please complete both question
this is urgent so please try and complete it as fast as possible
due today
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Answer:
[tex]\textsf{a)} \quad x=\dfrac{25(7-\sqrt{13})}{3}=28.2870727\; \sf mm[/tex]
[tex]\textsf{b)} \quad V=379037.8082\; \sf mm^3[/tex]
Explanation:
[tex]\boxed{\begin{minipage}{5 cm}\underline{Volume of a rectangular prism}\\\\$V=w\:l\:h$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width of the base. \\ \phantom{ww}$\bullet$ $l$ is the length of the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
Given:
l = 200 mmw = 150 mmThe dimensions of the rectangular prism in terms of x are:
Length = 200 - 2xWidth = 150 - 2xHeight = xSubstitute these values into the formula for volume to create an equation in terms of x:
[tex]\begin{aligned}\implies V&=(150-2x)(200-2x)x\\&=(30000-700x+4x^2)x\\&=4x^3-700x^2+30000x\end{aligned}[/tex]
To find the value of x that will give the maximum volume, differentiate the equation for volume.
[tex]\begin{aligned}\implies \dfrac{\text{d}V}{\text{d}x}&=3 \cdot 4x^{3-1}-2 \cdot 700x^{2-1}+30000x^{1-1}\\&=12x^2-1400x+30000\end{aligned}[/tex]
Set the derivative to zero and solve for x using the quadratic formula:
[tex]\implies x=\dfrac{-(-1400) \pm \sqrt{(-1400)^2-4(12)(30000)}}{2(12)}[/tex]
[tex]\implies x=\dfrac{1400 \pm \sqrt{520000}}{24}[/tex]
[tex]\implies x=\dfrac{1400 \pm \sqrt{40000 \cdot 13}}{24}[/tex]
[tex]\implies x=\dfrac{1400 \pm \sqrt{40000}\sqrt{13}}{24}[/tex]
[tex]\implies x=\dfrac{1400 \pm 200\sqrt{13}}{24}[/tex]
[tex]\implies x=\dfrac{175\pm 25\sqrt{13}}{3}[/tex]
[tex]\implies x=\dfrac{25(7\pm\sqrt{13})}{3}[/tex]
To determine which value of x will give the maximum volume, differentiate again:
[tex]\begin{aligned}\implies \dfrac{\text{d}^2V}{\text{d}x^2}&=2 \cdot12x^{2-1}-1400x^{1-1}+0\\&=24x-1400\end{aligned}[/tex]
Substitute both values of x into the second derivative:
[tex]x=\dfrac{25(7+\sqrt{13})}{3} \implies \dfrac{\text{d}^2V}{\text{d}x^2}=721.1102551 > 0\implies \sf minimum[/tex]
[tex]x=\dfrac{25(7-\sqrt{13})}{3} \implies \dfrac{\text{d}^2V}{\text{d}x^2}=-721.1102551 < 0\implies \sf maximum[/tex]
Therefore, the value of x which will give the maximum volume is:
[tex]x=\dfrac{25(7-\sqrt{13})}{3}=28.2870727\; \sf mm[/tex]
To find the maximum volume of the box, substitute the found value of x into the equation for volume:
[tex]\begin{aligned}\implies V_{\sf max}&=4\left(\dfrac{25(7-\sqrt{13})}{3}\right)^3-700 \left(\dfrac{25(7-\sqrt{13})}{3}\right)^2+30000 \left (\dfrac{25(7-\sqrt{13})}{3}\right)\\\\&=379037.8082\; \sf mm^3\end{aligned}[/tex]
The dimensions of the box with maximum possible volume will be:
Length = 143.4 mm (1 d.p.)Width = 93.4 mm (1 d.p.)Height = 28.3 mm (1 d.p.)Related Questions
a 65-kg boy and a 45-kg girl use an elastic rope while engaged in a tug-of-war on an icy, fricktionless surface. if the acceleration fo the girl toward the boy is 3.0 m/s^2, find the magnitude of the acceleration of the boy toward the girl.
Answers
The magnitude of the acceleration of the boy toward the girl was 0.82 m/s².
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
mass of girl = 45 kg
acceleration of girl = 3 m/s²
F = ma
= 45 × 3
= 135 N
According to newton's third law equal but the opposite force is applied to the boy towards the girl.
135 = 65 × a
a = 135/165
= 0.82 m/s²
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. Movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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a wire with a resistance of 6.0 () is drawn out through a die so that its new length is three times its original length. find the resistance of the longer wire, assuming that the resistivity and density of the material are not changed during the drawing process.
Answers
R0 is the original resistance. Thus, R = 9(6.0Ω) = 54 Ω.
Electric current flowing through and potential difference across an electrical component can be used to determine its resistance.
Ohm's Law, which depicts the connection between potential difference, current, and resistance:
V = I R, where V is the potential difference (in volts), V I is the current (in amps), A R is the resistance (in ohms), and
The following equation can be changed to determine the resistance:
R = V ÷ I
According to Ohm's equation, I = V/R, the behaviour of the material may be predicted if the resistance remains constant over a significant range of voltage. The definition above applies to both AC and DC applications of resistors, despite the fact that it deals with DC current and voltage.
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you are testing a new car using crash test dummies. consider two ways to slow the car from 90 km/h (56 mi/h) to a complete stop: (i) you let the car slam into a wall, bringing it to a sudden stop. (ii) you let the car plow into a giant tub of gelatin so that it comes to a gradual halt. in which case is there a greater impulse of the net force on the car?
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In a car crash test, whether you let the car slam the wall or let the car plow into a tub of gelatin, the impulses are the same. However, you and your car will experienced greater force if the car slam the wall.
The impulse is defined as the change in momentum.
I = Δp = m . Δv
Where:
I = impulse
p = momentum
m = mass
v = velocity / speed.
From the Newton's second law of motion:
m = F/a
Where:
F = force
a = acceleration
Hence,
I = F / a . Δv
I = F . Δv/a = F . t
Where t = time period of the exerted force.
The initial and the final velocities of the car are the same for both cases. Hence, from the definition of impulse as the change of momentum, the impulses on both cases are the same. However, if the car experienced sudden stop, which means the force exerted on it in only a very short time, the exerted force on the car will be very large.
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How will this surfboard’s streamlined shape affect its speed?
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Answer: Speed increases
Explanation:
A streamlined shape reduces the surface area making contact with the fluid (in this case, water). Less surface area making contact with the fluid means friction is reduced. The lower the force of friction, the lower the "drag" on the object in motion, hence the faster it can go. The force of friction is always in the opposite direction of the motion of the object.
place the flat sides of the polarizers together and observe the room lights through both polarizers at the same time. rotate one of the polarizers until the intensity is minimum. is any light transmitted through both polarizers when the intensity is minimum? if some light is transmitted, does it have any color? if so, what is the color, and what do you conclude about how the polarizers behave as a function of wavelength (color)?
Answers
I = I° cos²∅
When ∅ is 0° then intensity is maximum
When ∅ is 90° then intensity is minimum.
When two polarizer are combined in such a way that their crystallographic axes are parallel, the resulting intensity is at its highest, and you can see the light's original color as it passed through intensity the first polarizer. In this scenario, if the polarizer is colored and we are looking at the object through the polariser, the color that corresponds to the superposed wave that was created by the object's radiated wave (object's color) and the polariser's color will be the color of the object. On a beach, this is what happens when you wear polarized intensity sunglasses on a sunny day: the color of the objects appears differently than when you are wearing sunglasses.
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a car is moving at a constant tangential speed of 50.0 m/s and takes one lap around a circular track in a time of 73.5 s. what is the magnitude of the acceleration of the car?
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The acceleration of the car moving at the speed of 50 m/s and
completing one lap in the time of 73.5 seconds is 0.68 m/s²
The speed of the car = 50 m/s
The time taken to complete one lap = 73.5 s
The acceleration of the car can be found using the formula,
a = s / t
where a is the acceleration of the car
s is the speed of the car
t is the time taken to complete
Let us substitute the known values in the above equation, we get
a = 50 / 73.5
= 0.68 m/s²
Therefore, the acceleration of the car is 0.68 m/s²
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an automobile manufacturer claims that its product will travel 1.2 km in 20 s, starting from rest. what is the magnitude of the constant acceleration required to do this? answer in units of m/s 2 .
Answers
The amount of constant acceleration needed to accomplish this is:
6 m/s2.
What is constant acceleration?A velocity change that does not alter over time is referred to as a constant acceleration. A car's average acceleration remains steady at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Given;
The car will drive a distance of d = 1.2 km
To convert 1.2 km to m
1.2 x 1000
= 1200 m.
beginning speed of the car, where u = 0.
Travel time, t = 20 s
To get the constant acceleration, use the following kinematic equation;
d = ut + ¹/₂at²
1200 = 0 + ¹/₂(20)²a
1200 = 400 /2
1200 = 200a
a = 1200 / 200
a = 6 m/s²
Therefore, 6 m/s² of constant acceleration is needed to accomplish this.
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The amount of constant acceleration needed to accomplish this is 6 m/s2.
What is constant acceleration?A velocity change that does not alter over time is referred to as a constant acceleration. A car's average acceleration remains steady at 20 mph per minute even if it increases its speed by 20 mph in one minute and another 20 mph the next.
Given;
The car will drive a distance of d = 1.2 km
To convert 1.2 km to m
1.2 x 1000
= 1200 m.
beginning speed of the car, where u = 0.
Travel time, t = 20 s
To get the constant acceleration, use the following kinematic equation;
d = ut + ¹/₂at²
1200 = 0 + ¹/₂(20)²a
1200 = 400 /2
1200 = 200a
a = 1200 / 200
a = 6 m/s²
Therefore, 6 m/s² of constant acceleration is needed to accomplish this.
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what is the theoretical effect on the period when you change the revolving mass while keeping the radial force and radius the same?
Answers
Changing the revolving mass and keeping the radial force same the Period will alter. According to variations in revolving mass.
What is radial force?A force applied in a radial direction toward or away from the centre is referred to as a radial force. When a massed body or fluid element moves in a circular motion, an equilibrium between the centripetal force acting from the inside and the centrifugal force acting from the outside is created in the radial direction.
F = mv²/r
F = Force required to keep the mass in a circle
m = mass
v = velocity of the mass
r = radius of the circle.
Since, v = 2πr/t
Where t = period
π = pie
Substitute the value of v
We have, F = m(2πr/t)²/r
F = 4π²r²m/t²r
F = 4π²rm/t²
If the path radius and radial force are kept constant then mass is directly proportional to period
m ∝ t
Which means if mass increases period will increase as well.
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suppose you exert a force of 165 n tangential to a 0.23- m-radius 73 kg grindstone (a solid disk). what is the angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis? enter only the number of your answer with 3 or more significant figures.
Answers
The angular acceleration (in si unit) if there is an opposing frictional force of 30 n exerted 0.16 m from the axis is 29.5 rad/s²
Torque , t = force × perpendicular radius= 165 × 0.23=37.95 Nm
moment of inertia of disk = 0.5MR²
T=I*∝
37.95=0.5×73×0.23∝
∝=29.56 rad/s²
Net torque Tn=37.95-30*0.016=37.4
Tn=0.3MR²∝
37.95=0.5×73×0.23∝
∝=29.5 rad/s²
The term "angular acceleration" also applies to the angular acceleration. It is a quantitative way of expressing how quickly angular velocity changes over time. The change in angular velocity that a spinning object experiences per unit of time is expressed quantitatively as angular acceleration, also known as rotational acceleration. It is a vector quantity that has two distinct directions or senses as well as a component of magnitude. The angular acceleration, commonly denoted by the symbol and expressed in radians per second per second, is the time rate of change of the angular velocity.
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two tugboats pull a disabled ship. each boat exerts a constant force of 1.80x106n, on 20 degrees west of north and the other 20 degrees each of north. they pull the ship 0.75km toward the north. what is the total work done on the ship? do not include units.
Answers
The force exerted continuously on a specific object in a direction parallel to the direction of the acceleration caused in the body is referred to as a constant force.
Explain about the constant force?A massive body will accelerate or alter its velocity at a constant rate when a constant force is applied to it, according to Newton's second law. In the simplest case, when a force is applied to an object at rest, the object accelerates in the direction of the applied force.
In order to verify that the physical equations are valid, we employ a set of fundamental invariant values called physical constants. These constants are mostly seen in nature and in broad physical study.
The force of gravity is an excellent illustration of a constant force. An object's mass times its gravitational acceleration on Earth always equals the force of gravity acting on that object (9.81ms2 9.81 m s 2 ).
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how many high voltage cables supply electrical power to the hv components at the front of the vehicle?
Answers
Option B. Can be charged to full capacity by using a special dealer-only high-voltage charger.
Voltage is the strain from an electrical circuit's energy source that pushes charged electrons (modern-day) through and engages in the loop, allowing them to do paintings inclusive of illuminating light. In quick, voltage = strain, and it's far measured in volts (V).
Voltage, also called an electric-powered strain, electric-powered anxiety, or ability distinction is the difference in electric-powered capacity between two factors. In a static electric field, it corresponds to the work needed in step with a unit of charge to move a take a look at the rate among the 2 points.
Voltage, also called electromotive force, is absolutely electricity consistent with unit fee. In different phrases, voltage is the difference in electric-powered capacity among factors. contemporary is just the rate of drift of electrical fee.
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Disclaimer:- your question is incomplete, please see below for the complete question.
how many high-voltage cables supply electrical power to the hv components at the front of the vehicle?
A. Using the ICE to turn the motor/generator to fully charge the HV battery
B. Can be charged to full capacity by using a special dealer-only high-voltage charger
C. Operating the ICE at idle after returning from a trip
A golfer strikes a golf ball at a 35 degree angle with a vertical velocity of 25 m/s. what is the initial resultant velocity of the golf ball the moment it becomes airborn?
Answers
The resultant velocity of the golf ball would be 30.525m/s.
Velocity is a vector quantity so we can deduce velocity components in two form
V = VcosФ + VsinФ
the vertical component is nothing but VcosФ , because it makes 35 degree angle with vertical velocity and the horizontal component is VsinФ.
So according to the question, we can write
25m/s = VcosФ
25m/s = Vcos35
Since cos35 = 0.819, so putting the appropriate values, we get
V = 25/0.819
V = 30.525 m/s
Hence the resultant velocity of the golf ball would be 30.525 m/s.
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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
Answers
Answer:its b
Explanation: i took the test
a) what is the water pressure as it exits into the air? b) what is the height, h of the standing column of water?
Answers
The water pressure as it exits into the air is P2 = Patoms
b) The height, h of the standing column of water is 4.6m
By Bernoulli's principle,
p1 - p2 = ρgh
h = 45 × [tex]10^{3}[/tex] / 1000 × 9.8
h = 4.6m
The relationship between a fluid's speed and pressure is described by Bernoulli's principle, which at first glance seems paradoxical. Many people think that Bernoulli's principle shouldn't be true, but this may be because they don't grasp what Bernoulli's principle actually states. According to Bernoulli's principle, which is stated below: Higher fluid velocity sites will experience less pressure than slower fluid velocity points inside a horizontal fluid flow. Thus, in a horizontal water pipe with a variable diameter, areas of fast-moving water will experience lower water pressure than areas of slow-moving water Since many individuals equate high speeds with high pressures, this may seem paradoxical to them. However, we'll demonstrate in the following section that this is really another way of expressing that water will accelerate if there is greater pressure behind it than in front of it. We will explain how Bernoulli's concept came to be, illustrate it in greater detail, and attempt to lessen its mystique in the part that follows.
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224/88 ra —> 4/2he + a/z x
What is the atomic mass of the new atom
What is the atomic number of the new atom
What is the symbol of the new atom
What type of decay is demonstrated here
Answers
Atomic mass = 220
Atomic number = 86
symbol = 220/86 x
Alpha decay is demonstrated here
The atomic mass of the new atom = a = 224 - 4 = 220
The Atomic number of the new atom = z = 88 - 2 = 86
Symbol of new atom will be = 220/86 x
A radium nucleus undergoes alpha decay to form a different element and an alpha particle .
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what is the underlying principle of seismograph construction? what is the underlying principle of seismograph construction? a heavy weight suspended within a moving box needs to overcome inertia, resulting in a slight delay in the motion of the box after the weight moves. a heavy weight suspended within a moving box needs to overcome inertia, resulting in a slight delay in the motion of the weight after the box moves. a moving box containing a heavy weight needs to overcome inertia, resulting in a slight delay in the motion of the box after the weight moves. a moving box containing a heavy weight needs to overcome inertia, resulting in a slight delay in the motion of the weight after the box moves.
Answers
A heavy weight suspended within a moving box needs to overcome inertia, resulting in a slight delay in the motion of the weight after the box moves. Option B.
The principle underlying the construction of a seismometer is to have a heavy weight suspended from a spring on a pedestal or inside a movable box. A seismograph is an instrument that records and measures the details of an earthquake. A seismograph uses a seismograph to record data.
Elastic deformation bends an object, whereas repulsion returns it to its original shape. This instrument is nothing more than an oscillating rod or pendulum that begins to vibrate when a tremor occurs. The vibration system has a pin. The pen records seismic waves on a sheet of paper that moves underneath. By studying these waves scientists can create a complete map of earthquakes.
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AP physics 1: Extra points!!
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Tension force, Friction and gravity are acting on acrobat player while hanging in middle.
Tension is a contact force that is transmitted via a rope, thread, wire, or other similar material when pressures on the opposing ends are pulling on it. For example, the rope holding a tire swing to a tree limb is strained. The rope is pulled upward by a branch that is fighting the rope's tug tension, which is merely a pulling force, while the rope is pulled downward by gravity. Pushing on a loose rope creates no strain. As a result, the force of tension must always be represented in the direction that the string is pulling the object in a free-body diagram.
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what is the final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest?
Answers
The final velocity (in m/s) of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest will be 31.30 m/s
given
initial velocity = 0
displacement = s = 50 m
using kinematics equation
2as = [tex]v^{2} - u^{2}[/tex]
2* (g) * s = [tex]v^{2}[/tex] - 0
[tex]v^{2}[/tex] = 2 * (9.8) * 50
v = 31.30 m/s
The final velocity will be v = 31.30 m/s
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a 1.1 kg ball swings from a string in a vertical circle such that it has constant sum of kinetic and gravitational potential energy. ignore any friction forces from the air or in the string. what is the difference in the tension between the lowest and highest points on the circle? give a positive answer in n.
Answers
The answer is 82.32N
The difference in the tension between the lowest and highest points on the circle is solved here below.
james bond is trying to jump from a helicopter into a speeding corvette to capture the bad guy. the car is going 30.0 m/s and the helicopter is flying completely horizontally at 100.0 m/s. the helicopter is 120 m above the car and 440 m behind the car. how long must james bond wait before jumping in order to safely make it into the car? use 3 sf
Answers
James Bond should must wait for 6.82 second before jumping in order to safely make it into the car.
The speed of the car of the bad guy is 30m/s.
The speed of the helicopter of James Bond flying is 100m/s. Helicopter is flying at a height of 120m and it is behind 440m of the car.
The speed of the helicopter relative to the car is 70m/s.
So, with the speed James Bond has to jump into the car which is at a depth of 120m and at horizontal distance of 440m.
Assuming that James bond jump directly vertically down into the car.
We can write,
Time taken by the helicopter to cover the distance of 440 meters.
Time = distance/relative speed
Time = 440/70
Time = 6.82 seconds.
So, James Bond should wait for 6.82 seconds.
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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.
Answers
The key observation enabled Edwin Hubble to prove this by observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.
American astronomer Edwin Powell Hubble lived from November 20, 1889, through September 28, 1953. He was a significant contributor to the development of observational cosmology and extragalactic astronomy.
Hubble established that many objects formerly believed to be "nebulae" or clouds of gas and dust, were actually galaxies outside the Milky Way. He scaled galactic and extragalactic distances using the strong direct correlation between a classical Cepheid variable's luminosity and pulsation time, which was found in 1908 by Henrietta Swan Leavitt.
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two long parallel wires, each of radius , whose centers are a distance apart carry equal currents in opposite directions. what is the self-inductance of a length of such a pair of wires? you may neglect the flux within the wires themselves.
Answers
The self inductance of a length of such a pair of wires is
[tex]\frac{\mu_0}{\pi} \ln \left(\frac{d-a}{a}\right)[/tex]
How to calculate the self-inductance of a length of such a pair of wires?Finding the magnetic field's constant current I and variable radius r due to one of the wires using Ampere's law
[tex]$\mu_0 I=\oint \vec{B} \cdot \vec{d} \mathrm{l}$[/tex]
[tex]$\begin{aligned} &=\int_0^{2 \pi} \mathrm{Br} d \theta \\ \mathrm{I} &=\mathrm{B}(2 \pi \mathrm{r}) \\ \mathrm{B} &=\frac{\mu_0 \mathrm{I}}{2 \pi \mathrm{r}} \end{aligned}$[/tex]
Keep in mind that one of the wires will generate the total magnetic flux () twice as much due to the setup's symmetry. The relationship between self inductance and flux is then maintained.
[tex]\begin{aligned}&\phi_{\text {total }}=2 \int_{\mathrm{A}} \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{dA}} \\&=2 \int_{\mathrm{a}}^{\mathrm{d}-\mathrm{a}}\left(\frac{\mu_0 \mathrm{I}}{2 \pi \mathrm{r}}\right) 1 \mathrm{dr}\end{aligned}[/tex]
Фtotal = [tex]$\frac{\mu_0 I l}{\pi} \ln \left(\frac{d-a}{a}\right)$[/tex]
Inductance, L=[tex]\frac{\phi_{\text {total }}}{\mathrm{I}}=\frac{\mu_0 1}{\pi} \ln \left(\frac{\mathrm{d}-\mathrm{a}}{\mathrm{a}}\right)[/tex]
Inductance per unit length Фtotal =[tex]\frac{\mu_0}{\pi} \ln \left(\frac{d-a}{a}\right)[/tex]
Therefore the self-inductance of a length of such a pair of wires is [tex]=\frac{\mu_0}{\pi} \ln \left(\frac{d-a}{a}\right)[/tex]
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. a car going around a curve of radius r at a speed v experiences a centripetal acceleration ac. what is its acceleration if it goes around a curve of radius 3r at a speed of 2v?
Answers
The acceleration of the car that goes around a curve of radius 3r at a speed of 2v is 4 / 3 ( ac )
ac = v² / r
ac = Centripetal acceleration
v = Linear / tangential velocity
r = Radius of curve
This the acceleration of the car that goes around a curve of radius r and velocity v.
For a car that goes around a curve of radius 3r at a speed of 2v,
ac' = ( 2v )² / 3r
ac' = 4v² / 3r
ac' = 4 / 3 ( ac )
Therefore, the acceleration of the car that goes around a curve of radius 3r at a speed of 2v is 4 / 3 ( ac )
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he weight of a body is 50N. how much force is needed to move it vertically upward with 5ms-2 acceleration
Answers
5.5 Newton force is needed to move it vertically upward with 5ms-2 acceleration
m=5.1 kg
a= 5m/s²
F=ma
F=5.1×5
F=5.5 N
Every action that attempts to maintain, modify, or change the motion of a body is referred to as a force in mechanics. In his Principia Mathematica, Isaac Newton frequently used his three laws of motion to demonstrate the concept of force (1687).
According to Newton's first law, a body will remain in either its resting or equally moving condition along a straight route in the absence of an external force. The second law states that when an external force acts on a body, the body accelerates (changing velocity) in the direction of the force.
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In 1924, edwin hubble proved that the andromeda galaxy lay far beyond the bounds of the milky way, thereby putting to rest the idea that it might have been a cloud within our own galaxy. What key observation enabled him to prove this?.
Answers
The key observation was observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.
Edwin Powell Hubble was an American astronomer. He played a crucial role in establishing the fields of extragalactic astronomy and observational cosmology.
In 1924, Edwin Hubble proved that the Andromeda Galaxy lay far beyond the bounds of the Milky Way, thus putting to rest the idea that it might have been a cloud within our own galaxy. This all he has done by observing individual Cepheid variable stars in Andromeda and applying the period-luminosity relation.
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what type of cloud that has a thin wispy appearance, consists of ice crystals, and often precedes a warm front?
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Cirrus clouds .Since they are made completely of ice crystals descending through the atmosphere, they are wispy.
What weather do cirrus clouds bring?Cirrus clouds are thrown across the sky in strong winds and are thin, wispy clouds.Fair weather may be indicated by a few cirrus clouds, but expanding cover indicates a shift in the weather (an approaching warm front) will take place within the next 24 hours.Being entirely made of ice crystals that have fallen through the atmosphere, they are wispy; if blown horizontally by winds, they take on a distinctive hooked appearance.Prior to a warm front, where the air masses collide at high altitudes, cirrus clouds appear, frequently signaling an impending weather changeCirrus clouds won't affect you if you're flying under visual flight rules because they'll be high above you. Cirrus clouds, which resemble long, thin, wispy white streamers high in the sky, are comprised of ice crystals.Due to their resemblance to a horse's tail, they are frequently referred to as "mare's tails."To learn more about cirrus clouds refer
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a 25-ft long crane supported at its lower end by a pin is elevated by a horizontal cable as shown in the figure. a 250-lb load is suspended from the outer end of the crane. the center of gravity of the crane is 10 ft from the pin, and the crane weighs 200 lb. what is the tension in the horizontal cable?
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By dividing the applied force by the sine of the angle and multiplying the result by the horizontal component of the tension force.
Explain about the tension force?Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in contact, we name these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the objects applying the force.
The process of pulling water from a well is one of the clearest examples of tension forces. It makes use of a rope that is attached to the pulley with one end and the bucket handle with the other. When this rope is stretched by an external force, tension is produced.
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what would happen to the force exerted by the sun on earth if the sun shrank and became half its present size while retaining the same mass?
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The force would be the same. Since gravitational force only varies with object mass and separation
What is called gravitational?The force of gravity, often known as gravitation, affects every material object in the universe.The force of gravity tends to draw any two objects or particles with nonzero mass toward one another.From subatomic particles to galaxy clusters, gravity affects things of all sizes.A mass attracts a mass; the amount of the gravitational force is directly proportional to the masses of the two items and inversely proportional to the square of the distance between the two objects. Gravitational force is an attractive force that exists between all objects with mass.To learn more about Gravitational force refer,
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you are moving toward a stationary observer in your spaceship at 0.5c while shining a light toward the stationary observer. at what speed does the stationary observer measure the light from your spaceship?
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The stationary bystander measures the light coming from your spaceship at the speed of light.
What it refers to is speed. the rate at which the position of an object shifts in any direction. Speed is defined as the rate of the distance traveled to the time needed to cover that distance. Speed is a scalar volume since it just has a direction and no magnitude.
Light is a type of electromagnetic radiation that helps the mortal eye see or makes effects visible. The term" radiation that's visible to the mortal eye" can also be used to describe it. Photons, which are bitsy energy packets, are present in light.
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5. In an emergency, the driver of a 1.3 x 10³-kg car slams on the brakes, causing the car to skid forward on the road. The coefficient of kinetic friction between the tires and the road is 0.97, and the car comes to a stop after travelling 27 m horizontally. Determine the work done by the force of friction during the skidding.
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The work done by the force of friction during the skidding, given that the car comes to a stop after travelling 27 m horizontally is 333660.6 J
How do I determine the work done?We'll begin by obtaining the frictional force. This can be obtained as follow:
Mass (m) = 1.3 x 10³ KgAcceleration due to gravity (g) = 9.8 m/s²Normal reaction (N) = mg = 1.3 x 10³ × 9.8 = 12740 NCoefficient of kinetic friction (μK) = 0.97Frictional force (F) = ?F = μKN
F = 0.97 × 12740
Frictional force = 12357.8 N
Finally, we shall determine the work done by the force of friction. This is illustrated below:
Frictional force = 12357.8 NDistance (d) = 27 mWorkdone (Wd) =?Work done (Wd) = force (F) × distance (d)
Wd = 12357.8 × 27
Wd = 333660.6 J
Thus, we can conclude that the work done by the force of friction is 333660.6 J
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