The first-order red and blue fringes for the two dominant wavelengths are separated by 0.188 meters.
To determine how far the nth number dark fringe is from the screen's center fringe, Young's experiment is employed. With the following formula, which is written as,
dsinθ= mλ
Here, the screen's distance from the slits is (d) and the wavelength of the light is (λ).
A hydrogen discharge lamp emits light with the two most noticeable wavelengths at 486 nm and 656 nm (red) (blue).
530 line/mm diffraction grating illuminated by hydrogen lamp light. Consequently, the distance's value will be,
\(d = \frac{1}{530} = 1.8 * 10^{-3}\) mm
The angle value for the red light is,
\((1.8 * 10^{-6} )\)sinθ = \(1* 656 *10^{-9}\)
sinθ = 364.44 * \(10^{-3}\)
θ = 21.37
On a screen 1.50 m behind the grating, the light is visible. how far away the red light is,
Y = (1.7)tan 21.37 = 0.665 m
The angle value for the blue light is,
\((1.8 * 10^{-6} )\)sinθ = \(1* 486 *10^{-9}\)
sinθ = 270 * \(10^{-3}\)
θ = 15.66
On a screen 1.50 m behind the grating, the light is visible. how far away the red light is,
Y = (1.7)tan 15.66 = 0.476 m
The first-order red and blue fringes are separated by a distance of,
0.665 m - 0.476 m = 0.188 m
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The equation of a transverse wave is
y(x, t) = 0.02 cos(10(pi)x - 400(pi)t)
where the units are SI.
The velocity of the wave is
a. 0.20 m/s
b. 8 m/s
C. 40 m/s
d. 0.20 km/s
e. 0.407 km/s
Answer:
C 40 m/s the velocity of WAve
Why is it better to use the metric system, rather than the English system, in scientific measurement?
A. The English system uses one unit for each category of measurement.
B. The metric system uses one unit for each category of measurement.
C. The English system uses consistent fractions that are multiples of 10.
D. The metric system utilizes a variety of number conversions.
A. The English system uses one unit for each category of measurement.
Answer:
A
Explanation:
What can happen when the Earth, Moon, and Sun are lined up in the order shown below?(study island)
When the Earth, Moon, and Sun are lined up, it can result in either a solar eclipse or a lunar eclipse, depending on the phase of the Moon.
What happens when the Earth, Moon, and Sun are lined up in the order shown?When the Earth, Moon, and Sun are lined up in the order shown below, it can result in a syzygy, which is a straight-line configuration of three celestial bodies.
The order is as follows: Sun --- Moon --- Earth
The specific effects of this configuration depend on whether it occurs during a new moon or full moon.
During a new moon, the Moon is between the Earth and Sun, and the side of the Moon facing the Earth is not illuminated by sunlight. This is also known as a solar eclipse, as the Moon's shadow falls on a portion of the Earth. This can only occur during a narrow region of the Earth's surface, and those in that region will see the Sun completely blocked by the Moon.
During a full moon, the Earth is between the Sun and Moon, and the side of the Moon facing the Earth is fully illuminated by sunlight. This is also known as a lunar eclipse, as the Earth's shadow falls on the Moon. This can be seen from anywhere on the night side of the Earth, as long as the Moon is above the horizon.
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the heaviest invertebrate is the giant squid, which is estimated to have a weight of about 0.34 tons spread out over its length of 33 feet. what is its weight in newtons?
The weight of the heaviest invertebrate in Newtons is equal to 3334.261 N.
What is the weight of the object?The weight of a body can be defined as the force exerted on the object due to gravity. Weight can be expressed as a vector measurement if the gravitational force is exerted on the object.
The unit for measurement of the weight is that of force, which (SI) is the newton (N). An object having a mass of 1 Kg has a weight of about 9.8 N on the Earth's surface, and about 1/6th as much on the Moon.
The mathematical expression to find the weight of an object can be written as follows:
W = mg
Given, the weight of the invertebrate, W = 0.34 Tons
We know that 1 Ton = 9806.65 N
The weight of the invertebrate = 0.34 × 9806.65 N = 3334.26 N
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At which point is potential energy greatest?
Answer:
highest point
Explanation:
Potential energy is greatest when the most energy is stored. This could be when an object reaches its highest point in the air before falling, a rollercoaster just before it drops, or when a rubber band is stretched as far back as possible before it snaps.
why fan videos be streamed from the cloud to a computer with no lost quality
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
How do digital signals work?
An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.
Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
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A 15 g toy car moving to the right at 22 cm/s
has a head-on nearly elastic collision with a
22 g toy car moving in the opposite direction
at 31 cm/s. After colliding, the 15g car moves
with a velocity of 42 cm/s to the left.
Find the speed of the second car after the
collision.
Answer in units of cm/s. Answer in units
of cm/s.
Answer:
Explanation:
The speed of the second car after the collision can be found using the law of conservation of momentum. The law states that the total momentum of a system remains constant if no external forces act on it.The initial momentum of the first car is (15g)(22 cm/s) = 330 g cm/s to the right.
The initial momentum of the second car is (22g)(-31 cm/s) = -682 g cm/s to the left.
The total initial momentum of the system is 330 g cm/s - 682 g cm/s = -352 g cm/sAfter the collision, the final momentum of the first car is (15g)(-42 cm/s) = -630 g cm/s to the left.
The final momentum of the second car is (m)(v) where m is the mass of the second car and v is the speed after the collision.
The total final momentum of the system is -630 g cm/s + (m)(v) = -352 g cm/s (since it remains constant)Therefore, m*v = -630 g cm/s + 352 g cm/s = -278 g cm/sTo find v, we need to divide the momentum by the mass
v = -278 g cm/s / 22 g = -12.6 cm/sSo the speed of the second car after the collision is -12.6 cm/s to the left.
The stemplot below shows the heights (in inches) of students in a class.
5
6
1367788
0279
23
7
Which of the following is a height of a student in the class?
A. 79 inches
B. 88 inches
C. 51 inches
D. 23 inches
From the given stem plot of the heights of students in inches, the height of a student will be 51 inches, i.e., option C.
Each data value in a stem and leaf plot is divided into a “stem” (the first number of the digit) and a “leaf” (often the final digit).
The “leaf” values follow the “stem” values to the right (or left) in a list format.
Each “leaf” displays the individual scores within each group, while the “stem” is used to categorize the results.
The list of heights (in inches) of students from the following stem plot graph is as follows – 51, 53, 56, 57, 57, 58, 58, 60, 62, 67, 69, 72, 73
So, the height corresponding to a student from the given list is 51 inches. Therefore, the correct option is C, 51 inches.
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Which of the following diagrams would be a good, strong magnet?
What is the change in potential energy of a wood mass 2kg thrown up with a velocity of 12m/s and comes down ?
When the wood comes down the change in potential energy of mass 2 kg and velocity 12 m/s is 144 J.
When the object is thrown vertically upwards, the height increases. The potential energy also increases with respect to the height. The potential energy is maximum, and the kinetic energy is zero when the stone moves vertically upwards.
When the object comes down, the potential energy decreases and results in increasing in kinetic energy. When the stone comes down, the potential energy is converted to kinetic energy, and the change in potential energy results in kinetic energy.
From the given,
mass of the wood (m) = 2kg
the velocity of the wood (v) = 12 m/s
kinetic energy (K.E) = mv² / 2
= (2×12×12) / 2
= 144 J
Thus, the change in kinetic energy is 144 J.
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The coefficient of static friction between a 3.00 kg crate and the 35.0o incline is 0.300. What minimum force F must be applied perpendicularly to the incline to prevent the crate from sliding down
Answer:
32.13 N
Explanation:
Given that
mass of the crate, m = 3 kg
angle of inclination, = 35°
coefficient of static friction, = 0.3
To solve this, we can assume that the minimum force is F Newton, then use the formula
mgsinA = coefficient of static friction * [F + mgcosA]
=>3 * 9.8 * sin35 = 0.3 * [F + 3 * 9.8 * cos35]
=> 29.4 * 0.5736 = 0.3 * [F + 29.4 * 0.8192]
=> 16.86 = 0.3 [F + 24.08]
=> 16.86 = 0.3F + 7.22
=> 16.86 - 7.22 = 0.3F
=> 0.3F = 9.64
=> F = 9.64/0.3
=> F = 32.13 N
Therefore, the Force that must be applied is 32.13 N
The net force that must be applied is 9.8 N.
The minimum force required is Fnet.
Fnet = -Ff + mgsinθ
But Ff = μN = μmgcosθ
Fnet = - μmgcosθ + mgsinθ
Where;
m = 3.00 kg
μ = 0.300
θ = 35.0o
Substituting values;
Fnet = mgsinθ - μmgcosθ
Fnet = (3 × 10 × sin 35.0o) - (3 × 0.300 × 10 × cos 35.0o)
= 17.2 - 7.4
Fnet = 9.8 N
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how is potential energy a scalar quantity even though it can be negative?
Explanation:
Potential energy is a scalar quantity because it has only magnitude and no direction. Its ability to be negative does not affect its scalar nature.
Please mark brainliest
With clear steps, find the dimension of: Area, Volume, Density, Pressure, Acceleration and Force
[M0L1T - 2] is the computed Dimensional formula for acceleration. [M0L3T0] is the volume. It is now [M0L0T1]. It is [M0L1T0] miles away. The time formula is [M0L0T1].
Force = mass * acceleration is the formula.
The dimensional formulas for mass and acceleration are [M1L0T0] and [M0L1T - 2], respectively.
The dimensional formulas for mass and volume are [M1L0T0] and [M0L3T0], respectively.
Formula for velocity is: velocity = change in displacement time.
The dimensional formulas for time and displacement are [M0L0T1] and [M0L1T0], respectively.
Work is defined as: force times distance.
The dimensional formulas for force and distance are [M1L1T - 2] and [M0L1T0], respectively.
Formula: force times time equals pressure
The dimensional formulas for force and time are [M1L1T - 2] and [M0L0T1], respectively.
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write the standard of 1 metere
Let's see
\(\\ \rm\Rrightarrow 1metre= 10^2cm\)
\(\\ \rm\Rrightarrow 1m=10^3mm\)
\(\\ \rm\Rrightarrow 1m=10^6\mu m\)
\(\\ \rm\Rrightarrow 1m=10^{-3}km\)
\(\\ \rm\Rrightarrow 1m=10^{9}nm\)
Darrel wakes up and notices there are water droplets on his window. He is confused about why there are water droplets because it did not rain last night. Which of the following statements best explains why there are water droplets on the window?
Answer:
You didn't put any options but there are water droplets on the window due to dew-condensation.
Explanation:
I learned this in class.
Answer:
its C or D
Explanation:
The energy from the sun caused water to heat up and evaporate.
shows a mixing tank initially containing 2000 lb of liquid water. The tank is fitted with two inlet pipes, one delivering hot water at a mass flow rate of .8 lb/s and the other delivering cold water at a mass flow rate of 1.2 lb/s. Water exits through a single exit pipe at a mass flow rate of 2.5 lb/s. Determine the amount of water, in lb, in the tank after one hour
Answer:
the water that remain in the tank in one hour will be 200 lb
Explanation:
Initial mass of water in the tank = 2000 lb
hot water is delivered through the first inlet pipe at a rate of = 0.8 lb/s
cold water is delivered through the second inlet pipe at a rate of = 1.2 lb/s
exit pipe flow rate = 2.5 lb/s
amount of water in the tank after one hour = ?
In one hour, there are 60 x 60 seconds = 3600 sec, therefore
the water through the first inlet pipe in one hour = 0.8 x 3600 = 2880 lb
the water through the second inlet pipe in one hour = 1.2 x 3600 = 4320 lb
the water through the exit in one hour = 2.5 x 3600 = 9000 lb
The total amount of water in the tank = 2000 + 2880 + 4320 = 9200 lb
The total amount of water that leaves the tank = 9000 lb
therefore, in one hour, the water that remain in the tank will be
==> 9200 lb - 9000 lb = 200 lb
If the 100 g mass is replaced by a 200 g mass, which variables in Tnet = la change, and which
remains constant? Justify your answer.
The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.
What is the changed variable in the equation?The formula for net torque acting on an object is given as;
T(net) = Ia
where;
a is the angular accelerationI is the moment of inertiaT(net) is the net torqueThe moment of inertia of an object is given as;
I ∝ MR²
where;
M is the massR is the radius of the objectSo mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.
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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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A chemical symbol is to an element as a chemical formula is to a(n)
Anna is writing a test. She is so focused on writing the test that she does not hear the invigilator remind her that she only has five minutes to complete her test. Anna is engaged in
Answer:
selective attention
Explanation:
Can you draw a free body diagram of this for me?
In order to draw the free body diagram, let's draw the cart as a rigid object and each external applied force acting on this rigid object.
Also, the bigger the magnitude of the force, the bigger the arrow we draw to represent this force.
So we have:
Since the force to the left is greater than the force to the right and they are acting in opposite directions, the resulting force is the difference of the magnitudes and the resulting force is to the left. Therefore the blue team is the winner.
Use the dimensional analysis and check the correctness of given equation (no spam ) plz:- PV= nRT
PV=nRT
Here
P=Pressure
V=Volume
n=Molarity
R=universal gas constant
T=Temperature.
LHS
\(\\ \tt\bull\leadsto PV\)
\(\\ \tt\bull\leadsto [ML^2T^{-2}][M^0L^3T^0]\)
\(\\ \tt\bull\leadsto [ML^5T^{-2}]\)
RHS
\(\\ \tt\bull\leadsto nRT\)
\(\\ \tt\bull\leadsto [M^0L^{3}T^0][M^1 L^2 T^{-2}K^{-1}][M^0L^0T^0K^1]\)
\(\\ \tt\bull\leadsto [ML^5T^{-2}]\)
LHS=RHS
hence verified
Select the correct answer. What creates an electric force field that moves electrons through a circuit? A. energy source B. load C. metal wires D. resistance
The correct answer is A. An energy source creates an electric force field that moves electrons through a circuit.
Consider the broadcasting circuit for an AM radio station which broadcasts at a frequency of 1400 kHz. The free electrons in such a circuit are moving back and forth in simple harmonic motion. (a) How long does it take for the free electrons in this circuit to go back and forth once? Give your answer in microseconds. μs (b) Assuming the average speed of the free electrons is 100 μm/s, what is the range of motion of the electrons as they go back and forth in the wires of the circuit. (HINT: As a free electron goes back and forth, it travels its full range every half cycle.) Give your answer in nanometers. nm (c) What is the wavelength of the electromagnetic radio waves emitted by this broadcasting circuit? Give your answer in meters. m
a) Time period is given by 0.751 b) Displacement is 0.0751 nm c) The wavelength of the electromagnetic radio waves emitted is 225.56 m
T = 1/f
T = 1/(1330*10^3 Hz)
T = 751.88 ns
Time period T = 0.751 us
b) displacement is given by:
x = velocity * Time
x = 100*10^-6 m/sec*0.751*10^-6 sec
x = 0.0751 nm
c) lambda = c/f
lambda = 3*10^8/(1330*10^3 Hz)
lambda = 225.56 m
Displacement, commonly known as length or distance and denoted by the letters d or s, is a one-dimensional variable that represents the separation between two defined points. In the International System of Units (SI), the meter is the common unit of displacement (m). Transferring unfavorable emotions from one thing or person to another is referred to as displacement and is a defensive tactic. To "take out" their rage on a family member, for instance, a person can yell at them if they are upset with their job. Replace, supersede, and supplant are some frequent alternatives to the word "displace."
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An eagle is flying horizontally at a speed of 3.80 m/s when the fish in her talons wiggles loose and falls into the lake 3.60 m below. Calculate the velocity (in m/s) of the fish relative to the water when it hits the water. (Assume that the eagle is flying in the +x-direction and that the +y-direction is up.)
(a) magnitude m/s
(b) direction
The magnitude of the velocity of the eagle would be 8.4 m/s and its direction would be -69.4°.
Calculation of velocityLet's consider the motion of the fish just before it hits the water. At this point, the fish has a downward velocity due to gravity, and a horizontal velocity equal to the eagle's velocity. The horizontal velocity of the fish remains constant throughout its motion, but the vertical velocity changes due to the effect of gravity.
We can use the following kinematic equation to find the velocity of the fish just before it hits the water:
v^2 = u^2 + 2as
where v is the final velocity of the fish just before it hits the water, u is the initial velocity of the fish, a is the acceleration due to gravity (-9.8 m/s^2), and s is the vertical distance the fish falls (3.60 m).
The initial vertical velocity of the fish is zero, so we can simplify the equation to:
v^2 = 2as
v^2 = 2 x (-9.8 m/s^2) x (3.60 m)
v^2 = -70.56
v = sqrt(-70.56)
Since the final velocity of the fish cannot be negative, we know that the fish hits the water with a velocity of:
v = 8.4 m/s (approx)
The direction of the velocity can be found using trigonometry. The velocity of the fish has two components: a horizontal component equal to the eagle's velocity (3.80 m/s) and a vertical component due to gravity. The angle between the velocity vector and the horizontal axis can be found using the following equation:
tan(theta) = vertical component / horizontal component
tan(theta) = (-9.8 m/s^2) / (3.80 m/s)
theta = -69.4 degrees (approx)
The negative sign indicates that the velocity vector is below the horizontal axis, which means that the fish is moving downward at an angle of 69.4 degrees relative to the horizontal. Therefore, the direction of the velocity vector is:
θ = -69.4° (approx) (measured below the horizontal axis)
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PLEASE HELPPP MEEE :((
An electric device uses 650 watts of power. If the voltage is 120 volts, what is the resistance?
The resistance of the electric device using a power of 650 watts is approximately 27.7 ohms.
How determine resistance from power and votage?Ohm’s law states that the potential difference between two points is directly proportional to the current flowing through the resistance.
Hence
V = IR
R = V/I
Where V is the voltage or potential difference, potential difference, I is the current and R is the resistance.
We need to first find the electric current I.
Note:
Power = Voltage × Current.
Hence:
Current I = Power/Votage
Plug in the values
I = 650 / 120
I = 13/3 A
Substituting the values of voltage and current intio the above formula, we can calculate the resistance:
R = V/I
R = 120 / (13/3)
R = 27.7 ohms
Therefore, the resistance is approximately 27.7 ohms.
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1 What is a vector field?
2 How do you know that potential energy is converted into kinetic energy in certain force fields?
3 What is the rule on electric charges attracting or repelling?
Opposites attract, equals repel
4 How can atoms use electric charges to bond?
5 Where is the potential energy of a magnet stored?
6 How can you tell which pole is the north and which pole is the south in a magnet?
7 How can you increase the potential energy of a magnetic field?
8 If you have two charges alone in space, what will they do to each other?
9 What must occur in magnets to have it generate a magnetic field?
10 What is an electromagnet? A magnet that is made from metal and electrified and with a coil
Answer:
1. a vector field is an assignment of a vector to each point in a subset of space.
2. The direct answer is that it happens through Newton’s second law. If an object is in a potential field that is different at different points in space, then the object will experience a force in the direction in which the potential energy decreases. Newton’s second law says that a force causes a change in motion, which changes the kinetic energy.
3. According to Coulomb, the electric force for charges at rest has the following properties: Like charges repel each other; unlike charges attract. Thus, two negative charges repel one another, while a positive charge attracts a negative charge. The attraction or repulsion acts along the line between the two charges.
4. Ions are charged atoms that form when an atom donates or accepts one or more negatively charged electrons. Cations (ions with a positive charge) are attracted to anions (ions with a negative charge). This attraction is called an ionic bond.
5. Magnetic Field
Hope it Helps!!!!
A small mass is released from rest at a very great distance from a larger stationary mass. Draw a graphs best represents the gravitational potential energy U of the system of the two masses as a function of time T.
Answer:
attached below
Explanation:
Gravitational potential
energy = \(- \frac{GmM}{r}\) ,
V ∝ \(- \frac{1}{r}\)
attached below is a graph that represents the gravitational potential energy U
Gravitational potential energy is the energy held in an entity as a result of its vertical position or length. This gravitational pull of a planet on an object causes the information to be stored.
This is connected with gravitational pull since it takes work to lift anything against the gravity of the Earth.
Freshwater in a raised lake or kept behind a dam demonstrates gravitational force.
According to the formula:
Gravitational potential energy \(\bold{=-\frac{GMm}{r^2}}\)
Therefore
\(\to \bold{V \propto -\frac{1}{r}}\)
Therefore, the answer is "Option d"
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20 points!!! Emergency help required.
Florence is spinning a 770 g weight tied to a string over her head. The string is 0.94 m long, and the weight is moving with a speed of 4.24 m/s. What is the centripetal force pulling the weight inward?
14.7 N
20.6 N
11.0 N
19.7 N
The centripetal force pulling the weight inward is 19.7 N. The closest option to this value is option (D), 19.7 N.
What is Centripetal Force?
Centripetal force is a force that acts on an object moving in a circular path, directing it toward the center of the circle. In other words, it is the force required to keep an object moving in a circular path, rather than flying off in a straight line. The word "centripetal" comes from the Latin words "centrum", which means "center", and "petere", which means "to seek or aim for".
The centripetal force, which is the force acting on an object moving in a circular path, is given by the formula:
F = m * v^2 / r
where F is the centripetal force, m is the mass of the object, v is its velocity, and r is the radius of the circular path.
In this case, the mass of the weight is 770 g, or 0.77 kg, the velocity is 4.24 m/s, and the radius is 0.94 m.
F = (0.77 kg) * (4.24 m/s)^2 / 0.94 m
F = 19.7 N
Therefore, the centripetal force pulling the weight inward is 19.7 N. The closest option to this value is option (D), 19.7 N.V
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