What happens to the force between two charges when each charge is doubled and the distance between them is 1/4 its original
magnitude?
Answer:
F' = 64 F
Explanation:
The electric force between charges is given by :
[tex]F=\dfrac{kq_1q_2}{r^2}[/tex]
Where
q₁ and q₂ are charges
r is the distance between charges
When each charge is doubled and the distance between them is 1/4 its original magnitude such that,
q₁' = 2q₁, q₂' = 2q₂ and r' = (r/4)
New force,
[tex]F'=\dfrac{kq_1'q_2'}{r'^2}[/tex]
Apply new values,
[tex]F'=\dfrac{k\times 2q_1\times 2q_2}{(\dfrac{r}{4})^2}\\\\=\dfrac{k\times 4q_1q_2}{\dfrac{r^2}{16}}\\\\=64\times \dfrac{kq_1q_2}{r^2}\\\\=64F[/tex]
So, the new force becomes 64 times the initial force.
Observe: Click Reset. Turn on Show velocity vector and Show velocity components. Set vinitial to 50 m/s and set θ to 45.0 degrees. Click Play. Focus on the blue and red arrows that represent the vertical and horizontal components of the golf ball’s velocity. As the ball flies through the air, what do you notice about the blue (vertical) arrow?
Answer:
v_y = v_{oy} - g t
where the upward direction is positive, so the arrow represents this speed (blue) must decrease, reach zero and grow in a negative direction as time progresses
Explanation:
In this exercise you are asked to observe the change in velocity in a projectile launch.
If we assume that the friction force is small, the velocity in the x-axis must be constant
vₓ = v₀ₓ
Therefore, the arrow (red) that represents this movement must not change in magnitude.
In the direction of the y axis, the acceleration of gravity is acting, so the magnitude of the velocity in this axis changes
v_y = v_{oy} - g t
where the upward direction is positive, so the arrow represents this speed (blue) must decrease, reach zero and grow in a negative direction as time progresses
6. Calculate the pressure exerted on an elevator floor which has an
area of 6 m², if 20 people whose combined force is 1500 N are
standing on it.
Answer:
Hope this helps you out if you could please leave 5 stars or brainiest thank you
If a person perceives that he has some control over his environment, he most likely will handle stress:
a.poorly
b.by retreating from the stress
c.the same as everyone else
d.better than if he doesn't feel in control
What should food workers do to prevent chemical hazards from contaminating food?
A. Wash their hands after taking out the garbage
B. Wear a hair net when working for food preparation areas
C. Store cleaning solutions and bottles away from food storage areas
D. Clean and San at is equipment and utensils for after hours of continuous use
A 0.15-m straight wire moves with a constant velocity of 7.0 m/s perpendicularly
through a magnetic field. If the magnetic field has a strength of 0.40 T, what is the
electromotive force?
Answer: force is 0.42 N
Explanation: F = l·v·B
An arrow is shot at an angle of 35° and a velocity of 50 m/s. How long does it take to return to its original starting height?
Answer:
4.02 s
Explanation:
From the question given above, the following data were obtained:
Angle of projection (θ) = 35°
Initial velocity (u) = 50 m/s
Acceleration due to gravity (g) = 10 m/s²
Time of flight (T) =?
The time of flight of the arrow can be obtained as follow:
T = 2uSineθ / g
T = 2 × 35 × Sine 35 / 10
T = 70 × 0.5736 / 10
T = 7 × 0.5736
T = 4.02 s
Therefore, the time taken for the arrow to return is 4.02 s
A new piece of exercise equipment has been added to your gym, and you try it out. To use this machine, you lie horizontal on a mat with your feet against a platform perpendicular to the mat. The platform is held by a stiff spring that is compressed when the platform moves. Your workout invovles compressing the spring by pushing on the platform with your feet. After testing compressions of the equipment, you determine that you must do 85.0 J of work to compress the spring a distance 0.170 m from its uncompressed length.What magnitude of force must you apply to hold the platform stationary at the final distance given above
Answer:
500 N
Explanation:
Since the work done on the spring W = Fx where F = force applied and x = compression length = 0.170 m (since the spring will be compressed its full length when the force is applied)
Since W = 85.0 J and we need to find F,
F = W/x
= 85.0 J/0.170 m
= 500 N
So, the magnitude of force must you apply to hold the platform stationary at the final distance given above is 500 N.
Which of the following is true about the diameter of a circle?
A. The diameter is twice the length of the radius.
B. The diameter is twice the length of the circumference.
C. The diameter is half the length of the circumference.
D. The diameter is half the length of the radius.
Answer:
option A
Explanation:
the diameter is twice the length of the radius
hope it helps
A circus stuntman holds himself straight out by his arms from a vertical pole. If the stuntman's center of gravity is located 0.75 m away from the pole and he weights 650 N, how much force do is arms have to apply if they exert their force upwards at 0.10 m away from the pole? [4875 N]
Answer: 4875 N
Explanation:
Given
Stuntman weight is [tex]W=650\ N[/tex]
His center of gravity is located at [tex]x=0.75\ m[/tex] away from pole
If he applies an upwards force at 0.10 m away from the pole
Suppose F is the applied force
To remain vertical, the torque of weight must be canceled by the vertical force
[tex]\Rightarrow 650\times 0.75-F\times 0.10=0\\\\\Rightarrow 650\times 0.75=F\times 0.10\\\\\Rightarrow F=\dfrac{487.5}{0.10}=4875\ N[/tex]
How does a physicist define work? a force applied for a certain length of time a force applied over a distance power applied for a certain length of time power applied to something over a distance
Answer:
Work, in physics, measure of energy transfer that occurs when an object is moved over a distance by an external force at least part of which is applied in the direction of the displacement. ... To express this concept mathematically, the work W is equal to the force f times the distance d, or W = fd.
Explanation:
Definition of work in physics
A measure of energy expended in moving an object; most commonly, force times distance is work.A seller on the internet claims to have pieces of a wooden statue that are 2000 years old. You are asked to date the wood to see whether the age is correct. The 20g sample you receive has an activity of 15 counts per second. For living wood. 20g would have an activity of 16 counts per second. Estimate the age of the wood and women’s on weather the sellers claims are true
A disk 7.90 cm in radius rotates at a constant rate of 1 190 rev/min about its central axis. (a) Determine its angular speed. 124.58 Correct: Your answer is correct. rad/s (b) Determine the tangential speed at a point 2.98 cm from its center. 3.71 Correct: Your answer is correct. m/s (c) Determine the radial acceleration of a point on the rim. magnitude 1.23 Correct: Your answer is correct. km/s2 direction toward the center Correct: Your answer is correct. (d) Determine the total distance a point on the rim moves in 2.06 s. 20.28 Correct: Your answer is correct. m
Answer:
[tex]124.62\ \text{rad/s}[/tex]
[tex]3.71\ \text{m/s}[/tex]
[tex]1.23\ \text{km/s}^2[/tex]
[tex]20.28\ \text{m}[/tex]
Explanation:
r = Radius of disk = 7.9 cm
N = Number of revolution per minute = 1190 rev/minute
Angular speed is given by
[tex]\omega=N\dfrac{2\pi}{60}\\\Rightarrow \omega=1190\times \dfrac{2\pi}{60}\\\Rightarrow \omega=124.62\ \text{rad/s}[/tex]
The angular speed is [tex]124.62\ \text{rad/s}[/tex]
r = 2.98 cm
Tangential speed is given by
[tex]v=r\omega\\\Rightarrow v=2.98\times 10^{-2}\times 124.62\\\Rightarrow v=3.71\ \text{m/s}[/tex]
Tangential speed at the required point is [tex]3.71\ \text{m/s}[/tex]
Radial acceleration is given by
[tex]a=\omega^2r\\\Rightarrow a=124.62^2\times 7.9\times 10^{-2}\\\Rightarrow a=1226.88\approx 1.23\ \text{km/s}^2[/tex]
The radial acceleration is [tex]1.23\ \text{km/s}^2[/tex].
t = Time = 2.06 s
Distance traveled is given by
[tex]d=vt\\\Rightarrow d=\omega rt\\\Rightarrow d=124.62\times 7.9\times 10^{-2}\times 2.06\\\Rightarrow d=20.28\ \text{m}[/tex]
The total distance a point on the rim moves in the required time is [tex]20.28\ \text{m}[/tex].
A car drives 30 m north in 1.5 seconds and drives 60 east in 2 seconds. What is the average velocity
Answer:
19.2 m/s
Explanation:
From the question,
Velocity = displacement/time = d/t
V = d/t.................................. Equation 1
Average velocity = Total displacement/ total time
Total dispalcement = √(30²+60²) = √4500 = 67.08 m
Total time = 1.5+2 = 3.5 s.
Substitute these value into equation 1
V = 67.08/3.5
V = 19.2 m/s.
Hence the average velocity is 19.2 m/s
The parameter given for the car during transit is 30 m north in 1.5 seconds and drives 60 east in 2 seconds, we want to find the average velocity.
average velocity is 19.2 m/s
Solution
The expression for Average velocity is
Average velocity = Total Displacement/ Total time Taken...............Eqn 1
Total Displacement = √(30²+60²) = √4500 = 67.08 m
Total time = 1.5+2 = 3.5 s.
From the Equation 1
Average Velocity = 67.08/3.5
V = 19.2 m/s.
Therefore, the average velocity is 19.2 m/s
Learn more about average velocity :
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If a force of 3000 N can move a crate at an acceleration of 9.2 m/s2, what is the mass of the object?
Answer:
326 kg
Explanation:
m=f/a
3000/9.2=326 kg
Read the article Watering Livestock with Renewable Energy.
Why does it make sense for ranchers to use renewable energy to pump water?
Animals do not need water during the summer.
In most of the United States, there is not enough wind to run pumping systems.
Solar energy is strongest in the winter, when water is needed for animals and crops.
Wind and solar energy help save money and reduce air pollution.
Answer:
D. Wind and solar energy help save money and reduce air pollution.
Explanation:
Answer:
d
Explanation:
edge 2021
The diagram shows a skydiver at different points of her jump. At what point would her
acceleration be greatest?
A.
B.
C.
D.
please help me out on this...
Only dogs
Only reptiles
Both cats and dogs
Both amphibians and reptiles
When solar energy is converted to thermal energy, how is the thermal energy used? Check all that apply.
to provide air conditioning
to cool refrigerators
to heat spaces in buildings
to heat water
Answer:
to heat spaces in buildingss
Explanation:
4) A drag racer starts her car from rest and accelerates at 10.0 m/s² for a distance of 400 m (1/4 mile). (a) How long did it take the race car to travel this distance? (b) What is the speed of the race car at the end of the run?
Answer:
A) s=1/2at^2
t=√(2s/a)=√(2x400)/10.0)=9.0s
B) v=at
v=10.0x9=90m/s
How many joules of heat energy are needed to raise the temperature of 10.0 g (0.0100 kg) of aluminum from 22 K to 55 K, if the specific heat of aluminum is 897 J/kg * K. Explain your answer
Answer:
296.01 J
Explanation:
From the question,
Q = cm(t₂-t₁)....................... Equation 1
Where Q = quantity of heat, c = specific heat capacity of aluminium, m = mass of aluminium, t₁ = Initial temperature, t₂ = Final temperature
Given: c = 897 J/kg.K, m = 0.01 kg, t₁ = 22 K, t₂ = 55 k
Substitute these values into equation 1
Q = 897×0.01×(55-22)
Q = 897×0.01×33
Q = 296.01 J
Hence 296.01 Joules of heat is required.
Which are parts of the middle ear? Check all that apply.
a) anvil
b) ear canal
c) eardrum
d) hammer
e) stirrup
f) auricle
Answer:
middle ear has three bones! the hammer, anvil, stirrup, and ear drum
Explanation:
The public is not yet able to purchase cars powered by hydrogen fuel cells because engineers have to determine how
the cars perform based on which scenario?
O on racetracks
O in real-world conditions
O in flooded environments
O on closed courses
Next
Submit
Save and Exit
return
Answer:
B on EDGE
Explanation:
A hot iron ball of mass 200 g is cooled to a temperature of 22°C from 100°C. How much heat was
lost in the process?
(Ciron = 0.444 J/g°C)
Q =mcAT
Answer:
Q= -6900 J
Explanation:
use the formula Q=mC(T_2 - T_1) and sub in givens
Q=mC(T_2 - T_1)
Q= (200 g)(0.444 J/g°C)(22-100)
Q= -6900 J
The negative sign means heat is lost, which agrees with the decrease in temperature
Un automóvil viaja a la velocidad de 10 m/s. Se acelera Durante 12s y aumenta su velocidad hasta 70 m/s ¿Que aceleración experimenta el automóvil?
Answer:
Aceleracion = 5 m/s²
Explanation:
Dados los siguientes datos;
Velocidad inicial = 10 m/s
Velocidad final = 70 m/s
Tiempo, t = 12 segundos
Para encontrar la aceleración;
Aceleración se puede definir como la tasa de cambio de la velocidad de un objeto con respecto al tiempo.
Esto simplemente significa que la aceleración viene dada por la resta de la velocidad inicial de la velocidad final a lo largo del tiempo.
Por lo tanto, si restamos la velocidad inicial de la velocidad final y la dividimos por el tiempo, podemos calcular la aceleración de un objeto. Matemáticamente, la aceleración viene dada por la fórmula;
[tex] Aceleracion = \frac{final \; velocidad - inicial \; velocidad}{tiempo}[/tex]
Sustituyendo en la fórmula, tenemos;
[tex] Aceleracion = \frac{70 - 10}{12}[/tex]
[tex] Aceleracion = \frac{60}{12}[/tex]
Aceleracion = 5 m/s²
You have two rocks made of the same material that are at the same
temperature. The first rock has three times the mass of the second rock. How
does the thermal energy of the two rocks compare?
A. The second rock has three times the thermal energy of the first rock
B. The first rick has six times the thermal energy of the second rock
C. The second rock has one-third as much thermal energy as the first rock
D. The rocks have the same amount of thermal energy
Answer:
the rocks have the same amount of thermal energy
For a system mass of 600g and a hanging weight of 0.50 N, determine the acceleration of the system
Answer:
A=0.80
Explanation:
a=2×100/time^2. a=2×100/15.86^2. = a=0.80
The acceleration of the system will be 0.833 meters per second square.
What is newton's second law?The behavior of things is predicted by Newton's first rule of motion when all external forces are equal. The first law, sometimes known as the law of inertia, asserts that if an entity's energies are balanced, its acceleration will be zero meters per second.
When all forces are balanced, an object is said to be in equilibrium and won't accelerate. Newton postulated that an item will only accelerate in the presence of a net or uneven force. An object will accelerate if there is an imbalanced force present, altering its direction, speed, or both.
Let 'm' be the mass of the object in kilogram and 'a' is the acceleration of the object in meters per second square. Then the force on the system is calculated as,
F = ma
For a system mass of 600g and a hanging weight of 0.50 N. Convert the mass of the object into kilogram. Then we have
m = 600 / 1000
m = 0.6 kg
Then the acceleration of the system will be calculated as,
0.50 = 0.6 × a
a = 0.833 meters per second square
The acceleration of the system will be 0.833 meters per second square.
More about newton's second law link is given below.
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26. How many covalent bonds does water have?
a.1 b.2 c.3 d.4 e.5
Answer:
(b) 2
Explanation:
Please help me, I beg you
Answer:
40g
Explanation:
Solubility of Copper sulfate at 90°=60g
Solubility of potassium bromide at 90°=100g
100g-60g=40g
What determines the
carrying capacity in an
ecosystem?
A. The number of different species in
the ecosystem
B. Limiting factors
C. Only biotic factors
D. Only abiotic factors
Answer:
Your answer is B. Limiting factors
Explanation:
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