The ring would finish at last in the race down the incline.
Incline is a a plane surface tilted at some angle from the horizontal.
The moment of inertia of the ring = [tex]mr^{2}[/tex]
The moment of inertia of the disc = ( [tex]mr^{2}[/tex] ) / 2
The moment of inertia of the solid sphere = 2( [tex]mr^{2}[/tex] ) / 5
Since the moment of inertia is the resistance to rotational motion, we see that the object with the smallest moment of inertia will reach the bottom first.
The gain in total kinetic energy is equal to the loss in gravitational potential energy, which in turn is the same for all the objects and is equal to 'mgh'
where h is the height of the inclined plane.
So the order of reaching the bottom is Sphere, disc and ring.
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suppose that the quarterback takes 0.30 ss to return to the ground after throwing the ball. how far ddd will he move horizontally, assuming his speed is constant?
The quarterback is located 0.3v above ground. The fundamental element of every projectile's body that is moving is its horizontal velocity (vx).
What is horizontal velocity?The fundamental element of every projectile's body that is moving is its horizontal velocity (vx). In any projectile motion, it is typically utilized to know the velocity value at which the particle travels along the horizontal direction. It's even thought of as the body's starting point for movement.
Let's say the projectile-moving particle reaches the highest point of its horizontal path. In that case, the horizontal velocity will typically be zero since the force of gravity will cause it to fall vertically downward as soon as it reaches the peak point. Vertical velocity has no impact on this horizontal velocity when it is at its highest point.
Let the horizontal velocity of the object = v
X = vt
X = 0.3v
Thus, The quarterback is located 0.3v above ground.
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A student decides to conduct a comparative investigation to study properties of elements.What is a benefit of conducting a comparative investigation rather than a descriptive investigation?
a It will be less time-consuming to collect data about elements.
b It will show a cause-and-effect relationship between two properties of elements.
c It will be less expensive to collect data and make observations about elements.
d It will provide much more information about properties of elements.
please answer right I'm on an exam and show picture to show right if u can
Answer:its b
Explanation: i took the test
explain how the energy/velocity of water/wind controls the size of the particles in clastic/detrital) rocks
In fast-moving water only coarse material settles out and fine material is carried away. In slow-moving water only fine material, which can settle out.
What is the velocity of water?The velocity of water is the rate at which water moves.A technique that can quickly clear your drains is high-velocity water jetting. This procedure forces water through your pipes at a very high velocity, which aids in dissolving and removing any material that has built up in your drains.The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).The volume and speed of the water affect the flow. It is significant because of how it affects the stream's ecosystems, living things, and water quality. Large, fast-moving rivers can be exposed to pollution releases and experience minimal effectsTo learn more about velocity of water refer to:
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discuss the statistical nature of the clausius statement of the second law that energy cannot go spontaneously from a colder to a hotter body. under what conditions is the statement applicable? in what sense is this statement incorrect?
It is true that clausius statement of the second law states that energy cannot go spontaneously from a colder to a hotter body.
What is second law of thermodynamics and what is clausius statement of the second law of thermodynamics?Second law of thermodynamics is the law stating that heat and energy are interconvertible and is transferred from one form to another.Clausius statement of the second law of thermodynamics states the same but it also states that energy and heat cannot be transferred from colder to hotter body.It simply justifies that heat cannot be transferred from hot reservoir to cold reservoir at any cost.The condition under which the clausius statement is true is that the entropy change should be greater or equal to zero.Hence if entropy change is zero or greater than zero then clausius statement is truly justified.To know more about thermodynamics visit:
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A soccer ball is kicked horizontally across a field with an initial velocity of magnitude 15 m/s. If the soccer ball has a mass of 0.43 kg, what is the kinetic energy of the ball just after it is kicked?
The kinetic energy of the ball just after it is kicked is 48 J.
What is kinetic energy?Kinetic energy is the force that propels motion, which can be seen in the movement of a particle, an object, or a group of particles. A person walking, a baseball being thrown, a piece of food falling from a table, and a charged particle in an electric field are all instances of objects in motion that use kinetic energy.
Vibrational, rotational, and translational energy are the three subtypes of kinetic energy. Unsurprisingly, vibrating things are the source of vibrational kinetic energy. While objects colliding with one another produce translational kinetic energy, objects moving create rotational kinetic energy.
Given:
Mass- 0.43kg
Velocity- 15
kinetic energy = 1/2 mv²
kinetic energy of the ball = 1/2 (0.43)(15)²
kinetic energy of the ball = 48 J.
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for a double slit experiment, what is the smallest separation (in nm) between two slits that will produce a second-order maximum for 652 nm visible light?
The smallest separation in terms of nm between two slits that will produce a second-order maximum for 652 nm visible light is 1.30 um
Since the relationship between wavelength and angle for minima and maxima in Young's double slit experiment is:
For constructive interference
d sinθ = n
for Destructive interference
d sinθ = (n+1/2)λ, where λ is the wavelength, n is the order of maxima and minima, Since here n = 2
So the separation, λ = 652 nm , and θ = 90
so, d sin90 = 2*652*10⁻⁹
=> d= 2*652*10⁻⁹/ sin90
= 1.30 X10⁻⁶
= 1.30 цm
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a dockworker loading crates on a ship finds that a 29-kg crate, initially at rest on a horizontal surface, requires a 71-n horizontal force to set it in motion. however, after the crate is in motion, a horizontal force of 50 n is required to keep it moving with a constant speed. find the coefficients of static and kinetic friction between crate and floor.
The coefficients of static and kinetic friction between crate and floor are
0.25 and 0.176 respectively.
When a body is at rest and if a force is applied to move it, then it would require the force which is equal to the static friction force, if
fs is the static frictional force and the us is the static friction coefficient and Fn is the normal force
[tex]f_{s}[/tex] = us*Fn
Fn = mg
putting the appropriate values, we get
= 71/(29*9.8) = 71/284.2
= 0.2498 = 0.25
Now, similarly when body is in motion, kinetic frictional force is applied, so we can write
[tex]f_{k}[/tex] = uk*Fn
so putting the appropriate values, we get
= 50/mg = 50/284.2 = 0.1759
= 0.176
Hence the value of coefficient of static friction is 0.25 and the value of coefficient of kinetic friction is 0.176.
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two identical, parallel-plate capacitors are connected to identical batteries and allowed to charge fully. a dielectric is placed between the plates of one of the capacitors while still connected to the battery and allowed to reach a steady state. discuss whether the capacitance, charge, and electric potential of the capacitor with the dielectric are greater than, less than, or equal to the capacitor without the dielectric.
Capacitance, charge and electric potential will be greater than the capacitor without the dielectric.
Capacitance is the a property of an electric conductor or set of conductors that is measured by the amount of separate electric charge that can be stored on it per unit change in electric potential.
The value of capacitance for the parallel plate is C = (3∈0AK)/d
Since two identical, parallel-plate capacitors are connected
therefore the value of capacitance for both the plate is C
Ceq. = (C1*C2) / C1 + C2 = C*C / C+C = C2
When the battery remains connected, the potential difference [V] remains constant
Q=CV
∴Cafter>Cbefore [C increased]
∴Qafter>QBefore [Q increased]
Potential difference and charge across the capacitor before the dielectric:
Qbefore = [tex]\frac{CV}{2}[/tex]
Vbefore = Vafter = V
Potential difference and charge on the capacitor after inserting the dielectric:
Qafter = Ceq*V = [tex]\frac{kCV}{k+1}[/tex]
Vafter = Q*After / KC = [tex]\frac{\frac{kCV}{k+1}}{kc}[/tex]
Vafter= [tex]\frac{V}{k+1}[/tex] [K>1]
[Hence V decreases]
Vbefore > Vafter
Also, E = [tex]\frac{V}{d}[/tex]
therefore [E]before > [E]after [E decreases]
Energy stored in the capacitor:-
U=[tex]\frac{1}{2} CV^{2}[/tex]
As V= constant
Cafter > Cbefore .
Hence Uafter > Ubefore
Thus, the electrostatic potential increases.
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a 4.3 kg object is suspended by a string from the ceiling of an elevator. the acceleration of gravity is 9.8. determine the tension of the string if it is accelerating upward at a rate of 2.1
The tension of the string is due to the mass suspended at a weight of 4.3 kg is 51.57N
The mass of the object = 4.3 kg
The acceleration due to gravity = 9.8 m/s²
The accelerating of the string upwards = 2.1 m/s²
The tension of the string can be found using the formula,
T = m(g + a)
where T is the tension of the spring
m is the mass of the object
g is the acceleration due to gravity
a is the acceleration upwards.
Let us substitute the known values in the above equation, we get
T = 4.3 ( 9.8 + 2.1)
= 4.3 ( 11.9)
= 51.57
Therefore, the tension on the string is 51.57 N
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the tide that results from a lunar wave is larger than the solar wave. group of answer choices true false
The given statement is true. A lunar eclipse happens when the Moon passes into the shadow of the Earth. A solar eclipse happens when the Moon passes between Earth and the Sun.
What is lunar wave and solar wave?A lunar eclipse happens when the Moon passes into the shadow of the Earth. This is only possible when the Sun, Earth, and Moon are precisely or extremely closely aligned with Earth between the other two, which can happen only on a full moon night when the Moon is close to either lunar node.
A solar eclipse happens when the Moon passes between Earth and the Sun, completely or partially blocking Earth's view of the Sun. A new moon corresponds with such an alignment, showing that the Moon is closest to the plane of the Earth's orbit. The Moon completely obscures the disk of the Sun during a total eclipse.
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The given statement is true. A lunar eclipse happens when the Moon passes into the shadow of the Earth. A solar eclipse happens when the Moon passes between Earth and the Sun.
What is lunar wave and solar wave?When the Moon enters the shadow of the Earth, an eclipse occurs. This can only occur on a full moon night when the Moon is close to either lunar node, when the Sun, Earth, and Moon are precisely or extremely closely aligned with Earth between the other two.When the Moon passes in front of Earth and the Sun, covering Earth's view of the Sun entirely or in part, a solar eclipse occurs. Such an alignment is accompanied by a new moon, demonstrating that the Moon is closest to the plane of the Earth's orbit. A total eclipse occurs when the Moon totally blocks out the Sun's disk.To learn more about Lunar and solar eclipse refer to:
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a car traveling with a constant velocity quickly comes to rest. while slowing down, the passengers inside the car are pushed forward by the force of .
Using the concepts of motion, we got that Ma is the force exerted on the passengers inside the car when a car traveling with a constant velocity quickly comes to rest.
We know very well that according to newton second law of motion,
if a moving object is moving with some velocity v at any particular time t, then there is force acting on that object and that force is given by
F= dp /dt,
where dp is defines as change in momentum of the object. In other words,
dp=M×([tex]v_f_i_n_a_l[/tex] - [tex]v_i_n_i_t_i_a_l[/tex])
where [tex]v_f_i_n_a_l[/tex] and v[tex]_i_n_i_t_i_a_l[/tex] are the velocities of the object in different time.
So suppose car has some mass M kg
It is given that final velocity of the object is =0 as the car comes to rest,
suppose initial velocity is v
Therefore, F=[M×(0-v)]/t
=> F= -M×(v/t)
=> F= -Ma because acceleration =velocity/time
Here negative sign shows that force acts on the person in opposite direction of frictional force applied by the road.
Hence, when a car traveling with a constant velocity quickly comes to rest. while slowing down, the passengers inside the car are pushed forward by the force - Ma.
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using your spectroscope, you observe a light source and see several strong, distinct lines. is this source continuous or discrete? given a line with a wavelength corresponding to 500 nm, calculate the energy of the emitted light.
With the aid of your spectroscope and E = (h*c)/wavelength, you can determine the energy of the emitted light to be 3.97 x 10-19.
What does a mean in terms of wavelength?mathematical representation The movement v (in the x direction), frequency f, and wavelength of traveling sinusoidal waves are frequently expressed mathematically as follows: where y is the value of the wave at any place x and time t, and A is the wave's amplitude.
What is the wavelength measurement unit?The symbol for the wavelength in the SI is typically m, or one metre. The multiples or fractions of something like a meter are also employed for measuring wavelength. Notably, when wavelengths are a significant attribute, exponential powers of 10 are employed. Shorter wavelengths are given as negative exponentials.
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why do you think it was initially difficult for astronomers to entertain the possibility that the spectra of quasars are highly red shifted
In the 1960s, it was proposed that quasars could be compact objects ejected quickly from the cores of adjacent regular galaxies.
Why did it take so long for astronomers to comprehend quasar spectra?Nobody anticipated that an object that resembles a star could have its spectral lines so drastically redshifted.
It's a concept that makes sense when you consider that as light's wavelength is extended, the spectral lines appear to have "shifted" toward the red portion of the spectrum.
Sound waves experience a similar effect when a source moves in relation to an observer.
As a result of the emission lines being "red shifted," astronomers initially had trouble distinguishing them in quasar spectra at optical wavelengths.
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consider the boyle's law apparatus. suppose that the volume of the gas is 25 cc and the pressure is 30.0 lbs/in2. show answer no attempt if the plunger is depressed so that the volume is decreased to 10.0 cc, what will the pressure be in lbs/in2?
75 lbs/in^2 is the value of pressure. The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure.
What is pressure?In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area.
The force delivered perpendicularly to an object's surface per unit area across which that force is dispersed is known as pressure. In comparison to the surrounding pressure, gauge pressure is the pressure. Pressure is expressed using a variety of units.
P1V1=P2V2
The amount of force applied to a certain region is referred to as pressure. Absolute pressure, gauge pressure, and differential pressure are the three categories into which pressure is divided.
The distance between that point and the surface, the liquid's density. Gravitational acceleration are the factors of pressure.
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the earth exerts a gravitational force on a person standing on the surface. the person also exerts a gravitational force on the earth. based on newton's laws, how do these two forces compare?
Answer:
F = M a Newton's Second Law
The person is undergoing no acceleration, thus the upwards force of the earth on the person exactly balances the attraction of the earth on the person's center of gravity
(Also, Newton's third law that for every action there is an opposite and equal reaction}
how do permanent dipoles compare to dispersion forces and temporary dipoles in terms of formation and strength?
Permanent dipoles are created by the interaction of permanent charges, which are charges that do not lose their charge when they are separated, as opposed to temporary dipoles, which form when two unlike poles come into contact and then separate.
Permanent dipoles are strong; they can be formed even when there is no electrical current present. The strength of a permanent dipole depends on its size and intensity, but it's typically much stronger than a temporary dipole.
Dispersion forces are weaker than both permanent dipoles and temporary dipoles. They can be generated by any two objects whose surfaces have different charges, regardless of whether there is an electrical current present or not.
The strength of dispersion forces depends on the size and intensity of the charged object, but it's typically much weaker than a permanent or temporary dipole.
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consider a monochromatic electromagnetic plane wave propagating in the z direction. at a particular point in space, the magnitude of the electric field has an instantaneous value of 442 v/m in the positive x-direction. what is the instantaneous magnitude of the poynting vector at the same
The instantaneous magnitude of the poynting vector will be 518.48.
To calculated magnitude of the poynting vector, we require to use the formula of poynting vector
S = E*B/u
since B = E/c
so , S = E^2 /uc
where , E is the electric field and B is the magnetic field ,
S is the poynting vector magnitude and c is the speed of light.
Putting the values, we get
S = (442x442) /uc
S = 195364 / uc
uc = 4πx[tex]10^{-7}[/tex] x 3 x [tex]10^{8}[/tex]
uc = 376.8
Now, S = 195364/376.8
S = 518.48
Hence The instantaneous magnitude of the poynting is 518.48.
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consider the properties of a string that has a length of 1.0 m and a wave speed of 45 m/s. show answer no attempt what is the fundamental frequency in hz of the string?
By using simple harmonic motion, it can be calculated that The fundamental frequency of the string will be 45Hz.
The wavelength of the standing wave for any given harmonic is related to the length of the string.
Considering the wavelength is equal to the length of the string. It means one wavelength is equal to the length of the string. If more wavelength is made then answer would be different.
so we have wavelength = 1m
wave speed = 45 m/s
as we know that from simple harmonic motion,
frequency = speed/wavelength
frequency = 45/1
frequency = 45 Hz
Hence frequency of the string is 45 Hz.
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A water trough is 10 m long and a cross-section has the shape of an isosceles trapezoid that is 30 cm wide at the bottom, 80 cm wide at the top, and has height 50 cm. if the trough is being filled with water at the rate of 0.2 m3/min, how fast is the water level rising when the water is 30 cm deep?
Answer:
Approximately [tex]0.033\; {\rm m\cdot min^{-1}}[/tex] (meters per minute.)
Explanation:
Let [tex]A[/tex] and [tex]B[/tex] denote the bottom and top width of the trough, respectively. It is given that [tex]A = 30\; {\rm cm} = 0.30\; {\rm m}[/tex] and [tex]B = 80\; {\rm cm} = 0.80\; {\rm m}[/tex]. Let [tex]H[/tex] denote the height of this trough; [tex]H = 50\; {\rm cm} = 0.50\; {\rm m}[/tex].
Let [tex]h[/tex] denote the current depth of the water in this trough.
Let [tex]b[/tex] denote the current width of the surface of the water. As water fills the trough, this width increases from [tex]A = 0.30\; {\rm m}[/tex] (width of bottom of trough) to [tex]B = 0.80\; {\rm m}[/tex] (width of top of trough.)
The relationship between [tex]b[/tex] and [tex]h[/tex] is linear:
[tex]\displaystyle b = \frac{h}{H}\, (B - A) + A[/tex].
Cross-section area of water in this trough:
[tex]\begin{aligned}(\text{area}) &= \frac{1}{2}\, (A + b) \, h \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h \\ &= A\, h + \frac{1}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].
Let [tex]L[/tex] denote the length of this trough; [tex]L = 10\; {\rm m}[/tex].
Let [tex]v[/tex] denote the volume of water in this trough:
[tex]\begin{aligned}v &= (\text{area})\, L \\ &= \frac{1}{2}\, (A + b) \, h\, L \\ &= \frac{1}{2}\, \left(A + \frac{h}{H}\, (B - A) + A\right)\, h\, L \\ &= A\, L\, h + \frac{L}{2\, H} (B - A)\, h^{2}\end{aligned}[/tex].
Differentiate both sides implicitly with respect to [tex]v[/tex]:
[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}\left[A\, L\, h + \frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].
[tex]\displaystyle \frac{d}{dv}[v] = \frac{d}{dv}[A\, L\, h] + \frac{d}{dv}\left[\frac{L}{2\, H}\, (B - A)\, h^{2}\right][/tex].
[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{2\, H}\, (B - A)\, 2\, h\, \frac{dh}{dv}[/tex].
(Note that [tex]A[/tex], [tex]B[/tex], [tex]L[/tex], and [tex]H[/tex] are constants.)
Rearrange this equation to obtain:
[tex]\displaystyle 1 = A\, L\, \frac{dh}{dv} + \frac{L}{H}\, (B - A)\, h\, \frac{dh}{dv}[/tex].
[tex]\displaystyle 1 = \left(A\, L + \frac{L}{H}\, (B - A)\, h \right)\, \frac{dh}{dv}[/tex].
[tex]\displaystyle \frac{dh}{dv} = \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}[/tex].
Let [tex]t[/tex] denote time. It is given that the trough is being filled at a rate of [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]. In other words:
[tex]\displaystyle \frac{dv}{dt} = 0.2\; {\rm m^{3}\cdot min^{-1}}[/tex].
Apply the chain rule to find the rate at which [tex]h[/tex] is changing with respect to time [tex]t[/tex]:
[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \end{aligned}[/tex].
Substitute in [tex]A = 0.30\; {\rm m}[/tex], [tex]L = 10\; {\rm m}[/tex], [tex]H = 0.50\; {\rm m}[/tex], [tex]B = 0.80\; {\rm m}[/tex], [tex]h = 0.30\; {\rm m}[/tex] (converted from [tex]30\; {\rm cm}[/tex]), and that the rate of change in [tex]v[/tex] is [tex]0.2\; {\rm m^{3}\cdot min^{-1}}[/tex]:
[tex]\begin{aligned} \frac{dh}{dt} &= \frac{dh}{dv}\cdot \frac{dv}{dt} \\ &= \frac{1}{\displaystyle A\, L + \frac{L}{H}\, (B - A)\, h}\cdot \frac{dv}{dt} \\ &= \frac{0.2\; {\rm m^{3}\cdot min^{-1}}}{\displaystyle 0.30\; {\rm m} \times 10\; {\rm m} + \frac{10\; {\rm m}}{0.60\; {\rm m}}\, (0.80\; {\rm m} - 0.30\; {\rm m}) \, 0.30\; {\rm m}} \\ &=0.033\; {\rm m\cdot min^{-1}} \end{aligned}[/tex].
In other words, the depth of the water in this trough increases at a rate of approximately [tex]0.033\; {\rm m \cdot min^{-1}}[/tex] (meters per minute.)
Which will be attracted to (or repelled by) a magnet?
Check all that apply.
A. An electromagnet
B. An iron pipe
C. A copper wire not carrying current
D. A negatively charged piece of silver
E. An aluminum wire carrying current
Things which will be attracted to (or repelled by) a magnet are
An iron pipe
A negatively charged piece of silver
An aluminum wire carrying current
What is a repelling and attracting ?According to the "rule of attraction of magnets," magnets will attract one another when their south poles are brought near together. According to the "rule of magnet repulsion," magnets repel one another when their respective north poles are brought close to one another.
Electrostatic forces are responsible for the attraction and repulsion between charged objects. When two bodies are not in contact, electrostatic force can still be present.Learn more about Magnet here:
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Answer:
the answer should be: An Electromagnet, An Iron Pipe, and An Aluminum Wire Carrying Current
Explanation:
took the test
How is the 12 volt potential difference of the car battery shared between the six heating
elements?
Answer:
To say we have a 12.0-V battery implies that its terminals have a 12.0-V likely contrast. At the point when such a battery moves charge, it puts the charge through an expected distinction of 12.0 V, and the charge is given an adjustment of potential energy equivalent to Δ U = q Δ V .
six cells
There are six cells to a 12 volt lead corrosive battery. A battery cell's greatest capacity to convey current (amps).
A 12 V lead-stockpiling battery comprises of six cells, each delivering roughly 2 V. The genuine standard cell potential is acquired from the standard decrease possibilities. In light of the positive and negative charges on the battery terminals, an electric potential contrast exists between them.A 6 cell lithium particle pack has an ostensible voltage of 21.6V to 22.2V and a most extreme charge voltage of 25.2 volts
Explanation:
One volt is the likely contrast between two focuses in an electric circuit when 1 joule of work is finished to move charge of 1 coulomb from one highlight other.A completely energized 12 volt battery ought to peruse at 12.6 volts on the multimeter. In the event that the perusing is lower than this, you'll need to accuse your battery of either a battery charger or by taking your vehicle for a drive.A 12 volt 105 AH battery can supply (under wonderful circumstances and to 100 percent release) 12 x 105, or 1260 Watt-hours (1.26 kWh).between 5 to 8 hoursThe short response is that a 200-watt sunlight based charger that creates 1 amp of current takes between 5 to 8 hours to charge a 12-volt vehicle battery totally.A 100Ah 12 volt profound cycle lead-corrosive battery can run a 100W ceaseless DC load for 6 hours whenever released to half as suggested. A 100Ah 12 volt lead-corrosive profound cycle battery could run a 100W evaluated AC food-blender for 7 hours with half Profundity of Release.Voltage contrast among An and B, VAB=(I1+I2)6=(2−1)6=6 volts.what is the acceleration of the earth due to jupiter's gravitational attraction at their average separation?
acceleration of the earth due to jupiter's gravitational attraction at their average separation Is 246590.053 metre/sec²
what is acceleration due to gravity?Acceleration due to gravity is the acceleration gained by an object due to gravitational force. Its SI unit is m/s 2. It has both magnitude and direction, hence, it’s a vector quantity. Acceleration due to gravity is represented by g.
Enter the mass, radius and “x” for the unknown value in the respective input field
Now click the button “Calculate the Unknown” to get the acceleration due to gravity
Finally, the gravitational acceleration will be displayed in the output field.
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a basketball (hollow sphere) starts from rest and rolls down a hill without slipping. the hill is 70 meter high. total mechanical energy is conserved. find the linear speed of the basketball at the bottom in m/s.
The linear speed of the basketball at the bottom in m/s is 37.41 m/s.
The mechanical energy basket ball is conserved and the basket ball starts from rest. and roll down a hill of height 70m.
If mechanical energy is conserved,
Potential energy at top + kinetic energy at top = potential energy at bottom + kinetic energy at bottom.
At bottom, there is no potential energy, and at top, there is no kinetic energy.
Potential energy at top = kinetic energy at bottom.
Mgh = 1/2Mv²
M is the mass of the basketball,
v is the linear speed at the bottom,
h is the height of the ball.
Putting values,
v = √(2gh)
v = √(2x10x70)
v = 37.41m/s.
The speed of the basketball at the bottom is 37.41 /s.
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On a wet road, is a higher coefficient of friction on the tires safer or a lower one and pls explain I don’t get it
On a wet road, a higher coefficient of friction on the tires is safer as compared to a lower coefficient of friction.
What are friction and its coefficient?Friction is defined as a force that resists the sliding or rolling of one object over another object. The coefficient of friction refers to a measure of the amount of friction present between two surfaces. When you calculate a coefficient of friction, you're calculating the resistance to motion at the interface of two surfaces of materials.
On dry surfaces, you have a high coefficient of friction of about 0.9, but driving on wet roads would be dangerous because the wet road coefficient is very low about 0.1.
So we can conclude that a higher coefficient of friction is recommended for a safe journey.
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The weight of the builder and new roof tiles is 640 N. The slope is at 30 degrees on the given diagram.
Draw a diagram to calculate the components of the total weight
parallel and perpendicular to the slope of the roof.
The parallel component of the total weight is 320 N.
The perpendicular component of the total weight is 554.3 N.
What is the components of the total weight?
The components of the total weight of the builder and new roof tiles can be parallel component or perpendicular component.
The parallel component of the total weight of the builder and new roof tiles is calculated as follows;
Fn ( parallel ) = W sin ( θ )
where;
W is the total weight of the builder and the new roof tileθ is the slope or angle of inclination of the total weightFn ( parallel ) = W sin ( θ )
Fn ( parallel ) = 640 sin ( 30 )
Fn ( parallel ) = 320 N
The perpendicular component of the total weight of the builder and new roof tiles is calculated as follows;
Fn ( parallel ) = W cos ( θ )
where;
W is the total weight of the builder and the new roof tileθ is the slope or angle of inclination of the total weightFn ( perpendicular ) = W cos ( θ )
Fn ( perpendicular ) = 640 cos ( 30 )
Fn ( perpendicular ) = 554.3 N
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ii The firefighter slides through the vertical pipe with length h=15m. Its potential energy at the top is 1000J. Sketch a graph showing how the potential energy of the firefighter's weight changes with height. In the same graph, sketch the change in kinetic energy with height.
help
Both graphs of energy are attached in the answer.
What is energy?The ability of a body to do tasks may be referred to as energy. The joule is the SI unit of energy (J). or 1 kJ Equals 1000 J. energy guises: Potential energy, kinetic energy, thermal energy, chemical energy, and light energy are some of the several types.
Potential energy of a man due to gravity can be express as = mass × acceleration due to gravity × height.
Hence, graph, that shows potential energy of a firefighter slides through the vertical pipe with length, will be linearly decreasing type.
As, total energy is conserved, graph, that shows kinetic energy of a firefighter slides through the vertical pipe with length, will be linearly increasing type.
Graphical representation of both linearly increasing and linearly decreasing is attached here.
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what is a strength of a magnetic field for a current loop with 5 a current and diameter of 1.0 m from an electric wire?
0.80tesla is a strength of a magnetic field.
how strong is the magnetic field, exactly?At a distance r from the wire, a current I flowing through a long, straight wire generates a magnetic field with intensity H=I/2r. In other words, the field's strength is inversely proportional to the distance from the wire.
How is field strength determined?Newtons per coulomb (N/C) or volts per meter (V/m) are the SI units for measuring electric field strength. E = F/q, where F is the force felt by a very small test charge q placed in a field E in a vacuum, gives the force felt by the charge.
given,
I = 5A , r = 1.0m
H=I/2πr
H = 5 / 2*3.14*1.0
H = 0.80tesla
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Approximately how much kinetic energy does an object have from its motion if its mass is 150-kg and it is moving at a speed of 5. 0 meters per second?.
Answer:
1875 J
Explanation:
kinetic energy= [tex]\frac{1}{2}[/tex]×mass×velocity²
K.E=[tex]\frac{1}{2}[/tex]mv²
K.E=[tex]\frac{1}{2}[/tex]×150×5.0²
K.E= 1875 J
a 5.4 kg cat and a 2.4 kg bowl of tuna fish are at opposite ends of the 4.0 m -long seesaw. how far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced?
0.88m to the left, where the 4.0 kg cat must be to keep the seesaw balanced.
The concept of Torque and the principle of moment are applied here to understand that the 4.0 kg cat and the bowl of tuna fish will balance the seesaw as long as the 4.0 kg cat stays on the left of the pivot.
m (big cat) = 5.4 kg
m (bowl) = 2.4 kg
m (small cat) = 4.0 kg
From the figure,
5.4 kg x (x m) = 2.4kg x (2m)
x = 4.8 / 5.4
=> 0.88m
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HELP! will mark brainliest
State your hypothesis. Make sure your hypothesis is worded as an if, then statement and relates the independent variable of wrong length to the dependent variable of wave frequency.
If I increases the string length, the frequency will decreases and vise versa.
What is frequency?In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.
For string wave, we know that,
frequency, n = [tex]\frac{1}{lD}[/tex][tex]\sqrt{\frac{T}{\pi \rho} }[/tex]
where, l = length of the string.
D = diameter.
T = tension
ρ = density of the material.
Hence, we can see that, frequency of the wave is inversely proportional to the length of the wire. So, on increasing string length, frequency of the wave will decreases.
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