Answer:
c and d
Explanation:
I got your back bro ;)
Answer:
C and D
Explanation:
Which statements accurately describe sound waves? Check all that apply.
Sound waves are transverse waves.
Sound waves require a medium to transfer energy.
Sound is heard when a vibration strikes the ear.
Sound waves can only travel through liquids and gases.
When particles of a medium interact, part of the wave’s energy is lost.
A wave’s energy can be distinguished from other movements of the medium.
The statements that accurately describe sound waves are:
2,3,4,6
1. Sound waves require a medium to transfer energy. Unlike electromagnetic waves, such as light, sound waves cannot propagate through a vacuum. They need a material medium, such as air, water, or solids, to transfer their energy.
2. Sound is heard when a vibration strikes the ear. Sound is a mechanical wave that is produced by vibrations or oscillations of objects. When these vibrations reach our ears, they are detected by the auditory system, which allows us to perceive sound.
3. When particles of a medium interact, part of the wave's energy is lost. Sound waves experience energy losses due to factors like friction, absorption, and scattering. As the wave propagates through a medium, some of its energy is converted into other forms, such as heat, resulting in a decrease in the wave's intensity.
4. A wave's energy can be distinguished from other movements of the medium. Sound waves carry energy in the form of vibrations or oscillations of particles within a medium. These movements are distinct from other random or uncorrelated motions of the medium's particles that do not contribute to the propagation of the sound wave.
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What is the speed of an electron traveling 32 cm in 2 ns?
Answer:
Speed, \(v=1.6\times 10^8\ m/s\)
Explanation:
Given that,
Distance covered by the electron, d = 32 cm = 0.32 m
Time, t = 2 ns
We need to find the speed of an electron. Speed is equal to distance covered divided by time. So,
\(v=\dfrac{0.32}{2\times 10^{-9}}\\\\v=1.6\times 10^8\ m/s\)
So, the speed of the electron is \(1.6\times 10^8\ m/s\).
In a DC generator, the generated emf is directly proportional to the
In a DC generator, the generated electromotive force (emf) is directly proportional to the rotational speed of the generator's armature and the strength of the magnetic field within the generator.
This relationship is described by the equation for the generated emf in a DC generator:
Emf = Φ * N * A * Z / 60
Where:
Emf is the generated electromotive force (in volts),
Φ is the magnetic flux density (in Weber/meter^2\(meter^2\) or Tesla),
N is the number of turns in the armature winding,
A is the effective area of the armature coil (in square meters),
Z is the total number of armature conductors, and
60 is a constant representing the conversion from seconds to minutes.
From this equation, we can see that the generated emf is directly proportional to the magnetic flux density (Φ) and the product of the number of turns (N), effective area (A), and the total number of armature conductors (Z). This means that increasing any of these factors will result in a higher generated emf.
The magnetic flux density (Φ) can be increased by using stronger permanent magnets or increasing the strength of the field windings in the generator.
The number of turns (N) and the effective area (A) are design parameters and can be optimized for a specific generator. Increasing the number of turns or the effective area will result in a higher generated emf.
Similarly, the total number of armature conductors (Z) can be increased to enhance the generated emf.
By controlling and optimizing these factors, the generated emf in a DC generator can be increased, resulting in higher electrical output. However, it is important to note that there are practical limits to these factors based on the design and construction of the generator.
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A copper (Young's modulus 1.1 x 1011 N/m2) cylinder and a brass (Young's modulus 9.0 x 1010 N/m2) cylinder are stacked end to end, as in the drawing. Each cylinder has a radius of 0.32 cm. A compressive force of F = 5000 N is applied to the right end of the brass cylinder. Find the amount by which the length of the stack decreases.
The length of the stack shortens by 4.88 x 10-6 m.
What is Young's brass modification?Brass and steel have Young's modules of 1.0 and 2 respectively, 1010N/m2. Under the same force, a brass wire of the same length and a steel wire with radii of RB and RS, respectively, are both expanded by 1 mm.
The change in length of each cylinder due to the compressive force can be found using the formula:
ΔL = (F * L) / (A * E)
First, let's find the cross-sectional area of each cylinder:
A = π * r² = π * (0.32 cm)² = 0.3217 cm²
L = Lcopper + Lbrass
L = 2 * Lcopper
Ftotal = Fbrass + (-Fcopper) = Fbrass - Fbrass = 0
Since the total force on the stack is zero, the amount by which the length of the stack decreases is the same as the amount by which the length of the brass cylinder decreases:
ΔL = (Fbrass * Lbrass) / (Abrass * Ebrass)
ΔL = (5000 N * Lbrass) / (0.3217 cm²* 9.0 x 10¹⁰ N/m²)
ΔL = (1.554 x 10⁻⁴ m/N) * Lbrass
V = π * r² * Lbrass
Lbrass = V / (π * r²)
Lbrass = 1 cm / (π * (0.32 cm)^2)
Lbrass = 3.14 cm
Finally, we can substitute this value into the equation for ΔL:
ΔL = (1.554 x 10⁻⁴ m/N) * 3.14 cm
ΔL = 4.88 x 10⁻⁶ m
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When the balloon sticks to the wall (assuming it sticks to the wall). It is
because the balloon is negatively charged and the wall carries an extra
positive charge.
1.false
2.true
A 0.120 kg, 90.0-cm-long uniform bar has a small 0.055 kg mass glued to its left end and a small 0.110 kg mass glued to the other end. The two small masses can each be treated as point masses. You want to balance this system horizontally on a fulcrum placed just under its center of gravity.
How far from the left end should the fulcrum be placed?
The fulcrum should be placed 0.120 m from the left end of the bar to balance the system horizontally.
What is balance?
To balance the system horizontally, the center of gravity (CG) of the bar and the attached masses should be placed directly above the fulcrum. We can find the location of the CG using the following formula:
CG = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3)
where m1, m2, and m3 are the masses of the bar, the 0.055 kg mass, and the 0.110 kg mass, respectively, and x1, x2, and x3 are their respective distances from the left end of the bar.
We know that the total mass of the system is:
m = m1 + m2 + m3 = 0.120 kg + 0.055 kg + 0.110 kg = 0.285 kg
Let x be the distance from the left end of the bar to the fulcrum. Then, the distance from the fulcrum to the center of gravity is (L/2 - x), where L is the total length of the bar (90.0 cm). Therefore, we want to find x such that:
CG = (L/2 - x)
Substituting the expressions for the CG and the masses, we get:
(m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) = (L/2 - x)
Simplifying and rearranging, we get:
x = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) - L/2
We can choose any two points on the bar as reference points, and take their distances as x1 and x3. Let's choose the left end of the bar as x1 = 0, and the right end of the bar as x3 = L = 90.0 cm = 0.900 m. Then, we can find x2, the distance from the left end to the 0.110 kg mass, as:
x2 = L - x1 - x3 = 0.900 m - 0 m - 0.090 m = 0.810 m
Substituting the masses and distances, we get:
x = (m1x1 + m2x2 + m3x3) / (m1 + m2 + m3) - L/2
x = (0 kg × 0 m + 0.055 kg × 0.810 m + 0.110 kg × 0.900 m) / (0.120 kg + 0.055 kg + 0.110 kg) - 0.450 m
x = 0.570 m - 0.450 m
x = 0.120 m
Therefore, the fulcrum should be placed 0.120 m from the left end of the bar to balance the system horizontally.
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when the tides are especially weak it is called a _____ tide
Answer:
When the tides are especially weak, it is called a NEAP tide.
Explanation:
Hope this helps :)
Answer:
Neap
Explanation:
Answered!
A 1200 N force acts on an object, resulting in an acceleration of 8.0 m/s2. What is the mass of the object?
Answer:
The answer is 150 kgExplanation:
The mass of the object can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{1200}{8} \\ \)
We have the final answer as
150 kgHope this helps you
If an object can make 10 revolutions in two minutes what’s it’s period
Answer:
12\(s^{-1}\)
Explanation:
Period= how long for each revolution
Since we have 10 revolutions in 120 seconds.
120/10=12s
URGENT HELP PLS
(a) Find the frequency ratio between the two frequencies f1 = 320 Hz and
½2 = 576 Hz.
S) If we go down from / by an interval of a fourth, find the frequency ratio filfi.
(c) Find the frequency of f3.
The frequency of f3 is approximately 716 Hz.
What is frequency?The frequency of a repeated event is its number of instances per unit of time. Hertz (Hz), which stands for the number of cycles per second, is a popular unit of measurement.
a. Given two frequencies, f1 and f2, the frequency ratio is as follows:
frequency ratio= \(\frac{f2}{f1}\)
Inputting the values provided yields:
frequency ratio = \(\frac{576}{320Hz}\) =1.8.
As a result, the difference in frequency between f1 = 320 Hz and f2 = 576 Hz is 1.8.
b. Since there are 12 half-steps in an octave and a fourth is a distance of 5 half-steps, going down a fourth requires dividing the frequency by \(2^{(4/12)}\). Hence, once a fourth is subtracted, the frequency ratio between f and f1 is:
frequency ratio= \(\frac{f}{ (f1 /f2 ) }\)= \(\frac{f}{ (f1 / 1.3348) }\)
By dividing the numerator and denominator by 1.3348, we may make this more straightforward:
frequency ratio= (f × 1.33348)/f1
As a result, (f × 1.3348) / f1 is the frequency ratio between f and f1 after descending a fourth.
c. (c) To find the frequency of f3, we need to know the interval between f1 and f3. Let's assume that f3 is a fifth above f2. The frequency ratio for a fifth is given by: \(2^{(7/12)}\) = 1.49831
Therefore, the frequency of f3 is:
f3 = f1 × (\(2^{(7/12)}\)) × (\(2^{(7/12)}\)) = 320 Hz × 1.49831 ×1.49831 = 716 Hz
Therefore, the frequency of f3 is approximately 716 Hz.
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Suppose 2kg of glycerine have a temperature of 30°C. Heat is supplied to a steady rate of 100W. The temperature after 35 minutes is 75°C.
Calculate the specific heat capacity of glycerine.
Answer:
210000.................
The specific heat capacity of glycerine is 2333.3 J/(kg·K).
We can use the formula for heat (Q) absorbed by a substance:
Q = mcΔT
Where Q is the heat absorbed, m is the mass of the substance, c is the specific heat capacity of the substance, and ΔT is the change in temperature.
We know the mass of glycerine (m = 2 kg), the time for which heat is supplied (t = 35 minutes = 2100 seconds), the rate of heat supply (P = 100 W), the initial temperature (T1 = 30°C = 303 K), and the final temperature (T2 = 75°C = 348 K).
First, we need to calculate the total heat absorbed by the glycerine:
Q = Pt
Q = 100 W × 2100 s
Q = 210000 J
Next, we can calculate the change in temperature:
ΔT = T2 - T1
ΔT = 348 K - 303 K
ΔT = 45 K
Finally, we can calculate the specific heat capacity of glycerine:
c = Q/(mΔT)
c = 210000 J/(2 kg × 45 K)
c = 2333.3 J/(kg·K)
Therefore, the specific heat capacity (c) = 2333.3 J/(kg·K).
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Taylor and Savannah are doing the Period of a Pendulum Lab. They observe that a pendulum makes exactly 10 complete back and forth cycles of motion in 21.8 seconds. Determine the period of the pendulum.
Answer:
the answer is 2
Explanation:
when you solve for this equation it wont make sense but I'm making you read this because I ain't ever seen 2 best friends.
Two objects are thrown vertically upwards simultaneously, one on the surface of Earth and the other on the surface of the Moon.Both have an initial velocity of 20 m/s. Both objects will take the same time to reach the highest point of their trajectory.Select one:O TrueO False
ANSWER:
False
STEP-BY-STEP EXPLANATION:
The maximum height is determined by the speed but also by the acceleration of gravity.
The acceleration of gravity is not the same on the Moon as it is on the earth, therefore, the maximum height will not be the same.
Now apply the equations 1, 2 and 3 above to calculate the emf induced in a solenoid. From the experiment, the solenoid tube we used has an internal diameter of about 4cm. It has windings of about 519 turns and carries a current of 50mA. What is B at its centre? If you were to replace the magnetic bar with a smaller solenoid tube of 100 turns (has its own electric field) and having a diameter of Icm, it can also act as a magnet, because it will have its own electric field. When you place the smaller tube in, there will be an induced emf (e) in the larger tube. What is this induced emf (E)?
By applying the equation 1, 2, and 3, the induced emf (E) in a solenoid is 12.32 J/C.
Given that:
the number of turns (N) in the solenoid tube = 519 turnsthe diameter of the turn = 4 cm = 4 × 10⁻²Applying the equation for the length of the solenoid as equation (1);
Length = N × DL = 519 × 4 × 10⁻²L = 20.76 mThe magnetic B from the center can be estimated by applying the equation (2);
Using the equation or magnetic field B;
\(\mathbf{B = \dfrac{\mu_o \times N \times I}{l}}\)
where;
\(\mathbf{\mu_o =}\) permeability of free space = 4π × 10⁻⁷current (I) = 50 mA = 5.0 × 10⁻³ Alength of the solenoid (l) = 20.76∴
\(\mathbf{B = \dfrac{4 \pi \times 10^{-7}\times 519 \times 50 \times 10^{-3}}{20.76}}\)
B = 1.57 × 10⁻ T
B = 1.57 μT
Finally, applying equation (3) for the induced emf, the induced emf can be calculated by using the formula:
\(\mathbf{\varepsilon = \dfrac{n \times B\times A}{\Delta t}}\)
where;
the number of turns (n) of the small solenoid = 100Area A = πr² Area A = π × (0.5 × 10⁻²)² = 7.85 × 10⁻⁵\(\mathbf{\varepsilon = \dfrac{100 \times 1.57 \times 10^{-6}\times 7.85 \times 10^{-5}}{1}}\)
\(\mathbf{\varepsilon =1.232 \times 10^{-8} \ v/s}\)
Since 1 volt per second = 1 Joules/ Columb.∴
The induced emf \(\mathbf{\varepsilon =12.32 \times 10^{-9} \ J/C}\)
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What is sin-1 (0.61)?
Answer:0.65606 -> 0.66
Explanation:
Press 2nd on your calculator then hit sin, this will give you the inverse of sin. enter 0.61 in the ( ) and then enter.
A botanist is measuring plants to determine amount of growth after fertilizer was used. A ruler was used for the measurements. Which type of measurement is being collected?
Question 6 options:
a)
Linear
b)
Volume
c)
Mass
d)
Weight
Answer:
Hi there!
Your answer is:
A. Linear
Explanation:
Linear measurement is when you measure things in a straight line using tools such as a ruler, yardstick or tape measure. To measure height, they are using a ruler, which is a form of linear measurement!
I hope this helps!
The stopping distances associated with slower speeds approximate the forward visibilities provided by low beam lights. However, the illumination provided by low beam lights, about 150 feet, does not provide enough visibility in high speed driving situations where stopping distances are two or more times longer than the illumination distance provided by low beam lights. a. True b. False
Answer:
a. True
Explanation:
Illumination distance is the distance, up to which the light of the vehicle can reach. Hence, it is a maximum distance from the, that driver can see.
Stopping distance is the minimum distance required by the car to stop after brakes are applied.
So, in order to avoid any accident the illumination distance must be greater than the stopping distance. So, the driver can stop the vehicle in time, when he sees something in front of it.
Since, the stopping distance in this case is two or three times longer than illumination distance. Therefore, low beam light does not provide enough visibility in high speed driving situations.
Hence, the correct option is:
a. True
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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A car is traveling West on Old Milton Parkway at 100 km/hr when the driver spots a police cruiser in the bushes. The driver hits the brakes and the velocity of the car is reduced to 80 km/hr. How would you describe the acceleration of the car and driver? (Assume east is the positive direction).
The car had negative acceleration with velocity in the positive direction
A)The car had positive acceleration with velocity in the negative direction
B)The car experienced positive accelerationwith velocity in the negative direction
C)The car experienced negative acceleration with velocity in the positive direction.
The answer is option C) The car experienced negative acceleration with velocity in the positive direction.
A coil with 25 turns of wire is moving in a uniform magnetic field of 1.5 T. The magnetic field is perpendicular to the plane of the coil. The coil has a crosssectional area of 0.80 m2
. The coil exits the field in 1.0 s.
Find the induced emf.
Given that,
Number of turns, N = 25
Magnetic field, B = 1.5 T
The coil has a crosssectional area of 0.80 m2
The coil exits the field in 1.0 s.
To find,
Induced emf in the coil.
Solution,
The induced emf in the coil is given by :
\(\epsilon=\dfrac{-d\phi}{dt}\\\\=\dfrac{dB}{dt}\\\\=\dfrac{NBA}{t}\\\\=\dfrac{25\times 1.5\times 0.8}{1}\\\\=30\ V\)
So, the induced emf in the coil is 30 V.
You push a box across the floor with a force of 20 N. You push it 10 meters in 5 seconds. How much work did you do? How much power did you use? Enter your answer in the space provided.
Explanation:
ur answer is in attachment.
hope it helps u
mark as brainlist
follow for good ans
Explanation:
Force applied on the box = 20 N
Displacement, s = 10 m
Time taken = 5 sec
According to first condition of the question, we could find the value of work done
i.e
Work done = force × displacement
= 20 × 10
= 200 Joule
According to second condition of the question, we could find the value of power
i.e
Power = work done/Time taken
= 200/5
= 40 watt.
Hope it helpful!!!!!!!!!!!!
what does the modal "must"indicate?
Answer:
The modal verb must is used to express obligation and necessity. The phrase have to doesn't look like a modal verb, but it performs the same function.
A 13.0 kg toy train car moving at 3.40 m/s on a straight level train track, collides head-on with a second train car whose mass is 38.0 kg and was at rest on the track. If the collision is perfectly elastic and all motion is frictionless, calculate the velocities of the two cars after the
Before the collision, the total momentum of the two train cars is
(13.0 kg) (3.40 m/s) + 0 = 44.2 kg•m/s
After the collision, the two cars have velocity v₁ and v₂ so that their total momentum is
(13.0 kg) v₁ + (38.0 kg) v₂
Momentum is conserved, so
(13.0 kg) v₁ + (38.0 kg) v₂ = 44.2 kg•m/s
Before collision, the total kinetic energy of the two cars is
1/2 (13.0 kg) (3.40 m/s)² + 0 = 75.14 J
and after collision,
1/2 (13.0 kg) v₁² + 1/2 (38.0 kg) v₂²
Energy is also conserved, so
1/2 (13.0 kg) v₁² + 1/2 (38.0 kg) v₂² = 75.14 J
or
(13.0 kg) v₁² + (38.0 kg) v₂² = 150.28 J
Solve the momentum equation for either v₁ or v₂ :
(13.0 kg) v₁ + (38.0 kg) v₂ = 44.2 kg•m/s
⇒ v₂ = (44.2 kg•m/s - (13.0 kg) v₁) / (38.0 kg)
Substitute this into the energy equation and solve for the other variable :
(13.0 kg) v₁² + (38.0 kg) [(44.2 kg•m/s - (13.0 kg) v₁) / (38.0 kg)]² = 150.28 J
⇒ (17.4 kg) v₁² - (30.2 kg•m/s) v₁ + 51.4 J ≈ 150.28 J
⇒ (17.4 kg) v₁² - (30.2 kg•m/s) v₁ - 98.9 J ≈ 0
Using the quadratic formula,
⇒ v₁ = 3.40 m/s or v₁ ≈ -1.67 m/s
(We ignore the second solution because that's the initial condition.)
Solve for the remaining velocity:
v₂ = (44.2 kg•m/s - (13.0 kg) (-1.67 m/s)) / (38.0 kg)
⇒ v₂ ≈ 1.73 m/s
Part F
Imagine you were a sportscaster at the Olympics. You'd created a mathematical model similar to the one you just did. Imagine that you had a
computer program that could do an instantaneous analysis of video motion using that model. How could you use it in your sportscast?
A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.
Why will a program be needed?A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.
Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience
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write down the value of
920 kg in g
Answer:
920000
Explanation:
Each kg contains 1,000 grams
Suppose all the mass of the Earth were compacted into a small spherical ball.
What radius must the sphere have so that the acceleration due to gravity at the Earth's new surface was equal to the acceleration due to gravity at the surface of the Sun?
( MSun=1.99×1030kg , RSun=6.96×108m )
Express your answer with the appropriate units.
Answer:
F = G M m / R^2 a = G M / R^2
aS / aE = (MS / RS^2) / (ME / RE^2)
aS / aE = 329390 * RE^2 / RS^2) = 1 If acceleration due gravity equal
RE^2 = 1 / 329290 * (6.96E8)^2
RE^2 = 1.471 E12
RE = 1.213E6 m
actual RE = 6.38E6 m (average density of sun < that of earth)
Whenever an object is moving at a constant rate, the value(s) that equal zero is (are):
a) Speed
b) Acceleration
c) Velocity
d) All of the above
Whenever an object is moving at a constant rate . . .
a). its speed is that constant rate.
b). Its acceleration MAY BE zero, if it's also moving in a straight line.
c). Its velocity is that constant rate if it's moving in a straight line. Otherwise, its velocity could have many different values, depending on the path it's following.
A positive force on the balance indicates a downward force on the silver sphere while a negative force on the balance indicates an upward force on the silver sphere.With that in mind, do the two spheres have like charges or opposite charges? Give your answer as a CER.
The two spheres have opposite charges.
What are types charge?A charge can be negatively charged or positively charged.When two charges have opposite signs, that is positive and negative signs, the two charges will attract each other.When the two charges have the same sign, it causes repulsion.When a positive charge points downwards ↓ and the negative charge points upwards ↑, this causes attraction and shows that the two charges are different.
Thus, we can conclude that the two spheres have opposite charges.
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PLEASE HELP AND SHOW WORK,THANK YOU!!
4) Suppose that two identical
mass planets are sitting
million miles apart. At that
distance the planets have a
gravitational force of 1,000,000 N.
If the planets are moved
to two million miles apart, what
is the new gravitational force
between them?
The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N
The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Given:
Initial distance between the planets = 1 million miles
Initial gravitational force = 1,000,000 N
Final distance between the planets = 2 million miles
To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.
Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.
According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:
(F2/F1) = (d1/d2)²
Substituting the given values:
(F2/1,000,000 N) = (1 million miles / 2 million miles)²
Simplifying:
(F2/1,000,000 N) = (1/2)²
(F2/1,000,000 N) = 1/4
F2 = (1/4) * 1,000,000 N
F2 = 250,000 N
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an object moves at uniform speed (v) in a circular path, the
centripetal acceleration is a, if the object moves in the same
circular path at uniform speed (4v) the centripetal accelera on will
be?
The centripetal acceleration (a) of an object moving in a circular path is given by the formula:
a = v^2 / r
where v is the speed of the object and r is the radius of the circular path.
If the object moves at a uniform speed of 4v instead, we can plug this value into the formula to find the new centripetal acceleration (a'):
a' = (4v)^2 / r
Simplifying the expression, we get:
a' = 16v^2 / r
Now, we can compare the new centripetal acceleration (a') to the original centripetal acceleration (a):
a' = 16(a)
So, if the object moves in the same circular path at a uniform speed of 4v, the centripetal acceleration will be 16 times greater than the original centripetal acceleration.
Answer: V 2 /r
Explanation: "If a particles move with a uniform speed of V on any given circular path having the radius (r), the particle will have a centripetal acceleration of magnitude (v 2 /r). However, the direction continuously changes and always maintains its position towards the circle."