Hence the correct equation that represents the way to find the concentration of the dilute solution (C2) can be given as C2 = (C1V1)/V2.
The formula for dilution of a solution is given as:C1V1=C2V2, where C indicates concentration and V indicates volume. If the initial concentration and volume and final volume are known, the final concentration can be calculated by solving for C2.
Explanation:Let's take an example to explain it better.
Suppose, we need to prepare a 500 ml of 0.5 M NaCl solution from 1.0 M NaCl solution.
Given, Initial concentration, C1= 1.0 M ,Initial volume, V1= 1000 ml
Final volume, V2= 500 ml, Final concentration, C2= ?
To find C2 using the dilution equation,
C1V1=C2V2(1.0 M) (1000 ml) = C2 (500 ml)C2= (1.0 M x 1000 ml) / 500 ml= 2.0 M
Observations: The final concentration of the NaCl solution prepared by dilution is 0.5 M. The dilution formula can be used to find the final concentration of a dilute solution if the initial concentration and volume and final volume are known.
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You have accepted a summer internship at NASA working on a proposed rover for the moon. Your group is tasked with evaluating a design for a device that will be housed inside of the rover. The device will be used for massing small rocks by measuring the rate of oscillation. You have to determine if the device can damage the housing The rover is designed to retrieve a rock from the surface of the moon and then place it into a nearly massless chamber connected to a spring. Once the rock is loaded in the chamber and positioned at the spring's equilibrium point, a small mallet strikes it and sets it in simple harmonic motion. The motion takes place on a horizontal plane with respect to the moon's ground. Depending on how the chamber oscillatos, you may determine the mass of the rock. The device's specifications are for a 200 gram rock, when struck, will move initially at 14 cm/s and execute simple harmonic motion with a frequency of 0.30 Hz.
Required:
a. Estimate the maximum kinetic energy of the chamber with a 200 gram rock.
b. Estimate the maximum acceleration of the chamber with a 200 gram rock.
c. Develop a representation of the motion for a 200 gram rock as a function in time, x(t).
d. Does this seem like a lot of force inside of the rover? Why or why not?
A. The estimated maximum kinetic energy of the chamber with a 200 gram rock is approximately 0.00196 Joules. B. the estimated maximum acceleration of the chamber with a 200 gram rock is approximately 1.131 m/s².
C. The representation of the motion for a 200 gram rock as a function of time is x(t) = 0.1 × cos(2π × 0.30 Hz × t). D. It does not seem like a lot of force inside the rover.
How did we get these values?To evaluate the design and determine if the device can damage the housing, go through the required steps:
a. The maximum kinetic energy of the chamber can be calculated using the formula:
K_max = (1/2) × m × v²
where K_max is the maximum kinetic energy, m is the mass of the rock, and v is the velocity of the rock.
Given:
Mass of the rock (m) = 200 grams = 0.2 kg
Velocity of the rock (v) = 14 cm/s = 0.14 m/s
Using the formula, we can calculate:
K_max = (1/2) × 0.2 kg × (0.14 m/s)²
K_max ≈ 0.00196 Joules
Therefore, the estimated maximum kinetic energy of the chamber with a 200 gram rock is approximately 0.00196 Joules.
b. The maximum acceleration of the chamber can be determined using the formula:
a_max = ω² × A
where a_max is the maximum acceleration, ω is the angular frequency, and A is the amplitude of the oscillation.
Given:
Angular frequency (ω) = 2π × frequency
Frequency = 0.30 Hz
Using the formula, we have:
ω = 2π × 0.30 Hz
Now, let's assume the amplitude of the oscillation is A = 0.1 meters.
a_max = (2π × 0.30 Hz)² × 0.1 meters
a_max ≈ 1.131 m/s²
Therefore, the estimated maximum acceleration of the chamber with a 200 gram rock is approximately 1.131 m/s².
c. The motion of the rock in simple harmonic motion can be described by the equation:
x(t) = A × cos(ω × t)
where x(t) represents the displacement of the rock at time t, A is the amplitude, ω is the angular frequency.
Using the values from earlier:
Amplitude (A) = 0.1 meters
Angular frequency (ω) = 2π × 0.30 Hz
The representation of the motion for a 200 gram rock as a function of time is:
x(t) = 0.1 × cos(2π × 0.30 Hz × t)
d. Based on the given information, the maximum kinetic energy of the chamber with a 200 gram rock is approximately 0.00196 Joules. This is a relatively small amount of energy.
The maximum acceleration of the chamber with a 200 gram rock is approximately 1.131 m/s². This acceleration is also relatively small.
Considering these values, it does not seem like a lot of force inside the rover. The energy and acceleration involved are relatively low, suggesting that the device should not cause significant damage to the housing. However, it is always essential to ensure that the design and materials used in the housing can withstand the expected forces and vibrations to ensure the rover's durability and functionality.
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Which object has kinetic energy? (1 point)
apple in a tree
battery in a remote-control car
soccer ball flying through goalposts
electric heater
Answer: soccer ball
Explanation:
The kicker has the potential energy and as the kicker kicks the ball that potential energy turns to kinetic
how long does it take a motor with an output of 8.0 w to lift a 2.0 kg object 88 cm?
The takes a motor with an output of 8.0 W approximately 3.632 minutes to lift a 2.0 kg object 88 cm.
The time it takes a motor with an output of 8.0 W to lift a 2.0 kg object 88 cm can be calculated using the equation for work, which is given by:
W = F * d
where W is the work done, F is the force required to lift the object, and d is the distance the object is lifted. The force required to lift the object can be calculated using the equation for weight, which is given by:
F = m * g
where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s^2).
Substituting the values for m and g into the equation for weight, we get:
F = 2.0 kg * 9.8 m/s^2 = 19.6 N
Now that we know the force required to lift the object, we can substitute this value into the equation for work to calculate the work done:
W = F * d = 19.6 N * 88 cm = 1717.28 J
Finally, we can use the equation for power, which is given by:
P = W / t
where P is the power of the motor and t is the time it takes to lift the object. We know the power of the motor (8.0 W) and the work done (1717.28 J), so we can calculate the time it takes to lift the object:
t = W / P = 1717.28 J / 8.0 W = 215.91 seconds = 3.632 minutes
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Either coal (C) or gas (G) can be used in the production of steel. The cost (per unit) of coal is 100 , the cost (per unit) of gas is 500 . Draw an isocost curve showing the different combinations of gas and coal that can be purchased (a) with an initial expenditure (TC) of 20000 . (b) if the expenditure (TC) increases by 50%. (c) if the gas price is reduced by 25%. (d) if the coal price rises by 20%. In answering parts (b)-(d), always start from the original isocost equation.
a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d) The isocost curve equation is G = (20000 - 120C)/500.
To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.
Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.
(a) Initial expenditure (TC) of 20000:
To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation
TC = 100C + 500G
We can rearrange the equation to solve for G in terms of C
G = (TC - 100C) / 500
Now we can plot the isocost curve with TC = 20000 using the equation above.
(b) Expenditure (TC) increases by 50%
If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.
We can use the same isocost equation as before, but with the new expenditure value:
TC_new = 100C + 500G
Rearranging the equation to solve for G
G = (TC_new - 100C) / 500
Now we can plot the isocost curve with TC_new = 30000.
(c) Gas price reduced by 25%:
If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.
We can use the original isocost equation, but with the new cost per unit value:
TC = 100C + 375G
Rearranging the equation to solve for G
G = (TC - 100C) / 375
Now we can plot the isocost curve with the reduced gas price.
(d) Coal price rises by 20%
If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.
We can use the original isocost equation, but with the new cost per unit value:
TC = 120C + 500G
Rearranging the equation to solve for G:
G = (TC - 120C) / 500
Now we can plot the isocost curve with the increased coal price.
By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.
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I need help!!! What is the answer!!
Answer:
A I think hope it helps!!
How do these forces affect the paths of launched particles?
The way how charged particles interact is demonstrated with the Charge Launcher Gizmo. Tiny charged particles have the ability to attract (pull together) or repel (push apart) one another, just like magnets.
The positive charge is present in the red particles.
The red particle took a slightly bent downhill route when it was launched from the upper left corner of the grid.
The blue particles are negatively charged. This particle is fixed, which means it is affixed to the grid. The blue particle took the same course downhill when it was released from the upper right corner of the grid and at the very end it curled upward.
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What’s the mass of the continent?
Answer:
Assume that the north american continent can be respanterd by a slab of rock 4000 km on a side and 30 km deep and that the rockiam help for youthankscommentflowingWhats the difference between a solar eclipse and a lunar eclipse?
Answer:
A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.
Explanation:
your welcome
Una esfera de radio 0.4m tiene una masa de 300kg, se desea sumergir en agua para saber si flota o no. En este ejercicio use la densidad del agua en kg/m^3.
Answer:
La esfera no flotará pero se hundirá cuando se coloque en el agua porque su densidad es mayor que la del agua.
Explanation:
De la pregunta anterior, se obtuvieron los siguientes datos:
Radio (r) de la esfera = 0,4 m
Masa de esfera = 300 Kg
Densidad del agua = 1000 Kg / m³
A continuación, determinaremos el volumen de la esfera. Esto se puede obtener de la siguiente manera:
Radio (r) de la esfera = 0,4 m
Pi (π) = 3,14
Volumen (V) de la esfera =?
V = 4/3 πr³
V = 4/3 × 3,14 × 0,4³
V = 12,56 / 3 × 0,064
V = 0,27 m³
A continuación, determinaremos la densidad de la esfera. Esto se puede obtener como se ilustra a continuación:
Masa de esfera = 300 Kg
Volumen de esfera = 0,27 m³
Densidad de esfera =?
Densidad = masa / volumen
Densidad de la esfera = 300 / 0,27
Densidad de la esfera = 1111,11 Kg / m³
Comparando la densidad del agua y la de la esfera.
Sustancia >>>>>>> Densidad
Agua >>>>>>>>>>> 1000 Kg / m³
Esfera >>>>>>>>>> 1111,11 Kg / m³
De la ilustración anterior, podemos ver que la densidad de la esfera es mayor que la del agua.
Por lo tanto, la esfera no flotará sino que se hundirá cuando se coloque en el agua porque su densidad es mayor que la del agua.
What is the average speed of a stone falling from the roof of a 6 m high house?
Answer:
Below
Explanation:
Speed at beginning = 0
speed at bottom = ?
d = 1/2 at^2
6 = 1/2 (9.81)(t^2 ) shows t = 1.1 s
vf = at = 9.81 ( 1.1) = 10.85 m/s
Average = ( 10.85 - 0) / 2 = 5.42 m/s average
A capacitor has plates of area
3.61 x 10-4 m2 which are separated
by 4.72 x 10-6 m. What is its
capacitance?
[?] * 10?! F.
Answer:
6.76875 • 10 ^-10 F
Explanation:
You just follow the formula:
C = εA/d
ε = 8.85 • 10^-12
A = 3.61 • 10^-4
D = 4.72 • 10 ^-6
So:
C = (8.85 • 10^-12)(3.61 • 10^-4)/4.72 • 10 ^-6 = 6.76875 • 10 ^-10 F
Good Luck! :)
A conducting bar moves along a circuit with a
constant velocity. A constant magnetic field of
1.23 T is perpendicular to the bar and circuit.
The bar covers 2.00 m2 of area in
1.00 second. What is the EMF
induced in the circuit?
[?] V
Explanation:
\(E = \frac{BA}{t} \sin( \theta) \\ = \frac{1.23 \times 2}{1} \\ = 2.46 \: V\)
which discribes what a velocity/time graph would look like with no accelaration
b) A space shuttle burns fuel at the rate of 13,000kg in each second. Find the force exerted by the fuel on the shuttle if in 2s the shuttle experiences a change in momentum of 325,000kgm/s.
The shuttle is under a force of 1.625 105N from the fuel. The force on a body expressed as a change in momentum is,
F= Δ\(\frac{p}{t}\) (1)
Where,
F is the force that the shuttle is being subjected to from the fuel.
P represents the change in the shuttle's momentum.
t stands for the overall amount of time needed.
Considering our query,
ΔP= \(=325000=3.25X 10^{5} kg-m/s\)
t = 2 seconds
Equation (1) yields the following results when the necessary values are substituted:
\(F= \frac{3.25 10^{5} }{2}\)
\(F= 1.625\) x \(10^{5}\)N
Hence, 1.625105N is the force the fuel is exerting on the shuttle. The amount of motion a body has is referred to as momentum. Given that momentum relies on both velocity and the vector of the body's motion, it really is quantified as "mass speed". As acceleration and mass are both scalar quantities, vector quantities include momentum.
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when we speak of the large-scale structure of the universe, we mean
According to the given statement the correct answer is when we speak of the large-scale structure of the universe, we are referring to the distribution and arrangement of matter and energy on the largest scales, such as galaxy clusters and superclusters.
This includes the overall cosmic web of filaments and voids, as well as the patterns of cosmic microwave background radiation that provide insights into the early universe. Understanding the large-scale structure is crucial for investigating the origins and evolution of the universe.When we refer to the large-scale structure of the universe, we are talking about the distribution of matter and galaxies on a very large scale. This includes the arrangement of clusters and superclusters of galaxies, as well as the vast cosmic voids that separate them. The large-scale structure of the universe is studied in the field of cosmology, and understanding its properties can provide insight into the origin, evolution, and future of the universe. Some of the tools used to study the large-scale structure of the universe include telescopes, surveys of galaxy positions, and computer simulations.
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Explain Energy Transformation using the image below and how the Law of Conservation of Energy is maintained.
The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles. The law of conservation of energy is maintained in each process.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given is a diagram of energy conversion due to combustion.
The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles.
The law of conservation of energy states that the energy can neither be created nor destroyed. It can be only converted to one form to the other.
In the given process, the mass decreases but energy remains the same in all forms of energy.
Hence, the law of conservation of energy is maintained in each process
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Which group of elements are shiny, opaque, and have a high melting point?
A- Metals
B- Metalloids
C- Non metals
the greatest magnification on the compound light microscope can be achieved by using the high power objective lens.
The statement is false, that the greatest magnification on the compound light microscope can be achieved by the use of the high-power objective lens.
What is a Compound Light microscope?A microscope with numerous lenses and its own light source is referred to as a compound light microscope. In this type of microscope, the rotating nosepiece is positioned closer to the specimen and contains the objective lenses, while the binocular eyepieces house the ocular lenses.
The compound binocular microscope is now more often utilized, even though it can occasionally be found as monocular with only one ocular lens.
Zacharias Jansen's 1595 invention of the compound microscope with collapsible tubes and a 9X magnification produced the first light microscope.
Since then, microscopes have advanced significantly; the strongest compound microscopes available today have magnifications of 1,000 to 2,000X.
Hence, the statement is false that it can be achieved by using the high power objective lens.
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who proposed the big bang theory
Answer:
is it George Lemaitre?
Explanation:
sorry if i'm not helpful
Plz help me!
How do electromagnetic fields work?
Answer:
Electromagnetic field, a property of space caused by the motion of an electric charge. A stationary charge will produce only an electric field in the surrounding space. If the charge is moving, a magnetic field is also produced. An electric field can be produced also by a changing magnetic field.
How many electrons per second flow through a wire with a 12pA current?
Consider an unknown charge that is released from rest at a particular location in an electric field so that it has some initial electric potential energy. In what direction will the charge move in regards to its potential energy
The charge will move in the direction that minimizes its electric potential energy, either towards lower potential (for positive potential energy) or towards higher potential (for negative potential energy).
When an unknown charge is released from rest at a particular location in an electric field, the direction in which the charge moves will depend on its initial electric potential energy.
The charge will move in the direction that reduces its potential energy. In other words, it will move in the direction of decreasing electric potential.
If the charge has positive electric potential energy, it will move in the direction of decreasing potential towards a region of lower potential.
Conversely, if the charge has negative electric potential energy, it will move in the direction of increasing potential towards a region of higher potential.
In summary, the charge will move in the direction that minimizes its electric potential energy, either towards lower potential towards higher potential.
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a student in an electronics lab is studying the electrical properties of pieces of graphite
A cylindrical bit of graphite with a radius of 0.7 mm is subjected to a potential differential of 24 V along its length by the student.
What use does graphite serve?Pencils, lubricants, crucibles, casting facings, polishes, arc lights, batteries, electric motor brushes, and nuclear reactor cores all include graphite. China, India, Brazil, N.korea, and Canada all mine large amounts of it. Graphite was inadvertently created for the first time by Edward G.
What is distinctive about graphite?It is special in that it possesses traits common to both metals and non-metals, including flexibility without being elastic, high thermal and electrical conductivity, high refractoriness, and chemical inertness. Due to its low X-ray and neutron absorption, graphite is a particularly useful material.
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3. [-/5 Points] DETAILS SERCP11 15.3.P.026. A helium nucleus of mass m 6.64 x 10-27 kg and charge q= 3.20 x 10-19 C is in a constant electric field of magnitude E4.00 x 10-7 N/C pointing in the positive x-direction. Neglecting other forces, calculate the nucleus' acceleration and its displacement after 1.70 s if it starts from rest. (Indicate the direction with the sign of your answer.) HINT (a) the nucleus acceleration (in m/s) 1.93x1011 x Your answer cannot be understood or graded. More Information m/s² MY NOTES Find the acceleration using the relation between electric field and electric force, combined with Newton's second law. Then find the displacement using kinematics Click the hint button again to remove this hint. (b) its displacement (in m) 1.64x10 11 x Your answer cannot be understood or graded. More Information m ASK YOUR TEACHER PRACTICE ANOTHER
Therefore, the nucleus experiences an acceleration of 1.93 × 10¹¹ m/s² in the positive x-direction, and its displacement after 1.70 s is 1.64 × 10¹¹m in the positive x-direction.
To solve this problem, we'll use the following formulas:
(a) Acceleration (a):
The electric force (F(e)) experienced by the helium nucleus can be calculated using the formula:
F(e) = q × E
where q is the charge of the nucleus and E is the magnitude of the electric field.
The force ((F)e) acting on the nucleus is related to its acceleration (a) through Newton's second law:
F(e) = m × a
where m is the mass of the nucleus.
Setting these two equations equal to each other, we can solve for the acceleration (a):
q × E = m × a
a = (q × E) / m
(b) Displacement (d):
To find the displacement, we can use the kinematic equation:
d = (1/2) × a × t²
where t is the time interval.
Given:
m = 6.64 × 10²⁷ kg
q = 3.20 × 10¹⁹ C
E = 4.00 ×10⁻⁷ N/C
t = 1.70 s
(a) Acceleration (a):
a = (q × E) / m
= (3.20 × 10¹⁹ C ×4.00 × 10⁻⁷ N/C) / (6.64 × 10⁻²⁷ kg)
= 1.93 ×10¹¹ m/s² (in the positive x-direction)
(b) Displacement (d):
d = (1/2) × a × t²
= (1/2) × (1.93 × 10¹¹ m/s²) ×(1.70 s)²
= 1.64 × 10¹¹ m (in the positive x-direction)
Therefore, the nucleus experiences an acceleration of 1.93 × 10¹¹ m/s² in the positive x-direction, and its displacement after 1.70 s is 1.64 × 10¹¹m in the positive x-direction.
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17x + 3 what is the value of x
Answer: Figure it out yourself-
Explanation:
PLEASEEE HELPPP...Balance the following equation: _ Hv2_0v2--> Hv20
(the v is meant to show the following Tasks:
Ideas for uniform circular motion?This is for a physics lab if u can help please do
The time of motion of the satellite is 1.65 hours. The speed of the satellite from the centre of the Earth is 26,945.35 km/h.
What is the time of motion of the satellite?This is the motion of an object in which the object travels in a straight line and its velocity remains constant along that line as it covers equal distances in equal intervals of time, regardless of time duration.
The time of motion of the satellite in hours is calculated as follows;
t = ( 99 min / 1 ) x ( 1 hour / 60 min )
t = 1.65 hours
The speed of the satellite from the centre of the Earth in km/h is calculated as follows;
v = ( 2πr ) / ( t )
where;
r is the distance of the satellite from the centre of the Earth
The position of the satellite above the surface of the Earth = 705 km
The radius of Earth = 6,371 km
The total distance of the satellite from the centre of the Earth = 705 km + 6,371 km = 7,076 km
v = ( 2π x 7076 ) / ( 1.65 )
v = 26,945.35 km/h
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The complete question is attached with the answer below.
if mirror is so rotated through 20° , by what angle reflected ray on mirror rotates???
Answer:
Look at the mirror from the positive axis and suppose the incident ray is at angle at 40 from the y-axis
Incident ray at 50 deg
reflected ray at 130 deg
total angle of deflection = 130 - 50 = 80 deg
Now rotate the mirror by 20 deg
incident ray at 30 deg
reflected ray at 150 deg (angle of incidence must equal angle of reflection)
total angle of deflection = 150 - 30 = 120 deg
the difference between 2 reflected rays = 120 - 80 = 40 deg
So if you increase (decrease) the incident angle the reflected ray will be increased by twice the angle of rotation of the mirror - or the perpendicular to the mirror increases by X degrees the angles of incidence and reflection will each increase by X deg
Light enters air from water. The angle of refraction will be equal to the angle of incidence. greater than the angle of incidence. less than the angle of incidence.
When light enters air from water, the angle of refraction will be greater than the angle of incidence and is denoted as option B.
What is Angle of refraction?This is defined as the angle between a refracted ray and the normal to a refracting surface. Since light entered air from water, the water has the incident ray while the air has the refracted part.
According to Snell's law: n1sinθ1 = n2sinθ2
Refractive index of water = 1.333
Refractive index of air = 1.000293
Since air is denser than water, the angle of refraction will be greater than incidence because most refraction occurs for the transmission of light across a water-air boundary
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a stroboscopic photo of a club hitting a golf ball, was made by Harold Edgerton in 1993. the ball was initially at rest, and the club was shown to be in contact with the ball for about 0.0020 s. Also, the ball was found to end up with a speed of 2.0x10^2 feet per second. Assuming that the golf ball had a mass of 55 g, find the average force exerted by the club on the ball
The average force exerted by the club on the ball is 838,400 N. Force can be characterized by its magnitude, direction, and point of application.
What is a force ?It can be a push or pull, and it can cause an object to start moving, stop moving, or change its direction of motion.
Force is indeed a physical factor that alters or has the potential to alter an object's state at rest or motion as well as its shape. Newton is the SI unit of force.
Finally, the average force exerted by the club on the ball is:
F = I / t = (1676.8 N·s) / (0.0020 s) = 838,400 N
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