The net electric force acting on a negative test charge at the origin due to a positive charge q and a negative charge -q can be expressed as (-6/πε₀) * j, using ij unit vector notation.
The net electric force acting on a test charge can be calculated by considering the individual electric forces exerted by the charges at their respective positions.
The electric force between two charges is given by Coulomb's Law, which states that the magnitude of the force is proportional to the product of the charges and inversely proportional to the square of the distance between them. The force is also directed along the line connecting the charges.
In this scenario, the positive charge q exerts an electric force on the negative test charge at the origin, while the negative charge -q also exerts an electric force on the test charge. Since the charges have opposite signs, the forces they exert on the test charge will have opposite directions.
The force exerted by the positive charge q can be calculated using Coulomb's Law, considering the distance between the charges. Similarly, the force exerted by the negative charge -q can be calculated using the same formula.
By considering the magnitudes and directions of these forces, and summing them as vectors, the net electric force acting on the negative test charge can be determined. The resulting force can be expressed as (-6/πε₀) * j, where j represents the unit vector in the y-direction. The fraction -6/π arises from the specific values and positions of the charges, while ε₀ represents the permittivity of free space.
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Any tips on how to get a good grasp of physics and chemistry?
Answer:
Summary notes really help and make sure to revise on past papers.Good luck
Explanation:
Give me a like if this helped
two freight cars each with a mass of 3.0 * 10^5 kg collide and stick together. One was initially moving at 2.2 m/s, and the other was at rest. What is their final speed? Define the system as the two cars.
Answer:
1.1 m/s
Explanation:
We know in an inelastic collision, applying the principle of conservation of momentum :-
m₁v₁ + m₂v₂ = (m₁ + m₂)vm₁ = mass of object 1 = 3 x 10⁵ kgm₂ = mass of object 2 = 3 x 10⁵ kgv₁ = initial speed of object 1 = 2.2 m/sv₂ = initial speed of object 2 = 0 m/s (rest)v = final combined speed = ?Substituting the values
3 x 10⁵(2.2) + 3 x 10⁵(0) = (3 x 10⁵ + 3 x 10⁵)v6.6 x 10⁵ = 6 x 10⁵ x vv = 6.6/6v = 1.1 m/s
A forensics investigator discharged an assault rifle-replica such that the bullet fired at an angle of 30 (degrees) off the horizontal with an initial velocity
of 28
m/s northwest. What is the maximum height the bullet will reach?
O 14 m/s
10 m
O 30 km
O 0.4351 seconds
Answer:
Initial y-component of speed
Vy = 28 * sin 30 = 14 m/sec vertically
1/2 m Vy^2 = 2 m g h conservation of energy of y-component
h = Vy^2 / (2 * g) = 14^2 / (2 * 9.8) = 10 m
a 3.1-kg object falls vertically downward in a viscous medium at a constant speed of 2.5 m/s. how much work is done by the force the viscous medium exerts on the object as it falls 85 cm?
The work is done by the force the viscous medium exerts on the object as it falls 85 cm is -26.35 joules.
The mass of the object is m = 3.1kg
The speed of fall is v = 2.5 m/s
The depth of fall is d = 85cm
Now here given that the velocity is constant, then the work energy is zero.
So, work done by the potential energy of the object and that of the viscous liquid we have
W = Wv + Wp
Where Wv is work done by viscous liquid and
Wv is the work done by the object
Wp = mgd
So
0 = Wv + mgd
Wv = -mgd
substituting values
Wv = -3.1x10x85
Wv = 26.35 joules
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The device which is used to measure potential difference between two points in a circuit is called a/an ____.
A. ammeter
B. voltmeter
C. ohmmeter
D. wattmeter
The device which is used to measure potential difference between two points in a circuit is called a voltmeter.
What is a voltmeter?A voltmeter is a type of electrical instrument that is used to measure electrical potential difference between two points in a circuit. It is a type of electromechanical measuring instrument. It typically measures voltage in volts and it is represented by the symbol "V" in a circuit diagram. It is often used in parallel with the component that is being tested. The device which is used to measure potential difference between two points in a circuit is called a voltmeter.
Overall, a voltmeter is an essential tool for any electronics or electrical engineer. It enables engineers and technicians to measure and monitor voltage levels in circuits and devices, and it provides important information for designing and troubleshooting electrical systems.
In conclusion, the device that is used to measure potential difference between two points in a circuit is called a voltmeter. It is a type of electromechanical measuring instrument that measures voltage in volts and it is represented by the symbol "V" in a circuit diagram. Voltmeters are essential tools for measuring and monitoring voltage levels in circuits and devices, and they are used extensively in electronics and electrical engineering.
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If the speed of the boat is 11mph in calm water and the rate of the current is 1mph, how long does the trip last?
The time the trip would take based on the information provided can be expressed as distance/10 mph.
How long does the trip last?
The time of the trip in the boat depends on two factors, the first one is the real speed of the boat and the second one is the distance covered.
Time: Distance/speed
Time: distance/10mph
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All systems move from high pressure to low pressure. (T or F)
Answer:
pun
Explanation:
What information is given on the X-axis of the graph below?
answers:
there is no x axis
years from 1920-2005
co2 concentration
the name of the observatory
The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).
What is a graph?A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.
A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.
On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.
Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.
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how can i eat a pizza with my toes
Answer:
You grab (grasp or seize suddenly and roughly.) the pizza with your toes
Explanation:
Answer:
First, you have to wash your toes to get all the germs off.
Next, make sure you have a good grip on the pizza.
Then, make sure you are in a comfortable position.
Next, wrap your leg around your neck so the pizza can reach.
Finally, you can enjoy your pizza.
Hope this helped!
please help with number 5
11. A man lifts a weight of 300 N through a
vertical height of 2 m in 6 seconds. What
power does he develop?
Explanation:
Weight=force=300N
height=2m
time=6seconds
power=?
now,
power (p)=f×h÷t
power=300×2÷6
power=100w
therefore,A man develops 100 watt power in 6 seconds.
Which of the following best explains work?
a. Work occurs when a force acts on an object
b. Work occurs when a force acts to hold an object in place
c. Work occurs when a force acts on an object and causes a displacement of that object
d. Work occurs when energy is exerted
Answer:
c. Work occurs when a force acts on an object and causes a displacement of that object
Explanation:
because W=Fd
work= force * displacement
why do hurricanes spin as they are moving
Hurricanes spin as they move due to a phenomenon known as the Coriolis effect, which is caused by the Earth's rotation. The Coriolis effect is a result of the fact that different parts of the Earth rotate at different speeds.
Specifically, the Earth rotates more rapidly at the equator than at the poles.
As air moves from high-pressure areas to low-pressure areas, it is deflected by the Coriolis effect. In the case of a hurricane, the low-pressure area at the center of the storm causes air to flow inward from all directions. As the air moves toward the center of the storm, it is deflected to the right (in the Northern Hemisphere) due to the Coriolis effect. This deflection causes the air to start rotating counterclockwise around the center of the storm.
The rotation of the hurricane becomes more pronounced as the storm gains strength and size, with the wind speed increasing as the storm's pressure drops. The direction of rotation is determined by the hemisphere the storm is in, with hurricanes in the Northern Hemisphere rotating counterclockwise and hurricanes in the Southern Hemisphere rotating clockwise. The rotation of a hurricane is also affected by other factors such as the shape of the coastline and the temperature of the water, but the Coriolis effect is the main cause of the storm's rotation.
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choose the correct definition and two examples of kinetic energy. kinetic energy is the energy an object has due to its motion. two examples are a car driving down the highway or the movements of the molecules of liquid in a cup of hot coffee.
The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.
What do you mean by Kinetic Energy?It is defined as the work needed to accelerate an object from rest to its current velocity. Kinetic energy is proportional to the mass of the object and the square of its velocity and can be calculated using the formula KE = 0.5 × m × v², where m is the mass of the object and v is its velocity.
Kinetic energy is a scalar quantity and has units of joules (J) in the SI system. It is an important concept in physics and has a wide range of applications, from understanding the motion of objects in classical mechanics to describing the behavior of particles in thermodynamics and quantum mechanics.
Therefore, The correct definition of kinetic energy is that kinetic energy is the energy an object has due to its motion.
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how do animal weather rocks
Answer:
Burrowing animals can cause weathering. By digging for food or making space to live in the animal may break apart rock. The growing roots of a tree can also break apart rock.
4 properties of light
What is horizontal motion
Horizontal motion is defined as a projectile motion in a horizontal plane depending upon the force acting on it. For a short distance, the vertical and horizontal components of a projectile are perpendicular and independent of each other.
Answer:
A projectile moves along its path with a constant horizontal velocity
shape of houses built in areas with hot climate and materials used
Answer:
Cement and sand will do
Explanation:
because without it you can't build
Answer:
Shape of houses built in areas with hot climate
Compact house forms, rather than sprawling, multi-wing designs work best in hot locales. Home designs with shaded porches, wrap around porches or plans with courtyards that create a shaded open area within the building are ideal.
How do you build a house in hot climates?
Place courtyards centrally to enhance cooling and ventilation. ...
Choose the right materials. ...
Use waterbodies and landscaping effectively. ...
Shade terraces and outdoor spaces. ...
Create sheltered, barrier-free spaces for air circulation. ...
Extend roofs to protect the walls and windows from direct heat.
Materials used building in areas with hot climate
The most common materials used for building walls in the warm-humid regions are stones, and earth-based bricks.
Concrete, bricks, and tile have a high thermal mass due to the large amount of heat energy needed to change their temperatures. This makes concrete an ideal building material for climates that are hot during the day but cooler at night.
is a person believes that dreams have hidden meaning how or she would agree with Freud's ideas about _ content?
A. manifest
B. latent
C. hidden
D. lucid
Answer:B ez
Explanation:
what are some hack that I can use to heal up my eyes?
Answer:
All 7 Dragonballs
Explanation:
the dragonball Summon shenron which will then grant you a wish
Two identical charged pith balls are brought together to touch each other. They are then
allowed to move freely. The charge on pith ball A is –30 nC and on pith ball B is – 5 nC.
What is the charge on each after they separate?
Answer:
-17.5 nC
Explanation:
charge A = -30 nC
charge B = -5 nC
After adding them it would be the average of the two charges because of the getting same voltage difference. so
c = (-30+(-5)) / 2 nC
c= -17.5 nC
answer is -17.5 nC
7. what might the results look like if you left the cells at room temperature after lysing and adding onpg rather than placing them back in the water bath? why?
If the cells are left at room temperature after lysing and adding ONPG, the reaction between ONPG and the remaining active beta-galactosidase in the lysed cells may proceed too slowly or not at all, leading to inaccurate results.
The reaction between ONPG and beta-galactosidase is an exothermic reaction and is temperature dependent, meaning that it proceeds more rapidly at higher temperatures.
Placing the lysed cells back in the water bath after lysing and adding ONPG ensures that the reaction is taking place at a consistent temperature, allowing for accurate and reproducible results.
Leaving the cells at room temperature may result in variations in reaction rate, leading to inconsistencies in the data. To ensure accurate results, it is important to control the temperature during the reaction.
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a rock undergoing free fall on planet x is thrown upwards at 5.0 m/s. it undergoes constant acceleration vertically downward, and when it lands it is traveling downward at 15.0 m/s. if the rock lands 20.0 m below where it was thrown upward, what is the acceleration due to gravity on the planet?
The acceleration due to gravity on the planet is approximately 9.8 m/s^2.
The acceleration due to gravity on the planet can be determined using the following equation:
a = (vf^2 - vi^2) / (2 * d)
where:
a = acceleration due to gravity
vf = final velocity (15.0 m/s)
vi = initial velocity (5.0 m/s)
d = displacement (20.0 m)
Plugging in the values, we get:
a = (15.0 m/s^2)^2 - (5.0 m/s)^2) / (2 * 20.0 m)
a = approximately 9.8 m/s^2
Therefore, the acceleration due to gravity on the planet is approximately 9.8 m/s^2.
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Mr. Tolman believes that our universe is expanding, but with all of the gravitational force from the celestial bodies of space, the universe will begin to contract. He believes in the _____.
A) oscillating universe theory
B) inflation theory
C) steady state theory
D) big bang theory
Please can you answer the physics questions attached
The heat required for the change of state of the materials in the question are;
4. a. 894000 J, b. 423000 J, c. 8040 J
5. 0.096 kg
6. 321 kJ/kg
7. a. Copper; 287625 J, Silver; 108307 J, Gold; 67795 J
b. 0.0598 kg
8 a. 1302.46 °C
b. 11157 J
What is specific latent heat?Specific latent heat is the amount of heat energy required to change the state of a substance while the temperature of the substance remain the same.
4. The energy needed to evaporate;
a. 3 kg of petrol (octane) = 3 kg × 298000 J/kg = 894000 J
b. 500 g of ethanol = 0.5 kg × 846000 J/kg = 423000 J
c. 20 g of vineger (acetic acid) = 0.02 kg × 402000 J/kg = 8040 J
5. The mass of the liquid ethanol that can be evaporated by supplying 80 kJ of energy = (80 kJ)/(846 kJ/kg) ≈ 0.096 kg
6. The specific latent heat of melting of aluminium = (6420 kJ)/(20 kg) = 321 kJ/kg
7. a. The energy needed to heat each sample to its melting point:
Copper: m·c·ΔT = (0.5 kg)×(390 J/kg°C)×(1495°C - 20°C) = 287625 J
Silver: m·c·ΔT = (0.5 kg)×(230 J/kg°C)×(961.8°C - 20°C) = 108307 J
Gold: m·c·ΔT = (0.5 kg)×(130 J/kg°C)×(1063°C - 20°C) = 67795 J
7. b. The amount of copper that melts:
Energy needed to heat copper to its melting point: Q1 = m·c·ΔT = (0.5 kg)×(390 J/kg·°C)×(1495°C - 20°C) = 287625 J
Energy remaining for melting; Q2 = (300 kJ) - Q1 = (300000 J) - (287625 J) = 12375 J
Mass of copper that melts; m = Q2/Lf = (12375 J)/(207000 J/kg) ≈ 0.0598 kg
Extra challenge:
8a. Final temperature of the liquid silver;
Energy needed to heat silver to its melting point; Q1 = m·c·ΔT = (0.5 kg)×(230 J/kg·°C)×(961.8°C - 20°C) = 108307 J
Energy needed to melt silver: Q2 = m·L·f = (0.5 kg)×(88000 J/kg) = 44000 J
Energy remaining for heating liquid silver: Q3 = (200 kJ) - Q1 - Q2 = 200000 J - 108307 J - 44000 J = 47693 J
Final temperature of the liquid silver: ΔT = Q3/(m·c) = 47693/(0.5×280) ≈ 340.66
\(T_f\) ≈ 961.8 + 340.66 = 1302.46
The final temperature is about 1302.46 °C
8 b. Energy needed to obtain liquid gold at a temperature of 1200°C
Energy needed to heat gold to its melting point; Q1 = m·c·ΔT = (0.05 × 130 × (1063 - 20) = 6779.5
Energy needed = 6779.5 J
Energy needed to melt gold; Q2 = m·Lf = (0.05 kg)×(67000 J/kg) = 3350 J
Energy needed to heat liquid gold from its melting point to final temperature; Q3 = m·c·ΔT = (0.05 kg) × (150 J/kg·°C) × (1200°C - 1063°C) = 1027.5 J
The sum of the energy required, Q = Q1 + Q2 + Q3 = 6779.5 + 3350 + 1027.5 = 11157
The total energy required is 11157 J
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calculate the distance travelled by a car moving with 40 m/s velocity in 2 hours
Answer:
14,400m
Explanation:
The formula for calculating speed is S=D/T.
S=speed( in meters per second- m/s)
D=distance(in meters)
T=time( in seconds)
For our case:
S=40m/s
D=?
Time=2 hours=60min x 60 sec=3600seconds
Now make D the subject.
D=S x T
D=4m/s x 3600s=14,400m
Therefore our answer is
14 400 m or 14.4 km
true or false
the faster an object moves, the greater its potential energy?
Answer:
true
Explanation:
Because the more mass you have, the faster the speed and the greater its potential energy, which is a storage energy.
For the CP-1 flying at sea level (density = 0. 002377 slug/ft^3) with V. = 136. 4 mi/h (200ft/s), compute a. Lift coefficient b. Drag coefficient c. (L/D) ratio d. Find Thrust Required, TR 3. Estimate the maximum velocity for CP-1 at sea level. 4. Estimate the maximum R/C for CP-1 at sea level
The maximum R/C for CP-1 at sea level would be 184np.
Given data of CP -1
wing spam (b) = 35.8 ft. = 10.912m
wing area (s) = 174ft² = 16.1651m²
Gross weight W = 2950lb = 13127.5 N
Sfc = 0.45 lb /hp-hr
Engine = piston engine of 230hp
Cdo = 0.025
e = 0.8 , η propeller = 0.8
ρses = 0.002377 slug/ft³
V(∞) = 136.4 m/hr
As a/p is cruising L= W , T=D
L=W = 1/2 ρ(∞) V(∞)²SCl = W
Cl= 2W/ρSV² = 0.387
C(D) = C(do) + ηCl²
k= 1/2πARc
C(D) = 0.025 +(1/π ×7.37×0.8)×0.397²
C(D) = 0.0319
L/D = C(l) = 0.357/0.0319 = 11.2
(4) L = W
T(R)= [W/(L/D)] = 11721.1N = 263.5lb
Max. velocity at sea level
For a propellor engine , max velocity, is determined by the intersecting point of Pav and Pr curve.
Pav = bnP ×ηp = 230×0.8 = 184np
Thus, the the maximum R/C for CP-1 at sea level is 184np.
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Describe in your own words a situation where chemical energy is transformed to potential energy.
Answer:
The potential energy stored in molecules can be converted to chemical energy, which can ultimately be converted to kinetic energy, enabling an organism to move. Eventually, most of energy used by organisms is transformed into heat and dissipated.
Explanation:
which of the following is not an example transverse wave?
1) X-rays
2) Ocean waves
3) Microwaves
4) Ripples on a pond
5) Hitting a slinky at one end
Answer:
2, Ocean waves
Explanation:
Transverse waves look more like ocean waves, and have the same movement.