Explanation:
option D
you compare the data from your experimental results to the prediction being tested
41. Electric and magnetic forces can both make certain objects move. For example, a positively charged particle will repel another positively charged particle. Which of these is the best way for a student to demonstrate the same principle using magnets?
Answer:
Place the north pole of a magnet next to the north pole of another magnet.
Explanation:
Looking at the comments, we can see that the options are:
Place the south pole of a magnet next to the north pole of another magnet.
Place the north pole of a magnet next to the north pole of another magnet.
First, we know that a positively charged particle will repel another positively charged particle.
The same thing happens for magnetic forces (usually we define a magnetic flow from the south pole to the north pole, so we can define the south pole as the "positive" and the north pole as the "negative", but this is only notation and do not really matter), a south pole of a magnet will repel another south pole of a magnet (and the same happens for the north poles)
Then the correct option is:
Place the north pole of a magnet next to the north pole of another magnet.
A hot air balloon weighs 3100kg. The hot air in the balloon creates an upward force of 30,000N. What is the magnitude AND direction of the acceleration of the air balloon?
The magnitude and direction of the acceleration of the air balloon, with a mass of 3100 kg and a force of 30000 N acting on it is 9.68 m/s² upward.
What is acceleration?Acceleration can be defined as the rate of change of velocity.
To calculate the magnitude and direction of the acceleration, we use the formula below.
Formula:
a = F/m............. Equation 1Where:
F = Upward forcem = Mass of the balloona = Acceleration of the ballonFrom the question,
Given:
F = 30000 Nm = 3100 kgSubstitute these values into equation 1
a = 30000/3100a = 9.68 m/s² upward.Hence, the magnitude and the acceleration of the air balloon is 9.68 m/s² upward.
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Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually leaks off of both spheres. When each of the spheres has lost half its initial charge, the magnitude of the electrostatic force will be
Answer:
F' = F/4
Thus, the magnitude of electrostatic force will become one-fourth.
Explanation:
The magnitude of force applied by each charge on one another can be given by Coulomb's Law:
F = kq₁q₂/r² -------------- equation 1
where,
F = Force applied by charges
k = Coulomb's Constant
q₁ = magnitude of first charge
q₂ = magnitude of 2nd charge
r = distance between the charges
Now, in the final state the charges on both spheres are halved. Therefore,
q₁' = q₁/2
q₂' = q₂/2
Hence, the new force will be:
F' = kq₁'q₂'/r²
F' = k(q₁/2)(q₂/2)/r²
F' = (kq₁q₂/r²)(1/4)
using equation 1:
F' = F/4
Thus, the magnitude of electrostatic force will become one-fourth.
The magnitude of the electrostatic force will be F' = F/4
The magnitude of the electrostatic force:Here we used Coulomb's Law:
F = kq₁q₂/r² -------------- equation 1
Here
F = Force applied by charges
k = Coulomb's Constant
q₁ = magnitude of first charge
q₂ = magnitude of 2nd charge
r = distance between the charges
Now
q₁' = q₁/2
q₂' = q₂/2
So, the new force should be
F' = kq₁'q₂'/r²
F' = k(q₁/2)(q₂/2)/r²
F' = (kq₁q₂/r²)(1/4)
So,
F' = F/4
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What is the wavelength of a radar signal that has a frequency of 33 GHz?
Explanation:
For electromagnetic waves c = wavelength * frequency
c = speed of light = 3 x 10^8 m/ s
3 x 10^8 m/s = wl * 33 x 10^9 Hz
wl = .009 m ( or 9 mm)
If a radar signal that has a frequency of 33 GHz, Then the wavelength of the radar signal is 9 mm.
What is wavelength?Wavelength is a fundamental concept in the study of waves, which are disturbances that propagate through space or a medium. It is defined as the distance between two consecutive points in a wave that are in phase, meaning that they have the same position in their respective cycles.
In other words, the wavelength is the spatial period of a wave, which is the distance over which the wave repeats itself. It is commonly represented by the Greek letter lambda (λ) and is measured in meters (m), although it can also be expressed in other units such as nanometers (nm) or micrometers (μm).
Wavelength is a key property of waves, as it determines many of their characteristics and behavior. For example, the wavelength of an electromagnetic wave (such as light or radio waves) determines its color or frequency, and thus its energy and ability to interact with matter. Similarly, the wavelength of a sound wave determines its pitch, and thus its perceived tone and musical quality.
The relationship between wavelength, frequency, and velocity is described by the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. This relationship is important for understanding how waves behave and interact with their environment, such as when they are reflected, refracted, or diffracted.
So, the wavelength is a crucial concept in the study of waves, as it defines their properties and behavior. It is the distance between two consecutive points in a wave that are in phase, and is measured in meters or other units. The relationship between wavelength, frequency, and velocity is described by the wave equation, which is fundamental to the study of waves in various fields such as physics, engineering, and communication.
Here in the Question,
The wavelength of a radar signal can be calculated using the formula:
wavelength = speed of light/frequency
where the speed of light is approximately 3 x 10^8 meters per second.
Plugging in the given frequency of 33 GHz (33 x 10^9 Hz), we get:
wavelength = 3 x 10^8 / (33 x 10^9)
wavelength = 0.009090909... meters
Therefore, By rounding to the nearest millimeter, the wavelength of the radar signal is approximately 9 mm.
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A crate rests on a flatbed truck which is initially traveling at 17.9 m/s on a level road. The driver applies the brakes and the truck is brought to a halt in a distance of 46.1 m. If the deceleration of the truck is constant, what is the minimum coefficient of friction between the crate and the truck that is required to keep the crate from sliding
Answer:
The minimum coefficient of friction required is 0.35.
Explanation:
The minimum coefficient of friction required to keep the crate from sliding can be found as follows:
\( -F_{f} + F = 0 \)
\( -F_{f} + ma = 0 \)
\( \mu mg = ma \)
\( \mu = \frac{a}{g} \)
Where:
μ: is the coefficient of friction
m: is the mass of the crate
g: is the gravity
a: is the acceleration of the truck
The acceleration of the truck can be found by using the following equation:
\( v_{f}^{2} = v_{0}^{2} + 2ad \)
\( a = \frac{v_{f}^{2} - v_{0}^{2}}{2d} \)
Where:
d: is the distance traveled = 46.1 m
\( v_{f}\): is the final speed of the truck = 0 (it stops)
\(v_{0}\): is the initial speed of the truck = 17.9 m/s
\( a = \frac{-(17.9 m/s)^{2}}{2*46.1 m} = -3.48 m/s^{2} \)
If we take the reference system on the crate, the force will be positive since the crate will feel the movement in the positive direction.
\( \mu = \frac{a}{g} \)
\( \mu = \frac{3.48 m/s^{2}}{9.81 m/s^{2}} \)
\( \mu = 0.35 \)
Therefore, the minimum coefficient of friction required is 0.35.
I hope it helps you!
Consider a double-paned window consisting of two panes of glass, each with a thickness of 0.500 cm and an area of 0.760 m2 , separated by a layer of air with a thickness of 1.65 cm . The temperature on one side of the window is 0.00 ∘C; the temperature on the other side is 23.0 ∘C. In addition, note that the thermal conductivity of glass is roughly 36 times greater than that of air. Approximate the heat transfer through this window by ignoring the glass. That is, calculate the heat flow per second through 1.65 cm of air with a temperature difference of 23.0 ∘C . (The exact result for the complete window is 24.4 J/s .)
The approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
To approximate the heat transfer through the air layer in the double-paned window, we can assume that the glass layers have a negligible impact on the heat flow. The heat transfer can be calculated using Fourier's Law of Heat Conduction, which states that the heat flow (Q) is proportional to the temperature difference (ΔT) and inversely proportional to the thickness (L) and thermal conductivity (k) of the material.
First, we need to calculate the effective thermal conductivity of the air layer due to its thickness and the thermal conductivity ratio between air and glass. Let's denote the thermal conductivity of air as k_air and the thermal conductivity of glass as k_glass. Since glass has a thermal conductivity roughly 36 times greater than air, we have k_glass = 36 * k_air.
Next, we calculate the effective thermal conductivity of the air layer as:
k_eff = (k_air * L_air) / (L_air + k_glass)
Substituting the given values, we have:
k_eff = (k_air * 0.0165 m) / (0.0165 m + 0.005 m) = 0.01309 * k_air
Now, we can calculate the heat flow per second through the air layer using the formula:
Q = (k_eff * A * ΔT) / L_air
Substituting the given values, we get:
Q = (0.01309 * k_air * 0.760 m^2 * 23.0 K) / 0.0165 m = 24.4 J/s
Therefore, the approximate heat transfer through 1.65 cm of air with a temperature difference of 23.0 °C is approximately 24.4 J/s.
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The weight of an astronaut plus his space suit on the Moon is only 260 N.how much is the weight on earth assuming the gravity on the moon is 1.67?what isthe mass of the astronout and his space suit on the moon, in kilograms?what isthe mass of the astronout and his space suit on the earth, in kilograms?
The mass of astronaut and spacesuit on moon is,
\(m_{}=\frac{W_m}{g_m}\)Plug in the known values,
\(\begin{gathered} m_{}=\frac{260\text{ N}}{1.67m/s^2}(\frac{1kgm/s^2}{1\text{ N}}) \\ \approx155.7\text{ kg} \end{gathered}\)The weight of astronaut and his space suit on earth is,
\(W=mg\)Substitute the known values,
\(\begin{gathered} W=(155.7kg)(9.8m/s^2_{})(\frac{1\text{ N}}{1kgm/s^2^{}}) \\ =1525.86\text{ N} \end{gathered}\)Thus, the weight of astronaut and his spacesuit on earth is 1525.86 N.
The mass of astronaut as calculated in above explanation on earth and moon is same which is 155.7 kg.
RI, SI
-HALF-LIVES-
DIRECTIONS: Each circle represents the sample of parent and daughter material after
half-life. Shade the fraction of the circle that is pareat material. Write the fraction belom the
circle. The element that you are working with is a hypothetical and is called Brownlim. The
half-life of Brownism is 500 years.
оно
Ө 10
о
роз
о
010
If you need to shade the part of a circle indicative of parent material, these are the guidelines:
Start by drawing a circle that embodies the entire region under discussion.Assess the proportion of the circle illustrating the parent material. Suppose that the parent material comprises 60% of the total surface area; in this instance, you would have to fill in or darken 60% of the circle.How to explain the informationIt should be noted that to complete the shading process, employ techniques such as utilizing solid colors with pencils, markers, cross-hatching, or diagonal lines.
Ensure that you correctly portray the shaded fraction of the circle and provide clear contrasts between the unshaded segment.
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A car of mass 1,325 kg makes a circular turn of radius 16.18 m along a level roadway. The coefficient of friction is 0.826 between the tires and the road.How fast (in m/s) can the car go without skidding off the turn?(Use the approximation that g ≈ 10 m/s^2)Answer: ________ m/s (round to the nearest hundredth)
Given:
The mass of the car is,
\(m=1325\text{ kg}\)The radius of the circular path is,
\(r=16.18\text{ m}\)The coefficient of friction between the tires and the road is,
\(\mu=0.826\)The acceleration due to gravity is,
\(g=10\text{ m/s}^2\)To find:
How fast (in m/s) can the car go without skidding off the turn
Explanation:
The frictional force balances the centripetal force.
The frictional force is,
\(f=\mu mg\)The centripetal force is,
\(F=\frac{mv^2}{r}\)Here, v is the speed of the car without skidding.
We can write,
\(\begin{gathered} \frac{mv^2}{r}=\mu mg \\ v=\sqrt{\mu gr} \end{gathered}\)Substituting the values we get,
\(\begin{gathered} v=\sqrt{0.826\times10\times16.18} \\ v=11.6\text{ m/s} \end{gathered}\)Hence, the required speed is 11.6 m/s.
Is Saturn less dense than water which has a
density of 997 kg/m³? Find out by calculating the density of Saturn in kg/m³. The mass of Saturn is 5.68 x 1026 kg, and its radius is 5.6 x 107 m.
Density of Saturn:
The density of water at STP, which is \(997 kg/m^3\), we can see that Saturn is less dense than water.
To determine whether Saturn is less dense than water, we must compute its density and compare it to the density of water at standard temperature and pressure (STP), which is \(997 kg/m^3\).
Saturn's density can be computed using the following formula:
density equals mass divided by volume
Saturn's mass and volume may be computed given its mass and radius.
The volume of Saturn can be determined using the sphere volume formula:
volume =\((4/3) \pi (r^3)\)
where r is Saturn's radius.
Filling in the blanks:
volume = \((4/3) \pi (5.6 \times 107) m^3\)
8.27 x 1023 \(m^3\)volume
Saturn's mass is given as \(5.68 \times 10^{26} kg.\)
We can now compute Saturn's density:
density equals mass divided by volume
density= \((5.68 x 10^{26 }kg\)) /\((8.27 \times 10^{23 }\)m³) a density of\(687 kg/m^3\)
This is due to the fact that Saturn is mostly made up of hydrogen and helium, which are far less dense than water. In reality, Saturn is the least dense planet in the Solar System, and it would float in a large enough body of water.
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A physicist does 100 joules of work on a simple machine that raise a box of bioks through a heigjt of 0.2metres. if the efficiency of the machine is 60%, how much work is converted to thermal energy?
Answer:
the work converted to thermal energy is 40 J.
Explanation:
Given;
work done by the physicist,w = 100 J
height through which the book is raised, h = 0.2 m
efficiency of machine = 60% = 0.6
The useful work done by the machine is calculated as;
useful work = 0.6 x 100 = 60 J
The wasted energy = 100 J - 60 J
The wasted energy = 40 J
The wasted energy by the machine is possibly converted to thermal energy by the frictional part of the machine.
Therefore, the work converted to thermal energy is 40 J.
A medicine ball has a mass of 8.0 kg and is thrown with a speed of 3.0 m/s. What is its kinetic energy?
O A 12 J
O
B. 24 J
C. 36 J
0 D. 192 J
Answer:
C. 36J
Explanation:
KE = ½ m V²
= ½ × 8 × 3²
= 4 × 9
= 36 J
if i am changing velocity, i must also have _______ and a net _________
if i am changing velocity, i must also have acceleration and a net force
Newton's first law of motionNewton's first law of motion states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.According to Newton's first law of motion, without a force acting on an object, its velocity does not change. The net force acts on an object to change its velocity and cause acceleration.
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How have humans
changed the area and how might this affect recovery after the flood?
Answer:
Explanation:
Loss of lives and property: Immediate impacts of flooding include loss of human life, damage to property, destruction of crops, loss of livestock, non-functioning of infrastructure facilities and deterioration of health condition owing to waterborne diseases. Flash floods, with little or no warning time, cause more deaths than slow-rising riverine floods.
Loss of livelihoods: As communication links and infrastructure such as power plants, roads and bridges are damaged and disrupted, economic activities come to a standstill, resulting in dislocation and the dysfunction of normal life for a period much beyond the duration of the flooding. Similarly, the direct effect on production assets, be it in agriculture or industry, can inhibit regularly activity and lead to loss of livelihoods. The spill over effects of the loss of livelihoods can be felt in business and commercial activities even in adjacent non-flooded areas.
Decreased purchasing and production power: Damage to infrastructure also causes long-term impacts, such as disruptions to clean water and electricity, transport, communication, education and health care. Loss of livelihoods, reduction in purchasing power and loss of land value in the flood plains lead to increased vulnerabilities of ties living in the area. The additional cost of rehabilitation, relocation of people and removal of property from flood-affected areas can divert the capital required for maintaining production.
Mass migration: Frequent flooding, resulting in loss of livelihoods, production and other prolonged economic impacts and types of suffering can trigger mass migration or population displacement. Migration to developed urban areas contributes to the overcrowding in the cities. These migrants swell the ranks of the urban poor and end up living in marginal lands in cities that are prone to floods or other risks. Selective out-migration of the workforce sometimes creates complex social problems.
Psychosocial effects: The huge psycho-social effects on flood victims and their families can traumatize them for long periods of time. The loss of loved ones can generate deep impacts, especially on children. Displacement from one’s home, loss of property and livelihoods and disruption to business and social affairs can cause continuing stress. The stress of overcoming these losses can be overwhelming and produce lasting psychological impacts.
Hindering economic growth and development: The high cost of relief and recovery may adversely impact investment in infrastructure and other development activities in the area and in certain cases may cripple the frail economy of the region. Recurrent flooding in a region may discourage long-term investments by the government and private sector alike. Lack of livelihoods, combined with migration of skilled labour and inflation may have a negative impact on a region’s economic growth. Loss of resources can lead to high costs of goods and services, delaying its development programmes.
Political implications: Ineffective response to relief operations during major flood events may lead to public discontent or loss of trust in the authorities or the state and national governments. Lack of development in flood-prone areas may cause social inequity and even social unrest posing threat to peace and stability in the region.
A piston-cylinder device initially contains 50 L of liquid water at 40°C and 200 kPa. Heat is transferred to the water at constant pressure until the entire liquid is vaporized. (a) What is the mass of the water? (b) What is the final temperature? (c) Determine the total enthalpy change. (d) Show the process on a T-v diagram with respect to saturation lines.
(a) The mass of water is approximately 49.65 kg. (b) The final temperature of the water vapor will be 120°C. (c) The total enthalpy change is approximately 277,956 kJ. (d) Diagram shown below.
(a) To determine the mass of the water, we need to know its density at the given conditions. The density of water changes with temperature and pressure. At 40°C and 200 kPa, the density of water is approximately 993 kg/m³.
Since we have 50 L of water, we need to convert it to cubic meters:
50 L = 0.05 m³
Now we can calculate the mass of water:
Mass = Density * Volume
Mass = 993 kg/m³ * 0.05 m³
Mass ≈ 49.65 kg
Therefore, the mass of water is approximately 49.65 kg.
(b) To find the final temperature, we need to consider the phase change from liquid to vapor. At constant pressure, the temperature will remain constant until all the liquid water has vaporized. This temperature is called the saturation temperature.
We can determine the saturation temperature at 200 kPa using a steam table or other relevant data sources. Let's assume that the saturation temperature is 120°C.
Therefore, the final temperature of the water vapor will be 120°C.
(c) To calculate the total enthalpy change, we need to consider the energy required to heat the water from its initial temperature to the saturation temperature, as well as the energy required for the phase change from liquid to vapor.
The enthalpy change during heating can be calculated using the formula:
ΔH1 = Mass * Specific Heat Capacity * ΔT1
Where:
Mass = 49.65 kg (from part a)
Specific Heat Capacity = specific heat capacity of water at constant pressure = 4.18 kJ/(kg·°C)
ΔT1 = final temperature - initial temperature = 120°C - 40°C = 80°C
ΔH1 = 49.65 kg * 4.18 kJ/(kg·°C) * 80°C
ΔH1 ≈ 165,938 kJ
The enthalpy change during phase change can be calculated using the formula:
ΔH2 = Mass * Latent Heat of Vaporization
Where:
Mass = 49.65 kg (from part a)
Latent Heat of Vaporization = energy required to vaporize 1 kg of water = 2257 kJ/kg
ΔH2 = 49.65 kg * 2257 kJ/kg
ΔH2 ≈ 112,018 kJ
The total enthalpy change is the sum of ΔH1 and ΔH2:
Total Enthalpy Change = ΔH1 + ΔH2
Total Enthalpy Change ≈ 165,938 kJ + 112,018 kJ
Total Enthalpy Change ≈ 277,956 kJ
Therefore, the total enthalpy change is approximately 277,956 kJ.
(d) The process can be shown on a T-v (temperature-volume) diagram with respect to saturation lines. In this case, the process starts at the initial temperature and pressure (40°C, 200 kPa), and moves along the constant pressure line until reaching the saturation temperature (120°C). Then, the process follows the saturation line until the entire liquid is vaporized.
Here is a simplified representation of the process on a T-v diagram:
|
Saturation | |
Line | |
| |
| |
| |
| |
| |
| |
Initial |-----------------------------| Final
| |
| |
| |
| |
| |
|
This diagram is a rough representation and does not accurately reflect specific volume values or scale. It simply illustrates the general process from initial conditions to the final state along the constant pressure and saturation lines.
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What is the acceleration of a 7 kg object if a force of 63 N is applied?
Answer:
9m/s^2
Explanation:
F=ma
a=F/m
a=63/7
a=9m/s^2
How does something(the big bang) come from nothing by nothing i mean the first universe although we don't know where the first universe is but we do know that nothing can't come from something.
The Big Bang theory is the most widely accepted explanation for the origins of the universe, but it does not necessarily imply that the universe emerged from nothing.
It is possible that new discoveries or insights may shed light on this fundamental question in the future. The universe may have arisen from a pre-existing state or through some other natural process that we do not yet understand.
Instead, the theory describes how the universe underwent a rapid expansion from a very dense and hot state. The conditions and laws of physics that applied during the earliest moments of the universe may not necessarily be the same as those we observe today, and there are many unknowns and uncertainties in our understanding of these early stages.
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If the average electrical power usage of an American home is 2 kW, then for how
many homes could electricity needs be met by one 2 MW wind turbine?
1,000 homes when it's spinning.
No homes when it's not spinning.
The number of homes that the wind turbine can carry is 1000 homes
Power is the ratio of work done by an object with respect to time. The unit of power is in Watts (W).
Given the average electrical power usage of an American home to be 2 kW
Since 1kW = 100W
Average power per American home = 2000W = 2 * 10³Watts
Average power of a turbine = 2MW = 2 * 10⁶Watts
Number of homes that the wind turbine can carry = \(\dfrac{2 \times 10^6}{2 \times 10^3}\)
Number of homes that the wind turbine can carry = \(\dfrac{10^6}{10^3}\)
This shows that the number of homes that the wind turbine can carry is 1000 homes
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Which of the following shows the correct order of a life cycle for an animal?
Egg → Adolescent → Infant → Adult → Embryo
Egg → Embryo → Infant → Adolescent → Adult
Embryo → Egg → Infant → Adult → Adolescent
Infant → Adolescent → Adult → Embryo → Egg
Answer:
Egg, Embryo, infant, adolescent and adult
Answer:
egg,embryo,infant,adolesent,adlt /B
Explanation:
Calculate the molar heat capacity at pressure and volume constant ( ) when knowing = = 1.4 and the gas density: 0 = 1.3 /3 .
(a) The molar heat capacity at pressure is 29.1 J/K.mol.
(b) The molar heat capacity at volume is 20.785 J/K.mol.
Molar heat capacity of gas at volumeMolar heat capacity of a gas at constant volume is defined as the quantity of heat required to raise the temperature of one mole of the gas by 1 degree Kelvin when its volume is constant.
Cv = R/(γ - 1)
where;
R is universal gas constant = 8.314 J/K.mol.γ is heat ratio = 1.4Cv = (8.314) / (1.4 - 1)
Cv = 20.785 J/K.mol
Molar heat capacity of gas at pressureMolar heat capacity of a gas at constant volume is defined as the quantity of heat required to raise the temperature of one mole of the gas by 1 degree Kelvin when its pressure is constant.
γ = Cp/Cv
Cp = γCv
Cp = 1.4 x 20.785
Cp = 29.1 J/K.mol
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An inductor has an inductance of 0.053 H. The voltage across this inductor is 48 V and has a frequency of 270 Hz. What is the current in the inductor?
Answer:
3.004A
Explanation:
The voltage across an inductor is expressed as:
\(V=IX_L\\V=I(2\pi fL)\)
Given
f = 270Hz
V = 48V
L =0.053 H
Get the current
270 = I (2*3.14*270*0.053)
270 = 89.8668I
I = 270/89.8668
I = 3.004A
Hence the current in the inductor is 3.004A
2. If your body is dry, the resistance it offers to the flow of electrical current is about____ K ohm.
O A. 200
O B. 50
O C. 100
O D. 125
Answer:
The resistance of human body is around 100,000 ohm.
= 100 Kohm.
option C is correct one.
A 20-kg child is on top of a slide was pushed down by his brother giving him an initial speed of 2 m/s down the slide. what is the child's speed at the bottom of the slide if the slide is 5 m high and 10m long and the force of friction between the child and slide is negligible?
Answer:
please find your answer in the attached picture, along with explanation.
Saturn's mass is 5.68 x 1024 kg and its radius is 6.03 x 107 m. A. Calculate the gravitational field strength at Saturn's surface. (2 marks) B. Calculate the force of gravity at Saturn's surface on an object with a mass of 50 kg.
Hi there!
A.
We can calculate the gravitational field strength using the following equation:
\(g = \frac{Gm_p}{r^2}\)
G = Gravitational Constant
mp = mass of planet (kg)
r = radius (m)
Plug in the given values:
\(g = \frac{(6.67*10^{-11})*(5.68*10^{24})}{(6.03*10^7)^2} = \boxed{0.104 N/kg}\)
B.
The force can be calculated using:
\(F_g = \frac{Gm_1m_2}{r^2}\)
Plug in the values:
\(F_g = \frac{(6.67*10^{-11})(5.68*10^{24})(50)}{(6.04*10^7)^2} = \boxed{5.209N}\)
Answer:
\(\boxed {\boxed {\sf g=0.104 \ N/kg \ and \ F_g= 5.2 \ N }}\)
Explanation:
A. Gravitational Field Strength
The gravitational field strength can be calculated using the following formula:
\(g= \frac{Gm}{r^2}\)
G, or the universal gravitational constant, is 6.67 × 10⁻¹¹ N*m²/kg². The mass of Saturn is 5.68 × 10²⁴ kilograms. The radius of Saturn is 6.03×10⁷ meters.
Substitute these values into the formula.
\(g= \frac{ (6.67 \times 10^{-11} \ N*m^2/kg^2) (5.68 \times 10^{24} \ kg)}{(6.03 \times 10^{7} \ m )^2}\)
Multiply the numerator and square the denominator.
\(g= \frac{ 3.78856 \times 10^{14} \ N *m^2/kg }{3.63609 \times 10^{15} \ m^2}\)
Divide.
\(g= 0.1041932405 \ N/kg\)
The original measurements of mass and radius have 3 significant figures, so our answer must have the same. For the number we found, that is the thousandth place. The 1 in the ten-thousandth place tells us to leave the 4 in the thousandth place.
\(\boxed {g \approx 0.104 \ N/kg}\)
B. Force of Gravity
The force of gravity is calculated using the following formula:
\(F_g= mg\)
The mass of the object is 50 kilograms. We just calculated the gravitational field strength, which is 0.104 Newtons per kilogram. Substitute these values into the formula.
\(F_g= (50 \ kg)(0.104 \ N/kg)\)
Multiply. The units of kilograms cancel.
\(\boxed {F_g=5.20 \ N}\)
1.The
across each resistor is
the same in a series circuit.
) voltage
current
Answer:
The answer is Current.
Explanation:
In a series circuit, every component will have the same current.
In parallel circuit, all voltage of component remains the same.
Answer:
In a series circuit, each resistor has the same charge flowing through it.
Explanation:
If you have resistors arranged in a chain, the current only has one path to take which results in an equal charge in each resistor.
Describe briefly with used of practical knowledge the effect of the voltage stores across and current
flows through the resistors when connected in:
i. Series
ii. Parallel
(circuit diagram is necessary)
Answer:
Answer in explanation
Explanation:
The path of flow of circuit is called electric circuit. In an electric circuit, resistances are connected in two different ways, which are:
1- Series Combination of Resistances
2- Parallel Combination of Resistances
Series combination of resistances
In series combination resistors are connected end to end, and there is only one path for the flow of current.
Characteristics Of Series Circuit:
1. In series circuit there is only one path for the flow of current.
2. Same amount of current flows through each resistor.
I = I₁ = I₂ = I₃ = In
3. Total voltage of the battery is equal to the sum of voltages across each resistor.
V = V₁ +V₂ + V₃ + ... + Vn
4. In series combination the combined resistance of the resistors can be obtained by adding the value of each resistor.
R = R₁ + R₂ + R₃ + … + Rn
Parallel combination of resistances
Resistances are set to be connected in parallel, when each of them is connected directly from the terminals of electric source.
Characteristics Of Series Circuit:
1. There are more than one path for the flow of current.
2. The value of potential difference remains constant on each resistor.
V = V₁ = V₂ = V₃ = Vn
3. Total current is equal to the sum of current passing through each resistor.
I = I₁ + I₂ + I₃ +...+ In
4. Reciprocal of equivalent resistance is equal to the sum of reciprocals of resistances connected in parallel.
1/R = 1/R₁ + 1/R₂ + 1/R₃ + … + 1/Rn
The circuit diagrams are in attachment.
What does this image reveal about gravityon the moon compared to Earth?
ANSWER:
The Moon's gravity is less than Earth's.
STEP-BY-STEP EXPLANATION:
When you jump, you fall back to the ground. Apples or leaves also fall: we are all attracted to the Earth. It is the terrestrial attraction due to the force of gravity.
The force of gravity also exists on the Moon. But since the Moon is smaller than the Earth, the attraction felt on the Moon is smaller than the Earth's attraction.
As the gravity is less, you can do things such as the one shown in the image.
As the force of attraction is less, the weight is less on the Moon, which can cause things that would be impossible on Earth.
a unit load of not less than _volt-amperes per square foot be included for storage spaces in other than dwelling units
A unit load of not less than 1/4 volt-amperes per square foot is included for storage spaces other than dwelling units.
What is unit load?The unit load can be described as the size of an assemblage into which a number of items are combined for ease of storage and handling, for example, a pallet load expresses a unit load that can be moved easily with a pallet jack, or a container load expresses a unit for shipping purposes.
A unit load can pack tightly into a warehouse rack, truck, or intermodal container, yet can be broken apart at a distribution point, generally a distribution center, or wholesaler, for sale to consumers or for use.
A unit load can be defined as the basic storage and transport unit arranged on modular support or in packaging to ensure efficient handling.
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Luck walked to a store that is 250m away and it took him 50secs while Layne walked to the mall that is 1000m away and took her 200s to do. What do they have in common?
A. Average speed
B. Acceleration
C. Displacement
D.mass
Answer:
Average speed
Explanation:
250/50=5
1000/20=5
write down the value of
920 kg in g
Answer:
920000
Explanation:
Each kg contains 1,000 grams