Newton’s first law of motion states that "an object at rest will stay at rest, and an object in motion will stay in motion, unless acted on by an unbalanced force.
It is possible to consider Newton's first law to be the law of inertia. It helped us realise that when a body is at rest, it will remain at rest until an external force is applied to it, or if a body is travelling at a constant speed, it will stay moving until an external force is applied.
Only when net force is applied will a body move from its resting position. An illustration of this law can be seen when a passenger in a car fastens their seat belt. Both stationary and moving objects are covered by this law.
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light of 550 nm wavelength shining on a specific metal surface causes an electron to be ejected from that metal surface, but light of 560 nm wavelength does not cause an electron to be ejected. what can truthfully be said based on these facts?
When light with a wavelength of 550 nm shines on the provided metal, an electron is released from it, but not when light with a wavelength of 560 nm does so.
What is wavelength?Whether a waveform signal travels over space or along a wire depends on its wavelength, which is the separation between two identical spots (adjacent crests) in subsequent cycles.
We know that;
Energy of electron e=hμ
∵ μ= c/λ
So ; e= hc/λ
Here h and c are constant so;
e ∝ 1/λ
Based on this ratio, we may conclude that:;
Less energy is released when the wavelength is larger, or vice versa.
Therefore, when light with a wavelength of 550 nm shines on the specified metal, an electron is released from it, but not when light with a wavelength of 560 nm does.
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A ball is dropped from a height of 20m and rebounds with a velocity, which is 3/4 of the velocity with which it hits the ground. What is the time interval between the first and the second bounces?
Answer:
H = 1/2 g t^2 calculate time to reach ground
t = (2 H / g)^1/2 = (2 * 20 / 9.8)^1/2 = 2.02 sec
V1 = a t = 9.8 m/s^2 * 2.02 sec = 19.8 m/s original speed
V2 = 19.8 * .75 = 14.85 m/s speed of rebound
t2 = V2 / g = 14.85 / 9.8 = 1.51 sec time to get back to top
T = 2 * t2 = 3.02 sec time in air after 1st bounce
water flows through a 4.0-cm-diameter horizontal pipe at a speed of 1.3 m/s. the pipe then narrows down to a diameter of 2.0 cm. part a ignoring viscosity, what is the pressure difference between the wide and narrow sections of the pipe? ignoring viscosity, what is the pressure difference between the wide and narrow sections of the pipe? 850 pa 3400 pa 9300 pa 12700 pa 13500 pa
The pressure difference between the wide and narrow sections of the pipe is 12.675 kPa.
Fluid pressure is the size of the force in keeping with a unit place on an object inside the fluid or on the surface of a closed field. This pressure may be resulting from gravity, acceleration, or by means of forces outside a closed container. in view that fluid has no specific shape, its pressure applies in all directions.
Pressure is defined as pressure carried out in line with the unit vicinity. Mathematically it is given by way of, P=FA. wherein F is the pressure performing perpendicular to the surface place A. the same old unit of pressure is the pascal (Pa), equivalent to at least one newton according to meter squared (N/m 2 ).
A1 v1 = A2 v2 ;
v1 / v2 = A2 / A1 ;
1.3 / v2 = ( 2 / 4 ) ^2 ; since area is proportional to diameter square :
v2 = 5.2 m /s
Using bernouli principle ,
P1 + ρ v1^2 / 2 = P2 + ρ v2^2 / 2 ;
P1 + 1000 * 1.3^2 / 2 = P2 + 1000 * 5.2^2 / 2 ;
ΔP = 12675 Pa
or ΔP = 12.675 kPa
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. a diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. calculate the magnification.
A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be -12.833 cm
diverging lens = concave lens
focal length = - 33 cm
u = - 21 cm
magnification = image distance / object distance
using lens formula
1/v - 1/u = 1/f
1/v = 1/f + 1/u
= 1/-33 -1/21
v = -12.833 cm
A diverging lens has a focal length that has a magnitude of 33.0 cm. an object is placed 21.0 cm in front of this lens. The magnification will be -12.833 cm
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a chemist makes 100. ml of sodium thiosulfate working solution by adding distilled water to 30.0 ml of a 0.662 mol/l stock solution of sodium thiosulfate in water
By adding solvent, a stock solution is transformed into a diluted solution. Therefore, 80.9 mL of Na2S2O3 stock solution are required.
What are the features of sodium thiosulfate?It is odourless and appears white and crystalline when solidified. 1.667 grammes per cubic centimetre is the density of sodium thiosulfate. This salt has a melting point of 321.4 K and a boiling point of 373 K in its pentahydrate form. Crystals of Na2S2O3 have a monoclinic crystal structure.A 2:1 ratio of sodium and thiosulfate ions make up sodium thiosulfate, an inorganic sodium salt. It functions as a nephroprotective agent, a cyanide poisoning antidote, and an antifungal medication.An invisible chemical substance is sodium thiosulfate 30% Solution. An invisible chemical substance is sodium thiosulfate 30% solution (Na2S2O3). Our ultra pure SO2, which enables a specific specification and a range of options, is the source of our on-purpose STS.To learn more about sodium thiosulfate refer to:
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The ability of a covalently bonded atom to attract the shared electrons is called.
Electronegativity is the ability of covalently bonded atom to attract the shared electrons .
What is covalent bond ?
Covalent bond, in chemistry, an interatomic bond formed by sharing a pair of electrons between two atoms. Bonding occurs through the electrostatic attraction of atomic nuclei to the same electrons. A covalent bond is formed when the combined atoms have a lower total energy than the atoms separating them. Covalently bonded molecules include the inorganic substances hydrogen, nitrogen, chlorine, water, and ammonia (H2, N2, Cl2, H2O, NH3) and all organic compounds. In structural representations of molecules, bonds are indicated by solid lines connecting pairs . Covalent bonds are directional. That is, the bonded atoms prefer a particular orientation to each other. This gives the molecule a particular shape, like the angled (bent) structure of the H2O molecule.
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The basic requirement for a cloud to collapse to form a star is that __________.
Answer:
Explanation:
The interstellar gas cloud will remain in hydrostatic equilibrium as long as the kinetic energy of the gas pressure is in equilibrium with the potential energy of the internal gravitational force.
To maintain equilibrium, the potential gravitational energy must be twice the internal thermal energy. If the cloud is so massive that the gas pressure is insufficient to maintain it, the cloud undergoes gravitational collapse.
describe the path created by time safari inc. what is the purpose of this path? 4. what might happen if someone steps off of the path?
What is path?
Distance is the term used to describe how far an automobile will go to get from one place to another; it is also referred to as the path length. If it chooses the shortest route, though, it becomes the displacement. A car's displacement is sometimes defined as the difference between its original and final positions.Everywhere we turn, we can see things moving. Children play, birds soar, animals forage for food, people stroll or run, cars speed down the highway, rivers flow, etc. In essence, motion exists everywhere in the cosmos.However, The body's actual path length between its initial and final positions is known as the path length.
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in order to generate a torque of 2.5 n-m, what magnitude of force must be applied at a perpendicular distance of 0.8 m from the axis of rotation?
In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation
torque = Force * distance from the axis of rotation
given
torque = 2.5 Nm
distance from the axis of rotation (d) = 0.8 m
Force = torque / d = 2.5 / 0.8 = 3.125 N
In order to generate a torque of 2.5 n-m , 3.125 N force must be applied at a perpendicular distance of 0.8 m from the axis of rotation
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a 6.30-g lead bullet traveling at 500 m/s is stopped by a large tree. if half the kinetic energy of the bullet is transformed into internal energy and remains with the bullet while the other half is transmitted to the tree, what is the increase in temperature of the bullet?
The conservation of energy allows to find the result for the change in temperature of the bullet is ΔT = 195ºC.
What is temperature?
Temperature is the measure of the average kinetic energy of the particles that make up a substance. It is measured in various units, such as Celsius, Fahrenheit, Kelvin, and Rankine. Temperature is related to the amount of energy in a system, and it can be increased or decreased by adding or removing energy. In the absence of energy, the temperature of a system will remain constant. Temperature is an important factor in many physical and chemical processes, such as the rate of chemical reactions, the movement of particles, and the rate of evaporation. It also affects the properties of many materials, such as the hardness of metals and the melting and boiling points of liquids. Temperature is an important part of the Earth's climate, as it affects air pressure, wind patterns, and other atmospheric conditions. In addition, temperature plays an important role in biology, as it affects the growth and development of living organisms.
Given parameters
Mass of the bullet m = 5 g = 5 10-3 kg
Bullet velocity v = 300 m / s
Half of the energy is transformed into internal energy in the bullet.
Specific heat lead ce = 128 J / kg ºC
To find
Bullet temperature change.
The conservation of energy is an important law of conservation of physics, stable that energy cannot be created, not destroyed only transformed.
Let's look for the mechanical energy of the bullet that is totally kinetic.
Em = K = ½ m v²
Em = ½ 5 10-3 (300) ²
Em = 2.25 10² J
They indicate that half is transformed into internal energy.
U = Em / 2
U = 2.25 10² / 2
U = 1.25 10² J
The energy is
U = Q = ΔT=
Let's calculate.
ΔT = 1.95 10²
ΔT = 195ºc
In conclusion using the conservation of energy we can find the result for the change in temperature of the bullet is:
ΔT = 195ºC
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The change in temperature is 480.76 173.077 degree C
What is specific heat capacity?
The amount of heat (J) absorbed by a substance per unit mass (kg) as its temperature rises by 1 K (or 1 °C) is known as the specific heat capacity.
The kinetic energy of the bullet, KE = (1/2) m v^2
= (1/2) * 6.3 * 10^(-3) * (500)^2
=787.5 J
The amount of heat, Q, available = (1/2) KE
=393.75 J
If c is the specific heat capacity and dT is change in temperature then, Q = msdT
dT = Q/(m s)
= 393.75 / (6.3* 10^-3 * 0.13*10^3*)
= 480.76 173.077 degree C
Therefore, the change in temperature is 480.76 173.077 degree C
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a rigid rod of length and mass has small point like masses and attached as shown. here 0.08 kg, 0.6 m. the rod is spinning in a horizontal plane about a vertical axis passing through the smaller mass . the linear speed of mass is 2.5 m/s. find the angular momentum of the rod and masses system with respect to the point on the fixed axis that intersects with the rod.
The angular momentum of the rod and masses system is 2.5 ms.
Angular momentum is the rotational analog of linear momentum. it is an essential bodily quantity due to the fact it is a conserved amount—the entire angular momentum of a closed device remains constant. Angular momentum has both a route and a value, and both are conserved.
Angular momentum is defined as The property of any rotating item given via second of inertia instances angular velocity. it's far the property of a rotating frame given with the aid of the made of the instant of inertia and the angular pace of the rotating item.
Calculation:-
The moment of inertia of the system about the basics is,
I e mos + (2m) [2 = me+ 2m22 3
= 7(0-0819) 0.6m) 2
= 0.0672 LG. ma ✓
= 2.5 ms
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arthur is 4 years old and can clearly indicate that two containers of the same size, filled to the same level, hold the same amount of liquid. however, when the liquid from one of the containers is poured into another that is skinnier and taller, arthur indicates that this new container now holds more liquid than the other. what principle has he failed to understand? group of answer choices object permanence accomodation physics conservation
Arthur has failed to understand the Conservation concept. In general, children learn the seven Piagetian tasks in this order: number (typically mastered by age 6), length, liquid, mass, area, weight, and volume (usually acquired by age 10).
Studies that are cross-sectional gather information from many people of the same age and compare it to data from participants who are older or younger and, consequently, at different stages of development.
This calls for protecting the environment's natural resources so that future generations will still be able to use them, for example by halting habitat destruction and overexploitation. Conservation boosts environmental diversity by preventing the extinction or extinction of organisms. Therefore, scientists are worried about conservation.
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How much work is done if a 50.0N force is applied on an object opposite to the direction of motion while the object slides 3.00 m across the floor?
A) 150.J
B) -16.7J
C) 16.7J
D) -150.J
The work done by the force of 50 N on an object opposite to the direction of motion is equal to -150 J. Therefore, option (D) is correct.
What is the work?Work done on an object can be defined as the energy utilized when a force is applied in order to move the object through a definite displacement.
When the 'F' is the applied force and 'd' is the displacement by an object and W is work done will be equal to:
W= F × d
If the body is moving in the opposite direction of the applied force then the work done will be negative.
Given, the applied force, F = 50 N
The displacement of the object, d = 3.0 m
The work done is equal to W = F.d
W = 50 × 3
W = 150 J
As the object is moving in the opposite direction of the applied force so the work done will be - 150 J.
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54(a) Define the capacitance of a capacitor
(b) State:
three factors on which the capacitance of
a parallel plate capacitor depends.
(ii) two uses of capacitors.
(c) The plates of a parallel - plate capacitor
are 5mm apart and 2m² in area. The places
are in vacuum. A potential difference of 1k
is applied across the capacitor.
Calculate the:
(i)
Capacitance
ii) charge on each plate
iii) electric intensity in the space between them
iv) energy stored in the capacitor
[NECO,2000] [Permitivity of free space.
ε =8.85x10-¹2 Nm²C²]
Capacitance is the ability of an electrical conductor and insulator system to store electric charge when there is a potential difference between the conductors.
Capacitance is 3.54×[tex]10^{-9}[/tex] F, energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.
What's the meaning of capacitance?Capacitance is the ability of an electrical conductor and insulator system to store electric charge when there is a potential difference between the conductors. C is the symbol for capacitance. Capacitance is defined as the ratio of the stored electrical charge to the voltage across the conductors.The area of the plates, the distance between them, and the nature of the insulating material or dielectric between them are the three elements that impact the capacitance of a parallel-plate capacitor.The farad (abbreviated F) is the unit of electrical capacitance named after the English physicist and chemist Michael Faraday. The capacitance C of a capacitor is defined as the ratio of the stored charge Q to the applied dc voltage U: C = Q/U.a parallel - plate capacitor are 5mm apart and 2m² in area.
potential difference = 1k
d=5×[tex]10 ^ {-3}[/tex]m,
A=2[tex]m^2[/tex],
V=1000 volt,
Capacitance, C=∈[tex]_0\frac{A}{d}[/tex]
=(8.85×[tex]10^{-12}[/tex]×2)/5×[tex]10^{-3}[/tex]
=3.54×[tex]10^{-9}[/tex] F
charge on each plate , q=CV=3.54×[tex]10^{-9}[/tex]×1000
=3.54×[tex]10^{-6[/tex] C
energy stored ,E=σ/∈0
=Q/(A∈0)
=(CV)/(A∈0)
=[tex]\frac{3.54*10^{-9}*1000}{2*8.85*10^{-12}}[/tex]
=[tex]2*10^5NC^{-1}[/tex].
Capacitance is 3.54×[tex]10^{-9}[/tex] F, energy stored is [tex]2*10^5NC^{-1}[/tex].charge on each plate is 3.54×[tex]10^{-6[/tex] C.
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A plan traveled 3000 km north in 2.5 hours? What is the velocity of the plane?
In 2.5 hours, a plan covered 3000 miles in the north. The plane is moving at a 1200 km/ hr speed.
What formula is employed?Distance = speed time is the formula used to solve the distance problem.
What exactly is meant by velocity?It measures how far an object travels in a certain amount of time.. Velocity is defined as the distance an object travels in one unit of time.
Given,
2 and a half hours
1200 kilometer.
Distance/Time = Velocity
= 3000/2.5
= 1200km/ hr
How can I determine the velocity?By dividing the amount of time it took the object to go a certain distance by the overall distance, one can calculate the object's initial velocity. V is the velocity, d is the distance, and t is the time in the equation V = d/t.
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A hypothetical wave has 6. 6 j of energy. What is its hypothetical, approximate frequency?.
The approximate frequency is 9.96 × ³³ s-1
Solution:
Hypothetical wave energy = 6.6 J
Hypothetical wave frequency =?
E = HV
v = E / h
Where,
E = energy in joules
h = plank's constant & = 6.626 × 10-34 J.s
v = frequency in s-1
On substituting the values in the above formula :
v = E / h
v = 6.6 J / 6.626 × 10-34 J.s
v = 0.996 × 1034 s-1
v = 9.96 × 1033 s-1
Hence hypothetical wave frequency is = 9.96 × 10³³ s-1.
Count the markers to determine the frequency of each class. The relative frequency of a data class is the percentage of data items in that class. A joule is a unit of energy in the International System of Units. This is the work done when a force of 1 Newton displaces a mass 1 meter in the direction of the applied force.
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how much work must be done to stop a 900- kg car traveling at 110 km/h ? express your answer to two significant figures and include the appropriate units.
The work that is needed to be done to stop the car is 419.96 KJ
WorkWork in physics is the amount of energy given to move an object or objects.
We have,
The mass of the car, m = 900 kg
The initial velocity of the car, v₀ = 110 km/h = 30.55 m/s
Since the vehicle has to be stopped, the final velocity will be v' = 0.
Now, we know that
The work done to stop the car will be = Kinetic energy possessed by the car
W = Δ K.E
W = [Final K.E.] – [Initial K.E.]
= ½ (m) {(v')² - (v₀)²]
Substituting the given values in the above formula, we get
= ½ (900) {(0)² - 30.55)²]
= (450) (933.30)
= 419,986.12 J = 419.96 KJ
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you are trying to push your stalled car. although you apply a horizontal force of 400 n to the car, it doesn't budge, and neither do you. which force(s) must also have a magnitude of 400 n?
Static friction forces the car forward. The engine provides the power to rotate the tires, which push the road backwards.
Friction is a common physics term, but vehicle traction can be defined as the friction between the drive wheels and the road surface. “Traction is the friction between the drive wheels and the road. If you lose traction, you lose traction.
As the car accelerates, it exerts a forward horizontal force on the car and a corresponding rearward horizontal force on the ground. As the car accelerates, air resistance creates a backward force.
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two narrow and parallel slits 0.08 cm apart are illuminated by a light of frequency 8 x 1011 khz. at what distance from the slits should the screen be placed to obtain a central bright fringe of width of 0.6 mm?
Distance from the slits should the screen be placed to obtain a central bright fringe of width of 0.6mm is 60mm.
d = 8 × [tex]10^{-4}[/tex]
λ = 8 × [tex]10^{-11}[/tex]
β = 6 × [tex]10^{-4}[/tex]
β = λD/d
Distance = βd/λ = 6 × [tex]10^{-4}[/tex] * 8 × [tex]10^{-4}[/tex]/ 8 × [tex]10^{11}[/tex]
Distance = 60 mm
Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traveled. Distance is the distance that an item travels as it moves in any direction or even when it changes direction. Position describes where a thing is with relation to another object. Positions can be shown using a number line for straight-line motion. Displacement is the distance between the starting point and the finished position.
The whole path an item has taken can be used to define the distance of an object. an illustration The total distance covered by an automobile if it drives east for 5 km and then turns to head north for another 8 km.
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Four students differentiated between 2 celestial terms. Which student's example is NOT true?
1."A comet is mainly composed of ice and dust, and a meteoroid is composed of debris of comets and sometimes debris of asteroids."
2."A comet can generate a tail of gas and dust, and a meteor has a bright tail of light caused by a meteoroid during its atmospheric flight."
3."A moon is a celestial body that makes an orbit around a planet, and an asteroid orbits the sun."
4."A meteoroid is the part of a meteorite that survives the passage through our atmosphere and reaches the Earth's surface; and a meteorite is similar to an asteroid, but smaller."
Answer:
Explanation:
A meteoroid is an inevitably solid object ranging in size from 10 microns to 1 meter moving in interplanetary space. Meteoroids can be primary objects, as well as derivative fragments of larger celestial bodies (not only asteroids).
The example of the first student does NOT correspond to reality:
1. "A comet is mainly composed of ice and dust, and a meteoroid is composed of debris of comets and sometimes debris of asteroids."
when the ball is at its lowest point, is the tension in the string greater than, less than, or equal to the ball's weight?
When the ball is at its lowest point, the tension in the string is greater than the ball's weight.
Stretching, stretching behaviour, or the state of being stiffly stretched. muscle tensing: stress perception 1b. : one or both of two counteracting forces that induce or tend to cause extension.
Compression force's opposite is tension. All of the things in the scene that are in contact with one another apply forces to one another. The best demonstration of a tension force is when a rope is being pulled. The rope builds up a lot of tension when a pull force is applied to it.
The pressure inside a vessel, such as the pressure in the blood vessels (blood pressure). For instance, hypertension is the medical term for high blood pressure. Stress, particularly when it manifests as tensed scalp muscles, bottled-up emotions, or anxiety.
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for most double-stranded dna eukaryal viruses, dna replication occurs in the and translation occurs in the .
For most double stranded DNA eukaryotic viruses, DNA replication occurs in nucleus and translation occurs in the cytoplasm.
Viruses must rely on host cells for metabolic and reproductive functions since they are obligate intracellular parasites.
Although each virus type and species has a unique life cycle, all viruses replicate through the same fundamental steps. The attachment, entry, uncoating, replication, maturity, and release phases can be used to categorise the many stages of the viral life cycle.
DNA viruses only need to produce mRNA, therefore replication utilises techniques that are well-known in cell biology, including transcription of mRNA from dsDNA and replication of dsDNA inside the cell nucleus. Some larger viruses code for their own enzymes, while the majority utilise host enzymes for these operations.
However, ssDNA viruses first use the DNA enzymes of the host cell to convert their ssDNA to intermediate dsDNA, which is then translated into mRNA.
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a measurement was made of the magnetic field due to a tornado, and the result was 15.50 nt to the north. the measurement was made at a position 8.70 km west of the tornado. what was the magnitude (in a) and direction of the current in the funnel of the tornado? assume the vortex was a long, straight wire carrying a current.
674.25 A current is flowing along the funnel of tornado.
Explain magnetic field around a current carrying straight wire?All known magnetic fields are due to current charges (or charges in motion). A wire carrying current produces a magnetic field due to the movement of charges within the conductor. Magnetic field lines around a long wire carrying current form concentric circles around the wire.
Assuming the vortex was a long, straight wire carrying a current,
Magnetic field (B) = 1.55 × 10⁻⁸ T
Radius of tornado (R) = 8700 m
Current in the funnel (I) = ?
For a current carrying straight conductor:
∫BΔL = μ₀I
B(2πr) = μ₀I
I = B(2πr)/μ₀
μ₀ = 4π × 10⁻⁷ H/m
I = 1.55 × 10⁻⁸ (2×3.14×8700)/4π × 10⁻⁷
I = 674.25 A
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when the sampling rate increases and approaches the signal frequency, what will happen to the waveform captured? (read carefully)
The greater the number of samples captured, the more detail about where the waves rise and fall is recorded
What happens if the sample frequency is increased?
The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented. What factors influence sampling frequency.
The sampling frequency or sampling rate, fs, is the average number of samples obtained in one second, so fs = 1/T. Its units are samples per second or hertz, for example. 48 kHz equals 48,000 samples per second.
The greater the number of samples captured, the more detail about where the waves rise and fall is recorded, and the higher the audio quality. Furthermore, the form of the sound wave is more precisely represented.
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in this problem, we didn't address the effect of possible differences in the heights of the pistons. if the column of fluid is higher in the small piston, the fluid weight assists in supporting the car, reducing the necessary applied force. if the column of fluid is higher in the large piston, both the car and the extra fluid must be supported, so additional applied force is required. question if the radius of the output piston is doubled, the output force increases by a factor of:
The output force increases by a factor of F2 = 14, 148. 207 N.
Solution:
To find fr let's plug in the value of Fr, Yi¹ Ye in Og f¹
825/(8.51)² = f₂/(33.6)²
F2 = 14, 148. 207 N
The force which is applied to an object by another object. A person pushing a barrel is an example of applied force. When the person pushes the barrel then there is an applied force acting upon the barrel. An applied force is a force that is applied to an object by a person or another object.
If a person is pushing a desk across the room then there is an applied force acting upon the object. The applied force is the force exerted on the desk by the person. Applied forces can be broadly divided into two types: contact and non-contact forces. Contact forces are those where the interaction between two or more objects occurs while the objects are in physical contact, whereas non-contact forces exist between objects that are not in physical contact.
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a professional quarterback needs to be able to throw a football the entire length of the field. what is the minimum initial velocity needed to get the ball 91 m down field? assume that air resistance is negligible. recall that the time of flight for projectile motion when the object lands at the height it is launched from is?
the minimum initial velocity needed is 30.17 m/s and time of flight for projectile motion is 4.27 seconds.
Given parameters:
Horizontal range of the projectile; H = 91 m.
Let, acceleration due to gravity = 10 m/s².
Then minimum initial velocity required is = √gR = √(10×91) m/s = 30.17 m/s.
And, Time of flight in this case: T = √2×u/g = √2×30.17/10 = 4.27 seconds.
Hence, the minimum initial velocity needed is 30.17 m/s and time of flight for projectile motion is 4.27 seconds.
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If the sprinter from the previous problem accelerates at that rate for 20. 00 m and then maintains that velocity for the remainder of a 100. 00-m dash, what will her time be for the race?.
The time taken to finish the race by using uniform motion is 120 /v seconds.
We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule
vt = vo + a . t
vt² = vo² + 2a . s
s = vo . t + 1/2 . a . t²
where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.
From the question above, we know that
s = 20 m
x = 100 m
vo = 0 m/s
Assume that the final velocity is v
vt = v m/s
Find the time needed to reach the velocity
s = vo . t + 1/2 . a . t²
20 = 0.t + 1/2 . v/t . t²
20 = v . t/2
t = 40 / v seconds
remaining distance = x - s
remaining distance = 100 - 20 = 80 m
remaining time = remaining distance / v
remaining time = 80 / v
Find the time taken to finish all of the race
total time = t + remaining time
total time = 40/v + 80/v
total time = 120 /v seconds
where v is the terminal velocity.
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A 1. 0 newton metal disk rests on an index card that is balanced on top of a glass. What is the net force acting on the disk?.
The net force acting on the metal disk is equal to 1 Newton.
According to the third law of motion proposed by newton,
Each and every action of force has an equal and opposite reaction force.
This reaction force will be equal in magnitude of the action force but will be in the opposite direction.
So, here in this case, the metal disk is balanced on the top of the glass.
The metal disk is applying a force of one Newton on the glass. So, the glass will also apply an equal force on the metal disk,
This net force working on the disk is called the normal force, so the net force on the metal disk is 1 Newton.
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According to newton’s first law of motion, an object in motion will stay in at the same speed and direction unless acted upon by what kind of force?.
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.
A force is an effect that can alter an object's motion according to physics. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force.
A force is a vector quantity since it has both magnitude and direction. It is calculated using the newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to the rate at which its momentum changes over time, according to Newton's second law in its original formulation.
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how do atomic structures determine the properties of a substance?
Answer:
the number of protons (atomic number) determines the chemical properties of the atom
Explanation:
Answer:
The number of protons in an atom determines its chemical properties.
Explanation:
An atom is composed of a nucleus and electrons that go around it. The nucleus is composed of protons with a positive charge and neutrons without charge, and the number of protons (atomic number) determines the chemical properties of the atom (element type)
