Answer:
The correct response is "54.19 kg".
Explanation:
The given values are:
Force,
F = 500 N
Coefficient of static friction,
μ = 0.61
Angle,
[tex]\Theta = 25^{\circ}[/tex]
As we know,
⇒ [tex]F_x=F= \mu_s.N[/tex]
then,
⇒ [tex]FCos \Theta=\mu_s(mg+FSin \Theta)[/tex]
On substituting the given values, we get
⇒ [tex]500Cos(25^{\circ})=0.61[m(9.81)+500 Sin25^{\circ}][/tex]
On substituting the values of Cos and Sin, we get
⇒ [tex]453.154=0.61(9.81m+211.31)[/tex]
⇒ [tex]453.154=5.9842m+128.8991[/tex]
⇒ [tex]453.154-128.8991=5.9842m[/tex]
⇒ [tex]324.2549=5.9842m[/tex]
⇒ [tex]m=\frac{324.2549}{5.9842}[/tex]
⇒ [tex]m=54.19 \ kg[/tex]
In any vector space au=bu implies a=b ? Trou or False
Answer:
False
Explanation:
(I guess if it were written "properly" it would be ax=bx implies a=b).
Given the axioms we were given, it would seem that the statement should be true, no?
A related statement -- also listed as false -- is that "in any vector space, ax=ay implies that x=y." Again, given the axioms we have.
Answer:
False
Explanation:
Simply use the counterexample u = 0
For zero vector:
au=bu=0
holds for a=3, b=4
False
Equal masses of water at 80°C and paraffin at 20°C are mixed in a container. The specific
heat capacity of water is twice that of paraffin. What is the final temperature of the
mixture?
O 60°C
O 50°C
O 40°C
O 30°C
4. You are walking at a leisurely pace of .75 m/s when you hear the train coming and start running to catch it. Over the next 10 seconds, you speed up to 3.5 m/s and catch your train! What was your acceleration over that time?
Answer:
0.275 m/s²
Explanation:
The acceleration of an object is defined as the change in velocity over the change in time.
a = Δv/Δt a = (v - v₀)/tWe are given the initial velocity, 0.75 m/s. The final velocity of the user in question is 3.5 m/s.
The time it takes for us to catch the train is 10 seconds. Using these variables, let's substitute into our equation.
a = (3.5 - 0.75)/10 a = 2.75/10 a = 0.275 m/s²Our acceleration over that time was 0.275 m/s² in order to catch the train.
One mole of iron (6 x 10^23 atoms) has a mass of 56 grams, and its density is 7.87 grams per cubic centimeter, so the center-to-center distance between atoms is 2.28 x 10^-10 m. You have a long thin bar of iron, 2.3 m long, with a square cross section, 0.12 cm on a side. You hang the rod vertically and attach a 149 kg mass to the bottom, and you observe that the bar becomes 1.17 cm longer. From these measurements, it is possible to determine the stiffness of one interatomic bond in iron.
ks = 20014.1 N/m
Number of side-by-side long chains of atoms = 4.81e^12
Number of bonds in total length = 1.096e^10
What is the stiffness of a single interatomic "spring"?
Answer:
Explanation:
Given that:
length l = 2.3 m
a = 0.12 cm = [tex]0.12 \times 10^{-2} \ m[/tex]
[tex]x = 1.17 \ cm = 1.17 \times 10^{-2}\ m[/tex]
m = 149 kg
[tex]\delta = 7.87 \ g/cm^3[/tex]
[tex]da = 2.28 \times 10^{-10}\ m[/tex]
[tex]F_{net} = F-mg\\ \\0 = F - mg \\ \\ F = mg \\ \\ k_sx = mg \\ \\[/tex]
∴
[tex]k_s = \dfrac{149(9.8)}{1.17 \times 10^{-2}} \\ \\ k_s = 124803.42 \ N /m[/tex]
[tex]N_{chain} = \dfrac{A_{wire}}{A_{atom}} = \dfrac{A_w}{da^2}[/tex]
[tex]N_{chain} = \dfrac{(a)^2}{(da)^2} = (\dfrac{a}{da})^2[/tex]
[tex]N_{chain} = (\dfrac{0.12 \times 10^{-2} }{2.28 \times 10^{-10}})^2[/tex]
[tex]N_{chain} = 2.77 \times 10^{13}[/tex]
[tex]N_{bond} = \dfrac{L}{da} \\ \\ = \dfrac{2.3}{2.28 \times 10^{-10}} \\ \\ N_{bond} = 1.009 \times 10^{10}[/tex]
[tex]\text{Finally; the stiffness of a single interatomic spring is:}[/tex]
[tex]k_{si} =\dfrac{N_{bond}}{N_{chain}}\times k_s[/tex]
[tex]k_{si} =\dfrac{(1.009 \times 10^{10})}{2.77*10^{13}}}\times (124803.42)[/tex]
[tex]\mathbf{k_{si} =45.46 \ N/m}[/tex]
3. Our favorite nature explorer Steve Irwin is currenty warking with crocodiles in the Nile River. One of the big boy crocs gets hungry and takes off after some prey. Steve and his wife Terri want to know how much kinetic energy the croc exhibits when chasing prey. The croc has a mass of 600 kg and can swim at a velocity of 4 m/s. Calculate the kinetic energy of the croc,
Answer:
K.E = 4800 Joules.
Explanation:
Given the following data;
Mass = 600 kg
Velocity = 4 m/s
To find the kinetic energy;
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
[tex] K.E = \frac{1}{2}MV^{2}[/tex]
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
Substituting into the equation, we have;
[tex] K.E = \frac{1}{2}*600*4^{2}[/tex]
[tex] K.E = 300 * 16 [/tex]
K.E = 4800 Joules.
Which experimental result led to the inference that atoms have a dense,
positive center?
A. A few alpha particles bounced off a thin sheet of gold foil.
B. Most alpha particles passed straight through a thin sheet of gold
foil.
C. The beam in a cathode ray tube was moved by a magnetic force.
D. The beam in a cathode ray tube was moved by an electric force.
A few alpha particles bounced off a thin sheet of gold foil.
The correct option for the given question about Rutherford Gold Foil Experiment is Option A) "A few alpha particles bounced off a thin sheet of gold foil".
What caused Rutherford's gold-foil experiment's alpha particles to bounce off?Rutherford predicted that the particles will pierce the foil without any resistance. But he discovered that as the particle bounced off through the foil, its course would change or be deflected. Like charges repel one another, which is the reason behind this.
Thus we can conclude that Rutherford Gold Foil Experiment (A few alpha particles bounced off a thin sheet of gold foil) results led to the inference that atoms have a dense positive centre.
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2. Which one of the following liquids is more suitable for making a simple barometer?
Answer:
Emm I don't see the liquid options but usually mercury is used for making barometers...
Explanation:
what instrument will be used to measure the volume of a box
Answer:
A ruler.
Explanation:
Just measure height, length and width and multiply each.
You are at the edge of a diving board that is 9 meters above the water. If you weigh 500 Newtons, what is your potential energy?
Answer:
4500 J
Explanation:
First, let's define some equations and derivations.
Our potential energy formula is:
[tex]\displaystyle U = mgh[/tex]Where m is mass (in kg), g is the gravitational constant (in m/s²), and h is height (in m).
We also know that mg is equal to the weight of an object (in N), from Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration).
Therefore, we can simply substitute force into the equation:
[tex]\displaystyle U = Fh[/tex]Where F is the force (in N) and h is still height (in m).
Now we can calculate the amount of potential energy in our system, measured in joules.
Substitute in the given variables, F = 500 N and h = 9 m:
[tex]\displaystyle U = (500 \ N)(9 \ m)[/tex]Using simple Pre-Algebra rules, we find that:
[tex]\displaystyle U = 4500 \ J[/tex]This tells us that the we have 4500 joules of potential energy when I am 9 meters above the water on the edge of the diving board.
Answer:
4500 J
Explanation:
First, let's define some equations and derivations.
Our potential energy formula is:
Where m is mass (in kg), g is the gravitational constant (in m/s²), and h is height (in m).
We also know that mg is equal to the weight of an object (in N), from Newton's 2nd Law of Motion: F = ma (Force is equal to [constant] mass times acceleration).
Therefore, we can simply substitute force into the equation:
Where F is the force (in N) and h is still height (in m).
Now we can calculate the amount of potential energy in our system, measured in joules.
Substitute in the given variables, F = 500 N and h = 9 m:
Using simple Pre-Algebra rules, we find that:
This tells us that the we have 4500 joules of potential energy when I am 9 meters above the water on the edge of the diving board.
Which of the following statements is true? Thunderstorms are not dangerous The eye of a hurricane is the most danger Tornadoes form when wind change all of the above
honestly they all seem wrong to me but it's not giving me another option hurry if possible
Answer:
False
Explanation:
includess lighting and powerful winds over 50Mph,creates hail and causes flash flooding and also tornadoes
a force of 500 Newton is used to stretch a spring with a 0.5 kg mass attached to it by 0.35 cm what is the value of the spring constant and frequency of the oscillator
Answer:
F. 20 cm m. The stretching force is the weight. (W = mg) of the 4 -kg mass: F = (4 kg)(9.8 m/s2) = 39.2 N.
Either the oscillating mass or the spring constant can be modified to alter the oscillator's natural resonant frequency.
What spring constant and frequency of the oscillator?Consider a spring with an unstretched length l, a spring constant of k, and a mass M hanging from it. The oscillation frequency would be k/M if the spring's mass were ignored. According to the rule that was cited, the effect of the spring mass would be to change M in the equation for to M + m/3.
The oscillating system's frequency would rise if the spring was firmer. The resonance frequency of the system would be lowered by adding mass to it.The spring mass would have the effect of changing M in the equation for to M + m/3 in accordance with the cited rule.
Therefore, F. 20 cm m. The weight (W = mg) of the 4 kg mass is the stretching force: F = (4 kg)(9.8 m/s2) = 39.2 N.
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The temperature of an object is -153°C. Its temperature is raiselt to 273°C. What is the
temperature change of the object?
426
699
153
120
Answer:
426
Explanation:
I think the answer is 426 or 120 but we. can get 120 when we add
4. How often does the sun's magnetic field reverse?
O A. Every two million years
O B. Every 11 years
C. Every 350 days
D. Every 100,000 years
Answer:
b is correct answer
Explanation:
A package is dropped from a flying plane. The package, which had a zero initial vertical velocity, falls with an open
parachute at a constant acceleration of 3.6 m/s?
How long, in seconds, will it take for the package to fall a vertical distance of 45 m?
Answer:
5s
Explanation:
s = ut + (1/2)at^2
45 = 1/2 x 3.6 x t^2
t = 5s
The efficiency of Carnot engine working between steam point and ice point is?
Answer: 26.8%
Explanation: the ice point is 273k and the steam point is 373k and the efficiency of the carnot engine is given as: 1 --- T2/T1 = 1 --- 273/373 = 1 --- 0.731 = 0.268 = 26.8%
*check out "toppr" for more help if needed!*
the surface of a mirror is flat.
Answer:
plane on edge
Explanation:
Which of the following phenomena provides evidence for the particle theory of light?
Refraction of light through a prism
Interference patterns produced from light through a double slit
Polarization of light in sunglasses
Ejection of electrons from metals illuminated with different frequencies of light
Answer:
The ejection of electrons from metals illuminated with different frequencies of light (photoelectric effect)
Explanation:
Ejection of electrons from metals illuminated with different frequencies of light provides evidence for the particle theory of light
What is photoelectric effect ?
The photoelectric effect proves that light has particle-like activity. The photoelectric effect happens when photons are shone on metal and electrons are ejected from the surface of that metal. The electrons that are ejected are determined by the wavelength of light which determines the energy of photons.
correct answer is
Ejection of electrons from metals illuminated with different frequencies of light
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Which of the following features make Earth and Venus similar to each other?
Answer:
A. size and mass
Explanation:
6) If a mass of an object is decreased to half and acting force is reduced by quarter the acceleration of its motion
b) Increases to its doute
d) Remains constant
a) Remains constant,
c) Increases to its four times
Answer:
Decreases to half.
Explanation:
From the question given above, the following data were obtained:
Initial mass (m₁) = m
Initial force (F₁) = F
Initial acceleration (a₁) =?
Final mass (m₂) = ½m
Final force (F₂) = ¼F
Final acceleration (a₂) =?
Next, we shall determine a₁. This can be obtained as follow:
F₁ = m₁a₁
F = ma₁
Divide both side by m
a₁ = F / m
Next, we shall determine a₂.
F₂ = m₂a₂
¼F = ½ma₂
2F = 4ma₂
Divide both side by 4m
a₂ = 2F / 4m
a₂ = F / 2m
Finally, we shall determine the ratio of a₂ to a₁. This can be obtained as follow:
a₁ = F / m
a₂ = F / 2m
a₂ : a₁ = a₂ / a₁
a₂ / a₁ = F/2m ÷ F/m
a₂ / a₁ = F/2m × m/F
a₂ / a₁ = ½
Cross multiply
a₂ = ½a₁
From the illustrations made above, the acceleration of the car will decrease to half the original acceleration
Timed plz hurry
Therapeutic boarding schools help parents cope with their teens who have borderline personality disorder in all of the
following ways except
A. teaching the parents how to positively support their teen while they are at home
B. providing family therapy while the teen is in treatment
c. teaching the parents to persistently support the teen's unstable self-image
D. teaching the patient how to interact appropriately with their peers
C. Teaching the parents tp persistetly support the teen's unstable self-image
Explanation:
Therapeutic boarding schools doesn't help parents cope with their teens by: c. teaching the parents to persistently support the teen's unstable self-image.
The types of personality disorder.In Psychology, there are different types of personality disorder and these include the following:
Narcissistic personality disorder.Obsessive-compulsive personality disorder.Antisocial personality disorder.Avoidant personality disorder.Borderline personality disorder.Basically, a therapeutic boarding school is an institution that is established to help parents positively cope with offspring who have borderline personality disorder.
However, therapeutic boarding schools doesn't teach parents to persistently support any teen's unstable self-image.
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What is 3^7*8^3*5^6?
Answer:
17496000000
Explanation:
what disadvantage of convex mirror
☁️ Answer ☁️
The main disadvantage of convex mirrors is that they show a distorted picture of what is behind you. Distances are seen not as they are in reality and things appear closer than they really are. They are showing cars approximately twice as far away as they actually are.
Hope it helps.
Have a nice day hyung!~ ￣▽￣❤️
Answer:
disadvantage is that convex mirror is that they make it appear like those objects are at a more noteworthy distance than they actually are. It always gives a virtual, erect and a diminished image.
The description of the structure of the atom is called the??
I think for this it is atomic model
why an inclined is considered as simple machine
THE FIRST TO ANSWER WILL GET BRAINLIEST!!!! Compare and contrast the three main layers of the earth.
Answer:
The first layer is the crust a very thin layer compared to any other
the second layer is the mantal there is 2 parts to the matal there is a solid mental and a hard mental
the last part is the core the most dense part of earth
Explanation:
to what height will a 250g soccer ball rise to if it is kicked directly upwards at 8 meters per second
Answer:
h = 3.26 m
Explanation:
Given that,
Mass of the soccerball, m = 250 g
Speed of the ball, v = 8 m/s
We need to find the height upto which the soccerball is raised. Let the height be h. Using the conservation of energy i.e.
[tex]mgh=\dfrac{1}{2}mv^2\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{8^2}{2\times 9.8}\\\\h=3.26\ m[/tex]
So, it will raised up to a height of 3.26 m.
i need help
3
Drag the tiles to the correct boxes to complete the pairs.
Match the stages of the water cycle with the correct places in the model.
precipitation
infiltration
transpiration
groundwater
evaporation
condensation
A
arrowRight
B
arrowRight
C
arrowRight
D
arrowRight
E
arrowRight
F
arrowRight
Answer:
Explanation:
You guys are rude just because she accidentally did the wrong pic dont mean you gotta be rude
this is the answer + im doing this test
Determine the momentum of 0.30kg hockey puck traveling
across the ice at a velocity of 5. 6 m/s [N]
Can you make predictions about the Moon's appearance?
Answer:
answer: no
Explanation:
Light falls on two slits 0.0000716 m apart and produces an interference pattern in which
the fourth-order fringe is 0.038 m from the central fringe on a screen 1.0 m away.
A) What is the wavelength of the light?
B) Roughly what color is the light?
Answer:
λ = 6.802 10⁻⁷ m, wavelength corresponds to orange almost red
Explanation:
The expression for constructive interference is
d sin θ = m λ
let's use trigonometry
tan θ = y / L
tan θ = sin θ / cos θ
interference experiments angles are very small
tan θ = sin θ = y / L
substituting
[tex]d \ \frac{y}{L}[/tex] = m λ
in this case they indicate the separation of the slits d = 7.16 10-5 m, the order of the interference is m = 4, the distance y = 3.8 10-2 m and the separation to the screen L = 1 m
A) they ask us for the wavelength
λ = [tex]\frac{d y}{ m L}[/tex]
let's calculate
λ = 7.16 10⁻⁵ 3.8 10⁻² /(4 1)
λ = 6.802 10⁻⁷ m
B) Let's reduce the wavelength to nm
λ = 6.802 10⁻⁷ m (109 nm / 1m)
λ = 680.2 nm
this wavelength corresponds to orange almost red