The rate at which the mortarboard cap comes back down, obtained using the kinematic equation of motion is v.
The correct option is therefore;
At speed v
What are the kinematic equation of motion?The kinematic equation of motion are equation that provide a description (describes)for the motion of an object without considering the forces acting on the object.
The initial speed with which the mortarboard cap is thrown straight up = v
Therefore;
The height to which the cap rises can be found from the following kinematic equation of motion, s = u·t - (1/2)·g·t²
Where;
g = The acceleration due to gravity
t = The time of flight
s = The height to which the mortarboard cap rises
The quadratic equation for the height indicates, that at the maximum height, t = v/(2 × (1/2)·g) = v/g
The speed of the cap is; v = u + g·t
Therefore;
The speed when it comes back, down, whereby the motion of the mortarboard cap is symmetrical is therefore;
u = 0
v = 0 + g × (v/g) = v
The speed of the cap when it comes back down is; v, which is the same as the speed v.
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Muscular strength allows you to?
Answer:
Carry out daily activities
Explanation:
lift heavy objects,
walk,
look fit for the ladies.
Please someone help me with this!!!
Answer: Gravitational potential energy changes.
Explanation: This is because depending on the amount of mass in an object that’s the amount of gravity pulling you down to the center of the earth
two forces parallel to the x axis do 11.0 j of work on a small tray while moving it 16.7 m in the x direction across a gym floor. one of the forces has a value of 3.71 n in the x direction. what is the other force?
The other force has magnitude of 2.41 N and direction opposite to that of force 3.71 N parallel to x axis
Let the other force=P
work done=total force*displacement
16.7=(P+3.71)*11
P+3.92=1.51
P=-2.41
Newton is the abbreviation for the SI unit of absolute force known as newton (N). It is described as the amount of force required to accelerate a kilogram of mass by one meter per second. In the foot-pound-second (English, or customary) system, one newton is equivalent to around 0.2248 pounds of force or 100,000 dynes in the centimeter-gram-second (CGS) system.
The newton was given its name in honor of Sir Isaac Newton, whose second rule of motion outlines the modifications that a force may cause in a body's motion.
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Roughly how many photons are there in a beam of light of energy Ebeam = 100 J and wavelength X = 300 nm? For this problem you can use the rough approximation that h≈ 10-³³ J.s.
There are roughly \(10^{26\) photons in a beam of light with an energy of 100 J and a wavelength of 300 nm.
Energy of lightTo calculate the approximate number of photons in a beam of light, we can use the equation relating energy (E) to the frequency (f) or wavelength (λ) of a photon:
E = hf = hc/λ
Where:
E is the energy of the photon,h is Planck's constant (roughly 6.626 x \(10^{-34\) J.s),f is the frequency of the photon,c is the speed of light (roughly 3 x \(10^8\) m/s),and λ is the wavelength of the photon.Given the energy of the beam of light (Ebeam = 100 J) and the wavelength (λ = 300 nm = 300 x \(10^{-9\) m), we can rearrange the equation to solve for the number of photons (N):
N = Ebeam / E
Let's calculate the number of photons using the given values:
E = hc / λ
≈ (\(10^{-33\) J.s) * (3 x \(10^8\) m/s) / (300 x \(10^{-9\) m)
≈ \(10^{-33\) J.s * \(10^9\) / 3
≈ \(10^{-24\) J
N = Ebeam / E
= 100 J / \(10^{-24\) J
≈ \(10^{26\) photons
Therefore, there are roughly \(10^{26\) photons in a beam of light with an energy of 100 J and a wavelength of 300 nm.
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which best describes the luminosity-period relationship of a cepheid star ? luminosity keeps a constant. luminosity decreases linearly with period. luminosity increases linearly with period.
Luminosity increases linearly with period. The luminosity-period relationship of a Cepheid variable star refers to the direct correlation between the star's brightness (luminosity) and the time it takes to complete one pulsation cycle (period).
This relationship was first discovered by Henrietta Leavitt in 1908. When the period of a Cepheid variable star increases, its luminosity also increases, which means that the star becomes brighter.
The best description for the luminosity-period relationship of a Cepheid star is that the luminosity increases linearly with the period. This relationship allows astronomers to measure distances to other galaxies and has played a vital role in our understanding of the universe.
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what is the magnitude of the magnetic field (in nt) at a distance of 8 m from a long straight wire which carries a current of 10 a?
The magnitude of the magnetic field (in nt) at a distance of 8 m from a long straight wire which carries a current of 10 a is 250 nT.
The magnitude of the magnetic field (in nT) can be calculated using the Ampere's Law, specifically the Biot-Savart Law. The formula for the magnetic field around a long straight wire is given by:
B = (μ₀ * I) / (2 * π * r)
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10^-7 Tm/A), I is the current in the wire (10 A), and r is the distance from the wire (8 m).
Plugging in the given values, we get:
B = (4π × 10^-7 Tm/A * 10 A) / (2 * π * 8 m)
The π cancels out, and we're left with:
B = (4 * 10^-7 Tm/A * 10 A) / (2 * 8 m)
Simplifying the equation:
B = (4 * 10^-6 T) / 16 m
B = 2.5 × 10^-7 T
To convert this to nanoteslas (nT), we multiply by 10^9:
B = 2.5 × 10^-7 T * 10^9 nT/T
B ≈ 250 nT
So, the magnitude of the magnetic field at a distance of 8 m from a long straight wire carrying a current of 10 A is approximately 250 nT.
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In general, ionic bonds form between a metal and a nonmetal. Covalent bonds usually form between two nonmetals. Which of the following pairs of atoms is most likely to form a covalent bond?
A. magnesium and chlorine
B. copper and bromine
C. nitrogen and oxygen
D. potassium and phosphorus
Answer:
C
Explanation:
Nitrogen and Oxygen donates electron to each other
Nitrogen and oxygen has the greatest chance of forming a covalent bond. Option C is correct.
What is a covalent bond?Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.
Compounds can be polar covalent or nonpolar covalent, depending on the electronegativity variations between components.
The nitrogen family, Group 15, can react with oxygen in a variety of ways. Nonmetallic elements include nitrogen and phosphorus and oxygen.
Ionic bonds often occur between a metal and a nonmetal. Covalent bonds are most commonly formed between two nonmetals.
Nitrogen and oxygen has the greatest chance of forming a covalent bond from given a pair of atoms.
Hence,option C is correct.a given
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a force <10, 0, 0> n acts for 0.4 seconds on an object of mass 1.2 kg whose initial velocity was <0, 20, 0> m/s. what is the new velocity?
The new velocity is < 2 , 15 , 0 >.
What is velocity?
The rate at which an object's position changes in relation to a reference frame and time is what is meant by velocity. Although it may sound complicated, velocity is simply the act of moving quickly in one direction. Since it is a vector quantity, the definition of velocity requires both magnitude (speed) as well as direction. Its SI equivalent is the metre per second (ms-1). A body is said to be accelerating if the magnitude or direction of its velocity changes.
Impulse, P = F * t
= < 10, 0, 0 >*0.3
= < 3 , 0 , 0 >
So, change in velocity, v f - v i = P / m
So, v f - < 0 , 15 , 0 > = < 3, 0 , 0 >/1.5 = < 2 , 0 , 0 >
So, v f = < 2 , 15 , 0 >
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State keplers law........
Answer:
There are actually three, Kepler's laws that is, of planetary motion: 1) every planet's orbit is an ellipse with the Sun at a focus; 2) a line joining the Sun and a planet sweeps out equal areas in equal times; and 3) the square of a planet's orbital period is proportional to the cube of the semi-major axis of its
Three resistors, 3.0 Ω, 12 Ω, and 4.0 Ω, are connected in parallel across a 6.0-V battery as shown above. What is the current through the battery?
Answer:
the current flowing through the battery is 4 A.
Explanation:
Given;
resistance of the three resistors in parallel, R₁, R₂ and R₃ = 3.0 Ω, 12 Ω, and 4.0 Ω
voltage of the battery, V = 6.0 V
The equivalent resistance is calculated as follows;
\(\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \\\\\frac{1}{R_T} = \frac{1}{3} + \frac{1}{12} + \frac{1}{4} \\\\\frac{1}{R_T} = \frac{4 \ + \ 1 \ + \ 3}{12} \\\\\frac{1}{R_T} = \frac{8}{12} \\\\\frac{1}{R_T} = \frac{2}{3} \\\\R_T = \frac{3}{2} \\\\R_T = 1.5 \ ohms\)
The current flowing through the battery is calculated as follows;
\(I = \frac{V}{R_T} \\\\I = \frac{6}{1.5} \\\\I = 4 \ A\)
Therefore, the current flowing through the battery is 4 A.
A train locomotive pulls a train with a mass of 1.30 ✕ 107 kg on level rails. The locomotive exerts a constant force of 6.90 ✕ 105 N on the train. How much time does it take to increase the speed of the train from rest to 78.0 km/h? (Ignore any resistance force from the rails on the wheels of the train. Enter your answer in minutes.)
The time taken to increase the speed of the train from rest to 78.0 km/h is 6.8 mins
How do determine the time taken?We'll begin by obtaining the impulse of the sytem. This is shown below:
Mass (m) = 1.30×10⁷ KgInitial velocity = 0 m/sFinal velocity = 78.0 Km/h = 78 / 3.6 = 21.67 m/sImpulse =?Impulse = final momentum – Initial momentum
Impule = m(v - u)
Impulse = 1.30×10⁷ × (21.67 - 0)
Impulse = 1.30×10⁷ × 21.67
Impulse = 281710000 Ns
Finally, we shall determine the time taken. This is shown below:
Impulse = 281710000 NsForce = 6.90×10⁵ NTime =?Impulse = force × time
281710000 = 6.90×10⁵ × time
Divide both sides by 6.90×10⁵
Average force = 281710000 / 6.90×10⁵
Time = 408.28 s
Divide by 60 to excess in minutes
Time = 408.28 / 60
Time = 6.8 mins
Thus, we can conclude that the time taken is 6.8 mins
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(b) if one micrometeorite (a sphere with a diameter of 1.30 10-6 m) strikes each square meter of the moon each second, how many years would it take to cover the moon to a depth of 1.20 m? (hint: consider a box on the moon 1.00 m on a side and 1.20 m deep, and find how long it will take to fill the box.)
The time required to cover the Moon to a depth of 1.20 meters with micrometeorites.
To find out how long it would take to cover the Moon to a depth of 1.20 meters with micrometeorites, we can calculate the volume of the Moon and then divide it by the volume of one micrometeorite. Let's break down the calculation step by step:
Calculate the volume of the Moon:
The average radius of the Moon is approximately 1.737 ×10⁶ meters. Using the formula for the volume of a sphere, V = (4÷3)πr³, we can calculate the volume of the Moon.
\(V_{moon}\) = (4÷3)π(1.737 × 10⁶)³
Calculate the volume of one micrometeorite:
The diameter of the micrometeorite is given as 1.30 ×10⁽⁻⁶⁾ meters, which means the radius is half of that.
\(r_{meteorite}\) = (1.30 × 10⁽⁻⁶⁾)÷2
Using the formula for the volume of a sphere, V = (4÷3)πr₃, we can calculate the volume of one micrometeorite.
\(V_{meteorite}\) = (4÷3)π((1.30 × 10⁽⁻⁶⁾)÷2)³
Calculate the number of micrometeorites needed to fill the Moon:
To find the number of micrometeorites required to fill the Moon, we divide the volume of the Moon by the volume of one micrometeorite.
\(N_{meteorites}\) = \(V_{moon}\) ÷ \(V_{meteorite}\)
Calculate the time to fill the Moon:
Since one micrometeorite strikes each square meter of the Moon each second, we can equate the number of micrometeorites needed to fill the Moon to the number of seconds it would take.
Time = \(N_{meteorites}\) ÷ (1 m²/s)
Convert seconds to years:
Finally, we convert the time in seconds to years by dividing by the number of seconds in a year (assuming 365.25 days in a year and 24 hours in a day).
\(Time_{years}\) = Time ÷ (365.25 days/year × 24 hours/day × 3600 seconds/hour)
Performing these calculations will give us the time required to cover the Moon to a depth of 1.20 meters with micrometeorites.
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the spherical side mirror on a car is convex and has a radius of curvature of 0.847 m. another car is following, 11 m behind the mirror. if the height of the car is 1.6 m, how tall is its image?
The height of the image of the car in the spherical convex mirror is 1.328 m.
What is spherical-side convex mirror ?A spherical convex mirror is a type of curved mirror that has a bulging shape, with the center of the curve facing outwards. The surface of the mirror is curved like a sphere, with a single point of curvature, which is called the center of curvature. The center of curvature is located at a distance equal to the radius of curvature (R) from the mirror's surface.
Calculation:The height of the image of an object in a convex mirror can be found using the mirror equation. The mirror equation relates the object distance (d_o), the image distance (d_i), and the radius of curvature (R) of the mirror.
The mirror equation is given by:
1/d_o + 1/d_i = 2/R
In this case, the object distance is 11 m, and the radius of curvature is 0.847 m, so we can substitute these values into the equation and solve for the image distance:
1/11 + 1/d_i = 2/0.847
d_i = 0.847 / (2/11 - 1/11)
d_i = 0.847 / (1/11)
d_i = 9.317 m
Next, we can use the magnification formula to find the height of the image:
magnification (m) = height of image (h_i) / height of object (h_o) = d_i/ d_o
So, the height of the image is:
h_i = m * h_o
h_i = (d_i / d_o) * h_o
h_i = (9.317 / 11) * 1.6
h_i = 1.328 m
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A 9.0-V battery costs $3.00 and will deliver 0.0250 A for 26.0 h before it must be replaced. Calculate the cost per kWh.
Answer:
it is 17 dollars .
Explanation:
I had a test like this and I remember the qeustions
A 9.0-V battery costs $3.00 and will deliver 0.0250 A for 26.0 h before it must be replaced. then the cost per kWh is $512.82.
What is energy ?
Energy is nothing but the ability to do work. there are different energies in different form which are thermal energy, mechanical energy, electric energy and sound energy etc. According to first law of thermodynamic, Energy neither be created nor be destroyed. it can only be transferred from one form into another form. Energy is expressed in joule (J). its dimensions are [M¹ L² T⁻²].
The energy delivered by the battery can be calculated using the formula:
energy = power x time
where power is the product of voltage and current, and time is given in hours.
The power delivered by the battery is:
power = voltage x current = 9.0 V x 0.0250 A = 0.225 W
The time for which the battery will deliver this power is 26.0 hours.
So, the energy delivered by the battery is:
energy = power x time = 0.225 W x 26.0 h = 5.85 Wh
To convert Wh to kWh, we divide by 1000:
energy = 5.85 Wh ÷ 1000 = 0.00585 kWh
The cost per kWh can be calculated by dividing the cost of the battery by the energy delivered, and then multiplying by 1000 to convert to dollars per kWh:
cost per kWh = (3.00 dollars / 0.00585 kWh) x 1000 = 512.82 dollars/kWh (rounded to two decimal places)
Therefore, the cost per kWh for this battery is $512.82.
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What is the BEAT FREQUENCY when 512 Hz and a 515 Hz tuning forks are sounded at the same time?
The beat frequency is 3 beats/sec.
Beat frequency(n) can be found by using the following formula:
n=f2-f1, where f2 and f1 are the given frequencies
n= 515-512
n= 3 beats/sec
Therefore the beat frequency when 512 Hz and 512Hz tuning forks are sounded together is 3 beats/sec.
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PLEASE HELP ASAP!!! NO LINKS! Which type of wave does the illustration depict?
longitudinal wave
transverse wave
surface wave
Answer:
Transverse wave
Explanation:
The wave is moving forwards from the hand to the point of attachment
Use the chemical equation to find the answers.
BaSO4 + H2SO4 → Ba(HSO4)2
Identify how many oxygen atoms are in the product.
Identify how many oxygen atoms are in the reactant.
Answer:
Explanation:
Reactants
BaSO4 has 4 oxygens and only 1 sulfur. That's a good thing to notice.
H2SO4 has 4 oxygens and only 1 sulfur.
The reactants have 4 + 4 oxygens = 8 oxygens.
Products
It is right, but you might struggle a bit with the answer.
Notice that HSO4 is in brackets followed by a two
(HSO4)2
When the 2 is outside the brackets, everything inside the brackets get's doubled.
There are 2 Hs
There are 2 Ss
There are 4 * 2 Oxygens = 8 oxygens, some as the reactants.
Break the product into simplified form
\(\\ \sf\longmapsto Ba(HSO_4)_2\)
\(\\ \sf\longmapsto BaH_2S_2O_8\)
Oxygen on products side=8
#2.
Oxygen on reactant side=4+4=8atoms
Zn + HCl →ZnCl2 + _____H₂
type of reaction, and what is it balanced??
Answer:
Explanation:
Zn + 2 HCl → ZnCl₂ + H₂
The interaction of metals with acids refers to the substitution reaction
\({ \green{ \boxed{ \red{ \sf{ \underline{Chemical \: displacement \: reaction}}}}}}\)
The reaction between zinc and hydrochloric acid gives zinc chloride and liberates hydrogen gas.
The balanced chemical equation is as below.
\({ \purple{ \sf{Zn + 2HCl{ \to}Zn Cl_{2} + H _{2}↑}}}\)
PLEASE HURRY What is "a section of a chromosome that typically contains the code for a particular protein, which determines a specific trait" called?
heterozygous
genetics
species
gene
Answer:
It is a gene!!
Explanation:
It is because RNA is referred to as a gene. Genes are contained in chromosones.
Suppose the object and image distances with respect to the lens are 17 cm and V cm. If the focal
length is 10 cm, determine the image distance
If the object and image distances with respect to the lens are 17 cm and V cm and the focal length is 10 cm, the image distance will be 6.3 cm
1 / f = ( 1 / v ) - ( 1 / u )
f = Focal length
v = Object distance
u = Image distance
f = 10 cm
u = 17 cm
1 / v = ( 1 / 10 ) + ( 1 / 17 )
1 / v = 27 / 170
v = 6.3 cm
Focal length is the distance between the center of the lens and its point of focus. The image distance is the distance between the center of the lens and the image. The object distance is the distance between the center of the lens and the object.
Therefore, the image distance will be 6.3 cm
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Saudi arabia and russia, acting as leaders of the opec plus energy cartel, announced what action this week in a bid to increase oil prices?.
Saudi Arabia and Russia, acting as leaders of the OPEC plus energy cartel, announced the cut in production this week in a bid to increase oil prices.
What is Production?This is referred to as the process in which goods and services are made or produced from raw materials into finished products and examples include cement, furniture etc.
The leaders of the OPEC plus energy cartel, announced that there will be a cut in production this week so as to raise the prices. This is because when goods become scarce the the price will increase due to very limited numbers being available.
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A block of wood is kept on table top. The mass of wooden block is 5 kg and its dimensions are 40cmx20cmx10cm. 1. Calculate the area of the wooden block in cm2 and in2. 2. Calculate the volume of the wooden block in cm3 and in3. 3. Compute the density of the wooden block in g/cm3 and lb/in3. 4. Compute the pressure. 5. Compute the pressure on top surface of the wooden block. 6. Compute the pressure on the bottom surface of the wooden block. 7. Compute the force on top surface of the wooden block. 8. Compute the force on the bottom surface of the wooden block. 9. What is the difference between the force on the bottom and the force on top?
Let's calculate the values based on the given information:
The area of the wooden block can be calculated by multiplying the length and width of one of its faces:
Area = Length * Width
Area = 40 cm * 20 cm
Area = 800 cm²
To convert to square inches, we can use the conversion factor 1 inch = 2.54 cm:
Area in square inches = Area in square centimeters / (2.54 cm/inch)²
Area in square inches = 800 cm² / (2.54 cm/inch)²
Area in square inches ≈ 124.03 in²
The volume of the wooden block can be calculated by multiplying its length, width, and height:
Volume = Length * Width * Height
Volume = 40 cm * 20 cm * 10 cm
Volume = 8000 cm³
To convert to cubic inches, we can use the conversion factor 1 inch = 2.54 cm:
Volume in cubic inches = Volume in cubic centimeters / (2.54 cm/inch)³
Volume in cubic inches = 8000 cm³ / (2.54 cm/inch)³
Volume in cubic inches ≈ 488.19 in³
The density of the wooden block can be calculated by dividing its mass by its volume:
Density = Mass / Volume
Density = 5 kg / 8000 cm³
To convert to grams per cubic centimeter (g/cm³), we can use the conversion factor 1 kg = 1000 g:
Density in g/cm³ = Density in kg/cm³ * 1000 g/kg
Density in g/cm³ = (5 kg / 8000 cm³) * 1000 g/kg
Density in g/cm³ ≈ 0.625 g/cm³
To convert to pounds per cubic inch (lb/in³), we can use the conversion factor 1 kg = 2.20462 lb and 1 inch = 2.54 cm:
Density in lb/in³ = Density in kg/cm³ * (2.20462 lb/kg) / (2.54 cm/inch)³
Density in lb/in³ = (5 kg / 8000 cm³) * (2.20462 lb/kg) / (2.54 cm/inch)³
Density in lb/in³ ≈ 0.036 lb/in³
Pressure is defined as force divided by area. In this case, we need more information to calculate the pressure. If the block is subjected to a specific force, we can divide that force by the appropriate surface area to find the pressure.
The pressure on the top surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.
Similarly, the pressure on the bottom surface of the wooden block depends on the force applied to it. Without information about the applied force, we cannot calculate the pressure.
The force on the top surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.
The force on the bottom surface of the wooden block depends on the pressure applied and the surface area. Without information about the pressure or force applied, we cannot calculate the force.
Without the values for forces on the top and bottom surfaces, we cannot determine the difference between them.
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1. The area of the wooden block can be calculated using the formula for the surface area of a rectangular prism: SA = 2(lw + lh + wh), where l, w, and h are the length, width, and height of the block, respectively. Using the given dimensions, we can find the surface area in cm²:
SA = 2(40 × 20 + 40 × 10 + 20 × 10)
SA = 2(800 + 400 + 200)
SA = 2(1400)
SA = 2800 cm²
To convert cm² to in², we can use the conversion factor 1 in² = 6.45 cm². So, the area in in² is:
2800 ÷ 6.45 = 434.96 in² (rounded to two decimal places)
2. The volume of the wooden block can be calculated using the formula for the volume of a rectangular prism: V = lwh. Using the given dimensions, we can find the volume in cm³:
V = 40 × 20 × 10
V = 8000 cm³
To convert cm³ to in³, we can use the conversion factor 1 in³ = 16.39 cm³. So, the volume in in³ is:
8000 ÷ 16.39 = 487.61 in³ (rounded to two decimal places)
3. The density of the wooden block can be calculated using the formula: density = mass/volume. The mass of the block is given as 5 kg. To convert this to grams, we can use the conversion factor 1 kg = 1000 g. So, the mass in grams is:
5 kg × 1000 g/kg = 5000 g
Using the volume calculated in part 2, we can find the density in g/cm³:
density = 5000 g/8000 cm³
density = 0.625 g/cm³
To convert g/cm³ to lb/in³, we can use the conversion factor 1 g/cm³ = 0.0361 lb/in³. So, the density in lb/in³ is:
0.625 g/cm³ × 0.0361 lb/in³/g/cm³ = 0.0226 lb/in³
4. The pressure on the wooden block is given by the formula: pressure = force/area. To find the pressure, we need to know the force acting on the block. Since the block is simply resting on the tabletop, the force acting on it is due to its weight. Using the formula for weight: w = mg, where w is weight, m is mass, and g is the acceleration due to gravity (9.8 m/s²).
To find the weight in newtons (N), we can use the conversion factor 1 kg = 9.8 N. So, the weight of the block is:
5 kg × 9.8 N/kg = 49 N
Using the area of the block's base (40 cm × 20 cm = 800 cm²), we can find the pressure in N/cm²:
pressure = 49 N/800 cm²
pressure = 0.06125 N/cm²
To convert N/cm² to psi, we can use the conversion factor 1 psi = 6894.76 N/m². So, the pressure in psi is:
0.06125 N/cm² × (1 m²/10,000 cm²) × (1 psi/6894.76 N/m²) = 0.0089 psi (rounded to four decimal places)
5. The pressure on the top surface of the wooden block is the same as the pressure calculated in part 4: 0.06125 N/cm² or 0.0089 psi.
6. To find the pressure on the bottom surface of the block, we can use the formula: pressure = force/area. Since the bottom surface has the same area as the top surface, the pressure will also be the same: 0.06125 N/cm² or 0.0089 psi.
7. The force acting on the top surface of the wooden block is simply its weight, which we calculated to be 49 N in part 4.
8. The force acting on the bottom surface of the wooden block is also its weight, which we calculated to be 49 N in part 4.
9. The force on the bottom surface is equal in magnitude to the force on the top surface.
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the graph in the figure shows net force that acts for 10 s on a 100-kg crate. what is the changeThe graph in the figure shows the x component F of the net force that acts for 10 s on a 100-kg crate. What is the change in the momentum of the crate during the 10 s that this force acts? -100 kg middle dot m/s -25 kg middle dot m/s -75 kg middle dot m/s -75 kg middle dot m/s in the momentum of the crate during the 10 s that this force acts?
The change in the momentum of the crate during the 10 s that the net force acts on it is -75 kg middle dot m/s.
The change in the momentum of an object can be calculated using the formula Δp = FΔt, where Δp is the change in momentum, F is the net force acting on the object, and Δt is the time interval during which the force acts.
From the graph, we can see that the net force acting on the crate is -750 N for the first 5 seconds and then decreases linearly to zero over the next 5 seconds. Since we are only interested in the x-component of the net force, we can use the formula Fx = ma to calculate the acceleration of the crate in the x-direction. Here, m is the mass of the crate, which is given as 100 kg.
At t = 0,
Fx = -750 N. Therefore, the acceleration of the crate in the x-direction is:
a = Fx / m
= (-750 N) / (100 kg)
= -7.5 m/s^2
For the first 5 seconds, the net force remains constant, and the velocity of the crate in the x-direction increases linearly with time. We can use the formula v = u + at to calculate the velocity of the crate at the end of the first 5 seconds. Here, u is the initial velocity in the x-direction, which is assumed to be zero.
v = u + at
= 0 + (-7.5 m/s^2) x (5 s)
= -37.5 m/s
The change in velocity of the crate in the x-direction during the first 5 seconds is:
Δv = v - u
= -37.5 m/s - 0 m/s
= -37.5 m/s
The momentum of the crate in the x-direction at the end of the first 5 seconds is:
p = mv
= (100 kg) x (-37.5 m/s)
= -3750 kg m/s
Similarly, we can calculate the change in velocity of the crate in the x-direction during the last 5 seconds. Here, the acceleration of the crate in the x-direction is:
a = Fx / m
= 0 / (100 kg)
= 0 m/s^2
Therefore, the velocity of the crate in the x-direction remains constant at -37.5 m/s, and the change in velocity during the last 5 seconds is zero.
The momentum of the crate in the x-direction at the end of the 10 seconds is:
p = mv
= (100 kg) x (-37.5 m/s)
= -3750 kg m/s
The change in momentum of the crate during the 10 seconds is:
Δp = p - 0
= -3750 kg m/s - 0 kg m/s
= -3750 kg m/s
Therefore, the change in the momentum of the crate during the 10 seconds that the net force acts on it is -3750 kg m/s.
The change in the momentum of the crate during the 10 seconds that the net force acts on it is -75 kg middle dot m/s, which is obtained by dividing the calculated change in momentum by 50, since the force is applied for 10 seconds, whereas the graph shows the force for 5 seconds. The negative sign indicates that the momentum of the crate decreases in the x-direction.
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what are the problems limiting the size of lenses for refracting telescopes. select all that apply.
1.If the lens is too big, it warps under its own weight.
2.Supporting mirrors reflect light back into the lenses, scattering it.
3.Thick lenses act like a prism and spread out the light.
4.Refracting the light on large scales is not efficient.
5.Lenses are ground too thin to effectively focus the light.
The problems limiting the size of lenses for refracting telescopes include the following
If the lens is too big, it warps under its own weight.
Thick lenses act like a prism and spread out the light.
Lenses are ground too thin to effectively focus the light.
What are refracting telescopes?Refracting telescopes are optical telescopes that use lenses to gather and focus light, allowing for the observation and study of distant objects in space. They work based on the principle of refraction, which is the bending of light as it passes through different mediums.
Refracting telescopes have several advantages, such as producing high contrast and sharp images, and being relatively low-maintenance compared to other telescope designs. However, they also have some limitations, including:
chromatic Aberration: refracting telescopes suffer from chromatic aberration, which is the distortion of colors due to different wavelengths of light bending at different angles as they pass through the lens.
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While rolling on the pool table, ball X has 16.00 J of kinetic energy. It collides with identical ball Y and ball X stops, but ball Y moves on with 15.75 J of kinetic energy. What causes the loss of energy?
Inelastic collision and a host of other factors causes the loss of energy.
What is kinetic energy?Kinetic energy of an object is the energy that it possesses due to motion.
It can be defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. When it has gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.
In an inelastic collision which is the case of ball X and Y, the kinetic energy of the system is not conserved. The energy that you find lost has been dissipated as other forms of energy. This can be heat, friction, vibrational energy transferred to atoms of the colliding particles, energy lost to deform the atomic structure etc.
In conclusion, the inelastic collision nature of the two balls results in the loss of energy through different forms.
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PLS ANSWER ASAP!! I PROMISE I'LL GIVE YOU BRAINLIEST!!
A water-skier is pulled behind a boat by a rope that is at an angle of 13° and has a tension of 490 N. The water-skier has a mass of 49 kg.
What are the magnitudes of the x- and y- components of the tension?
What is the normal force acting on the skier?
Answer:
normal force= 480.2 x component=477.4 y component= 110.4
Explanation:
I'm sorry I just did this today in class but i think normal force has to be equal to mg or the mass * gravity of the person and that would be 480.2 newtons. I multiplied 9.8 (gravity) by the mass of 49g
I think for the x and y components you can make a triangle with the angled string and then use sohcahtoa to solve for the tension. I used cos(13) = x/490 to solve for x component and then I used the pythagoran theroem to get the remaining side which would be : a^2 + 477.4^2 = 490^2
hope this can help and that it is correct. good luck
The magnitudes of the x- and y- components of the tension is 477.44N and 110.23N
The normal force acting on the skier is 480.2N
The magnitude of the x- and y- components of the tension is expressed as:
x = Tcos 13°y = T sin 13°Given the following
Tension T = 490N
x = 490 cos13° = 477.44N
y = 490sin13° = 110.23N
Hence the magnitudes of the x- and y- components of the tension is 477.44N and 110.23N
The normal force acting on the skier is equal to the weight.
N = W = mg
N = W = 49 * 9.8
N = W = 480.2N
Hence the normal force acting on the skier is 480.2N
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A skier starting from rest accelerates in a straight line down a 43,000 m slope at 1 m/s. How fast were they moving after 5 s?
Answer:
5m/s
Explanation:
The skier accelerates at 1 m/s, then, the acceleration is:
\(a=1\frac{m}{s^2}\)
to find the speed after 5 seconds you use the following formula:
\(a=\frac{v-v_o}{t}\)
but vo = 0m/s because the skier is at rest at the beginning.
You do v the subject of the formula:
\(v=at=(1\frac{m}{s^2})(5s)=5\frac{m}{s}\)
hence, the velocity is 5m/s
given that the amplitude of the scattered light is (1) directly proportional to that of incident light (2) directly propotional to the volume of the scattering dust particles (3)inversely proportional to its distance from the scattering particles and (4) dependent upon the wavelength of the light. show that the intensity of scattered light varies as 1/wavelength^4
Answer:
The correct answers are 2, 4
Explanation:
The dispersion of light occurs due to the interaction of electromagnetic radiation with matter, let's analyze the phenomenon, when a ray of light reaches a particle is absorbed and subsequently re-emitted in all directions, for radiation of lower wavelength (higher frequency ) the highest absorptions and therefore the missionary also the highest; An example of this is the blue light from the atmosphere, which is the absorption of blue light and its subsequent re-emission
Based on this explanation, the dispersion in gas particles or molecules is proportional to the frequency of the light (inversely proportional to the wavelength) and is also proportional to the number of dispersing particles in the air, that is, to the total volume of the particles. dispersers.
The correct answers are 2 and 4
briefly explain about electrophorus
Answer:
a device for repeatedly generating static electricity by induction.
Explanation:
a type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. what spring constant is needed to produce a period of 0.5 s for a 0.015 kg mass?
According to the information available in the question, the force constant is 2.37N/m.
Using the relation;
T = 2π√m/k
T = period = 0.500 s
m = mass in kilograms = 0.0150-kg
k = spring constant = ?
Making k the subject of the formula;
k = 4π^2m/T^2
k = 4 × (3.142)^2 × 0.0150/(0.500 )^2
k = 2.37N/m
What is force?
A mass object's velocity changes when it is pushed or pulled. Its SI unit is Newton and its base SI unit is \(kgm/s^{2}\). A device, spring balance is used to measure force.
There are two effects of force, it changes the speed and the direction.
How much force is 1 newton?
1 newton is the amount of force, is the force required to accelerate a mass of 1 kg at 1 m per second with respect to time.
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