Correct option is D)
Overall momentum of the system is conserved.
Therefore, change in momentum of the rocket will be equal to that of the fuel.
Change in momentum of the fuel will be
Δmv=60000
Hence, change in momentum of the rocket will also be:
△P=60000
Thrust force F=
△t
△p
F=60000 N
a car is being driven at a rate of 40 ft/sec when the brakes are applied. the car decelerates at a constant rate of 16 ft/sec^2. calculate how far the car travels in the time it takes to stop. your answer: answer unit
The car travels a distance of 50ft before stopping, at a rate of 40 ft/sec when the brakes are applied. the car deceleration at a constant rate of 16 ft/sec^2.
Given , Initial speed of the coz ( Vo ) = 40 ft/ sec
Deceleration of the car (dv/dt ) = - 16 Ft/ sec^2
Final speed of the car (Vx ) = 0 Ft / sec
Let the distance travelled by the can be x at
any time t. Let u be the velocity at any time t .
Now , deceleration means rate of decrease of velocity.
So ,
dv/dt = - 16 ft / sec^2
decreasing with
Negative sign means the velocity is decreasing with time .
dv/dt = dv/dx(dx/dt)
dv/dx(dx/dt) = -16
dx/dt = v, so
v dv/dx = -16
vdv = -16 dx
Integrating both sides under the limit 40 to o
0 to x for 'x '. This gives
[tex]\int\limits^0_ a {v} \, dx = \int\limits^0_x {-16} \, dx[/tex]
Here, a=40
x=800/16
x=50ft.
The car travels a distance of 50ft
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What is the name of the object to which the electric current flows from the battery toward (and then back to)?
Answer: Electrical Conductors
Explanation: Electrical conductors allow electric current to flow easily because of the make up of their atoms. In a conductor, the outer electrons of the atom are loosely bound and can freely move through the material when an electric charge is applied. In general, the best electrical conductors are metals.
a solid ball with a volume of 0.4 m3 is made of a material with a density of 2500 kg/m3. what is the mass of the ball?
1000 kg is the mass of the ball.
How can density be converted from volume?To find the volume of a substance, divide its mass by its density (mass/density = volume). Consistent measurement units should always be used. If the density is specified in grams per cubic centimeter, for instance, then calculate the mass in grams and provide the volume in cubic centimeters.
How can density be determined in three different ways?
From mass and volume measurements, the densities of brass and aluminum will be determined. Three different methods will be used to calculate volumes: geometrically (by measuring lengths); via water displacement; and via pycnometry.
The density calculation formula is p = m/V.
m = p*v
m = 100kg
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an object moves in an xy - plane and has the following coordinates
The x component of the object's velocity is -8 m/s and the y component of the object's velocity at the given time is 7 m/s.
option B is the correct answer
What is the x and y components of the object's velocity?
The x and y components of the object's velocity at the given time is calculated as follows;
x = -3t³ - 5t²
y = 4t² + 3
where;'
x is the x componenty is the y componentt is the timeAt the given time, t = 1 second, the x and y components of the object's velocity is;
x = -3(1)³ - 5(1) = -8
y = 4(1)² + 3 = 7
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what is the typical power radiated by an ils localizer? what is the potential problem with an ils localizer assigned to 108.1 mhz and a nearby fm broadcast station assigned to 107.7 mhz (hint: what is the typical power radiated by fm radio stations)?
The transmitters operate between 190 and 535 kHz, have a range of at least 15 miles, and have a power of less than 25 watts.
A localizer's sensitivity range.The localizer course is typically 5°, which is fairly narrow. High needle sensitivity follows from this. When the airplane is 2.5° to either side of the centerline with this course width, a full-scale deviation is visible. This sensitivity enables precise alignment to the runway for landings.
Operating between the frequencies of 108.10 MHz and 111.95 MHz, the localizer transmitter uses one of the 40 ILS channels. Signals give the pilot direction to the middle of the runway.
An instrument landing system is a precise runway approach device that uses two radio beams to give pilots horizontal and vertical guidance as they approach the landing. The glideslope (GS) defines the proper vertical descent profile, while the localizer (LOC) offers azimuth guidance.
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given the presence of dust throughout the disk of the milky way galaxy, what is the best technique for learning about more distant regions of our galaxy's disk?
Look for radiation at long wavelengths is the best technique for learning about more distant region of our galaxy disk.
What evidence do we have that the Milky Way is a disk galaxy?There are few stars visible if we stare perpendicular to the disk. More stars can be seen when looking from Earth towards the galactic center. This suggests a disk shape. The dust in galaxies is made up of microscopic grains of carbon, silicon, iron, aluminum, and other heavier elements. The Milky Way contains a lot of carbonaceous dust, which is quite rare in other galaxies.
The stars on the disk all orbit the galactic center in roughly the same place and direction. Halo and bulge stars likewise orbit the center of the galaxy, but their orbits are randomly inclined to the galaxy's disk. The orbital velocity of stars allows us to calculate the distribution of mass in our galaxy.
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Two nucleotides on the same strand form a __________ bond while two complimentary bases on opposite strands form ____________ bonds. An a-t base pairing forms _____ such bonds.
Two nucleotides on the same strand form a Phosphodiester bond while two complimentary bases on opposite strands form Hydrogen bonds. An a-t base pairing forms 2 such bonds.
In DNA double helix, the individual constituents are called nucleotides. These nucleotides are composed of bases which are linked together though covalent linkage also known as a phosphodiester bond.
Two individual strands in DNA are formed by the combination of phosphodiester linkages.
In general, with in a DNA nucleotides, hydrogen bonds are present which join the complementary pairs of bases. For example, two hydrogen bonds are present between thymine and adenine while three hydrogen bonds are present between cytosine and guanine.
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Stan argues that momentum cannot be conserved when a collision is not a head-on collision. Rachel insists it is conserved because each body receives an impulse of equal magnitude. Rachel is correct because?.
Rachel is correct because during the collision, each body exerts an equal and opposite force on the other, the forces act at equal time intervals, and the law of momentum and vector equation represents conservation for an isolated system.
What exactly is the law of momentum?The law of momentum conservation states that within an isolated system in which two or more bodies act on each other (collision of objects), the total momentum remains constant because momentum is neither created nor destroyed, but only changed by the application of external forces as described by Newton's laws of motion. Furthermore, the law states that the force acts on both objects at the same time and that the forces between the objects are equal.
That is stated by the law of momentum conservation. The total momentum of two or more bodies acting on each other in an isolated system remains constant unless an external force is applied.
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How does the Schrödinger model differ from the Bohr model of an atom?
A) It shows a heavy, positively charged nucleus.
B) It shows electrons scattered throughout a positive material.
C) It shows electron orbitals as regions of space.
D) It shows negatively charged particles in the nucleus
The difference between the Bohr model and the Schrödinger model is that the model electron orbitals as regions of space. Option C.
What is the Bohr model?In the Bohr model, we can see that the electrons were arranged in energy levels. The energy levels are such that an electron can be promoted from a lower to a higher energy level. Each of the energy levels has a given amount of energy.
However, in the case of the Schrödinger model, we do not present the electron as resident at a particular point in space but we postulate that there is a region in space where the electron could be found.
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If an object accelerates from rest to its final vermouth in 12.3 s what is the final velocity if it traveled 200m
the final velocity is 10.50 m/s.
calculation:
time t= 12.3 s
distance s= 200u=0
equations are, v² = u² + 2as,
s = ut + ½at²
200= 0*12.3 + 1/2*a*
a=2.77
v² = u² + 2as,
v²= 0 + 2*2.77*200
v=10.50 m/s
What is the speed in units?A particle or object's movement with respect to time is expressed vectorially as velocity. The meter per second (m/s), usually referred to as speed, is the accepted unit of velocity magnitude.
In physics, what does "velocity" mean?An object's position and speed are mostly determined by its velocity. It calculates the distance an object travels in a specific length of time. The distance an object travels in a given amount of time is its velocity.
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tarzan, who weighs 688 n, swings from a cliff at the end of a vine 18 m long (fig. 8-38). from the top of the cliff to the bottom of the swing, he descends by 3.2 m. the vine will break if the force on it exceeds 950 n. (a) does the vine break? (b) if no, what is the greatest force on it during the swing? if yes, at what angle with the vertical does it break?
Tension is defined as the pulling force transmitted axially using a string, a rope, chain, or similar object, or by each end of a rod, truss member, or similar 3-D object; tension might also be expressed as the action-reaction pair of forces acting at each end of said elements.
Maximum tension:
T - mg = mv²/L
By energy conservation:
mgh = ¹/₂ mv²
v² = 2gh
Now the tension force in the vine at this position is given as:
T = mg + mv²/L
Now substitute the values in the above equation:
T = 688 N + m(2gh)/L
T = 688 + 2×3.2(688)/18
T = 932.6 N
As the force is less than the limit of 950 N so the vine didn't break.
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in which zone does the sun rotate more or less as a solid body, with all latitudes taking a similar amount of time to circle the sun's axis?
The radiative zone and core of the Sun are thought by scientists to revolve more like solid bodies than liquid ones. From the convective zone outward, the Sun's outer regions rotate at various rates that change with latitude.
What is latitudes?It is calculated using 180 fictitious lines that are drawn in circles east-west of the equator. Parallels are the names for these lines.Because the Sun is made of gaseous plasma, its rotation varies with latitude. At the equator, the rate of rotation is seen to be the quickest, and it slows down as latitude rises.Since it is made of gas and plasma, the rotational velocities of the gasses and plasma vary depending on where they are on the sun. Every 25 days, the gas and plasma close to the equator of the sun rotate around its axis.Polaris will appear lower in the sky as you move further south, and the sun will set at nighttime farther and more quickly.To learn more about latitudes refer to:
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A wheel with rotational inertia I is mounted on a fixed, frictionless axle. The angular speed ω of the wheel is increased from zero to ωf in a time interval T.
What is the amount of work done by the net torque to the wheel during this time interval?
A: [tex]\frac{1}{2}l\omega_{f}^{2}[/tex]
B: [tex]l\omega_{f} T[/tex]
C: [tex]l\omega_{f} ^{2}[/tex]
D: [tex]l\omega_{f} ^{2} /T[/tex]
The wheel's average net torque over the course of interval T is Iωf/T (option-D).
Does net torque match net force?An object's rotational velocity is altered by net torque. The velocity of an object is affected by net force. When pushed, the block moves horizontally and, assuming low friction, does not rotate.
Given ,
The wheel's initial angular speed, [tex]w_{i}[/tex] = 0
Final wheel angular velocity, [tex]w_{f}[/tex] = [tex]w_{f}[/tex]
The amount of time required to increase the wheel's angular speed t = T
The wheel's angular acceleration,
α = [tex]w_{f}[/tex] - [tex]w_{i}[/tex]/T
α = [tex]w_{f}[/tex] - 0/T
α = [tex]w_{f}[/tex]/T
Newton's Second Law of Rotation states:
The moment of inertia times the angular acceleration are equal when multiple torques are acting on a rigid body about a fixed axis.
τ = Iα
An expression for angular acceleration is:
α = (ωf - ωi) / T
α = ωf/T
As an alternative to the second law:
τ = Iωf/T.
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What is the direction of acceleration at all points in the projectile's path?
a longitudinal wave is observed. Exactly 6 crests are observed to move past a given point in 9.1 s. Its wavelength is 2.4 m and its frequency is 0.66 HZ. What is the speed of the wave.
The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.
What is a longitudinal wave?Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.
Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes
A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.
To calculate the above answer multiply wavelength by frequency to get the speed of a wave.
That is:
2.4 x 0.66
= 1.584
Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.
Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.
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A 5 kg ball is thrown into the air. It is going 6
m/s when
thrown. How much potential energy will it have
at the top?
The potential energy will be 180J
By going through the formula of potential energy that is U=mgh
where, U= Potential energy
m= mass
g= gravitational feild
h= height
Now as per the question,
Initial velocity, u = 6 m/s
Final velocity, v = 0 m/s
Acceleration due to gravity, g = -5 m/s²
(The negative sign implies that the object is moving downwards)
To find the value of Height, we need to use the relation,
v^2 - u^2 = 2gh
0 - 36 = -10h
h = 36/10 m
Height = 18/5 m
therefore, Potential Energy(U) = mgh
= 10 × 5 × 18/5 J
= 180 J
Therefore, the ball will have a potential energy of 180 J when it is at its highest point.
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the bucket of the backhoe and its contents have a weight of 1200 lb and a center of gravity at g. the bucket is pinned at e (figure 1).
Answer:
1200
Explanation:
a 1571-kg submarine rises straight up toward the surface. seawater exerts both an upward buoyant force of 14,848 n on the submarine and a downward resistive force of 947 n. what is the submarine's acceleration?
the submarine's acceleration is 0.95 m/sec²
Total force on submarine = 14848 - (1571 * 9.8 + 947)
= -1494.8 N
=> submarine's acceleration = F/m
= 1494.8/1571
= 0.95 m/sec²
acceleration is the rate of change in both speed and direction of velocity over time. When something moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is constantly shifting, motion on a circle accelerates even when the speed is constant. Both effects add to the acceleration for all other types of motion.
It is a vector quantity because acceleration has both a magnitude and a direction. Another vector quantity is velocity. The velocity vector change over a given period of time, divided by that period of time, is the definition of acceleration. The upper limit of the ratio of velocity change provides instantaneous acceleration (at a specific time and place).
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One force that acts on a surfer is friction. Another is gravity. Which of these is a non-contact force?
Answer: gravity
Explanation:
Friction requires 2 surfaces in contact with each other. Gravity is a non-contact, universal force.
PLS ANSWER quicklu thank youu
Answer: 3/4 net decline
(three quarters)
Explanation:
a rigid , massless rod of length l, has a point paricle of mass m located at one of its endpoints. the system can freely rotate about a pivot point located at another end where gravity is considered. find the hamiltonian
The Hamiltonian of massless rod which has a point paricle at one of its ends, is Acos(ω0 t) + Bsin(ω0 t).
How to find Hamiltonian ?The Hamiltonian of a system in quantum mechanics is an operator that corresponds to the system's total energy, which includes both kinetic energy and potential energy.
It may be demonstrated that H = T + V, where T is the kinetic energy and V is the potential energy of the system—i.e., the Hamiltonian is equal to the total energy of the system—if the constraints in the issue do not depend explicitly on time.
Choose a coordinate system such that kˆ is pointing upwards
then the angular acceleration is given by
α = d^2 *θ /dt^2 * k
The torque about the center of mass is given in the statement of the problem as a restoring torque, therefore
τcm = −bθ kˆ .
The z-component of the rotational equation of motion is
−bθ = Icm * d^2 *θ / dt^2 .
This is a simple harmonic oscillator equation with solution is
θ(t) = Acos(ω0 t) + Bsin(ω0 t)
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sae 6.8 the resolution of a microscope is limited to approximately one-half the wavelength of the light source. because of this limitation, microscopes capable of obtaining atomic-scale images use electrons instead of visible light to illuminate samples. to distinguish atoms separated by a few hundred picometers, as they are in most solids, the electron wavelength should be less than or equal to approximately 200 pm. to what speed must the electrons be accelerated to attain this wavelength?
To find the speed of electrons, known the accelerated and wavelength.
What is acceleration?
The rate of change in both speed and direction of velocity over time is defined as acceleration. When anything moves faster or slower in a straight line, it is said to have been accelerated. Because the direction is always shifting, motion on a circle accelerates even when the speed is constant.
What is wavelength?
A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters (mm).
λ=h/p
⇒ 200pm=h/m×v
V=6.626×10^⁻³⁴/9.1×10^⁻³¹×200×10^⁻¹²
=0.00364×10^⁻³⁺¹²
=0.00364×10⁹
v⇒3.64×10⁶m/s
Therefore, the speed of the electron accelerated to 3.64×10⁶m/s attain this wavelength.
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two flywheels of negligible mass and different radii are bonded together and rotate about a common axis (see below). the smaller flywheel of radius 12 cm has a cord that has a pulling force of 50 n on it. what pulling force (in n) needs to be applied to the cord connecting the larger flywheel of radius 19 cm such that the combination does not rotate?
The pulling force (in N) that needs to be applied to the cord connecting the larger flywheel is 31.58 N.
Force is a push or pulls upon an object because of the item's interaction with some other object. A pressure can purpose an object with mass to exchange its speed, i.e., to boost up. stress additionally can be described intuitively as a push or a pull. A force has each importance and route, making it a vector amount.
calculation:-
Net torque on the system = 0
τ = r × F
So, here
r₁ × F₁ = r₂
12 × 50 = 19 × F₂
F₂ = 12 × 50 / 19
= 31.58 N
The phrase force has a very particular which means that. At this degree, it is really suitable to describe a pressure as a push or a pull. A pressure isn't always something that an item consists of or 'has in it. A pressure is exerted on one object thru some other. The concept of a force is not restrained to dwelling subjects or non-residing matters.
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What is the normal force on an object weighing 437N at rest on an inclined plane with an angle of 29 degrees?
Answer:408
Explanation:
Answer:
382.2 N
Explanation:
You want the normal force on an object weighing 437 N situated on an inclined plane 29° from the horizontal.
Force vectorThe vector 437 N straight down can be decomposed to vectors parallel to the plane and perpendicular to the plane. That decomposition looks like ...
(perpendicular, parallel) = 437 N · (cos(29°), sin(29°)) ≈ (382.2, 211.9) N
The normal force on the object is about 382.2 N.
what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
The magnitude of the angular velocity of the merry-go-round is equal to 2.39 rad/s after a 23 kg child gets onto it.
What is angular momentum?Angular momentum can be described as the rotational form of linear momentum. It is a physical conserved quantity as the total angular momentum remains constant.
Given, the mass of the child m = 23 Kg
The mass of the merry-go-round M = 125 Kg
The initial speed of the merry-go-round, ω₁ = 0.52 rev/s = 3.27 rad/s
The radius, r = 1.8 m
From the conservation of the angular momentum, we can find the angular velocity:
[tex]I_1\omega_1= (I_1+mr^2)\omega[/tex]
[tex](\frac{1}{2} Mr^2)\omega_1= (\frac{1}{2} Mr^2+mr^2)\omega[/tex]
[tex]\omega =\frac{M.\omega_1}{M+2m}[/tex]
[tex]\omega = \frac{125\times 3.27}{125 +2\times23}[/tex]
ω = 2.39 rad/s
Therefore, the magnitude of its angular velocity after a 23 kg child gets onto it by grabbing its outer edge is 2.39 rad/s.
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Your question was incomplete, but the most probably complete question was,
A playground merry-go-round with a mass of 125 Kg and a radius of 1.8 m is rotating with a frequency of 0.52 rev/s. what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
A 1,286-kg car is skidding to a stop along a horizontal surface. The car decelerates from 26.9 m/s to rest in 9.36 seconds. How far did the car skid before coming to rest?
Answer:
Explanation:
Given:
M = 1 260 kg
V₀ = 26.9 m/s
V = 0 m/s
Δt = 9.36 s
___________
L - ?
1)
Vehicle acceleration:
a = (V - V₀) / Δt ) = (0 - 26.9) / 9.36 ≈ - 2.87 m/s²
2)
Braking distance of the car:
L = (V² - V₀²) / (2·a)
L = ( 0² - 26.9²) / (2·(-2.87)) ≈ 121 m
there are two different objects of different masses. object a has a mass of 50 kgs and object b has a mass of 30kgs. which object will have more inertia and why?
my solar system has two types of planets: terrestrials and jovians. the solar nebula hypothesis offers what explanation for the different compositions of these two types of planets?
According to the nebular hypothesis, small terrestrial planets are formed through the process of accretion, in which dense solid particles condensed and collided with one another as a result of their mutual gravitational pull.
As opposed to this, all heavier elements condensed near the sun and formed terrestrial planets, while lighter elements moved away from the sun and formed jovian planets due to the high temperature near the sun, which only allowed heavier particles to condense there.
The solar nebular hypothesis is the explanation put forth and accepted by most scientists as to how the earth came to be. It claims that a nebular, or huge clump of dust, is where the solar system originated. The heavier materials that could resist higher temperatures formed closer to the sun as the condensation of the nebular continued. Because these minerals weren't abundant, the planets they generated weren't very big.
The Jovian planets, on the other hand, formed above the frost line and could support icy compounds. These planets' larger sizes can be attributed to the abundance of ices that formed them. The lighter hydrogen and helium elements were stripped away by solar winds, which caused their accumulation far from the sun.
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a proton moves at constant velocity in the y direction, through a region in which there is an electric field and a magnetic field. the electric field is in the x direction, and has magnitude 400 v/m. the magnetic field is in the -z direction, and has magnitude 0.65 t.what is the magnitude of the net force on the proton?
The magnitude of the net force on the proton is 0.
What happens when the net force is zero?An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.
Fₙ = F₁ - F₂
Fₙ = Net force
F₁ and F₂ are applied forces
Now, F = ma
0 = ma
a = 0
Since acceleration is zero this implies that the object is moving with a constant velocity.
For the given case,
The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:
Fₙ = ma
Fₙ = m × 0
Fₙ = 0
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a skateboard with a negative acceleration, which of the following statements is always true
The initial velocity of the skateboard will be greater than its final velocity.
The correct option is C.
What is acceleration ?Acceleration is the rate at which the speed and direction of velocity vary over time. A point or object going straight ahead gets accelerated when it accelerates or decelerates. Even if the speed decreases, movement on a circle accelerates because the direction is always shifting.
Is speed acceleration?We refer to a change in an object's speed or direction as acceleration. The rate at which speed varies is known as acceleration. Keep in mind that velocity has two parts: speed and direction.
Can acceleration have a negative ?Our theory says that an object accelerates in the reverse direction from the velocity when it slows down. As a result, the object is moving backwards.
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The complete question is-
For a skateboard with a negative acceleration, which of the following statements is always true?
A. The skateboard is losing speed
B. The final velocity of the scooter will be negative
C. The initial velocity of the skateboard will be greater than its final velocity
D. The skateboard will have a negative displacement