The sum of two point charges is -15µC. They attract each other with a force of 9 x 10-2 N when kept 5m apart. Find their charges.
According to the question the two charges are -7.5 µC and -7.5 µC.
What is charges?Charges are fees or payments for services or goods. Charges can be one-time payments, recurring payments, or fees associated with using a product or service. Charges can be for products, services, or activities. Examples of charges include fees for using a credit card, fees for using a bank account, fees for renting a car, fees for using a mobile phone plan, fees for using a subscription service, fees for using a streaming service, and fees for using a gym membership.
Let the two charges be x and ( -15 - x ) µC.
According to Coulomb's law,
F = (k × x × ( -15 - x ))/r2
Where k is the Coulomb's constant,
k = 9 × 109 N × m2/C2
Given, F = 9 × 10-2 N
r = 5 m
Substituting these values in the equation,
9 × 10-2 = (9 × 109 × x × ( -15 - x ))/252
⇒ x2+ 15x - 4.5 × 10-4 = 0
Solving this equation,
x = -7.5 µC and ( -15 - x ) = -7.5 µC
Therefore, the two charges are -7.5 µC and -7.5 µC.
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Two balls are rolled off a tabletop that is 0.85 m above the floor. Ball A has a
horizontal velocity of 3.5 m/s and that of ball B is 5.3 m/s.
A) How long does it take each ball to reach the floor after it rolls off the edge?
B) How far does each ball travel horizontally before hitting the floor?
Hi there!
A)
Since the ball's velocity is initially only in the HORIZONTAL direction, there is NO vertical component of its velocity. Therefore, we can treat this like a free-fall scenario. (Dropped from rest).
We can rearrange the following kinematic equation to make solving for the time taken for the balls to hit the ground easier.
\(d_y = v_yt + \frac{1}{2}at^2\)
dy = vertical displacement (height of table, 0.85 m)
vy = initial vertical velocity (0 m/s, only horizontal)
a = acceleration (due to gravity in this situation, 9.8 m/s²)
t = time (? sec)
Simplify and rearrange the variables for 't'.
\(d_y = 0(t) + \frac{1}{2}at^2\\\\d_y = \frac{1}{2}at^2\\\\t^2 = \frac{2d_y}{a}\\\\t = \sqrt{\frac{2d_y}{a}}}\)
Plug in the given values.
\(t = \sqrt{\frac{2(0.85)}{9.8}} = \boxed{0.4165 s}\)
B)
Now, remember that the ball's acceleration in the vertical direction due to gravity does NOT impact its horizontal velocity. Its vertical and horizontal velocities are COMPLETELY independent. Thus, we can simply use the time solved for above and each ball's respective velocities in the following kinematic equation:
\(d_x = v_xt\)
dₓ= horizontal displacement (? m)
vₓ = horizontal component of velocity (3.5 and 5.3 m/s for A and B respectively)
t = time (0.4165 s)
Solve for the distance traveled by each ball:
Ball A:
\(d_x = 3.5 * 0.4165 = \boxed{1.458 m}\)
Ball B:
\(d_x = 5.3* 0.4165 = \boxed{2.207 m}\)
Which letter on the map represents the
Southern Ocean
Answer:
B cus is in the south but that pfp tho
50 POINTS ANSWEr CORRECT Explain how all the other elements heavier than iron are formed after the death of the star?
Answer:
Elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
Explanation:
Most of the elements heavier than iron are formed during the death of stars through neutron capture processes, specifically the R-Process and the S-Process. The R-Process is a rapid capture of neutrons, while the S-Process is a slow capture of neutrons. These processes either directly form elements or indirectly form them through decay processes [^1]. Elements heavier than iron are primarily made in environments with free-neutron densities in excess of a million particles per cubic centimeter [^2]. In the extreme energetic conditions of supernovae, atoms are bombarded by a very large number of neutrons, and rapid successive neutron capture, followed by beta decay, produces the heavier atoms [^5].
So, elements heavier than iron are formed by neutron capture processes during stellar death and supernovae.
[^1
When the sun provides energy for photosynthesis, an interaction with the __________ takes place.
find velcoity over the time interval from 0 to 1 second
From graph:
* The final value of position at time 1 second is 20 m.
* The initial value of position at time 0 second is 20 m.
Solution:
The velocity in terms of the position is,
\(v=\frac{change\text{ in position}}{time\text{ interval}}\)For the time interval 0 to 1 second,
\(\begin{gathered} v=\frac{20-20}{1-0} \\ v=\frac{0}{1} \\ v=0ms^{-1} \end{gathered}\)Thus, the velocity over the time interval from 0 to 1 second is zero meter per second
What does the phrase “constant velocity” indicate?
a. zero distance
b. zero acceleration
c. constant acceleration
d. deceleration
Find the gravitational field on the surface of an alien planet that has an estimated mass of 8.5 x 1026 kg and radius of 3.5 x 104 km. Show all work
The gravitational field on the surface of the planet is approximately 9.81 m/s^2
What is gravitational field?
Gravitational field can be defined as the force field that exists in the space around every mass or group of masses.
The gravitational field on the surface of a planet can be calculated using Newton's law of gravitation:
G * m_planet / r^2
Where:
G = 6.67 x 10^-11 Nm^2/kg^2 is the gravitational constant
m_planet = 8.5 x 10^26 kg is the mass of the planet
r = 3.5 x 10^4 km is the radius of the planet (converted to meters)
First, let's convert the radius to meters:
3.5 x 10^4 km = 3.5 x 10^4 x 10^3 m = 3.5 x 10^7 m
Next, let's plug in the values and simplify the expression:
g = G * m_planet / r^2
g = (6.67 x 10^-11 Nm^2/kg^2) * (8.5 x 10^26 kg) / (3.5 x 10^7 m)^2
g = (6.67 x 10^-11 Nm^2/kg^2) * (8.5 x 10^26 kg) / (1.225 x 10^15 m^2)
g = 9.81 m/s^2
Therefore, The gravitational field on the surface of the planet is approximately 9.81 m/s^2
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An airplane takes off at an acceleration of 2m/s2. If it continues accelerating at that rate what will the airplane change in velocity be, in m/s, 60 seconds after take off
The airplane change in velocity be 120 m/sec
What is acceleration?The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.
The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.
acceleration = velocity/time
Velocity = acceleration * time
Velocity = 60*2
Velocity = 120 m/sec
The airplane change in velocity be 120 m/sec
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a car is moving at 12 m/s and has a mass of 600 kg what is the. kinetic energy of the car?
Answer:
43200 J
Explanation:
(1/2(mass)) (speed)^2
The higher the frequency the __ the energy.
a) neither, stays the same
b) higher
c) lower phu
Answer:
The higher the energy (B)
Explanation:
The relationship between Energy and Frequency is E = hf , where E is energy and f is frequency. From the formula you can see that E and f are directly related. Therefore, the higher the frequency, the higher the energy.
How to model parallel circuit?
A parallel circuit can be modelled by connecting the components parallel.
A parallel circuit is a form of electrical circuit in which the components are linked in parallel to one another, each having a separate channel for current flow and being directly connected to the power source. The circuit must first be schematically represented, with the power supply and each component linked in parallel. Next, the total resistance the total current in the circuit by using Ohm's Law must be calculated.
Additionally, it is necessary to confirm that the total current entering the circuit equals the total current leaving the circuit. In a parallel circuit, the total current passing through all of the components equals the current entering the circuit. The voltage drop between each component must then be once more computed using Ohm's Law.
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A car drove 200 km east on an interstate highway, then was finally able to make an
exit and drove for another 70 km to the north before reaching their destination.
What was the direction of car's resultant displacement?
Answer:
70.66°Explanation:
To find the direction of the displacement vector, we have to solve for the ratio of both displacements, and furthermore the inverse tangent of the ratio.
Given data
200km east represents the x axis
70 km north represents y axis
the direction of the resultant is given as
∅= tan-1x/y
∅=tan-1 200/70
∅= tan-120/7
∅= tan-12.85
∅= 70.66°
hence the direction of the resultant is 70.66°
A diver jumps from a 3.0 m board with an initial upward velocity of 5.5 m/s. What is the time the diver was in the air?
The answer is that the time the diver was in the air is 1.13 seconds.
To determine the time the diver was in the air, we can use the kinematic equation:
Δy = viΔt + 1/2at²,
where Δy is the displacement, vi is the initial velocity, a is the acceleration due to gravity (g), and t is the time.The initial velocity, vi, is given as 5.5 m/s, and since the diver jumps upwards, the displacement, Δy, is equal to the height of the board, which is 3.0 m. The acceleration due to gravity, a, is -9.8 m/s² (negative because it acts downwards).Substituting the known values into the equation:3.0
m = (5.5 m/s)t + 1/2(-9.8 m/s²)t²
Simplifying, we get:
4.9t² + 5.5t - 3.0 = 0
We can solve for t using the quadratic formula:
t = (-5.5 ± √(5.5² - 4(4.9)(-3.0))) / (2(4.9))= (-5.5 ± 1.59) / 9.8= -0.47 s or 1.13 s
Since time cannot be negative, the time the diver was in the air is 1.13 seconds.
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A star has a surface area of 6.89x1018 m2. How much power does it radiate if it has a surface temperature of 7,701 K? Submit your answer in exponential form.
Answer:
1.37 * 10^ 27 watts
Explanation:
The power radiated by a body with surface temperature T and surface area A is given by
\(P=\sigma AT^4\)where σ = 5.67 x 10^-8 watt / m^2 K^4.
Now in our case
A = 6.89 x 10^18 m^2 and T = 7701.
Therefore,
\(P=5.67\times10^{-8}\times6.89\cdot10^{18}\times7701^4\)which we evaluate to get
\(\boxed{P=1.37\times10^{27}W.}\)Hence, the power radiated by the star is 1.37 x 10^27 watts.
Kofi sees his physics professor approaching on the sidewalk that runs by the second-floor dorm room. He gets a water balloon, and when the professor is 2.0 seconds from being directly underneath Kofi, 11m above the sidewalk, Kofi drops the balloon. Does the balloon hit the professor? Demonstrate why or why not?
The balloon hits the ground right before the professor gets there.
The balloon picks up speed due to gravity and we can calculate the time taken for it to fall to the ground as follows:
Gravity (g) = 9.81 m/s²
Height or distance (s) = 11 meters
Initial Speed (u) = 0 m/s
using equation of motion
\(s = ut + \frac{1}{2}at^{2}\)
where s = height
u = initial speed
a = acceleration due to gravity
t = time taken
then using above values we get
11 = 0 x 2 + 0.5 x (9.8 x t²)
t = 1.4975
So we can see that the balloon takes 1.4975 seconds to fall to the ground, and since the professor takes 2 seconds to get to that place.
The balloon hits the ground right before the professor gets there.
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A train station bell gives off a fundamental tone of 500 Hz as the train approaches the station at a speed of 20 m/s. If the speed of sound in air is 334 m/s, what will be the apparent frequency of the bell to an observer riding the train
Answer: 529.9 Hz
Explanation:
Here we need to use the Doppler equation, so we have:
f' = f*(v + v0)/(v - vs)
Here, f is the frequency = 500Hz
v is the velocity of the wave, = 334m/s
v0 is the velocity of the observer = 20m/s
vs is the velocity of the source = 0m/s
Then we have:
f' = 500Hz*(334m/s + 20m/s)/(334m/s) = 529.9 Hz
Pete roller skates with a constant speed of 8 miles per hour. How long will he take to travel a distance of 12 miles?
Answer:
8 divided by 12 is 1.6
Explanation:
. .......
If a 9000kg water flows in a minute through a pipe of cross sectional area 0.3m², what is the speed of water in the pipe?
Answer:
5 m/s
Explanation:
We are given that 9000 kg of water flows through the pipe in 1 minute. Mass flow rate = mass/time
So, mass flow rate = 9000 kg / 1 minute = 150 kg/s
We know the cross sectional area of the pipe is 0.3 m2. From continuity equation, mass flow rate = density * area * velocity
So, 150 = 1000 * 0.3 * v (Density of water is approximately 1000 kg/m3)
Solving for v (velocity):
v = 150/(1000*0.3) = 5 m/s
Therefore, the speed of water in the pipe is 5 m/s.
What is scintillator
Answer:
Scintillators are materials that transform high-energy radiation like X-rays or gamma-rays into visible light or near-visible light. They're commonly utilized in medical diagnostics, high-energy physics, and geophysical exploration as detectors.
Explanation:
i hope this helps
Transverse wave is an example of mechanical wave which requires a medium Which statement BEST describes the movement of transverse waves with reference to the direction of its travel? to propagate. a. The individual particles mo ve in a circle. b. Th e individual particles move in an ellipse. c. The individual particles move parallel to the direction of ravel. d. The individual particles move perpendicular to the direction of travel.
Answer:
d) the individual particles move perpendicular to the direction of travel
A 0.5kg wooden block is placed on top of a 1.0kgwooden block. The coefficient static friction between the two blocks is 0.35. The coefficient of kinetic friction between the lower block and the level table is 0.20 wht is the maximum horizontal force that can be applied to the lower block
A block of 0.5 kg is placed on top of another wooden block which weighs 1.0 kg. The coefficient of static friction between the two blocks is 0.35, whereas the coefficient of kinetic friction between the lower block and the level table is 0.20.
To calculate the maximum horizontal force that can be applied to the lower block, we need to determine the limiting frictional force between the two blocks.
Since the upper block is not moving, the force of static friction is acting on it. We can calculate this force as follows:
`F_static = friction coefficient * normal force`
where, normal force = weight of upper block = 0.5 kg * 9.81 m/s^2 = 4.905 N
`F_static = 0.35 * 4.905 = 1.718 N`
Therefore, the static frictional force acting on the upper block is 1.718 N.
Now, we need to find the maximum force that can be applied to the lower block before it starts moving. This force is equal to the force of static friction acting on the lower block.
Since the upper block is not moving, the force of static friction acting on the lower block is equal to the force of static friction acting on the upper block.
`F_static(lower block) = F_static(upper block) = 1.718 N`
This means that the maximum horizontal force that can be applied to the lower block is 1.718 N.
However, if the applied force exceeds this value, the lower block will start moving and the force of kinetic friction will be acting on it, which is equal to:
`F_kinetic = friction coefficient * normal force`
`F_kinetic = 0.20 * 4.905 = 0.981 N`
Hence, if the applied force exceeds 1.718 N, the lower block will start moving and the force of kinetic friction will act on it, which is 0.981 N.
Therefore, the maximum horizontal force that can be applied to the lower block is 1.718 N.
Answer:
Explanation:
To determine the maximum horizontal force that can be applied to the lower block without causing the blocks to move, we need to calculate the maximum static friction force between the two blocks. This force is given by:
F_friction = coefficient of static friction * normal force
where the normal force is the force perpendicular to the surface of contact between the blocks. Since the blocks are resting on a level table, the normal force acting on the lower block is equal to the weight of both blocks, which is:
N = (m1 + m2) * g
where m1 is the mass of the lower block, m2 is the mass of the upper block, and g is the acceleration due to gravity (9.81 m/s^2).
Plugging in the given values, we have:
N = (1.0 kg + 0.5 kg) * 9.81 m/s^2 = 14.715 N
The maximum static friction force is then:
F_friction = 0.35 * 14.715 N = 5.15025 N
Therefore, the maximum horizontal force that can be applied to the lower block without causing the blocks to move is 5.15025 N. If a greater force is applied, the blocks will start to move and the kinetic friction force will take effect, which is given by:
F_kinetic = coefficient of kinetic friction * normal force
where the coefficient of kinetic friction is 0.20 in this case.
Move 13 m west and then 8 m east?HELP!!!
Answer:
Displacement will be 5m west
Distance would be 21m No direction
an atomic spectrum contains a line with a wavelength centered at 402 nm . careful measurements show the line is really spread out between 401 and 403 nm . estimate the lifetime of the excited state that produced this line.
The lifetime of the excited state that produced this line is 416.66sec if a wavelength ranges from 401nm and 403nm.
For solving this problem we use Rydberg equation whose formula is given by
v=[(1 / λ₁) -1 / λ₂)]×(h×c)
where v is the frequency of the photon,
λ is the wavelength of the photon
h is plank's constant
and c is the speed of light in vacuum
Since we are given λ₁ ,λ₂ as 401nm and 403nm respectively.Also we know that value of h is 6.6ˣ10⁻³⁴(J-sec)/m and c=3ˣ10⁸m/sec
So,putting all values on above formula,we get
=>v=[(1/401)-(1/403)]ˣ(6.6ˣ10⁻³⁴) ˣ (3ˣ10⁸)
=>v=[(403-401) ˣ (6.6ˣ10⁻³⁴) ˣ (3ˣ10⁸)] / (401 ˣ 403)ˣ(1/10⁻²⁷)
=>v= [[2 ˣ (6.6ˣ10⁻³⁴) ˣ (3ˣ10⁸)] ₓ(1/10⁻²⁷)] ˣ (1 / 401 ˣ 403)
=>v=(39.6 ˣ 10) / 161603
=>v = 396/161603
=>v = 0.0024/sec
We know time period is reverse of frequency, so lifetime span is
=>t=1/v
=>t=1/ (0.0024/sec)
=>t=416.66sec
Hence, lifetime of the excited state is 416.66sec.
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Select the correct answer.
Which statement is true for a series circuit?
• A.
The voltage is the same
across all resistors in the circuit.
O B. As more resistors are added, the current will increase.
O C. The average of the voltage drops will be the total voltage in the circuit.
O D.
The current is the same across all resistors in the circuit.
O E.
The equivalent resistance will be less than the
resistance of each individual resistor.
Reset
Next
Answer:
D. The current is the same across all resistors in the circuit.
Explanation:
In a series circuit, all circuit elements are connected so that there is exactly one current path. That path goes through each of the elements of the circuit.
The current is the same through all resistors in a series circuit.
If you push against the wall the wall will push back what is the name of the force that pushes back?
tension force
Оа
Ob
Ос
normal force
applied force
friction force
Od
Answer:
applied force
Explanation:
I think that's right
A hypothesis is
A) An experiment
B) an untestable statement
C) an education guess
D) A procedure
An electric field is applied to a solution containing bromide ions. As a result, the ions move through the solution with an average drift speed of 3.0 × 10−7 m/s. The mobility of bromide ions in solution is 8.1 × 10−8 (m/s)/(N/C). What is the magnitude of the net electric field inside the solution?
Answer:
The magnitude of the net electric field inside the solution is 3.704 N/C
Explanation:
Given;
average drift speed, v = 3 x 10⁻⁷ m/s
mobility of the bromide ions, μ = 8.1 x 10⁻⁸ (m/s)(N/C)
The magnitude of the net electric field inside the solution is given by the equation below;
\(E = \frac{v}{\mu}\)
where;
E is the magnitude of the net electric field inside the solution
Substitute the given values and solve for E
\(E = \frac{v}{\mu}\\\\E = \frac{3*10^{-7}}{8.1*10^{-8}}\\\\ E = 3.704 \ N/C\)
Therefore, the magnitude of the net electric field inside the solution is 3.704 N/C
Describe how electromagnetic waves are formed and travel through space.
Answer:
Electromagnetic waves are created by a charged particle that generates an electric field. The electric field creates a magnetic field. As the charged particle moves, the electric field and magnetic field keep changing, which causes the wave to move.
Explanation:
I just answered the question and this is the sample response
Electromagnetic waves are propagated as electric and magnetic fields at right angles with each other. Electromagnetic waves can travel through space.
What are electromagnetic waves?The electromagnetic waves are composed of electric and magnetic fields which are inclined at right angles to each other. We must note that these waves do not require a medium of propagation as they travel through space.
Hence, electromagnetic waves are propagated as electric and magnetic fields at right angles with each other.
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Which statement accurately describes what happens when ice melts in terms of energy? The ice absorbs energy which causes in water molecules to have to have more kinetic and potential energy, changing their configuration from solid to a linguist. The ice releases energy which causes chemical bonds to break Changing the ice to matter The ice absorbs energy which causes chemical bonds to break changing ice to water. The ice realeases energy which causes the water molecules to have less kinetic and potential energy changing their configuration from solid to linguistic to liguid
Answer:
The first one
Explanation:
But I'm not sure though