A scale which reads 0 in the vacuum of space is placed on the surface of planet Physica. On the planet's surface, the scale indicates a force of 10,000 Newtons. The surface area of the scale is 0.125 square meters.
To calculate the surface area of the scale, we can use the formula:
P = F/A
where P is the pressure, F is the force, and A is the surface area.
Given that the atmospheric pressure on the surface of Physica is 80,000 Pascals and the scale indicates a force of 10,000 Newtons, we can plug in these values into the equation:
80,000 Pa = 10,000 N / A
To solve for A, we can rearrange the equation:
A = 10,000 N / 80,000 Pa
A = 0.125 m²
In summary, based on the given information, the surface area of the scale on the surface of planet Physica is calculated to be 0.125 square meters.
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1. Which of the following is NOT a vector quantity? (a) Displacement. (b) Energy. (c) Force. (d) Momentum. (e) Velocity.
Answer:
B. energy
Explanation:
A vector has direction.
Energy does not have a direction.
.An object weighing 5kg is dropped from a height of 25m. Find the:
a.potential energy and its kinetic energy at the instant it is dropped.
b.potential energy and its kinetic energy at the time it is 15m high.
c.velocity when it is 15m high.
d.height when velocity is 12 m/s.
e.potential energy and its kinetic energy at the time it strikes the ground.
f.velocity with which it hits the ground.
Answer:
f
Explanation:
a. The potential energy and its kinetic energy at the instant it is dropped will be 1126.25 J and 0 J respectively.
b. The potential energy and its kinetic energy at the time it is 15m high will be 735.75 J and 390.25 J respectively.
c. The velocity when it is 15m high will be 156.1 m/sec.
d. The height when velocity is 12 m/s will be 15.62 m
e. The potential energy and its kinetic energy at the time it strikes the ground will be 0 J and 1126.25 J respectively
f. The velocity with which it hits the ground will be 21.22 m/sec.
What is kinetic energy?The energy of the body by the virtue of its motion is known as the kinetic energy of the body. It is defined as the product of half of mass and square of the velocity.
According to the law of conservation of energy, the total energy is defined as the sum of kinetic energy and potential energy.
Total energy = kinetic energy+potential energy
Also, the energy can not be created nor be destroyed can be transferred from one form to another form.
Kinetic energy is due to the position.While the kinetic energy is due to the velocity.
a)The potential energy and its kinetic energy at the instant it is dropped.
\(\rm PE_{drop}=mgh \\\\\ PE_{drop}=5 \times 9.81 \times 25 \\\\ PE_{drop}=1126.25 \ J\)
\(\rm KE_{drop}=\frac{1}{2} mv^2 \\\\ v= 0 \\\\ KE_{drop}=0 \ J\)
TE= 1126.25+0
TE= 1126.25+0
b. Potential energy and its kinetic energy at the time it is 15m high.
\(\rm PE_{15}=mgh \\\\ \rm PE_{15}= 5 \times 9.81 \times 15 \\\\ PE_{15}=735.75 \ J\)
TE=KE+PE
1126.25=KE+735.75
KE=390.25
c) Velocity when it is 15m high
\(\rm KE=390.25\\\\ 390.25=\frac{1}{2} \times 5 \times v_{15}^2 \\\\ v_{15}=156.1\ m/sec\)
d. Height when velocity is 12 m/s.
\(\rm KE = \frac{1}{2}mv^2 \\\\\ KE =\frac{1}{2} \times 5 \times (12)^2 \\\\ KE=360\ J\)
TE=KE+PE
1126.25=360+PE
PE=766.25
PE=766.25
mgh=766.25
5 ×9.81 ×h=766.25
h=15.62 m
E. Potential energy and its Kinetic energy at the time it strikes the ground.
\(\rm PE_{ground}=0 \ J\)
TE=KE+PE
TE=KE+0
TE=KE
TE= 1126.25
KE=1126.25 J
f. Velocity with which it hits the ground.
\(\rm KE_{ground}=1126.25 J \\\\ \frac{1}{2} mv^2=1126.25\\\\ v^2 = 450 \\\\ v= 21.22 \ m/sec\)
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A 10 kg migratory swan cruises at 20m/s. A calculation that takes into ac-count the necessary forces shows that this motion requires 200W of mechanical power. If we assume an efficiency similar to humans (say, 25%), a reasonableassumption, then the metabolic power of the swan is significantly higher thanthis. The swan does not stop to eat during a long day of flying; it get theenergy it needs from fat stores. Assuming an efficiency similar to humans, after12 hours of flight.
Required:
a. How far has the swan traveled?
b. How much metabolic energy has it used?
c. What fraction of its body mass does it lose?
Answer:
Part A:
Distance=864000 m=864 km
Part B:
Energy Used=ΔE=8638000 Joules
Part C:
\(\frac{\triangle m}{m}=0.004998=0.49985\%\)
Explanation:
Given Data:
v=20m/s
Time =t=12 hours
In Secs:
Time=12*60*60=43200 secs
Solution:
Part A:
Distance = Speed**Time
Distance=v*t
Distance= 20*43200
Distance=864000 m=864 km
Part B:
Energy Used=ΔE= Energy Required-Kinetic Energy of swans
Energy Required to move= Power Required*time
Energy Required to move=200*43200=8640000 Joules
Kinetic Energy=\(\frac{1}{2}mv^2\)
\(K.E\ of\ Swans=\frac{1}{2} *10*(20)^2=2000\ Joules\)
Energy Used=ΔE=8640000 -2000
Energy Used=ΔE=8638000 Joules
Part C:
Fraction of Mass used=Δm/m
For This first calculate fraction of energy used:
Fraction of energy=ΔE/Energy required to move
ΔE is calculated in part B
Fraction of energy=8638000/8640000
Fraction of energy=0.99977
Kinetic Energy=\(\frac{1}{2}mv^2\)
Now, the relation between energies ratio and masses is:
\(\frac{\triangle E}{E}=\frac{\triangle m}{2m}v^2\)
\(\frac{\triangle m}{m}=\frac{2}{v^2} *\frac{\triangle E}{E}\\\frac{\triangle m}{m}=\frac{2}{20^2} *0.99977\)
\(\frac{\triangle m}{m}=0.004998=0.49985\%\)
A gas is contained in a cylinder with a frictionless moveable piston at a pressure of 2.7 * 105 pascals and a volume of 0.04 cubic meters. What is the work done by the gaseous system if the volume is increased to 0.12 cubic meters ?
The work done by the gaseous system if the volume is increased to 0.12 cubic meters is given as 21,600 joules
How to solve for the workdoneTo find the work done by the gas, we can use the formula:
W = PΔV
where W is the work done, P is the pressure of the gas, and ΔV is the change in volume.
At the initial state, the pressure is P = 2.7 × 10^5 Pa and the volume is V1 = 0.04 m^3. At the final state, the volume is V2 = 0.12 m^3.
The change in volume is ΔV = V2 - V1 = 0.12 m^3 - 0.04 m^3 = 0.08 m^3.
Substituting these values into the formula, we get:
W = PΔV = (2.7 × 10^5 Pa) × (0.08 m^3) = 21,600 J
Therefore, the work done by the gaseous system is 21,600 joules (J).
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Answer:
4.6x10^4 joules
Explanation:
What is the value of the electric potential at the center of the triangle if q1 = 4.1 μC , q2 = 3.4 μC , q3 = -3.5 μC ?
Answer:
triangle if q1 = 4.1 μC , q2 = 3.4 μC , q3 = -3.5 μC ?
Q.Solve the following circuit find total resistance RT. Also find value of voltage across resister RC.
Answer:
R_total = 14.57 Ω , V_C = 1.176 V
Explanation:
To solve this circuit we are going to find the equivalent resistance of each branch, let's remember
* Serial resistance
\(R_{eq}\) = ∑ \(R_{i}\)
* For resistance in parallel
1 / R_{eq} = ∑ 1/R_{i}
We solve the two branches of the wheatstone bridge
Series resistors
Branch B
R_B = Rb + R4
R_B = 2 + 18
R_B = 20 Ω
Branch C
R_C5 = Rc + R5
R_C5 = 3 + 12
R_C5 = 15 Ω
Resistance in parallel R_B and R_C5
1 / R_BC = 1 / R_B + 1 / R_C5
1 / R_BC = 1/20 + 1/15 = 0.116666
R_BC = 8.57 Ω
Now we have a single branch, we solve the series resistance
R_total = R_A + R_BC
R_total = 6 + 8.57
R_total = 14.57 Ω
b) they ask us for the voltage in the resistance R_C
Let's remember that the voltage in a series circuit is the sum of the voltages
10 = V_a + V_BC
10 = i R_a + i R_BC = i (R_a + R_BC)
i = 10 / (R_a + R_BC)
i = 10 / (14.57)
i = 0.6863 A
The current in the series circuit is constant
V_BC = i R_BC
V_BC = 0.6863 8.57
V_BC = 5.8819 V
This voltage is divided in the bridge, for the two branches in parallel it is the same, but the resistance is different in each branch.
Branch C
V_BC = i R_C5
i = V_BC / R_C5
i = 5.8819 / 15
i = 0.39213 A
In this branch we have two resistors in series, let's remember that the current in a series circuit is constant
V_C = i R_C
V_C = 0.39213 3
V_C = 1.176 V
A ball that is attached to a string travels in a horizontal, circular path, as shown in Figure 1. At time t0 , the ball has a speed v0 . The forces exerted on the ball at t0 are represented by the free-body diagram, as shown in Figure 2. At a later time t1 , the tangential speed of the ball is increased to 2v0 . What is the magnitude of the force that the ball exerts on the string at time t1 ?
Answer:
F₁ = 4 F₀
Explanation:
The force applied on the string by the ball attached to it, while in circular motion will be equal to the centripetal force. Therefore, at time t₀, the force on ball F₀ is given as:
F₀ = mv₀²/r --------------- equation (1)
where,
F₀ = Force on string at t₀
m = mass of ball
v₀ = speed of ball at t₀
r = radius of circular path
Now, at time t₁:
v₁ = 2v₀
F₁ = mv₁²/r
F₁ = m(2v₀)²/r
F₁ = 4 mv₀²/r
using equation (1):
F₁ = 4 F₀
Mark and Nancy both take three measurements of the length of a pencil that is 15.1 cm. Mark records 15.0, 15.0, and 15.1 cm. Nancy records 15.1, 15.2, and 15.2 cm. Which of the following statements is true about Mark and Nancy's measurements?
A. Mark's measurement is more precise.
B. Nancy's measurement is more accurate.
C. Mark's measurement is more accurate.
D. Both sets of measurements are equally accurate and precise.
5 problem associated with PopulationCensus
Answer:
1. High Illiteracy Rate in a Nation has a Negative Impact on the Conducting of Census
2.Corruption Interferes with Census
3.Traditional and Religious Beliefs can Interfere with the Census Exercise
4.insufficient and Ineffective Census Educational Campaign
5.Insufficient Census Experts
Explanation:
Normal forces are applied uniformly over the surface of a spherical volume of water whose radius is 20.0 cm. If the pressure on the surface is increased by 200 MPa, by how much does the radius of the sphere decrease?
The radius of the sphere decreases by 11 mm when the pressure on its surface is increased by 200 MPa.
To determine the decrease in radius of the spherical volume of water when the pressure on its surface is increased, we can use the equation relating pressure to the radius of a sphere:
ΔP = K/R
Where ΔP is the change in pressure, K is a constant, and R is the radius of the sphere.
In this case, we're given that ΔP (change in pressure) is 200 MPa and the initial radius R is 20.0 cm. We need to find the change in radius ΔR.
We can rearrange the equation to solve for ΔR:
ΔR = K/ΔP
Now, we need to determine the value of the constant K. The constant K depends on the bulk modulus of the material, which is a measure of its resistance to compression. For water, the bulk modulus is approximately 2.2 GPa (gigapascals).
Substituting the values into the equation, we have:
ΔR = (2.2 GPa) / (200 MPa)
To simplify the calculation, we need to convert the units so that they are consistent. Let's convert GPa to MPa:
ΔR = (2.2 GPa * 1000 MPa/GPa) / (200 MPa)
ΔR = 11 mm
Therefore, the radius of the sphere decreases by 11 mm when the pressure on its surface is increased by 200 MPa.
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A pot holds water. The water and pot and air are all at the same temperature, therefore no heat is being transferred. Which law of thermodynamics supports this statement?
According to the zeroth law of thermodynamics, no heat is transferred between the two objects if both the objects are at the same temperature.
Thus, no heat transfer between the water, pot, and air occurs according to the zeroth law of thermodynamics.
Hence, the zeroth law of thermodynamics is the correct answer.
Taking care of yourself can sometimes be hard work and can even lead to feelings of
Answer:
deception
Explanation:
Which of the following is man made and is used to store water for drinking or irrigation
Answer:
Reservoir.
Explanation:
3. Which of the following processes provides the water necessary for human consumption?
O precipitation
O evaporation
O sublimation
O perspiration
Answer:
precipitation is the answer..
Explanation:
precipitation is any product of the condensation of atmospheric water vapor that falls under gravitational pull from clouds. The main forms of precipitation include drizzling, rain, sleet, snow, ice pellets, graupel and hail.
3. A small statue is recovered in an archaeological dig. Its weight is measured to be 96 lb, and its volume 0.08 ft3. a. What is the statue’s weight density?
Answer:
\(d=1200\ lb/ft^3\)
Explanation:
Given that,
The weight of the statue, m = 96 lb
The volume of the statue = 0.08 ft³
We need to find the statue’s weight density. We know that the density of an object is the mass of an object divided by its volume. So,
\(d=\dfrac{m}{V}\\\\d=\dfrac{96\ lb}{0.08\ ft^3}\\\\d=1200\ lb/ft^3\)
So, the density of the statue is equal to \(1200\ lb/ft^3\).
A metallic ring of mass 1 kg has moment of inertia 1 kg m² when rotating about one of its diameters. It is molten and
remoulded into a thin uniform disc of the same radius. How much will its moment of inertia be, when rotated about its own
axis.
Answer:
The moment of inertia of disc about own axis is 1 kg-m².
Explanation:
Given that,
Mass of ring m= 1 kg
Moment of inertia of ring at diameter \((I_{r})_{d}=1\ kg\ m^{2}\)
The radius of metallic ring and uniform disc both are equal.
So, \(R_{r}=R_{d}\)
We need to calculate the value of radius of ring and disc
Using theorem of perpendicular axes
\((I_{r})_{c}=2\times (I_{r})_{d}\)
Put the value into the formula
\((I_{r})_{c}=2\times1\)
\((I_{r})_{c}=2\ kg\ m^2\)
Put the value of moment of inertia
\(MR_{r}^2=2\)
\(R_{r}^2=\dfrac{2}{M}\)
Put the value of M
\(R_{r}^2=\dfrac{2}{1}\)
So, \(R_{r}^2=R_{d}^2=2\ m\)
We need to calculate the moment of inertia of disc about own axis
Using formula of moment of inertia
\(I_{d}=\dfrac{1}{2}MR_{d}^2\)
Put the value into the formula
\(I_{d}=\dfrac{1}{2}\times1\times2\)
\(I_{d}=1\ kg\ m^2\)
Hence, The moment of inertia of disc about own axis is 1 kg-m².
What part of the sweating process promotes cooling?
wiping sweat from the surface of the skin
condensation of liquid sweat on the skin
liquid (sweat) sitting on the skin’s surface
evaporation of liquid sweat from the skin
Answer: Condensation of liquid sweat on the skin
Explanation:
A cup of water plugged by a brown cork is insulated by a second styrofoam cup. A black rod and a thermometer are inserted through the cork into the water. The thermometer is A, the water is B, the outer cup is C. This part insulates the reaction chamber from the transfer of heat to or from the surrounding environment. This part contains a known amount of water, which is placed there before the experiment starts. This part is where the metal is placed at the beginning of the experiment. This part is used for measuring the initial and final temperatures of the water.
The part that insulates the reaction chamber from the transfer of heat to or from the surrounding environment is (C).
How to illustrate the information?It should be noted that the cup of water plugged by a brown cork is insulated by a second styrofoam cup.
In this case, the black rod and a thermometer are inserted through the cork into the water.
This part that contains a known amount of water, which is placed there before the experiment starts is (B).
This part is where the metal is placed at the beginning of the experiment is (B).
This part that is used for measuring the initial and final temperatures of the water is (A).
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Answer:
Explanation:
C
B
B
A
Edge 2022
A spring scale hung from the ceiling stretches by 5.9 cm
when a 1.6 kg
mass is hung from it. The 1.6 kg
mass is removed and replaced with a 2.1 kg
mass.
Part A
What is the stretch of the spring?
Express your answer with the appropriate units.
The stretch of the spring is proportional to the weight of the mass hung from it. Since the spring stretches by 5.9 cm when a 1.6 kg mass is hung from it, we can use this information to find the stretch when a 2.1 kg mass is hung from it.
The stretch of the spring is given by:
stretch = (mass x gravity x length) / (spring constant)
where mass is the mass hung from the spring, gravity is the acceleration due to gravity (9.81 m/s^2), length is the stretch of the spring, and the spring constant is a measure of the stiffness of the spring (measured in N/m).
We can rearrange this equation to solve for the stretch of the spring:
stretch = (mass x gravity x length) / (spring constant)
length = (spring constant x stretch) / (mass x gravity)
Substituting the given values, we get:
length = (spring constant x 0.059 m) / (1.6 kg x 9.81 m/s^2)
Simplifying, we get:
length = 0.236 m
Therefore, the stretch of the spring when a 2.1 kg mass is hung from it is 0.236 m.
Research DNA phenotyping and make a list of pros and cons. What are its possible advantages? What might go wrong? Would it change investigations for the better, or create unfair bias? Think about how this technology would impact forensics, law enforcement, and the public in general. List at least three arguments for and three arguments against it. (1 sentence/phrase each)
Answer:
Pros of DNA phenotyping:
-Phenotypical characteristics can be predicted such as eye color, hair color, skin pigmentation, and many more.
-predict ancestry of an organism
-Use to find criminals
Cons of DNA phenotyping:
-Some phenotypical traits could not be predicted
- Invading privacy
This technology will surely help forensics, law enforcement as it helps track down unknown perpetrators of crime.
3 arguments for it:
- accurate in narrow down researches
- finding biological ancestry
3 arguments against it
It violates the privacy policy of an individual
Racial discrimination is done of public
Equality policies are not followed by it.
3
4
Lucy runs 4 meters to the east, then 5 meters south. What is the magnitude of her displacement?
Show Your Work
Answer:
The displacement is 6.4m
Explanation:
Step one:
given
we are told that Lucy runs 4 meters to the east,
then 5 meters south.
let the distance east be the displacement in the x-direction, and south be the y-direction
Step two:
The resultant of the x and y displacement is the magnitude of the total displacement z
applying Pythagoras theorem we have
z=√x^2+y^2
z=√4^2+5^2
z=√16+25
z=√41
z=6.4m
Ay which labeled points would the skateboarder have most kinetic energy?
Answer: wheres the picture and it could be where they move the fastest
Explanation:
PLEASE HELP IF YOU CAN
Answer:
Less than A
Explanation:
An orbit sweeps equal areas in equal times during all phases of the orbit.
Kepler's Second law
As 40 days is less than 45 days, less area will be swept in 40 days.
TRUE OR FALSE
2 QUESTIONS
please HELP ASAP
1. false
2. true
I hope this helps ^-^
Three point charges, two positive and one negative, each having a magnitude of 20 C are placed at the vertices of an equilateral triangle (30 cm on a side). What is the magnitude of the electrostatic force on the negative charge?
The resultant force on the positive charge is mathematically given as
X=40N
What is the magnitude of the electrostatic force on the negative charge?Question Parameters:
Three-point charges, two positive and one negative, each having a magnitude of 20
Generally, the -ve charge is mathematically given as
\(Q+=\sqrt{x^2+x^2+2x.xcos120}\\\\Q+=\sqrt{2x^2+2x*(1/2)}\)
Q+=X
Therefore
\(x=\frac{Kq1q2}{r2}\\\\x=\frac{9*10^9*20*10^{-6}*20*10^{-6}}{(30*10^-2)^2}\)
X=40N
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The momentum of a car traveling at 20m/s is 24,500 kgm/s. What is the car's mass?
Answer:
1225kg
Explanation:
Given parameters:
Velocity = 20m/s
Momentum = 24500kgm/s
Unknown:
Mass of the car = ?
Solution:
Momentum is the quantity of motion a body possess;
Momentum = mass x velocity
Mass = \(\frac{24500}{20}\) = 1225kg
what is the coefficient of static friction between a mass of 0.75kg and a horizontal surface. if the limiting friction force is 5N and g=10ms
1.47 is the coefficient of static friction between a mass of 0.75kg and a horizontal surface
m=0.75 KG
g=9.8 M/S^2
N=5 N
F=µN
µ=F/N
µ=mg/N
µ=0.75×9.8÷5
µ=1.47
We are physically surrounded with friction. An object moving along a path is resisted by a force known as static friction. Lastly, use an easy example to comprehend it. Think about the activity we perform frequently called walking. We are constantly in contact with the floor while we work. Motion presses against the ground as we move it backward, and we then advance our feet.
One key concept to be aware of in order to minimize friction is the fact that it operates in the opposite direction from relative motion. This phenomena may be useful for reducing the speed of the action until it eventually comes to a stop.
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How much work is done when 425 N of force is applied for 60.0m
Answer:
Workdone = 25500Nm
Explanation:
Given the following data
Force = 425N
Distance = 60m
To find the workdone
Workdone = force *distance
Substituting into the equation, we have
Workdone = 425*60
Workdone = 25500Nm
A pendulum can be formed by tying a small object, like a tennis ball, to a string, and then connecting the other end of the string to the ceiling. Suppose the pendulum is pulled to one side and released at t1. At t^2, the pendulum has swung halfway back to a vertical position. At t^3, the pendulum has swung all the way back to a vertical position. Rank the three instants in time by the magnitude of the centripetal acceleration, from greatest to least. Most of the homework activities will be Context-rich Problems.
Answer:
1- t^3
2- t^2
3- t1
Explanation:
The acceleration produced in a body, while travelling in a circular motion, due to change in direction of motion is called centripetal acceleration. The formula of the centripetal acceleration is as follows:
ac = v²/r
where,
ac = centripetal acceleration
v = speed
r = radius
for a constant radius the centripetal acceleration will be directly proportional to the speed of object. The speed of pendulum will be lowest at t1 due to zero speed initially. Then the speed will increase gradually having greater speed at t^2 and the highest speed and centripetal acceleration at t^3. Therefore, the three instants in tie can be written in following order from greatest centripetal acceleration to lowest:
1- t^3
2- t^2
3- t1
POSSIBLE POINTS: 100
What is the frequency of a wave that has a period of 0.32 seconds? Show all work and use correct units of measure
Answer: \(f=3.125 Hz\)
Explanation:
frequency = 1 / period
\(f=\frac{1}{T}\)
\(f=\frac{1}{0.32}=3.125Hz\)
Therefore, the frequency of the wave is 3.125 Hz.