Answer:1.Check that there are no cracks or defects in the glassware
2.Ensure that the glassware is designed for use with a vacuum
3.Inspect the tubing for any holes
Explanation:
Verify that the glassware is free from cracks and other flaws, verify that the glass is vacuum-compatible before using it, and look for any holes in the tubing.
What is Vacuum?An area devoid of matter is called a vacuum. The adjective vacuum, which means "empty" or "void," is the source of the word. A location with a vapor pressure significantly below atmospheric pressure might be thought of as an approximate representation of such a vacuum.
The term "partial vacuum" is used to describe an imperfect vacuum, such as one that might exist in a research lab or in space, and is frequently used when physicists discuss the ideal test outcomes that would take place in a complete vacuum, which they more often than not simply refer to as "vacuum" or free space.
Contrarily, any area where the pressure is significantly lower than the pressure difference is referred to as a vacuum in engineering is the application of physics.
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This is for Physics module 2 question 5
An archer shoots an arrow at a 77.0 m distant target, the bull's-eye of which is at same height as the release height of the arrow.
(a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 36.0 m/s? (Although neglected here, the atmosphere provides significant lift to real arrows.)
°
(b) There is a large tree halfway between the archer and the target with an overhanging branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
under
over
The arrow be released at an angle of 18 degrees to hit the bull's-eye if its initial speed is 36.0 m/s. The arrow go over the branch.
The path of the arrow is projectile when it is launched by the archer.
The horizontal distance to be covered by the arrow is 77 meters.
The initial velocity is 36m/s while releasing.
(a) We can use the formula,
R = U²sin2A/g
Where,
U is the initial velocity of leopard,
A is the angles at which the leopard jumped.
g is acceleration due to gravity having value 9.8m/s².
Putting all the values,
77 = (36)²sin(2A)/9.8
Sin(2A) = 77×9.8/36×36
Sin(2A) = 0.58
2A = 36°
A = 18°
The angles at which the arrow should be launcher is 18°.
(b) The length of the branch of the tree is 3.5 meters.
Whether is should come it the way or not,
We have to find the height of the arrow.
H = U²Sin(A)/2g.
Where H is the height,
H = 36×36Sin(18°)/2×9.8
H = 36×36×0.3/2×9.8
H = 19.38 meters.
The height of arrow is more than of the height of branch of tree. So it will go over the branch.
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A spring is standing upright on a table with its bottom end fastened to the table. A block is dropped from a height of 3 cm above the top of the spring. The block sticks to the top end of the spring and then oscillates with an amplitude of 20 cm. What is the oscillation frequency?
The oscillation frequency of the spring is equal to 1.23 s⁻¹.
What is the gravitational potential energy?Gravitational potential energy can be described as the energy contained by the object because of its displacement of some height above the surface.
Given the height of the block before dropping, h = 3cm = 0.03 m
The amplitude of oscillation, A = 20 cm = 0.2m
The expression for the oscillation frequency is:
[tex]f = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
From the equation of motion: v²= u² + 2gh
v = √2gh
Because of the equilibrium between the block and the spring, the spring force is equal to the weight of the block.
[tex]kx = mg\\k =\frac{mg}{x}[/tex]
From the law of the conservation f energy, find the value of 'x' displacement:
[tex]m\frac{v^2}{2} + mgx = \frac{mg}{2x}(x+a )^2-mgA[/tex]
[tex]x^2 +2hx-A^2 =0[/tex]
[tex]x^2 + 2\times x \times 0.03- (0.2)^2 =0\\x^2 +0.0.6x -0.04 =0\\x = 0.172 \;m[/tex]
The oscillation frequency is equal to:
[tex]f = \frac{1}{2\pi }\sqrt{\frac{k}{m} }[/tex]
[tex]f = \frac{1}{2\pi }\sqrt{\frac{g}{x} }[/tex]
[tex]f = \frac{1}{2\pi }\sqrt{\frac{9.81}{0.172} }[/tex]
f = 1.20 s⁻¹
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I need help on homework
Given:
Let's determine the preferred units used when measuring the velocity of the center of mass.
The center of mass can be said to be the mean position of matter in a given system.
This is the point in a body where the whole mass of the body is concentrated upon.
The SI unit for center of mass is meters (m).
When measuring the center of mass, the preferred unit is meters per second.
herefiore, when measuring the velocity of the center of mass, the preferred unit is meters/second.
• NSWER:
A. meters/second
module 1 question 4
(a) How many significant figures are in the numbers 99.0 and 100.0?
99.0 :
100.0 :
(b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.)
99.0 :
100.0 :
a) there are 2 and 3 significant figures in the numbers 99.0 and 100.0
b)for the uncertainity of 1 in each number, the percentage uncertainity for in each is 1 an 1.01
Here the problem we are dealing with is related to significant numbers which are the number of digits in a value, frequently an estimation, that contributes to the degree of accuracy of the value. We begin counting significant figures at the primary non-zero digit. in the first case, we are given two numbers 99 and 100, where in 99 we have 2 significant numbers and in 100, there are 3 significant numbers. For the second case, the formula for calculating the uncertainity percentage is percentage = uncertainty /value x 100
So,the uncertainty is 1, so the certaintiy percentage for three significant numbers are which is 100 , the uncertainty percentage = 1/100 *100 = 1
For 99 , the uncertainty percentage = 1/99* 100 = 1.01
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Ms. Cast's husband calculates the height of their house as 10.0 meters. The actual height is 11.0
meters. What is the experimental (%) error?
Answer:
mrs.casts
Explanation:
she's married
In a tug-of-war match, the blue team pulls to the right with 30 N of force while the red team pulls to the left with 20 N of force. Show the resultant graphically by adding the vectors. ASAPPPPP!!!!!
The resultant force of the two teams in the tug of war obtained by adding the vectors is 10 N.
What is resultant force?The resultant force of two or more forces is the single force that will produce the same affect as the two forces acting together.
The resultant force of the two teams performing tug of war is calculated as follows;
R = Rb - Rr
where;
R is the resultant forceRb is the force of the blue teamRr is the force of the red teamSubstitute the given parameters and solve for the resultant force.
R = 30 N - 20 N
R = 10 N
Graphically, we can present the resultant force as follows;
------10 N------> = ---------30 N--------------------> - <-----20 N---------------
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PLEASE HURRY!
Give a short description of how our early solar system formed. Be sure to correctly address the following terms: solar nebulae, accretion disk, protostar, planetesimals, star, and planets. (3 to 5 sentences)
Subject is Earth and Space science btw not physics they just didnt have an option to put it under :,)
Solar system formation began approximately 4.5 billion years ago, when gravity pulled a cloud of dust and gas together to form our solar system.
The planets, moons, asteroids and the whole lot else in the solar device shaped from the small fraction of material in the region that wasn't included within the younger sun.
The nebular hypothesis is the most extensively regularly occurring version within the field of cosmogony to explain the formation and evolution of the sun gadget. The protoplanetary disk is an accretion disk that feeds the significant superstar.
Protostar are the stars are thought to shape internal giant clouds of cold molecular hydrogen massive molecular clouds kind of 300,000 instances the mass of the solar and 20 parsecs in diameter.
Beneath positive circumstances the disk, that could now be called protoplanetary, may additionally deliver beginning to a planetary device. Large planet core formation is notion to proceed more or less alongside the lines of the terrestrial planet formation.
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Drag is usually ignored because its effect on the horizontal velocity is usually negligible due to the short time of flight.
An object's surface area and geometry, along with the object's surrounding wind speed will affect the drag force.
In most cases, drag force will cause the object to land horizontally closer to the predicted landing point as drag is a resistive force.
Drag is ignored in projectile predictions because projectiles usually have a relatively short time of flight.
The surface area of the object, the wind speed, as well as the relative velocity of the airplane will affect the drop of relief packages.
The drag force will cause the projectile to take a longer time to land and may cause to land far from its expected drop point.
What is drag?Drag is a force that acts in opposition to the motion of an object moving through a fluid.
Drag can be thought of as friction in fluids because similar to friction, it acts in an opposite direction of the relative motion of a moving object.
For example, airplanes moving through air experience a drag; ships and boats moving through water experience drag too.
Drag also occurs in projectiles moving through the air. However, because of the relatively short time of flight, it is usually ignored in projectile motion.
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Complete question:
While studying projectile motion, we consider ideal scenarios, where the projectile travels along its trajectory only under the influence of gravity. In real-world situations, however, other forces act on the projectile.
Consider a cargo plane that is dropping relief packages to flood victims. In predicting and studying this motion, we might consider gravity, but ignore the horizontal and vertical forces associated with drag (or air friction). Discuss this simplification. Specifically address these questions:
•Why do we often ignore drag in projectile predictions?
•What conditions (of the object, its surroundings, and its launch) do you think might make drag a significant factor in the relief package drop?
•How would drag affect the projectile's motion if it really were a significant factor in the relief package drop?
the option for wave a r highest, volume with the highest pitch , lowest volume with the lowest pitch, and lowest pitch with the highest volumethe option four ways bar highest volume with the highest pitch, lowest volume with the lowest pitch, lowest volume with the highest pitch, and highest volume with the lowest pitch there is another page of options wave C and wave d
ANSWER
Wave A = Lowest volume with the lowest pitch
Wave B = Highest volume with the lowest pitch
Wave C = Lowest volume with the highest pitch
Wave D = Highest volume with the highest pitch
EXPLANATION
We want to attach the correct option to the correct figure.
From the question, the amplitude is proportional to volume, and frequency is given to be perceived as pitch.
On a wave graph, the amplitude is represented on the y-axis while the period is represented on the x-axis.
The relationship between period and frequency is an inverted relationship, which means that for a wave, the higher the period, the lower the frequency, and vice versa.
This means that from the figures given, we can conclude that:
Wave A = Lowest volume with the lowest pitch
Wave B = Highest volume with the lowest pitch
Wave C = Lowest volume with the highest pitch
Wave D = Highest volume with the highest pitch
That is the answer.
The snow leopard (Uncia uncia) is an endangered species that lives in the mountains of central Asia. It is thought to be the longest jumper in the animal kingdom. If a snow leopard jumps at 35.0° above the horizontal and lands 96.0 m away on flat ground, what was its initial speed?
The initial speed of the Snow Leopard was 35m/s if it jumped at an angle of 35 degrees.
When a leopard jumps. It's path will be a parabola which is corresponding to a projectile.
The angle at which the leopard jumped is 35°.
The horizontal range of the projectile is 96 meters.
We can use the formula for horizontal range R of the projectile,
R = U²sin2A/g
Where,
U is the initial velocity of leopard,
A is the angles at which the leopard jumped.
g is acceleration due to gravity having value 9.8m/s².
Putting all the values,
96 = U²sin(70°)/9.8
U² = 96×9.8/0.77
U² = 1222
U = 34.9 m/s
Nearly 35 m/s.
The initial speed of leopard is 35m/s.
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What kinematics equation would i use for this ? Btw one of those are the answers
Given that the time taken to reach the ground is t = 6 s
The final velocity is v = 0m/s
We have to find the height of the monument, h.
The initial velocity can be calculated by the formula
[tex]u=gt[/tex]Here, g is the acceleration is due to gravity whose value is 9.81 m/s^2
Substituting the values, the initial velocity will be
[tex]\begin{gathered} u=9.81\times6 \\ =58.86\text{ m/s} \end{gathered}[/tex]The formula to find height is
[tex]h=\frac{u^2}{2g}[/tex]Substituting the values, the height will be
[tex]\begin{gathered} h=\frac{(58.86)^2}{2\times9.81} \\ =176.58 \\ \approx177\text{ m} \end{gathered}[/tex]Thus, the correct option is 177 m.
tia types 66 words in 3 minutes.she wants to know how many words she can type in 5 and 10 minutes
Divide 66 words by 3 minutes to find the typing rate per minute. Then, multiply the typing rate by 5 minutes and 10 minutes to find how many words she can type during those time intervals, respectively.
Typing rate:
[tex]\frac{66\text{ words}}{3\text{ minutes}}=22\text{ words per minute}[/tex]Words typed in 5 minutes:
[tex](22\text{ words per minute)(5minutes)=110 words}[/tex]Words typed in 10 minutes:
[tex](22\text{ words per minute)(10 minutes)=220 words}[/tex]Therefore, Tia can type 110 words in 5 minutes and 220 words in 10 minutes.
The Italian greyhound jumps 0.85 m in the air to catch a frisbee. How much potential energy does the dog have at the height of its jump?
Answer:
U = 41.65 J
Explanation:
We have just to calculate it with the following expression of gravitational potential energy:
U = m*g*h
Where:
m: mass
g: gravity acceleration;
h: height.
So:
U = m * 9.8 * 0.85
U = 8.33 * m
Then, it is just putting the mass value of the dog in that equation to obtain the value of potential energy acquired by the dog when jumping.
The mass of this kind of dog is between 3.6kg - 5kg, so, the maximum value of the potential energy can be like this:
U = 5 * 9.8 * 0.85
U = 41.65 J
module 2 question 16
(a) Calculate the tension in a vertical strand of spiderweb if a spider of mass 7.00 ✕ 10-5 kg hangs motionless on it.
N
(b) Calculate the tension in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in Figure 4.13. The strand sags at an angle of 13.0° below the horizontal.
N
Compare this with the tension in the vertical strand (find their ratio).
(tension in horizontal strand / tension in vertical strand)
a ) The tension in a vertical strand = 68.6 * [tex]10^{-5}[/tex] N
b ) The tension in a horizontal strand = 149.13 * [tex]10^{-5}[/tex] N
c ) Tension in horizontal strand / Tension in vertical strand = 2.17
a ) The tension in a vertical strand,
m = 7 * [tex]10^{-5}[/tex] kg
g = 9.8 m / s²
Since the strand is vertical and the spider is motionless,
∑ [tex]F_{y}[/tex] = 0
T - mg = 0
T = 7 * [tex]10^{-5}[/tex] * 9.8
T = 68.6 * [tex]10^{-5}[/tex] N
b ) The tension in a horizontal strand,
θ = 13.0°
The strands left and right have same magnitude and makes the same angle with the horizontal. Resolving,
sin θ = [tex]T_{y}[/tex] / T
[tex]T_{y}[/tex] = T sin 13.0°
∑ [tex]F_{y}[/tex] = 0
[tex]T_{y}[/tex] + [tex]T_{y}[/tex] - mg = 0
T sin 13.0° + T sin 13.0° = 7 * [tex]10^{-5}[/tex] * 9.8
2 T sin 13.0° = 68.6 * [tex]10^{-5}[/tex]
T = 68.6 * [tex]10^{-5}[/tex] / 0.46
T = 149.13 * [tex]10^{-5}[/tex] N
c ) Ratio of strands,
Tension in horizontal strand / Tension in vertical strand = 149.13 * [tex]10^{-5}[/tex] / 68.6 * [tex]10^{-5}[/tex]
Tension in horizontal strand / Tension in vertical strand = 2.17
Therefore,
a ) The tension in a vertical strand = 68.6 * [tex]10^{-5}[/tex] N
b ) The tension in a horizontal strand = 149.13 * [tex]10^{-5}[/tex] N
c ) Tension in horizontal strand / Tension in vertical strand = 2.17
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plane, starting from rest, accelerates at a rate of a = 5 m/s2 for a distance of 250 m. At this distance, calculate the plane's FINAL VELOCITY to the nearest 1 m/s.
The final velocity of the plane at 250 m distance is 50 m/s.
Equation :To calculate the final velocity of plane we need to use the formula from equation of motion,
In equation of motion we will use the formula,
v² = u² + 2as
where,
v is final velocity
u is initial velocity
a is the acceleration of plane
s is the distance
In this given data are,
s = 250 m
a = 5 m/s²
u = 0 m/s ( as the initial of plane is resting )
v = ?
Now, since we know the values, putting them into the formula,
v² = ( 0 )² m/s + 2 x (5 m/s²) x 250 m
v² = 2 x (5 m/s²) x 250 m
v² = 2,500 m/s
v = √2,500 m/s
v = 50 m/s
Hence, the final velocity of the plane at 250 m is 50 m/s.
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HELP PLEASE
2. James throws a rock into a deep well with a velocity of 10.0 m/s [down]. What is the velocity of the rock 2.5 s
Answer:
vf=vi+at
Explanation:
downwards is positive
vf=vi+at
=10+9,8×2,5
=34,5m/s
In compressing the spring in a toy dart gun, 0.2 J of work is done. When the gun is fired, the spring gives its potential energy to a dart with a mass of 0.05 kg.
(a) What is the dart's kinetic energy as it leaves the gun?
0.2j
(b) What is the dart's speed?
Pleas help with part b I have tried everything I need help!!!
a) The kinetic energy of the spring is 0.2 J
b) Speed of the dart is 2.8 m/s
What is the work done?Let us recall that work is said to be done when the force that is applied moves a distance in the direction of the force. Now we know that if we compress a spring, then the spring would have a potential energy called the elastic potential energy.
Let us now answer the questions;
a) Given the fact that energy is neither created nor destroyed but is converted from one form to the other, the kinetic energy of the dart is 0.2 J. This is from the law of the conservation of energy as we all know it.
b) Recall that;
KE = 1/2mv^2
KE = kinetic energy
m = mass of the object
v = speed of the object
v = √2KE/m
v = √2 * 0.2/0.05
v = 2.8 m/s
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What is the Ksp expression for Ni3(PO4)2(s) in water?
options:
Ksp = [Ni2+]3[PO43-]2
Ksp = [Ni2+]2[PO43-]3
Ksp =(3x[Ni2+])(2x[PO43-])
Ksp =(3x[Ni2+])3(2x[PO43-])2
Answer:
A
Explanation:
What is the Ksp expression for Ni3(PO4)2(s) in water? A) Ksp = [Ni2+]3[PO4]2(s) B) Ksp = [Ni2+]2[PO43-13 C) Ksp= (3x[Ni2+])(2x[PO43-]) C) Ks
Answer 0 votes
Answe
A) Ksp = [Ni2+]3[PO4]2(s)
During last week's cross-country invite, Camila navigated a turn on the path that had the shape of a circular arc with a radius of 42.4 m. She made the turn at 7.17 m/s. What was her acceleration on the turn?
Question 19 options:
51.4 m/s/s
1.2 m/s/s
5.9 m/s/s
304.0 m/s/s
The acceleration of the Camila on the turn with a radius of curvature of 42.4 m at a speed of 7.17 m/s is 1.2 m / s / s
a = v² / R
a = Centripetal acceleration
v = Linear velocity
R = Radius
v = 7.17 m / s
R = 42.4 m
a = 7.17² / 42.4
a = 1.2 m / s / s
Centripetal acceleration is the rate of change of tangential velocity of the body moving in a circular path.
Therefore, the acceleration of the car is 1.2 m / s / s
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A 63.1 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 797 (food) Calories. How high must the person climb? The acceleration due to gravity is 9.8m/s^2 and 1 food Calorie is 10^3 calories. Answer in units of km.
Given:
the mass of the weight-watcher is
[tex]m=63.1\text{ kg}[/tex]The work off equivalent to
[tex]W=797\text{ food}[/tex]Required: height climbed by the person
Explanation:
first we need to change the work into calories.
it is given that
[tex]1\text{ food=10}^3\text{ calories}[/tex]then the work done is
[tex]W=797\times10^3\text{ calories}[/tex]now change this work done from calories to joules.
we know that
[tex]1\text{ calorie = 4.2 J}[/tex]Then the work done is ,
[tex]\begin{gathered} W=797\times10^3\times4.2 \\ W=3347.4\times10^3\text{ J} \end{gathered}[/tex]as the person climbs to the mountain the work done is stored as potential energy.
we assume that a person attained some height h,
then the work-energy relation,
[tex]W=mgh[/tex]Plugging all the values in the above relation and solve for h, we get
[tex]\begin{gathered} 3347.4\times10^3\text{ J=63.1 kg}\times9.8\text{ m/s}^2\times h \\ h=\frac{3347.4}{618.38} \\ h=5.41\text{ m} \end{gathered}[/tex]Thus, the height climbed by the person is
[tex]5.4\text{1 m}[/tex]module 2 question 7
An owl is carrying a mouse to the chicks in its nest. It is 4.00 m west and 12.0 m above the center of the 30 cm diameter nest and is flying east at 4.50 m/s at an angle 27° below the horizontal when it accidentally drops the mouse. Will it fall into the nest? Find out by solving for the horizontal position of the mouse (measured from the point of release) when it has fallen the 12.0 m.
m (from the point of release)
Answer:
the mouse will overshoot and will not land in the nest.
What is the mass of an object that needs a force of 5,500 N to accelerate it at a
rate of 5 m/s/s?
THE MASS OF AN OBJECT IS 1100
a walrus accelerates from7.0 km/h to 34.5 km/h over a distance of 95m. What is the magnitude of thee walrus's acceleration?
The magnitude of the walrus's acceleration that accelerates from 7.0 km/h to 34.5 km/h over a distance of 95m is 6 m / s²
( v + u ) / 2 = d / t
v = Final velocity
u = Initial velocity
t = Time
d = Distance
u = 7 km / h
v = 34.5 km / h
d = 95 m
( 34.5 + 7 ) / 2 = 95 / t
t = 95 / 20.75
t = 4.58 s
a = v - u / t
a = Acceleration
a = ( 34.5 - 7 ) / 4.58
a = 6 m / s²
Therefore, the magnitude of the walrus's acceleration is 6 m / s²
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A gas is compressed at constant pressure of 0.8atm from 9litre to 2 litre in the process, 400J of a energy leves the gas by heat.
a. what is work done on the gas?
b, What is the change in its internal energy?
According to the give statement:
a)Work done on the gas is 567 J.
b)The change in its internal energy is 167J.
What is an example of internal energy?The temperature and condition of a substance are examples of internal energy. For instance, the internal energy of water is influenced by its temperature as well as whether it is in a solid, liquid, or gas state. Due to its condition, liquid water has greater stored energy than copper metal at the same temperatures.
Briefing:The work done on the gas is evaluated using formulas:
W = -p * ΔV
Only the large volumes which is signified by large data Substituting the known values we obtain
W= 0.8 * 1.01325 * 10⁵ Pa * -1 (-7) * 10⁻³ m³
W = 567 J
Change in Internal energy is given by
ΔU=W - Q
=567−400)
=167J
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I need help finding the solution
The potential energy of an object of mass m at a height h from the ground on the Earth, where the gravitational acceleration is g, is:
[tex]U=\text{mgh}[/tex]As we can see, the velocity of the object is not a variable that needs to be taken into account to find the potential energy,
Then, the answer is:
[tex]\text{Velocity of the object}[/tex]A hummingbird flies forward and backward. Its motion is shown on the above graph of horizontal Position and Time.
What is the total distance the hummingbird travels from t=0 sec to t=12 sec?
A.4m
b.0m
c.1m
d.2m
Answer:
what is the speed of the bird
procidure for tapping a blind hole
Answer:
HOW TO DO IT…
Use the correct cutting oil on the tap when cutting threads.
Turn the tap clockwise one-quarter to one-half turn, then turn back three-quarters of a turn to break the chip.
When tapping a blind hole, use the taps. in the order starting, plug, and then bottoming.
module 2 question 14
Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 12,500 kg. The thrust of its engines is 31,000 N. (Assume that the gravitational acceleration on the Moon is 1.67 m/s2.)
(a) Calculate its magnitude of acceleration in a vertical takeoff from the Moon.
m/s2
(b) Could it lift off from Earth? If not, why not?
No, the thrust of the module's engines is less than its weight on Earth.
Yes, the thrust of the module's engines is greater than its weight on Earth.
No, the thrust of the module's engines is equal to its weight on Earth.
Yes, the thrust of the module's engines is equal to its weight on Earth.
If it could, calculate the magnitude of its acceleration. (If not, enter NONE.)
m/s2
a ) The acceleration in a vertical takeoff from the Moon = 0.81 m / s²
b ) No, it could not lift off from Earth. Because, the thrust of the module's engines is less than its weight on Earth.
a ) Vertical takeoff from the Moon,
F = 31000 N
m = 12500 kg
[tex]g_{m}[/tex] = 1.67 m / s²
W = m g
[tex]W_{m}[/tex] = 12500 * 1.67
[tex]W_{m}[/tex] = 20875 N
∑ [tex]F_{y}[/tex] = m [tex]a_{y}[/tex]
F - [tex]W_{m}[/tex] = m [tex]a_{y}[/tex]
31000 - 20875 = 12500 [tex]a_{y}[/tex]
[tex]a_{y}[/tex] = 0.81 m / s²
b ) Lift off from the Earth,
Force required for a 12500 kg object to lift off from Earth,
F = m g
F = 12500 * 9.8
F = 122500 N
Since the force required to lift off from Earth is much higher than the actual force, the module cannot lift off from Earth
Therefore,
a ) The acceleration in a vertical takeoff from the Moon = 0.81 m / s²
b ) No, it could not lift off from Earth. Because, the thrust of the module's engines is less than its weight on Earth.
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Richard has just completed his science experiment, and collected all of the data. What is the next step that Richard needs to complete?
a.background research
b.analyze results
c.recognize a problem
d.form a hypothesis
What is the acceleration due to gravity at the surface of a planet that is twice as dense as the earth, but whose radius is twice as large as the earth’s? Assume the earth is a perfect sphere with a volume given by 4/3 piR^3.
ANSWER:
39.2 m/s^2
STEP-BY-STEP EXPLANATION:
We have to acceleration due to gravity at the surface of planet:
[tex]\begin{gathered} g_p=\frac{GM_p}{(R_p)^2^{}},M_p=\rho_p\cdot V_p \\ g_p=\frac{G\cdot\rho_p\cdot V_p}{(R_p)^2} \\ g_p=\frac{G\cdot\rho_p\cdot\frac{4}{3}\pi(R^3_p)_{}}{(R_p)^2} \\ g_p=\frac{4}{3}\pi\cdot G\cdot\rho_p\cdot R_p \end{gathered}[/tex]Where,
Mp = mass of planet
ρp = density of planet
Rp = radius of planet
Given:
ρp = 2ρe, Rp = 2Re
where,
ρe = density of earth
Re = radius of earth
Replacing:
[tex]\begin{gathered} g_p=\frac{4}{3}\pi\cdot G\cdot2\rho_e\cdot2R_e \\ g_p=4\cdot\mleft(\frac{4}{3}\pi\cdot\: G\cdot2\rho_e\cdot2R_e\mright) \\ g_p=4\cdot g_e \\ g_e=9.8m/s^2 \\ \text{ replacing} \\ g_p=9.8\cdot4 \\ g_p=39.2m/s^2 \end{gathered}[/tex]Therefore the acceleration due to gravity on the planet is 39.2 m/s^2