Einstein would be moving at 10% of the speed of light if he were following a light beam in the same direction while moving at 90% the speed of light.
What is light beam?A light beam or beam of light is a projection of light energy in a specific direction that emanates from a light source. When sunlight passes through a medium like clouds, vegetation, or windows, it creates a light beam. A piece of light that is traveling along a straight line in one direction is known as a ray of light. A beam of light is a collection of light rays that emanates from a single source. Many lighting fixtures, including spotlights, automobile headlights, PAR Cans, and LED housings, use a lamp and a parabolic reflector to create an artificial light beam. The smallest possible beam divergence can be seen in the light produced by several laser types.
What is a light beam used for and from what it is made up of?A natural example of a light beam that passes through many objects is sunlight (clouds, foliage, windows, etc.). Many lighting devices, like spotlights and automobile headlights, use a lamp and a parabolic reflector to create false light.
Many photons in the same condition make up coherent beams, including laser and radar beams. A light beam's photon count is more of a measurement of its brightness than of its width.
Briefing:Speed of light, c = 3 * 10⁸ m / s
90 % of Speed of light = 3 * 10⁸ * 0.9
90 % of Speed of light = 2.7 * 10⁸ m / s
Relative speed = 3 * 10⁸ - 2.7 * 10⁸
Relative speed = 0.3 * 10⁸ m / s
Relative speed = 0.1 c = 10% of speed of light
As a result, if Einstein were moving at 90% of the speed of light in the same direction as a light beam, the light beam would be moving at 10% of the speed of light.
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Shrinking Loop. A circular loop of flexible iron wire has an initial circumference of 160cm , but its circumference is decreasing at a constant rate of 15.0cm/s due to a tangential pull on the wire. The loop is in a constant uniform magnetic field of magnitude 0.800T , which is oriented perpendicular to the plane of the loop. Assume that you are facing the loop and that the magnetic field points into the loop.Part AFind the magnitude of the emf E induced in the loop after exactly time 9.00s has passed since the circumference of the loop started to decrease.Express your answer numerically in volts to three significant figures.Part BFind the direction of the induced current in the loop as viewed looking along the direction of the magnetic field.
The magnitude of the emf E is 0.0047 V, The Direction of the induced current is clockwise.
What is Emf and current?
In electromagnetism and electronics, an electromotive force is an energy transfer to an electric circuit per unit of electric charge, measured in volts. Devices called electrical transducers to provide an emf by converting other forms of energy into electrical energy.
An electric current is a stream of charged particles, such as electrons or ions, moving through an electrical conductor or space. It is measured as the net rate of flow of electric charge through a surface or into a control volume.
induced emf e = dphi /dt
so we need an expression for phi = BA = Bpi r^2
and since circumference C = 2 pi r,
we can write that as phi = BA = B* pi (C^22/4 pi^2 2)
phi = BC^2/ 4p
Therefore d phi /dt = (BC/2pi ) (dC/dt)
since we know C is a function of t.
after 8 seconds, the circumference is 160 - 9*15 = 25 cm.
= (0.8)(0.25/2*3.14) )(0.15)
Emf= 0.00477 V or 4.77 mV
-----------------------------------------------
induced current I = emf/R (direction is clockwise)
Hence, the magnitude of the emf E is 0.0047 V and the Direction of the induced current is clockwise.
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calculate the recoil velocity in the horizontal direction, in meters per second, of a 0.95-kg plunger that directly interacts with a 0.0205-kg bullet fired at 615 m/s from the gun. take the firing direction to be the positive direction.
The recoil velocity in the horizontal direction of the plunger is 13.27 m/s
What is recoil in physics?Recoil is the backward force or momentum produced by an object such as a gun while discharging at a very high rate of velocity.
This can be understood by the famous Newton’s third law of motion in physics.
What are Newton's laws of motion?The three fundamental laws of classical mechanics known as Newton's laws of motion describe how an object's motion and the forces acting on it interact.
Newton's first law states that unless a net external force acts on an object, it will either remain at rest or continue moving at a constant speed.
According to the second law, an object's force is determined by multiplying its mass by its acceleration.
The third law of motion by Newton states that equal but diametrically opposed forces always act in pairs. There is an equal but opposite reaction to every action, to put it another way.
Given Data:mass of bullet, m1=0.0205kg
velocity of bullet before firing, u1=0 m/s
velocity of bullet after firing, v1=615 m/s
mass of plunger,m2=0.95kg
velocity of gun before firing,u2=0 m/s
Let velocity of gun after firing be, v2
From law of conservation of momentum,
m1u1+ m2u2= m1v1+ m2v2
m1×0+ m2×0=0.0205×615 + 0.95×v2
⟹0=12.60+0.95v2
⟹ v2=−13.27 m/s
This means gun moves in opposite direction to bullet, which is called recoil.
Thus, recoil velocity of plunger is equal to
13.27 m/s
Here, the negative(- ve) sign shows that plunger moves in the opposite direction of bullet.
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What i the wavelength of an electromagnetic wave that ha a frequency of 60,000,000 Hz)
The wavelength is 5.666m.
What is wavelength?
The separation between any two points in a wave and those same points in the subsequent wave cycle. This can be from crest to crest, from trough to trough, from null to null, etc.
What is electromagnetic wave?
The vibrations between an electric field and a magnetic field produce electromagnetic waves, often known as EM waves. In other words, electromagnetic waves are created when magnetic and electric fields oscillate.
Frequency =60,000,000 Hz. As the speed of sound in air = 340 m/s, therefore, wavelength = speed/frequency = 340/60,000,000 = 5.666m.
Therefore, wavelength is 5.666m.
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It takes the elevator in a skyscraper 4. 0 s to reach its cruising speed of 10 m/s. A 60 kg passenger gets aboard on the ground floor.
Before the elevator starts moving, the weight is 588 N; during acceleration, it is 738 N; and at cruising speed, it is 588 N.
State A: Just before the elevator moving.
At first, the 60 kg passenger's weight equals (60 kg)*(9.8 m/s2) = 588 N.
The elevator speeds up from state A to state B
Between states A and B, there is an acceleration of
a=10 m/s/(4 s) = 2.5 m/s2
The passenger is subjected to an inertial force of (60 kg)*(2.5 m/s2) = 150 N.
The passenger's actual weight is 588 + 150, which is 738 N.
Following state B: dynamic stability
Following state B, the elevator runs continuously while the passenger is in a condition of dynamic balance.
Thus, the weight of the passenger is 588 N.
Before the elevator starts moving, the weight is 588 N; during acceleration, it is 738 N; and at cruising speed, it is 588 N.
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Complete Question :
It takes the elevator in a skyscraper 4.0 s to reach its cruising speed of 10 m/s. a 60 kg passenger gets aboard on the ground floor. determine the passenger's weight, before the elevator starts moving, while the elevator is speeding up, and after the elevator reaches its cruising speed.
The illustration below shows three toy ducks floating on water, moving up and down as a wave travels to the right with a velocity of 3 m/s.Which of the following is the frequency of the wave?A. 0.75 Hz
B. 1.33 Hz
C. 1.5 Hz
D. 6.0 Hz
The illustration below shows three toy ducks floating on water, moving up and down as a wave travel to the right with a velocity of 3 m/s, the wave frequency is 0.75Hz
Wave frequency is the number of waves that travel through a fixed location in a specific amount of time. The hertz (Hz) is the SI unit for wave frequency, with 1 hertz equaling 1 wave passing a fixed point in 1 second. A greater wave has much more energy than a lower-frequency wave that has the same amplitude. Because higher frequency waves have closer crests, they have shorter wavelengths.
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a 60-lb uniform thin panel is placed in a truck with end a resting on a rough horizontal surface and end b supported by a smooth vertical surface. knowing that the panel remains in the position shown, determine (a) the maximum allowable acceleration of the truck, (b) the corresponding minimum required coefficient of static friction at end a.
The maximum allowable acceleration of the truck is 0.544, the corresponding minimum required coefficient of static friction at end is 34.64.
What is acceleration?
Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or point traveling straight forward. Due to the constant change in direction, motion on a circle accelerates even while the speed is constant.
What is static friction force?
Static friction occurs when an object is subjected to a force that is opposed by the frictional force; as a result, the object is kept at rest until the static friction force is removed. When there is kinetic friction, an object is not allowed to move.
Free body diagram
When the acceleration of the truck is maximum there is no contact between the parallels and the waves therefore, the reaction force at point "B" will be zero.
Mₐ= (ma) d
= (w* 2.5 cos 60°) = (ma 2.5 sin 60°)
=( 60*2.5 cos 60°)= (60/32.2 *a*2.5 sin 60°)
a= 15.89 ft/ s²
Equation of equilibrium in y- direction
Fy=0, Nₐ=w=60lb
Equation of equilibrium in x direction
Fₓ= max
F= mₐ (60/32.2*18.59)
f= 34.64
and as frictional force in μN
34.64= μ*60
μ= 0.544
Therefore, the maximum allowable acceleration of the truck is 0.544, the corresponding minimum required coefficient of static friction at end is 34.64.
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As the cloud shrinks in size, its central temperature _______ as a result of _______.
Blank 1: increases
Blank 2: gravitational potential energy being converted to thermal energy
As the cloud shrinks in size, its gravitational potential energy decreases. Because energy cannot simply disappear, the "lost" gravitational potential energy must be converted into some other form. Some of it is converted into thermal energy, which raises the temperature of the gas cloud. The rest is mostly converted into radiative energy, which is released into space as light.
As the cloud shrinks in size, its central temperature increases as a result of gravitational potential energy decreases.
Temperature is the measure of hotness or coldness expressed in phrases of any of several scales, together with Fahrenheit and Celsius. Temperature indicates the path in which warmness electricity will spontaneously drift—i.e., from a warmer frame (one at a better temperature) to a chillier frame (one at a decreased temperature).
In chemistry, we define the temperature of a substance as the common kinetic power of all of the atoms or molecules of that substance. now not all the debris of a substance has identical kinetic energy. At any given time, the kinetic power of the debris can be represented by means of a distribution.
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the bolts on a car wheel require tightening to a torque of 90 nm. if a 30 cm long wrench is used, what is the magnitude of the force required when the force applied at 53 degrees to the wrench?
To resolve the issue, we'll apply the moments' principle. According to the question, the wrench must exert 90 Nm of torque on the bolt. The angle at which the force acts (53o to the wrench) and the length of the lever arm (30 cm) are provided.
Before moving on to the computations themselves, a conversion. The wrench's length is specified in centimeters, which must be converted to meters:
30cm=30×10−2m=0.30m
Get an expression for the vertical component of the force now using trigonometry. The equation is Fv=Fsin53 since the vertical component is the reverse of the 53o angle.
The vertical component of the force is multiplied by the lever arm to produce the moment of the force (0.30 m).Keep in mind that the force must produce a 90 Nm torque, which I will enter on the left-hand side of the equation.
Calculation:
\s90=Fv⋅0.30=Fsin53⋅0.30
F=90sin530.30=375 N=376N, rearrange for F, and solve.
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In a certain viscous ( SAE 30), incompressible flow field with zero body forces the velocity components are
u=ay - b(cy-y^2); V= W= 0;
where a = 5; b = 779 [1/(s m)], and c are constant. Use the Navier - Stokes equations to determine an expression for the pressure gradient in the x direction [Pa/m].
An expression for the pressure gradient in the x direction a - bc = 0,c = - 0.006418.
As given ρ = c
Momentum in x,
ρ [tex]\frac{du}{dt}[/tex] = ρ gx - [tex]\frac{dp}{dx}[/tex] + μ ([tex]\frac{d^2u}{dy^2}[/tex] + [tex]\frac{d^2u}{dy^3}[/tex] + [tex]\frac{d^u}{dz^2}[/tex])
u = ay - b(y - [tex]y^{2}[/tex])
dp/dx = 2bμ
T = 0, du/dy = 0
a - bc = 0
c = - 0.006418
The pressure gradient, which is a physical term used in atmospheric science to indicate the direction and rate at which pressure rises most quickly around a certain site, is normally defined as being of air, although it can also more broadly refer to any fluid momentum. Pascals per meter (Pa/m) is a dimensional unit used to express the pressure gradient. The gradient of pressure as a function of position is what it is mathematically referred to as. The force density is the name for the negative gradient of pressure.
Pressure gradients in petroleum geology and petrochemical sciences relevant to oil wells, and more especially in hydrostatics, refer to the gradient of vertical pressure in a column of fluid within a wellbore and are often stated in pounds per square inch per foot (psi/ft)
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archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. suppose a chunk of copper with a mass of 467.5 g in air is found to have an apparent mass of 431.4 g when completely submerged in an unknown liquid. (a) what mass (in g) of fluid does the copper displace? webassign will check your answer for the correct number of significant figures. g (b) what is the volume of copper (in cm3), using its density as given in this table? webassign will check your answer for the correct number of significant figures. cm3 (c) calculate the fluid's density and identify it. water
Archimedes' principle can be used to calculate the density of a fluid as well as that of a solid. If a chunk of copper with a mass of 467.5 g in air is found to have an apparent mass of 431.4 g when completely submerged in an unknown liquid. (a) The mass (in g) of fluid does the copper displace will be36.1 g (b) The volume of copper (in cm3), using its density will be 51.944 [tex]cm^{3}[/tex] (c) The fluid's density will comes out to be 0.694 g/[tex]cm^{3}[/tex].
Given,
The mass of the copper chunk, M = 467.5 g
Apparent mass of the copper chunk, m = 431.4 g
According to the Archimedes' principle
(a) The mass of fluid does the copper displaces = M - m
= 467.5 g - 431.4 g
=36.1 g
(b) To calculate the density of the copper chunk we must know its density, which is 9 g/[tex]cm^{3}[/tex],
So, volume of the copper = Mass (M)/density
= 467.5/9
= 51.944 [tex]cm^{3}[/tex]
(c) The density of the fluid will be the mass of the fluid divided by the volume, which can be represented as;
Density = Mass/ volume
= 36.1/51.944
= 0.694 g/[tex]cm^{3}[/tex]
Hence, the mass of fluid does the copper displaces will be 36.1 g, volume of the copper chunk will be 51.944 [tex]cm^{3}[/tex] and density of the fluid will be 0.694 g/[tex]cm^{3}[/tex].
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TRUE/FALSE. cross-sectional surveys can be used to establish baseline data prior to the initiation of longitudinal studies.
Answer: true
Explanation:
A 60 g tennis ball with an initial speed of 32 m/s hits a wall and rebounds with the same speed.The figure below shows the force of the wall on the ball during the collision. What is the value of Fmax, the maximum value of the contact force during the collision?
(img)
The value of Fmax, the maximum value of the contact force during the collision is 3.84 and fmax = 960 N.
Friction. Friction is a pressure which fits withinside the contrary path to the path of movement while an item is on a difficult surface. The most or proscribing fee of friction among surfaces is FMAX=μR F MAX = μ R wherein μ is the coefficient of friction and R is the everyday response among the 2 surfaces.
Here the mass = 60 g tennis ball
[tex]with an initial speed of 32 m/s Vc\\Pi = m×v= pf = - mv\\Δp= mv - (m)\\2mv\\2 × 0.06 × 32\\3.84\\J = 1/2 × (2 +6) ×vf max\\J / 4 = f max\\f = J/4\\J = ΔP = 960 N\\F max = 960 N[/tex]
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a resonant tank circuit consists of a 20 mh coil operating at a frequency of 950 khz. what is the inductive reactance of the coil?
Answer:
Inductive resistance of the coil 120 kΩ
Explanation:
Given:
L = 20 mH = 0.020 H - Coil inductance
f = 950 kHz = 950 000 Hz - Frequency
______________
XL - ? Inductive resistance of the coil
XL = 2·π·f·L
XL = 2·3.14·950000·0.020 ≈ 120 000 Ω or XL = 120 kΩ
A was of sticky clay of mass m is hurled horizontally at a wooden block of mass M initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides a distance d before coming to rest. If the coefficient of friction between the block and the surface is μ. what was the speed of the clay immediately before impact?
If the coefficient of friction between the block and the surface is μ. what was the speed of the clay immediately before impact:
solution:-
1st conservation of momentum
(m1 * v1i) + (m2 * v2i) = (m1 +m2) * vf
v2i = 0 m/s because the wooden block is at rest
(m1 * v1i) + (m2 * 0) = (m1 +m2) * vf
(m1 * v1i) = (m1 +m2) * vf
Equation #1
vf = (m1 * v1i) ÷ (m1 +m2)
vf is the velocity of the clay and block as they slide a distance d before coming to rest.
2nd conservation of energy.
The work of friction will reduce the kinetic energy of the clay and block to 0 Joules as the clay and block slide across the horizontal surface.
Initial Kinetic energy of the clay and block = ½ * (m1 +m2) * vf^2
Work of friction = µ * (m1 +m2) * g * d
Final KE = 0
Initial Kinetic energy of the clay and block – Work of friction = 0
[½ * (m1 +m2) * vf^2] – [µ * (m1 +m2) * g * d] = 0
[½ * (m1 +m2) * vf^2] = [ µ * (m1 +m2) * g * d]
Divide both sides by (m1 +m2)
[½ * vf^2] = [ µ * g * d]
vf^2 = [2 * µ * g * d]
Equation #2
vf = [2 * µ * g * d]^0.5
Equation #1
vf = (m1 * v1i) ÷ (m1 +m2)
set Equation #1 = Equation #2
(m1 * v1i) ÷ (m1 +m2) = [2 * µ * g * d]^0.5
Multiply both sides by (m1 +m2)
(m1 * v1i) = (m1 +m2) * [2 * µ * g * d]^0.5
Divide both sides by m1
v1i = (m1 +m2)/m1 * [2 * µ * g * d]^0.5
Speed is the gap traveled in step with unit of time.
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consider the diffraction pattern produced by illuminating a double slit. show answer no attempt if the spacing between the slits d is very large, what happens to the spacing between the zero intensity points?
The space between various fringes grows as the light's wavelength rises because this is a wavelength-dependent property.
The wavelength, what is it?A waveform signal's wavelength is defined as the separation among identical locations (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in metres (m), centimeters (cm), or millimeters (mm) (mm).
What role does wavelength play in science?Since it dictates the character of the light, the wavelengths is a crucial component. Greens light has a frequency that is distinct from both blue and red light, and it has a wavelength that is distinct from neither of them.
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in which situation should you use high beams? in the fog or heavy snow when you're alone on a poorly lit road within 500 feet of an approaching vehicle within 300 feet behind a vehicle submit answer
Only use high beam lights in low traffic areas or on highways, especially if there are no other vehicles within 200 metres of them. High beam lights provide brilliant illumination.
In which of the following situations are high beams necessary?High beam headlights should be used when it is too dark to see the road ahead well enough to drive safely. Even the most seasoned drivers may find nighttime low visibility unnerving.
Which situations need the use of low beams?Low beams are the perfect choice if you don't want to blind other motorists while driving in traffic with your blazing high beams. Driving in heavy rain, snow, or fog requires the use of your low beam lights.
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a car is moving toward the east at 50 km/h while it also moves to the north at 25 km/h . how fast is the car traveling?
The car is travelling at 56km/h.
Calculation:
Given:
Velocity of car in east ([tex]V_{e}[/tex])= 50 km/h
Velocity of car in north ([tex]V_{n}[/tex]) = 25km/h
So, [tex]V_{net}[/tex] = [tex]\sqrt{Ve^{2} + Vn^{2} }[/tex] = [tex]\sqrt{50^{2} + 25^{2} }[/tex]
= [tex]\sqrt{2500 + 625}[/tex]
= [tex]\sqrt{3125}[/tex] = 55.9 kn/h
= 56km/h
The car is travelling at 56km/h.
What is Velocity?
A vector measurement of the speed and direction of motion is what is meant by the term "velocity." Simply put, velocity is the rate of movement in one direction. Velocity may be used to calculate both the speed of a rocket launching into space and the speed of a car traveling north on a busy motorway.
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two children of mass 23 kg and 37 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. if the larger child sits a distance of 3.8 m from the pivot, then at what distance from the pivot point is the small child sitting in order to maintain the balance?
2.3 m is distance from the pivot point is the small child sitting in order to maintain the balance.
M1R1=M2R2
R2=M1R1/M2
R2=23×3.8÷37
R2=2.3 m
Distance is the length between two points or things, and it is directionless. Since distance is a scalar property, it only takes into account the total magnitude and ignores the start and finish locations. Being a scalar attribute, distance can only be positive or zero; it cannot be the opposite.
Although kilometers (km) and centimeters (cm) or millimeters (mm) can also be used to express shorter distances, the meter (m) is the most common unit of measurement for distance (mm). When calculating distance, the letter D is frequently used to denote the distance traveled.
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what is the total work wfric done on the block by the force of friction as the block moves a distance 7.00 m up the incline?
The block's kinetic energy remains unchanged because it is travelling at a constant pace.
Work is the change in kinetic energy, and since there has been no change, there has been no work done on the block.
What Is Work?
A force must be applied in order to produce work, and there must also be motion or displacement in the force's direction.
The amount of work performed by a force acting on an item is equal to the force's magnitude times the distance travelled in the force's direction.
What is the formula for work done?
The work W is equal to the force f multiplied by the distance d, or W = fd, to mathematically describe this idea.
The work done is given by W = fd cos if the force is applied at an angle of to the displacement.
Therefore, here, the total work will be the product of the frictional force and distance that is 7m.
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If the work required to peed up a car from 10km/hr to 2okm/hr i 5. 0 x 10^3 J, what would be the work required to increae the car peed from 20km/hr to 30km/hr
The minimum distance in which car will stop is 256m.
What is distance?
distance is the length of the space between two points.
distance is a numerical or its the occasionally qualitative measurement of how to far apart objects or points .
Sol-here we can apply Newton’s second law to the car of to determine of the maximum static friction to the force acting on the car:
€Fy=ma^y+ n-mg=0
Fs≤us mg
This maximum magnitude of static friction acts so long as the tires roll without skidding.
€Fx=ma^x-----> -fs=ma
The maximum acceleration is
a=-u^s g
The initial and final conditions are- xi=0, vi=50.0mi/h =22.4 m/s and vf =0.Then,
v^2=v^2+2a(xf-xi)---->v^2
f i I
Xf=(22.4m/s)^2/2(0.100)(9.80m/s^2)=256
Thus through the minimum distance in which car will stop is 256m.
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How is risk of collision calculated?.
Taking compass bearings is one of the maximum important ways of figuring out the danger of collision. good visibility is wanted to use this technique and a series or quantity of bearings need to be taken.
On smaller vessels bearings may be taken the use of a hand-bearing compass, on large vessels, a bearing or azimuth ring is used.
As soon as you perceive a danger of collision, you should perceive an appropriate movement to avoid collision to make sure the vessels will pass at a safe distance. You should then take that action to avoid collision as quickly as it's miles appropriate to accomplish that. digital Bearing lines are used to take the bearing of goals. The EBL extends from its own delivery role to the circumference of the radar display. If the bearing remains steady with decreasing variety, the chance of collision exists.
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What happens to the gravitational force between two objects when the distance between them is halved class 9?.
If the distance between the two objects is reduced to half, the force between them will rise by four times.
The initial distance between two objects is denoted by "r," the final distance is denoted by "r/2," the masses of the two things are denoted by m1, m2, and G is the universal gravitational constant.
Initial force F1 is defined by Newton's law of gravitation,
F1 = G × m₁m₂/ r²
The final force F' = G × m₁m₂/ (r/2)²
= 4G × m₁m₂/ r²
= 4F
As a result, the force will increase four times when the distance between two objects is halved.
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which type of hose stream is created by specialized nozzles such as cellar nozzles, piercing nozzles, or chimney nozzles?
Answer:broken stream
Explanation:
Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is:________.
Astronomers now know that surrounding the main body of our galaxy (which our various kinds of telescopes have shown to us) and our fainter halo of stars there is: a spherical halo of dust and gas.
What is milky way?
There are many stars, grains of dust, and gas in the Milky Way. It is known as a spiral galaxy because, from the top or bottom, it would appear to be whirling like a pinwheel. About 25,000 light-years from the galaxy's nucleus, the Sun is situated on one of the spiral arms. The Milky Way's center would take you about 25,000 years to reach, even if you could move at the speed of light (300,000 km/s, or 186,000 mph).
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q7. a rod is free to slide on a frictionless sheet of ice. one end of the rod is lifted by a string. what would be the angle of the string to maintain the rod at rest? (acute angle, right angle, obtuse angle) explain your choice.
If a rod is free to slide on a frictionless sheet of ice and one end is lifted by a string, the angle of the string would be a right angle in order to maintain the rod at rest.
This is because in order for an object to be at rest, the forces acting on it must be balanced. In this case, the only forces acting on the rod are the force of gravity pulling the rod down and the force of the string pulling the rod up. If the string is at a right angle to the rod, the forces will be balanced and the rod will remain at rest.
If the string were at an acute angle (less than 90 degrees), the force of the string would not be strong enough to balance the force of gravity, and the rod would slide down. If the string were at an obtuse angle (greater than 90 degrees), the force of the string would be too strong and the rod would be pulled off the sheet of ice.
Therefore, the angle of the string must be a right angle in order to maintain the rod at rest on the frictionless sheet of ice.
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identify the true statement from the following. laminar flow is characterized by the smooth flow of the fluid in layers that do not mix. turbulent flow is characterized by eddies and swirls that mix layers of fluid together.
Both of the statements, laminar flow is characterized by the smooth flow of the fluid in layers that do not mix and turbulent flow is characterized by eddies and swirls that mix layers of fluid together are true.
In fluid dynamics, laminar flow is shown by fluidic particles flowing smoothly in layers, with each layer moving smoothly past the adjacent layers with very less or no mixing. At low rate of displacements, the fluid starts to flow without any mixing, and adjacent layers slide past upon one another. And a turbulent flow is type of fluid flow where the fluid undergoes irregular fluctuations, or mixing with different layers.
Hence, both the statements are true.
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A student is conducting an experiment to analyze the mechanical energy of a block-spring system. The student places a block of mass 2kg on a horizontal surface and attaches the block to a horizontal spring of negligible mass and spring constant 100N/m, as shown in the figure. There is negligible friction between the block and the horizontal surface. The other end of the spring is attached to a wall. The block-spring system is initially at the spring's equilibrium position.
The student wants to collect data of the block-spring system that can be used to determine the work done on the spring by the block when the spring is compressed. Which of the following includes only the measuring devices that the student will need in order to collect the data?
Force probe and meterstick
Out of the given options, the measuring devices that the student will need in order to collect the data to determine the work done on the spring by the block are Force probe and meterstick.
W = F d cos θ
W = Work done
F = Force
d = Distance
θ = Angle between force and displacement vector
Here θ = 0°. So,
W = F d
The force applied on the block can be measured using a force probe. The force sensors essentially measure the deformation of an elastic support subject to the force. The distance that the block moves can be measured using a meter stick.
Therefore, in order to collect the data the student will need Force probe and meterstick.
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When a comet is within the inner solar system, its visible tails point __________.
When a comet is within the inner solar system, its visible tails point away from the Sun.
What is the Sun?The Sun can be defined as an astronomical (celestial) body that is typically found within the solar system around which planetary (astronomical) bodies orbit, and whose light shines on planet Earth to differentiate day and night.
What is a comet?In Astronomy, a comet can be defined as the cosmic, small snowballs of volatile frozen gases, dust, and rock that are orbiting the Sun. This ultimately implies that, comets comprises a small body of volatile ices that are in orbit around the Sun.
Based on astronomical records and information, the visible tail of a comet points way from the Sun when it is within the inner solar system.
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Calculate the angular momentum of a olid uniform phere with a radiu of 0. 115 m and a ma of 15. 0 kg if it i rotating at 5. 70 rad/ about an axi through it center
The angular momentum of a solid uniform sphere of radius 0.115 m and mass 15.0 kg if it rotates about an axis at its center at 5.70 rad/s
A uniform solid sphere of radius (r) = 0.115m
Mass of sphere (m)= 15kg
Rotation speed = 5.70 rad/s about an axis at its center
To find the angular momentum about its axis L =IW
I = moment of inertia = 2/5mr^2
W= speed of rotation
L= (2/5)*15*0.115*0.115*5.70
L = 0.452295kgm2/s
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What is Law of Conservation of Matter explain using an example?.
The law of conservation of matter and the law of conservation of energy essentially state that neither type of energy can be created nor destroyed, only transformed. The process by which grapes ferment to produce wine is an illustration of the law of conservation of matter. The amount of matter in the reactants in the bottle doesn't change, but its chemical form does.
It is a fundamental tenet of classical physics that matter cannot be created or destroyed in an isolated system; rather, it can only be changed from one form to another. This means that despite the apparent changes that are seen, no matter is lost during any chemical or physical change that may occur with any substance.
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