earthquake, that transmit energy released around the earth.P-waves travel the fastest and also travel through solids, liquids and gases. They are push and pull waves and thus they cause rock particles to move back and forth. S-wave son the other hand arrive at a given point after the p-waves. They do not travel as fast as P-waves. They travel through solids but not in liquids and gases. S -waves cause the rocks to move side to side.P waves and S waves are alike in that they both travel through solids.
The correct option is option (2).
P waves and S waves are both seismic waves generated during earthquakes. They both travel through solids, such as the Earth's interior.
However, P waves are longitudinal waves that compress and expand particles parallel to the wave's direction, while S waves are transverse waves that displace particles perpendicular to the wave's direction.
P waves generally travel faster than S waves and arrive at seismic stations before S waves. These waves provide valuable information about the nature of earthquakes and the Earth's interior.
Therefore, P waves and S waves are alike in that they both travel through solids. The correct option is option (2).
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How big is a ton? That is, what is the volume of something that weighs a ton? To be specific, estimate the diameter of a 1-ton rock, but first make a wild guess>: will it be 1 ft across, 3 feet, or the size of a car? (Hint: Rock has mass er volume about three times that of water, which is 1 kg per liter(10^3cm^3) or 62lb per cubic foot) ...?
A 1-ton rock, assuming a roughly spherical shape and a density of rock three times that of water, would be approximately 2.82 feet in diameter, based on weight-volume relationships and the formula for the volume of a sphere.
Explanation:To calculate the size of a 1-ton rock, we must use density. Given that the density of rock equals three times the volume of water, we will use the approximation that rock weighs about 168 pounds per cubic foot (62lb/cubic foot * 3).
A ton, in American usage, is 2000 pounds. So, a cubic foot of rock weighs around 168 pounds. Therefore, a 1-ton rock would be about 2000/168 ≈ 11.9 cubic feet in volume.
To convert volume (in cubic feet) to diameter (assuming a spherical rock), we use the formula for the volume of a sphere, V= 4/3πr³. In this case, we can rearrange the formula to solve for diameter: D= [(6V)/π]^(1/3).
For our 1-ton rock, the diameter, D = [(6*11.9)/π]^(1/3) ≈ 2.82 feet, which is less than 3 feet but more than 1 foot. So, a 1-ton rock would be around 2.82 feet in diameter.
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Plastic is used to cover electrical cords. This indicates that plastic is a(n) ________.
A. conductor
B. plasma
C. form of energy
D. insulator ...?
Answer:
D) INSULATORS
Explanation:
electrical chord are the medium to travel electric current
so here it is always covered so that it is not dangerous to surrounding.
So in order to cover it we know that we need a material which will not allow that current to pass through the body of the person who is holding the wire
so such material which do not allow the electric current to pass through them is known as insulators
so here correct answer would be
D) INSULATORS
Which of the following has the highest viscosity? A. corn syrup B. milk C. water D. orange juice
Viscosity refers to a liquid's resistance to flow. Among the options provided, corn syrup has the highest viscosity as it flows slower compared to milk, water, and orange juice.
Explanation:The question asks which of the following substances has the highest viscosity: corn syrup, milk, water, or orange juice. Viscosity refers to a liquid's resistance to flow, with substances that flow slowly having high viscosity and those that flow quickly having low viscosity. Based on this, the substance with the highest viscosity in the options is corn syrup.
For a better understanding, let's compare this with the provided examples like honey and motor oil, which have high viscosities because they flow slowly. The situation is similar with corn syrup. On the contrary, liquids like orange juice, milk, and water flow relatively quickly and freely, indicating lower levels of viscosity compared to that of corn syrup.
Therefore, among milk, water, orange juice, and corn syrup, corn syrup has the highest viscosity.
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Duncan knows that it takes 36400 cal of energy to heat a pint of water from room temperature to boiling. However, Duncan has prepared ramen noodles so many times he does not need to measure the water carefully. If he happens to heat 0.600 pint of room-temperature water, how many kilojoules of heat energy will have been absorbed by the water at the moment it begins to boil?
high frequency sound waves have a shorter wavelength and a higher A. amplitude B. pitch C. wavelength? than low frequency sound waves
Answer:
its B
Explanation:
Which of these properties of a star best determines whether it would end up as a white dwarf, neutron star, or black hole?
mass
density
brightness
temperature
The correct answer to the question is : Mass i.e mass is the property that determines the formation of black hole,neutron star or white dwarf after the end of a star.
EXPLANATION:
Before going to answer this question, first we have to understand Chandrasekhar limit.
It is the Chandrasekhar limit which gives an idea about the formation of white dwarf, neutron star, or black hole at the last stage of a dying star.
The Chandrasekhar limit is equal to 1.4 solar masses.
As per Chandrasekhar limit, if the mass of the dying star is less than 1.4 solar mass, then it will become a white dwarf.
If the mass of the dying star is greater than 1.4 solar mass, then a neutron star or black hole is formed.
Hence, the correct answer of this question is mass.
If a boulder has a mass of 50 kg and a potential energy of 490 j what is the height of the boulder
A light-year is the distance light travels in one year, at a speed = 2.998 x 10^8 m/s.
(a) How many meters are there in 1.00 light years?
(b) An AU is the average distance from the Sun to the Earth, 1.50 x 10^8 How many AU are there in 1.00 light-year?
(c) What is the speed of light in AU/h? ...?
A light-year, being the distance light travels in a year, is about 9.461 x 10^15 meters. 1.00 light-years equals 63,240 astronomical units (AU). And the speed of light is around 7.214 AU/hr.
Explanation:In astronomy, a light-year and an astronomical unit (AU) are common units of measurement.
(a) A light-year is defined as the distance that light can travel in a year. The speed of light = 2.998 x 10^8 m/s and a year has approximately 3.1536 x 10^7 seconds. Therefore, to get the distance, we multiply the speed of light by the number of seconds in a year which equals 9.461 x 10^15 meters. (b) An AU is defined as the average distance from the Sun to the Earth, about 1.50 x 10^8 meters. To convert light years to AU, we divide the distance of one light year in meters by the distance of one AU in meters, which gives about 63,240 AU in 1.00 light-year. (c) To calculate the speed of light in AU/h, we assume the value of one AU as 1 and then calculate the speed of light in distance covered per hour. Since light travels at about 63,240 AU in one year, a year has approximately 8760 hours so we get approximately 7.214 AU/h. Learn more about Astronomy here:
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One light-year equals approximately 9.461 x 10^15 meters. There are about 63,000 AUs in one light-year. The speed of light is roughly 7.2 AU/h.
Explanation:A light-year is the distance light travels in one year. To find out how many meters there are in 1.00 light-year:
The speed of light, c, is 2.998 x 10^8 meters per second (m/s).There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and approximately 365.25 days in a year. So, one year has 60 x 60 x 24 x 365.25 = 31,557,600 seconds.Multiplying the speed of light by the number of seconds in a year gives the distance for one light-year in meters: 2.998 x 10^8 m/s x 31,557,600 s/year ≈ 9.461 x 10^15 meters.To calculate how many Astronomical Units (AU) are there in 1.00 light-year:
1 AU is the average distance from the Sun to the Earth, which is about 1.50 x 10^11 meters.To find out how many AUs are in one light-year, you divide the number of meters in one light-year by the number of meters in one AU: 9.461 x 10^15 meters / 1.50 x 10^11 meters/AU ≈ 63,000 AU.To find the speed of light in AU/h:
First, convert the speed of light to km/s, which is about 3 x 10^5 km/s.Since 1 AU is equal to 1.50 x 10^8 km, the speed of light in AU/s is 3 x 10^5 km/s / 1.50 x 10^8 km/AU = 2 x 10^-3 AU/s.There are 3600 seconds in an hour, so the speed of light in AU/h is 2 x 10^-3 AU/s x 3600 s/h = 7.2 AU/h.Learn more about Light-year here:https://brainly.com/question/31566264
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Sam is observing the velocity of a car at different times. After two hours, the velocity of the car is 50 km/h. After six hours, the velocity of the car is 54 km/h.
Part A: Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times. Show your work and define the variables used.
Part B: How can you graph the equation obtained in Part A for the first six hours?
A golfer is enjoying a day out on the links
Explain the steps of the life cycle of a star. Beginning with a nebula and ending with old age/death of a star, explain each step in a star’s life cycle
An object of mass 5 kg weighs 30 N on planet Z. The acceleration due to gravity on planet z is?
a) 30 m/s^2 b) 10 m/s^2 c) 6 m/s^2 d) 0.17 m/s^2 e) 150 N
A 0.75-kg ball is attached to a 1.0-m rope and whirled in a vertical circle. The rope will break when the tension exceeds 450 N.What is the maximum speed the ball can have at the bottom of the circle without breaking the rope? ...?
Describe a compression and a rarefaction of a sound wave traveling through air.
The portion of a longitudinal wave where the atoms are closest to one another is called compression. A rarefaction is an area in a longitudinal wave in which the atoms are the furthest distance from one another. Compression refers to the process of compressing a media, and rarefaction refers to the process of spreading a form of media out.
What is Sound?Sound is a mechanical disruption from an equilibrium position that travels through an elastic medium of material. It is also possible to define sound solely subjectively, as that which is regarded by the ear, but this definition lacks clarity and is overly constrictive because it is useful to talk about sounds that are manufactured by devices other than the human ear, such as dog whistles and sonar machinery, which cannot do hear by human ear.
The features of sound waves must be examined first in any study of sound. Transverse and longitudinal waves are indeed the two fundamental forms of waves, and they vary by the direction in which they move.
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If a substance absorbs energy but its temperature does not change, then the internal_______ energy is changing.
A.kinetic
B.potential
Answer:
If a substance absorbs energy but its temperature does not change, then the internal POTENTIAL energy is changing.
Explanation:
As we know that the internal energy of the molecules in terms of their kinetic energy is directly related to the temperature of the gas
Here we know that
[tex]KE = \frac{3}{2}nRT[/tex]
so if the energy is transferred in the form of kinetic energy of the molecules then it will increase the temperature of the gas
so here it says that the substance absorbs the energy but its temperature does not change then it means the kinetic energy of the gas will remain constant
So this energy will convert into its potential energy
so correct answer will be
If a substance absorbs energy but its temperature does not change, then the internal POTENTIAL energy is changing.
A divot is created _____.
when someone digs their heels into the green
when someone digs their heels into the fairway
when shot scrapes off the top of the turf
when someone shoves the club into the green
Answer: when shot scrapes off the top of the turf
Explanation: Divot is a term used in golf, where "Divot" is the piece of turf that is "cuted" out of the ground when the player tries to hit the ball.
Usually, the Iron or the Wedge are the ones that cause the divots, and while it may seem like a poor technique, it is actually pretty a common thing to see. At the point that in some cases, the divot itself is analyzed to see the technique of the player.
The correct option is the third one: "when shot scrapes off the top of the turf"
Two charged objects of +2Q and +1Q are placed a distance d from one another. The force between the objects in measured as 2F. If the charge on BOTH objects id doubled, what will the force between them be?
How is the ionization energy, E, related to a group of elements?
A. E decreases from left to right.
B. E decreases from right to left.
C. E decreases from top to bottom.
D. E decreases from bottom to top.
How is the ionization energy, E, related to a group of elements?
A. E decreases from left to right.
B. E decreases from right to left.
C. E decreases from top to bottom.
D. E decreases from bottom to top.
E decreases from top to bottom in a group of elements.
What is the distance from rest to crest, or from rest to trough, called?
When an electric current is passed through water during the process of electrolysis, two gases are formed. One gas has a boiling point of -183 degrees celsius and the other has a boiling point of -253 degrees celsius. Has a physical change or a chemical change occurred? Explain.
Match each item to its best description.
A.solar nebula
planets orbit a star
B.accretion disk
gas and dust spins
C.solar system
large cloud of gas and dust
The terms 'solar nebula', 'accretion disk', and 'solar system' relate to the stages of formation and structure of planetary systems, with the solar nebula being the initial gas and dust cloud, the accretion disk the rotating material forming planets, and the solar system the final collection of celestial bodies orbiting a star.
Explanation:The student's question involves matching items with the best descriptions related to the formation and structure of astronomical systems:
Solar nebula - A large cloud of gas and dust that eventually forms a solar system. This nebula collapses due to gravity, leading to the formation of a central star and surrounding planets.Accretion disk - A rotating disk of gas and dust found around a newly formed star, where the material coalesces into planetesimals and eventually into planets and other celestial bodies.Solar system - A collection of planets and other celestial bodies orbiting a star, all of which have formed from the collapsing solar nebula.Moreover, the activities suggested in the question focus on investigating various astronomical phenomena such as planetary nebulae and protoplanetary disks, which are critical to understanding star and planet formation.
To match each item to its description, A corresponds to 'a large cloud of gas and dust,' B corresponds to 'gas and dust spins' (accretion process), and C corresponds to 'planets orbit a star' (structure of a solar system).
Explanation:To match each item to its best description:
A. Solar Nebula - A large cloud of gas and dust from which a solar system forms.B. Accretion Disk - A rotating disk of gas and dust, typically found around a newly formed star, where planets can form through accretion.C. Solar System - A collection of planets, moons, asteroids, comets, and other objects that orbit around a central star.The subject matter involves the physical and chemical changes during the solar nebula stage of solar system formation, the process by which terrestrial and giant planets form, and the events in the further evolution of the solar system.