Answer: The roof is 19.6 meters high.
Explanation:
As the ball rolls on the flat roof, when it starts falling down there is no initial velocity in the vertical axis, so we can define the initial vertical velocity as zero. (We define the time t= 0s as the moment when the ball starts falling down)
Now, the only force acting on the vertical axis will be the gravitational force, then the acceleration in the vertical axis is the vertical acceleration:
a(t) = -9.8m/s^2.
Now, to get the vertical velocity, we need to integrate over time, and get:
v(t) = (-9.8m/s^2)*t + v0
where v0 is the initial vertical velocity, and as we already know, this is zero.
v(t) = (-9.8m/s^2)*t
Now to get the position, we integrate again over time:
p(t) = (-4.9m/s^2)*t^2 + p0
Where p0 is the initial position, if we define the zero in the position as the ground, then p0 will be equal to the height of the roof.
p(t) = (-4.9m/s^2)*t^2 + h
And we know that the ball hits the ground at t = 2s, then we have:
p(2s) = 0m = (-4.9m/s^2)*(2s)^2 + h
(4.9m/s^2)*(2s)^2 = h
19.6m = h
The height of the roof is 19.6 meters.
Improperly installed air conditioners can occasionally fall from apartment windows down onto the road below. How long does a pedestrian have to get out of the way of an air conditioner falling eight stories [24m] hello I just need help idea my vi vf t d a and I am not certain if it is a horizontal question or not
Given data:
* The distance traveled by the air conditioner is,
\(d=24\text{ m}\)Solution:
As the air conditioner is falling freely under the action of gravity.
Thus, the acceleration of the air conditioner is equal to the acceleration due to gravity.
\(\begin{gathered} a=g \\ a=9.8ms^{-2} \end{gathered}\)As the air conditione ris falling itself from the height.
Thus, the initial velocity of the air conditoner is,
\(v_i=0\text{ m/s}\)By the kinematics equation, the final velocity of the air conditioner is,
\(v^2_f-v^2_i=2ad\)Substituting the known values,
\(\begin{gathered} v^2_f-0=2\times9.8\times24 \\ v^2_f=470.4 \\ v_f=21.69\text{ m/s} \end{gathered}\)Thus, the final velocity of the air conditioner is 21.69 m/s.
By the kinematics equation, the time taken by the air conditioner,
\(v_f-v_i=at\)where t is the time taken by the air conditioner to reach the ground,
Substituting the known values,
\(\begin{gathered} 21.69-0=9.8t \\ t=\frac{21,69}{9.8} \\ t=2.21\text{ s} \end{gathered}\)Thus, the time taken by the air conditioner ot reach the ground is 2.21 seconds.
Give an example of when a conscientious objector might exercise their right:
a uniform electric field of magnitude 4.6 ✕ 104 n/c passes through the plane of a square sheet with sides 3.0 m long. calculate the flux (in n · m2/c) through the sheet if the plane of the sheet is at an angle of 60° to the field. find the flux for both directions of the unit normal to the sheet. unit normal with component parallel to electric field n · m2/c unit normal with component antiparallel to electric field n · m2/c
41.4 x 104 Nm2/C is the electric flux through the sheet.
How to find the electric flux?The electric flux through a planar area A is calculated as the product of the electric field, the area of the plane, and the cosine of the angle between the electric field and a vector that is perpendicular to the area.
Φ = E A cos θ -----1
By the question;
E = 4.6 x 10⁴ N/C
A = Area of the square = l² [l = length of the square]
=> A = (3m)² = 9m²
θ = 0° [since the electric field is perpendicular to the square sheet, then the area vector is parallel to the field]
Substitute the values in equation 1
Φ = 4.6 x 10⁴ x 9 x cos 0°
Φ = 4.6 x 10⁴ x 9 x 1
Φ = 41.4 x 10⁴ Nm²/C
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what is the definition for scientific model?
Answer:
Explanation:
Scientific modelling is a scientific activity, the aim of which is to make a particular part or feature of the world easier to understand, define, quantify, visualize, or simulate by referencing it to existing and usually commonly accepted knowledge.
The magnetic force F' is always perpendicular to the acceleration a of the particle. T/F
True, the magnetic force F' is always perpendicular to the acceleration a of the particle.
True. According to the Lorentz force law, the magnetic force F' experienced by a charged particle moving in a magnetic field is given by F' = q(v × B), where q is the charge of the particle, v is its velocity, and B is the magnetic field.
Since the cross product v × B results in a vector perpendicular to both v and B, the magnetic force F' is always perpendicular to the velocity of the particle. Additionally, Newton's second law states that F' = ma, where m is the mass of the particle and a is its acceleration. Therefore, the magnetic force F' is always perpendicular to the acceleration a of the particle.
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PLZZZ HELP ME WITH ONE MORE!!
Answer:
C
Explanation:
i belive it's C may i be marked brainleist
What are the two components of an internal force system? • Bending moment, normal force • Normal force, shear force • Bending moment, shear force • Shear force, support reactions
The two components of an internal force system are: • Normal force and
• Shear force
Normal force refers to the force that acts perpendicular to the surface of an object or a structural element. It is responsible for counteracting external loads and providing support.
Shear force, on the other hand, acts parallel to the surface of an object or a structural element. It is responsible for causing a deformation or shear stress within the material.
Bending moment, although an important factor in structural analysis, is not one of the two components of an internal force system. Bending moment refers to the internal force that causes a structural element to bend or undergo a moment about an axis.
Therefore, the correct answer is: Normal force, shear force.
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Four identical steel blocks have their top surface covered with black paper, white paper, smooth white plastic film, and shiny metallised plastic film. the blocks are placed close together under an infra-red lamp.
a. explain, giving reasons, which blocks will warm up slowest or fastest, putting them in
ascending order.
b. if the lamp is switched off, which blocks will cool down the slowest or quickest (in ascending
order).
a) the black paper heats up the fastest, and the white paper heats up second fastest, then shiny metallised plastic film and the smooth white plastic film heats up slowest.
b) black paper will cool down slowest and smooth white plastic film will cool down quickest.
BUT! Neither the black paper nor the white paper is in intimate close contact with the steel block underneath each piece of paper - there is a very effective insulating layer of stagnant air between the bottom of the sheets of paper and the steel. BOTH sheets of paper shield the steel block from IR and visible radiation.
The two shields of plastic can be assumed to be closely contacting the top of the steel block, and so they will heat the steel blocks underneath them faster than the paper. The reflective plastic “might” have a greater emissivity than the white plastic - with the actual albedo measurements of both and their emissivities, you cannot make a prediction accurately.
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it takes 0,5 s to complete the pattern from A to H and the wavelength is 20cm. What is the period of the wave?
The time period of the wave is 0.5 seconds.
To find the answer, we have to know more about the time period.
What is the period of the wave?The whole to and fro motion of the oscillating body is regarded as one oscillation.The frequency of the body is the number of oscillations it performs in a second.The time it takes for a body to complete an oscillation is its duration.Time period is calculated by dividing the wave's total travel time by the total number of oscillations it performs. Consequently, the time period here will be,\(T=\frac{t}{N} =\frac{0.5}{1}\)
where; t is the time taken to complete one oscillation(from A to H) and N is the number of patterns completed.
Thus, we can conclude that, The time period of the wave is 0.5 seconds.
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A power station that is being started up for the first time generates 6120 MWh of energy over a 10 hour period. (i) If the rated power at full capacity is 660 MW, calculate how long it takes the power station to reach its full power output. (You may assume a constant increase in power from zero to full power) (ii) State what type of power station can be started up fastest and explain why the start-up times for other types of power station are slower. Explain briefly, how this is relevant to optimising the usage of windfarms. c) What is the Bremsstrahlung effect and how can it be avoided in shielding design? d) Sketch the electromagnetic field output from an antenna, describing in detail the two main regions in the output field.
(i)Therefore, it takes approximately 9.27 hours to reach its full power output.(ii)It is necessary to have quick-start power sources, this helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.(c)The Bremsstrahlung effect needs to be considered to ensure proper radiation protection.(d) The near-field region is characterized by strong electric and magnetic fields while the far-field region represents the radiation zone.
(i) To calculate the time it takes for the power station to reach its full power output, we can use the formula:
Energy = Power × Time
Given that the power station generates 6120 MWh of energy over a 10-hour period and the rated power at full capacity is 660 MW, we can rearrange the formula to solve for time:
Time = Energy ÷ Power
Converting the energy to watt-hours (Wh):
Energy = 6120 MWh × 1,000,000 Wh/MWh = 6,120,000,000 Wh
Converting the power to watt-hours (Wh):
Power = 660 MW × 1,000,000 Wh/MW = 660,000,000 Wh
Now we can calculate the time:
Time = 6,120,000,000 Wh ÷ 660,000,000 Wh ≈ 9.27 hours
Therefore, it takes approximately 9.27 hours (or 9 hours and 16 minutes) for the power station to reach its full power output.
(ii) The type of power station that can be started up fastest is a gas-fired power station. Gas-fired power stations can reach full power output relatively quickly because they use natural gas combustion to produce energy.
In contrast, other types of power stations, such as coal-fired or nuclear power stations, have longer start-up times. Coal-fired power stations require time to heat up the boiler and generate steam, while nuclear power stations need to go through a complex series of procedures to ensure safe and controlled nuclear reactions.
This is relevant to optimizing the usage of windfarms because wind power is intermittent and dependent on the availability of wind. This helps maintain a stable and reliable electricity supply even when wind speeds fluctuate.
(c) The Bremsstrahlung effect is a phenomenon that occurs when charged particles, such as electrons, are decelerated or deflected by the electric fields of atomic nuclei or other charged particles. As a result, they emit electromagnetic radiation in the form of X-rays or gamma rays.
In shielding design, the Bremsstrahlung effect needs to be considered to ensure proper radiation protection. These materials effectively absorb and attenuate the emitted X-rays and gamma rays, reducing the exposure of individuals to harmful radiation.
(d) The electromagnetic field output from an antenna can be represented by two main regions:
Near-field region: This region is closest to the antenna and is also known as the reactive near-field. It extends from the antenna's surface up to a distance typically equal to one wavelength. In the near-field region, the electromagnetic field is characterized by strong electric and magnetic field components.
Far-field region: Also known as the radiating or the Fraunhofer region, this region extends beyond the near-field region.The electric and magnetic fields are perpendicular to each other and to the direction of propagation. The far-field region is further divided into the "Fresnel region," which is closer to the antenna and has some characteristics of the near field, and the "Fraunhofer region," which is farther away and exhibits the properties of the far-field.
The transition between the near-field and the far-field regions is gradual and depends on the antenna's size and operating frequency. The size of the antenna and the distance from it determine the boundary between these regions.
In summary, the near-field region is characterized by strong electric and magnetic fields, while the far-field region represents the radiation zone where the energy is radiated away as electromagnetic waves.
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What information is included in the general
profile for a serial killer/ criminal?
How do the 4 different types of serial killers
differ from each other?
Describe the typical childhood of a serial
criminal. What types of childhood trauma is
typically found in the background of serial
criminal?
What types of behavioral changes occur from pre-crime to crime spree to post-crime? Are there any warning signs that begin to committheir crimes?
A serial killer is one that goes on from one place to another killing people everywhere.
Who is a serial killer?The information about a serial killer that is documented are;
demographic information, such as age, sex, race, occupation, education level, etc.Behavior patterns include things like the modus operandi (MO), signatures, and criteria for choosing victims, among others.Psychopathy, emotional stability, intellect, and personality disorders are examples of personal traits.criminal history, including prior infractions, arrest records, and sentence.Information on a person's relationships, relationships, and other events are included in their social history.Learn more about a serial killer: https://brainly.com/question/29513340
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Moral Dilemma A man is sitting at home worrying about the fact that his daughter needs a major surgery in order to continue living, but he does not have the money to pay for it. He has asked family and friends to help with the cost of the surgery, but he was only able to raise about a quarter of what the surgery costs. He then remembers that he has power of attorney (i.E., control over someone else's finances/legal issues) for his out-of-touch-with-reality, but healthy, 85-year-old father. The man could, without anyone knowing, use his father's money to pay for the surgery. However, this would leave his father with only one year of living expenses. The man decides to take his father's money for his daughter's surgery. Should the man have done that? Why?
Answer:
Mostly with aid of Kohlberg 's moral growth theory, I clarify this answer, which would also be separated into three stages under which this particular problem is illustrated below.
Explanation:
Pre conventional Stage:The daughter's father would think about either the penalty during that point if he commits any wrongdoing or breaches laws to save her daughter. But another way to make that happen for surgery is that a person cares about either the legislation and rules as well as the significance of respecting them throughout the pre-conventional process. He will also attempt to establish its insight into solving these problems.
Conventional Stage:As per the traditional process of the spiritual psychosocial development of Kohlberg, her father would think of civilization because there are conventions that unless he borrows money of his dad again for the procedure of their daughter, culture would label him greedy or prejudice against him to pay the profits of his father despite his consideration.
Post conventional Stage:As per this argument, he might determine for her child as well as father in his philosophy including perspectives, which means that his father is not in the situation of requesting credit, but because he's in a position to give a recommendation, therefore he certainly gives authorization rescue her grandchildren even though she is small and has several activities to do in hers life. And subsequently, with emerging profits, he will take care of his father as well as daughter, and nowadays focus says their daughter wants treatment to recover.
Define Wavelength
please and quick thx!
Wavelength is defined by Velocity of the wave by Frequency
Symbolically
\(\\ \ast\bull\rm\longmapsto \lambda=\dfrac{c}{v}\)
C is speed of wavev is frequencylambda is wavelengthI need help on this question
Answer:
at rest because time is passing and speed is still at 0
Explanation:
Luis does 6 joules of work in 3 seconds, what is the power he exerted?
Calculate the momentum for the 5 kg bowling ball moving at 6 m/s.
Answer:
Given
mass (m) =5kg
velocity (v) =6m/s
momentum (p) =?
Form
p=mv
5kgx6m/s
p=30kg.m/s
momentum =30kg.m/s
What is the age of a meteorite if potassium-40 decayed from 80 g to 10 g? The half-life of potassium-40 is 1.3 billion years.
Answer:
10 / 80 amount of potassium-40 remaining
1/8 = 1/2 * 1/2 * 1/2 = 3 half-lives
3 half-lives * 1.3E9 yrs / half-life = 3.9E9 yrrs
After 3.9 billion years the 80 g will have decayed to 10 g
Answer:
3.9 billion years
Explanation:
i took test
Help please!!!!! How does ozone form from vehicle exhaust?
Answer: NOx and VOC combine chemically with oxygen to form ozone
Explanation:
what is mechanical advantage??
Answer: a measure of the ratio of output force to input force in a system, used to analyze the forces in simple machines like levers and pulleys.
Explanation:
Answer: the ratio of the force produced by a machine to the force applied to it, used in assessing the performance of a machine
Explanation: a measure of the ratio of output force to input force in a system
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Based on your understanding of galaxy evolution, what patterns would you expect to see among the redshifts of absorption lines from elements other than hydrogen? would they have redshifts similar to those of galaxies along the line of sight to the quasar, or would they be evenly distributed throughout intergalactic space?
Drag the items on the left to the appropriate blanks on the right to complete the sentences. (not all terms will be used.) Elements ___than hydrogen (and helium) are made by ___ and therefore should be located within galaxies. so if we see absorption lines from these elements in quasar spectra, they should have the ___redshifts as hydrogen lines from intervening galaxies. absorption lines may ___ at redshifts of protogalactic clouds that are composed of hydrogen and helium only.
- interstellar gas
- heavier
- stars
- same
- be present
- not be present
- different
- lighter
Elements heavier than hydrogen (and helium) are made by stars and therefore should be located within galaxies.
So if we see absorption lines from these elements in quasar spectra, they should have the same redshifts as hydrogen lines from intervening galaxies. Absorption lines may not be present at redshifts of protogalactic clouds that are composed of hydrogen and helium only. This means that the redshifts of these elements should be similar to the redshifts of the galaxies they are associated with. However, it is possible that absorption lines may be present at redshifts of protogalactic clouds that are composed of hydrogen and helium only. In these cases, the redshifts of heavier elements would be different than the redshifts of the protogalactic clouds and therefore not be present in the spectrum.
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Calculate the ratio of the drag force on a jet flying at 784 km/h at an altitude of 8.6 km to the drag force on a prop-driven transport flying at half that speed and altitude. The density of air is 0.46 kg/m3 at 8.6 km and 0.71 kg/m3 at 4.3 km. Assume that the airplanes have the same effective cross-sectional area and drag coefficient C.
The ratio of the drag force on the jet to the drag force on the prop-driven transport, Ratio = (0.46 kg/m^3 * (784 * 1000/3600)^2 m^2/s^2) / (0.71 kg/m^3 * ((784 * 1000/3600) / 2)^2 m^2/s^2)
To calculate the ratio of the drag force on the jet to the drag force on the prop-driven transport, we can use the equation for drag force:
Drag Force = (1/2) * density * velocity^2 * A * C
- density is the air density
- velocity is the speed of the aircraft
- A is the effective cross-sectional area
- C is the drag coefficient
Let's denote the drag force on the jet as F_jet and the drag force on the prop-driven transport as F_prop. We are given the following information:
For the jet:
- Velocity_jet = 784 km/h = (784 * 1000) / 3600 m/s (converting from km/h to m/s)
- Altitude_jet = 8.6 km
- Density_jet = 0.46 kg/m^3
For the prop-driven transport:
- Velocity_prop = (1/2) * Velocity_jet = (1/2) * (784 * 1000) / 3600 m/s (half the speed of the jet)
- Altitude_prop = Altitude_jet / 2 = 8.6 km / 2 (half the altitude of the jet)
- Density_prop = 0.71 kg/m^3
The effective cross-sectional area (A) and the drag coefficient (C) are assumed to be the same for both aircraft.
Now, we can calculate the ratio of drag forces:
Ratio = F_jet / F_prop
Using the equation for drag force, we have:
Ratio = [(1/2) * density_jet * velocity_jet^2 * A * C] / [(1/2) * density_prop * velocity_prop^2 * A * C]
The A and C terms cancel out, giving:
Ratio = (density_jet * velocity_jet^2) / (density_prop * velocity_prop^2)
Substituting the given values, we get:
Ratio = (0.46 kg/m^3 * (784 * 1000/3600)^2 m^2/s^2) / (0.71 kg/m^3 * ((784 * 1000/3600) / 2)^2 m^2/s^2)
Calculating this ratio will give us the desired result.
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Abby is 5 feet tall and casts a 4 foot long shadow of her older brother Ethan is standing next to her and casts a 4.6 shadow how much taller than Abby us Ethan
Answer:
0.6 ☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎☻︎
upon what data do measurements of sizes of eclipsing binaries depend?
The measurements of sizes of eclipsing binaries depend on data such as light curves, radial velocity curves, and inclination of the orbital plane.
Eclipsing binaries are a type of binary star system in which two stars orbit around each other and periodically pass in front of each other, causing periodic variations in the system's brightness as seen from Earth. These variations are known as light curves and can be used to measure the sizes of the stars.
The analysis of the light curve involves measuring the depth and duration of the eclipses, as well as the shape of the light curve between eclipses. By comparing these measurements to theoretical models of eclipsing binaries, astronomers can determine the sizes and other physical properties of the stars in the system.
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A leftward force of 50 N is applied to an 8 kg
object to move it across a rough surface with a
leftward acceleration of 5 m/s/s. Determine the
gravitational force, normal force, frictional
force, net force, and the coefficient of friction
between the object and the surface.
A leftward force of 50 N is applied to an 8 kg object to move it across a rough surface with a leftward acceleration of 5 \(m/s^{2}\) , its
gravitational force = 78.4 N
normal force = 78.4 N
frictional force = 10 N rightward
net force = 40 N leftward
coefficient of friction = 0.128
given
force = 50 N
mass = 8 kg
acceleration = 5 \(m/s^{2}\)
gravitational force = mg = 8 * 9.8 = 78.4 N
normal force = mg = 78.4 N ( as N= mg )
- F (applied) + frictional force = - F (net )
F (applied) - fr = F (net )
50 - fr = mass * acceleration
50 - fr = 8 * 5
fr = 10 N
Fnet = ma = 8 * (-5) = -40 N
Frictional force = mu * N
10 = mu * 78.4
mu (coefficient of friction ) = 10 / 78.4 = 0.128
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A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80.0m long and the next to be 105m. These sides are represented as displacement vectors A and B in the above. She then correctly calculates the length and orientation of the third side, C. What is her result?
Answer:
C = 93.4m
Ф₃= 54°
Explanation:
if Ф₁ =21° and Ф₃ = 11°
The new landowner has a triangular piece of flat land, and she wishes to fence. The length and orientation of the third side are 92.3 meters, with an orientation of 53.7°.
What is the Vector law of Algebra?Numerous algebraic operations involving vectors are carried out using vector algebra. The Latin word for the carrier is a vector. Points A and B are transported by vectors. The magnitude of the vector is the length of the line connecting the two points A and B, and the vector's direction is the movement from point A to point B. Other names for vectors are Euclidean vectors and spatial vectors. In many different domains, including mathematics, physics, engineering, and others, vectors are used.
Now, according to the question :
Let the given vector is R, and it makes an angle of θ then its components will be :
\(R_x\) = R cos θ
\(R_y\) = R sin θ
As we know that A + B + C =0
A is given as 80 m with direction 21° below the x-axis and,
B is 105 meters, with a direction of 11° counterclockwise from the positive y-axis.
\(A_x\\\) = 80 cos 21°
\(A_y\) = -80 sin 21°
similarly,
\(B_x\\\) = 105 cos 101°
\(B_y\) = -105 sin 101°
C = -(A+B)
C = -( 80 cos 21° + 105 cos 101°) i - (-80 sin 21°+105 sin 101°) j
C = 54.65 i -74.40 j
So the magnitude vector of C will be :
|C| = \(\sqrt{Cx^2+Cy^2}\)
|C| = 92.3 m
Now direction will be :
θ = arc tan (Cy/Cx)
θ = 53.7°
Hence, the orientation of the third side will be 53.7° and the length will be 92.3 meters.
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Why does sound travel more quickly through a solid than through a liquid or a gas?
Answer:
things move quickly through a liquid
Explanation:
Mass of an empty dry density bottle is 25g, mass of bottle full of water is 53g volume of water in the bottle is 48cm^3.find density of water
Therefore, the density of water would be 28g/48mL.
The density of an object can be calculated by dividing its mass by its volume.
In this case, we have a density bottle filled with water.
The mass of the empty dry density bottle is 25g, while the mass of the bottle filled with water is 53g.
The volume of water in the bottle is given as 48 cm³.
To find the density of water, we can subtract the mass of the empty bottle from the mass of the bottle filled with water to determine the mass of the water alone.
In this case, the mass of the water would be 53g - 25g = 28g.
Next, we divide the mass of the water by its volume to calculate the density.
The density of water is given by the equation density = mass/volume.
So, the density of water would be 28g/48cm³.
To simplify the units, we can convert cm³ to mL (milliliters), as they are equivalent.
Therefore, the density of water would be 28g/48mL.
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Joe walked 1200m East and then turned and walked 600m West. Which statement is true about Joe’s walk
Answer:
which statement is true about his walk? he walked 1200m then went back 600m
Explanation:
because he walked 1200m east the 600m west so it adds up to 600
If a man pulls a box with a force of 90 N at an angle of 45
degrees, then what are the X and Y components of the force?
Answer:
See below
Explanation:
x component = 90 cos 45 = 63.6 N
y component = 90 sin 45 = 63.6 N
A mineral scratches a piece of fluorite but cannot be scratched by a piece of glass. What is this mineral’s hardness?
Answer:
The mineral's hardness is greater than 4 but less than 5.5 on the Mohs hardness scale.