The magnitude of electric field is 28.225 N/C.
What is electric field?
Electric field is the ratio of the force by the charge whose direction depends on the electric force.
The magnitude of the electric field can be calculated as,
The initial momentum p1 = 1.2 x 10^-23 Kg m/s
The final momentum p2 = 4.0 x 10^-23 kg m/s.
Mass = 1.67 x 10^-27 kg.
Initial speed of proton (p1) = mu
u = p1 / m = (1.2 x 10^-23 kg m/s) / (1.67 x 10^-27 kg) = 7185.62 m/s.
Speed of proton p2,
v = p2 / m = (4.0 x 10^-23 kg m/s) / (1.67 x 10^-27 kg) = 23952.09 m/s.
Acceleration a = v -u / t
a = (23952.09 m/s - 7185.62 m/s) / 6.2 x 10^-6 s = 2704.26 x 10^6 m/s^2
E = ma / q
E = (1.67 x 10^-27 kg) (2704.26 x 10^6 m/s^2) / 1.6 x 10^-19 C
E = 2822.56 x 10^-2 N/C = 28.225 N/C
Therefore, the magnitude of electric field is 28.225 N/C.
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Match the terms to the def
Answer:
1.) Cation
2.) Ion
3.) Anion
Explanation:
Spiderman uses his spider webs to save a runaway train moving about 80km/h , (Figure 1) . His web stretches a few city blocks (500m ) before the 104-kg train comes to a stop.
Assuming the web acts like a spring, estimate the effective spring constant.
Express your answer to one significant figure and include the appropriate units.
The effective spring constant for the web, which behaves like a spring, is 20N/m
The speed of the train is,
v=80 km/h
= 80 km/h(1000m/1km)(1h/3600s)
=22.2 m/s
From the law of conservation of energy, the initial kinetic energy of the train should be converted to the elastic potential energy of the web before stopping the train.
[tex]K_{train} = U_{web}[/tex]
1/2 * m * v² = 1/2 * k * x ²
k = (m * v ²)/(x ²)
= ((10⁴kg) * (22.2m / s) ²)/((500m) ²)
= 19.7N / m = 20N / m
One of the four temperate seasons, commonly referred to as spring or springtime, spring follows winter and comes before summer. There are several technical definitions of spring, but how the term is used locally depends on the local climate, culture, and customs. Autumn occurs in the Southern Hemisphere when spring does in the Northern Hemisphere, and vice versa.
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a car is on a circular off ramp of an interstate and is traveling at exactly 25 mph around the curve. does the car have velocity?
Yes, the car has velocity which is perpendicular to the radius of the curve.
Velocity is nothing but quantity that designates how fast and in what direction a point is moving. A point always moves in a direction that is tangent to its path; for a circular path, for example, its direction at any instant is perpendicular to a line from the point to the center of the circle.
Here, the car is traveling at 25 mph around the curve, so it has a tangential velocity. Also, the tangential velocity is constantly changing in direction so the car can go to curve and not moving forward in a straight line, there should be a centripetal force acting and the velocity is perpendicular to the radius.
A centripetal force is a force that makes a body follow a curved path. Its direction is always orthogonal to the motion of the body.
hence the car is having velocity which is perpendicular to the radius of the curve.
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What is the frequency of a wave with a wavelength of 200?.
The wave's frequency, f=0.5Hz or 1/s, should be regarded as the waves with a wavelength = 200 cm.
What then is the wavelength?Wavelength is the separation between corresponding points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire. In wireless systems, the length is typically expressed in meters (m), centimeters (cm), or millimeters (mm).
Since the wavelength is 200 cm or 2m
Also we know that
frequency is reciprocal of wavelength
So,
f=1/2
f=0.5Hz
What role does wavelength play?The wavelength is a crucial characteristic since it governs the nature of the light. Green light spectrum that is distinct from both of them, while red light has a wavelength that is distinct from both blue and green light.
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A crate of mass 10.0 kg is pulled up a rough incline with an initial speed of 1.50 m/s. The pulling force is 100 N parallel to the incline, which makes an angle of 17.5∘ with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 5.55 m.a) How much work is done by gravity?b) What is the change in kinetic energy of the crate?c) What is the speed of the crate after being pulled 5.55 m?
The work done by gravity= 163.17 J, change in kinetic energy=186.2J, the final velocity=93.67m/s
define kinetic energy ?
In physics, an object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes. The body does the same amount of work while slowing down from its current pace to rest. Formally, kinetic energy is any term in a system's Lagrangian that contains a time derivative.
a) work done by the gravity was
w=mg x (5.55) sin 17.5
=10x9.8x5.55x0.300
=543.9x0.300
=163.17 J
therefore the work done by gravity was 163.7 J
b)change in kinetic energy
Δu=(0.4)x(10)x(9.8)x(cos17.5)x(0.005)
=0.4x10x9.8xcos17.5x0.005
=0.4x10x9.8x0.95x0.005
Δu=186.2 J
c) speed of the cart after being pulled by the crate was
mass of the crate=10kg
initial speed=1.50
force=100 N
coeff. kinetic energy=0.4
distance=5.55m
frictional force N=mgcosФ
=0.4x10x9.8xcos17.5
=8.58
effective force = (100-8.58)
=91.42
acceleration=91.42/10
=9.142
the final velocity=u^2+2as
=1.5^2+2 (9.142)5
2.25 +2(45.71)
2.25+91.42
=93.67
therefore the final velocity=93.6m/s
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how does the solar nebula theory explain the significant density difference between the terrestrial and jovian planets? (select all that apply.) the increased angular momentum of the outer planets caused them to contract into more dense objects. the gravity of the sun pulled all gases away from the inner planets, but did not reach the outer planets, leaving them with less dense material. jovian planets started out with solid material as well, and were far enough from the sun for a layer of ice to form, after which they became massive enough to capture slower-moving gases. the large gravitational pull of the forming outer planets caused them to be bombarded by high-density comets, asteroids, and planetesimals. terrestrial planets formed from solid material that condensed out of the solar nebula close to the sun, where it was too hot for them to capture gases.
Only dense materials might condense during the formation of terrestrial planets; this is not the case with jovian planets.
The ones that couldn't condense dense materials are huge and gaseous and found further from the star, which is why they are rocky and smaller.
The main distinction is that while Jovian planets are predominantly formed of less dense hydrogen and helium, terrestrial planets are primarily made of rock, which is even more dense.
The density of a planet depends on its make-up. In contrast to the four outer planets, the four inner terrestrial planets are denser. Rock that is hard and thick makes up the majority of the inner planets. Since gas makes up the majority of the outer planets, their total density is lower.
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Suppose we see evidence of helium gas in the atmosphere of an exoplanet. What must be true about this planet?.
Suppose we see evidence of helium gas in the atmosphere of an exoplanet, the true statements is A."it has more surface gravity than Earth, or is much colder"
What is an exoplanet?An exoplanet, also known as an extrasolar planet, is a planet that exists outside of the Solar System. The first possible evidence of an exoplanet was discovered in 1917, but it was not recognized. The first detection confirmation occurred in 1992. A different planet, first discovered in 1988, was confirmed in 2003.
Similarly to how we continue to explore the unknowns of the world in search of resources to meet our needs, research into new materials and species will all benefit the most common problems we face, such as energy resources, medical needs, and cures for incurable diseases.
Before we knew about exoplanets, we spent all of our research time learning about our own solar system and how the planets formed. Exoplanet observations allow us to determine whether or not we actually understand those processes, even in our own solar system.
It is important to know that once helium is released into the atmosphere, it typically rises till it escapes into the space. In this situation, it illustrates that exoplanet will have more surface gravity.
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_____ braking is when you squeeze the brake pedal until just before the wheels lock, then ease off the pedal, then squeeze again, repeating until you've reduced your speed enough.
Threshold braking is when you squeeze the brake pedal until just before the wheels lock then ease off the pedal then squeeze again repeating until you've reduced your speed enough.
Push to lower the nose of the car, push more if needed, and loosen towards the end of the stop. The point is that the transition is slowly pushed down and slowly released upwards. To stop faster, we all do the same thing just a little bit faster.
Limit braking or limit braking is the most commonly used driving technique in motorsports but it is also practiced in road vehicles to use the brakes to slow the vehicle to the maximum possible extent. Progressive braking is a method of using variable braking force to slow the car down at the onset of light braking increase braking force to slow the car and then stop braking lightly.
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Answer: The answer options are A Traditional B ABS C Power D Threshold. The correct answer is Threshold braking
how can worlds like triton and pluto have atmospheres when a larger world such as ganymede has none?
How far does an object fall down after 2 seconds if it is initially at rest?.
Answer:
19.6 m
Explanation:
Start with the physics distance formula
df = do + vo t + 1/2 a t^2
do = original position = 0 vo = origianl velocity = 0 (starts at rest)
so this becomes d = 1/2 a t^2
= 1/2 ( 9.81 m/s^2) (2 s)^2 = 19.6 m
a cork on the surface of a pond bobs up and down two times per second on ripples having a wavelength of 7.90 cm. if the cork is 13.5 m from shore, how long does it take a ripple passing the cork to reach the shore?
The time taken for the cork to reach the shore is 85.44 s.
What is the wave's fundamental formula?Write down the wave function as y(x,t)=Asin(kxt+) to determine a sinusoidal wave's amplitude, wavelength, period, and frequency. The equation itself can be used to read the amplitude, which equals A. The angular frequency (T=2) can be used to calculate the wave's period.
Calculation:Frequency of oscillation, f = 2hz
Wavelength of oscillation, λ = 7.90 cm
Distance of the cork from the shore, d = 13.5 cm
The speed of wave is:v = f × λ
v = 2 × 0.079
v = 0.158 m/s
Time taken by the cork to reached the shore is:time = distance / speed
time = 13.50 / 0.158
time = 85.44 s
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a block of mass 1/2 kg, attached to the end of a spring whose force constant is 18 n/m, is undergoing simple harmonic motion with an amplitude of 4 cm. what is the frequency of the oscillations? g
The frequency is given by f = (1/(2))k/m.
While moving in the opposite direction, the acceleration, a = -2x, is proportional to the displacement. Motion that is accelerated is simple harmonic motion. If an item moves in a simple harmonic manner, a force must be exerted on it. F = ma = -m2x is the formula for force.
A basic definition of amplitude, what is it?The greatest displacement or distance that a point on a wave or vibrating body may travel in relation to its equilibrium position It is equivalent to the length of the vibration path divided in half.
What exactly is a wave's amplitude?The height of a wave's crest or trough measured from the center line (or the stationary position) is known as the amplitude ().
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if three identical lamps are connected in parallel and the combined resistance 150 ohm; find the resistance of one lamp. Ans. 450 ohms
Answer:
[tex]\huge\boxed{\sf R = 50\ ohms}[/tex]
Explanation:
Given Data:Equivalent Resistance = [tex]R_T[/tex] = 150 Ohm
Required:Resistance of one lamp = R = ?
Formula:[tex]R_T[/tex] = R + R + R
Solution:150 = 3R
Divide 3 to both sides
50 ohms = R
R = 50 ohms
[tex]\rule[225]{225}{2}[/tex]
now, consider for the remaining parts of the question below that both shells are fired at an angle greater than 45 degrees with respect to the horizontal. remember that enemy ship a is closer than enemy ship b.
The response of "A shell being fired at the bigger angle" fits the supplied statement.
What does "angle" mean?In plane geometry, an angle is a shape made up of two directions or lines that share an endpoint. The English word "angle" derives from the Latin language "angulus," which means "corner." The vertex and the 2 rays are referenced to as the sides of an angle, respectively, and are the shared termini of two rays.
What names do angles have?Angle names can be given in one of three ways. An angle can be identified through its vertex, by its three points (the vertex must be the middle point), or by a sequence of letters inscribed within the angle's aperture.
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blood is pumped from the heart at a rate of 5.26 l/min into the aorta (of radius 1.19 cm). determine the speed of blood (in cm/s) through the aorta.
Speed of blood through the aorta of radius 1.19 cm is 20 cm/s
The explanation of the answer is attached below.
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What is the frequency of green light 6 x 10 14?.
The frequency of green light is 6 x 10¹⁴ Hz then its wavelength will be 500nm.
The frequency of a repeated event is its number of instances per unit of time. In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively.
As we know,
Speed of light = Frequency × wavelength
Speed of light (c)=3×10⁸ m/s
Frequency (f)=6×10¹⁴ Hz(Given)
Wavelength (λ)=?
Therefore,
λ= f × c
λ = 6×10¹⁴× 3×10 ⁸
λ = 0.5×10⁻⁷
λ = 500nm
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a simple pendulum is used as the timing element in a clock as shown. an adjustment screw is used to make the pendulum shorter (longer) by moving the weight up (down) along the shaft that connects it to the pivot. 1)if the clock is running too fast, the weight needs to be moved
If the clock is running too fast, the weight needs to be moved down in order to increase the period and decrease the angular frequency, option B.
What will the period be when pendulum is pivoting about the center mass?For small maximum distance moved by a point or wave measured from it equilibrium position, the period of a physical pendulum depends only on the immobility of the body around the pivot point and the distance from the center of mass of the body.
To slow down a fast clock in this experiment, the weight is moved down which increases at the distance between the pivot and the center mass (period) and decreases the angular velocity/frequency.
The complete question is:
A simple pendulum is used as the timing element in a clock as shown. an adjustment screw is used to make the pendulum shorter (longer) by moving the weight up (down) along the shaft that connects it to the pivot.
1)if the clock is running too fast, the weight needs to be moved
a. Up
b. Down
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using a pencil draw a line on the sea floor to show where new ocean crust and lithosphere is forming now (zero millions of years old). using your knowledge of boundary types, label the segments of your line that are juan de fuca ridge and gorda ridge (divergent plate boundaries). then label the segments of your pencil line that are transform fault plate boundaries. add half arrows to the transform fault boundaries to show the relative motion of the rocks.
Fault lines, also known as geological faults, are fractures in the rock blocks that make up the earth's surface, causing them to suffer relative displacements in their structures. These fractures are almost always formed by the action of internal relief agents and can manifest both in areas under strong tectonism and in more stable regions.
In other words, we can say that the fault lines are the crust of the lithosphere that fractured along the plate boundaries and grooves.
Oceanic lithosphere is destroyed at “Convergent Boundaries
Convergent boundaries are places where two tectonic plates meet each other.
The crust is the outermost layer of the earth. It is divided into many plates that move over the mantle.
These plates are limited by three types of ridges or borders that differ in the movement they produce.
Therefore, lithosphere occur at convergent boundaries where oceanic plate moves and is forced to sink due to the high gravitational energy into the mantle and also because the oceanic plate has density this zones usually have high volcanism and earthquake.
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An enclosed chamber with sound absorbing walls has a 2.0 m × 1.0 m opening for an outsidewindow. A loudspeaker is located outdoors,, 78 m away and facing the window. The intensity level ofthe sound entering the window space from the loudspeaker is 79 dB. Assume the acoustic output of theloudspeaker is uniform in all directions and that the acoustic energy incident upon the ground iscompletely absorbed and therefore is not reflected into the window. The threshold of hearing is 1.0 × 10-12 W/m2. The acoustic power entering through the window space is closest to?A) 160 ?W.B) 79 ?W.C) 320 ?W.D) 790 ?W.E) 1600 ?W.
The window space has an acoustic power of 160 or less. The quantity of energy that is transported or transformed through time is referred to as power in physics
What exactly do the terms "force" and "power" mean?Force is the principal result of an interaction between two things, whereas power is a measurement of energy consumed over time (energy), of which force is a component. Power and push can both be measured and expressed, but only a force is a true physical phenomenon.
what is Power definition and types?The capacity to influence your surroundings is referred to as personal power. Reward power, coercive, legal power, formal authority, and referent power are the five categories of power that can be used to achieve this.
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What factors does the speed of sound depend upon? what are some factors that it does not depend upon?.
The speed of the sound depends on the density and the elasticity of the medium through which it travels.
What factors does the speed of sound depend upon ?Medium pressure and temperature Sound waves move more quickly at higher temperatures because molecular vibrations happen more frequently there. At constant temperature, the pressure of a medium has no effect on the sound's speed.
The density and elasticity of the medium through which sound travels affect how fast it travels. In general, sound moves more quickly through solids and gases than through liquids. Sound travels through a medium more quickly the more elastic it is and the less dense it is.
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You stand in front of a mirror. How tall does the mirror have to be so that you can see yourself entirely?a. same as your heightb. less than your full height but more than half your heightc. half your heightd. less than half your heighte. any size will do
In other words, you need as much mirror as your height to see a reflection of yourself in a flat mirror. A correctly positioned 3 foot-long mirror is required for a 6 foot-tall guy to see his whole reflection.
What is mirror?
A thing that reflects images is a mirror as well as looking glass. When focused through an eye or camera lens, light that reflects off a mirror will reveal an image of what is in front of it. Mirrors reflect light from an equal but opposite angle, reversing the direction of the image. This enables the viewer to see themselves, objects behind them, and even objects that are in their line of sight but out of it, like objects that are around a corner, but are at an angle from them. Natural mirrors have been around since the beginning of time, such as the water's surface, but for thousands of years, people have been making mirrors from a variety of materials, including stone, metals, and glass.
Ray diagrams were explained and demonstrated for use. The location along a mirror that a person must look in order to see an image of themselves can be determined using ray diagrams. So it is possible to utilize ray diagrams to calculate what area of a plane mirror must be used in order to display an image.
The mirror must be at least half your height in size in order to show your entire image. It really is that easy mirror.
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a beam of monochromatic light is diffracted by a slit of width 0.630 mm. the diffraction pattern forms on a wall 1.26 m beyond the slit. the width of the central maximum is 2.05 mm. calculate the wavelength of the light. nm
The Wavelength of light is D=2.06m.
A slit with a width of 0 point 630 mm diffracts a monochromatic light beam. 1 point 26 meters away from the slit, a wall develops a diffraction pattern. The central maximum measures 2 point 05 millimeters in width.
To find the wavelength of the light consider following points-
d=0.450mm=0.450×10⁻³m.
D=2.06m.
Reasoning -
The first dark fringe from the central bright fringe is where there is zero intensity on either side of it. The separation of the two zero intensities on either side of the bright central fringe is 4 points and 50 millimeters.The wavefront on the other side of the opening resembles the wave when light passes through a small opening that is comparable in size to the light's wavelength. And elaborate on light diffraction and the phenomenon known as single slit diffraction, which occurs when light passes through a single slit. When light passes through a single slit whose width (w) is on the order of the light's wavelength, we can observe single slit diffraction. The diffraction pattern on the screen will be L >> w away from the slit. Angle influences the intensity.To know more about single slit diffraction-
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What would happen to the pressure as the volume approaches zero?.
Very accurate measurements over a wide range of pressure have been made for large number of real gases.
The product of P cross product with V is not constant for any gases.
The real gases the dependence shows the deviation in partial pressures of individual gas molecules and azeotropes.
The curves extrapolated with compressibility factor with the constant product for some gases if pressures are very low.
[tex]\alpha =\frac{Pv}{RT}\\ \\\alpha =\left \{ {{1 - ideal} \atop {\neq 1-real}} \right.[/tex]
From Charles law the volume approaching to zero means pressure attaining infinite value. The compressibility factor is an index of deviation from ideality.
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Two children having a disagreement pull on a sled in opposite directions. One pulls with a force of 200 n east, the other with a force of 175 n west. A friction force of 10 n exists between the sled and the surface. Determine the net force on the sled.
The net force on the sled which is pulled by the tooth children is 14 Newton in the east direction.
Two children are pulling the sled in opposite direction because of the disagreement.
One of the child is pulling the sled with a force of 200 Newton in the east direction and the other is pulling the sled with the force of 175 Newton in the West direction and affection force of 10 Newton is existing between the slid and the surface.
The net force on the slide can be given by,
F = 200-150-10
F = 40N
So, the net force on the slide is 40 Newton in the east direction.
Here. we directly subtracted the force because the direction of the forces was opposite of each other and the friction also acts in the direction opposite of the motion of the object.
So, the net force on the sled is 40 Newton.
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A child is on a playground they start to slide down a large slide. At what point is the child in dynamic equilibrium with the slide?(1 point) responses when the child pushes themselves down the slides. When the child pushes themselves down the slides. As the child is in motion as they are sliding down. As the child is in motion as they are sliding down. When the slide ends and the child has stopped moving. When the slide ends and the child has stopped moving. The child will not reach dynamic equilibrium.
When two surfaces glide past one another, a force known as friction is created.Friction forces that oppose the motion of moving objects cause them to expend energy and slow down.
What is the role of sliding friction in the movement?An object rolls on a surface, creating rolling friction. When two surfaces rub against one another, sliding friction occurs. The deformation of surfaces causes rolling friction. Because tiny surfaces connect, sliding friction occurs.
Therefore, When the child pushes themselves down the slides. As the child is in motion as they are sliding down.
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Answer:When the child pushes themselves down the slides.
Explanation: i think im not sure
if it can span 300 ft and has a sag of 15 ft , determine the length of the cable. the ends of the cable are supported at the same elevation.
The length of the cable, 3000 ft
How to determine the length of the cable?Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.we know,
[tex]y=\frac{4h}{l^{2} } x(l-x)[/tex]
where,
h, maximum height= 15 ft
l= span = 300 ft
Therefore,
[tex]y=\frac{4h}{l^{2} } x(l-x)[/tex]
[tex]y=\frac{4*15}{300^{2} } x(300-x)[/tex]
[tex]\int\limits {y} =\int\limits^3_0 {\frac{4*15}{300^{2} } x(300-x)} \, dx[/tex]
Therefore, The length of the cable, 3000 ft.
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consider the four scenarios involving visible light. in scenario a, visible light has a wavelength of 690.4 nm. determine its frequency, energy per photon, and color.
In scenario a, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
v = ν λ
v = Wave speed
λ = Wavelength
ν = Frequency
λ = 690.4 nm
Since the wave considered here is visible light,
v = c = 3 * 10⁸ m / s
ν = v / λ
ν = 3 * 10⁸ / 690.4 * 10⁻⁹ m
ν = 434.53 * 10¹² Hz
ν = 434.53 THz
E = h ν
E = Energy
h = Planck's constant
ν = Frequency
h = 6.626 * 10⁻³⁴ J s
E = 6.626 * 10⁻³⁴ * 434.53 * 10¹²
E = 2879.19 * 10²² J
E = 28.79 * 10²⁴ J
E = 28.79 YJ
Therefore, if visible light has a wavelength of 690.4 nm, its frequency is 434.53 THz, its energy per photon is 28.79 YJ and its color is red.
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suppose the electric field between two points separated by 4 meters is 14 volt/m. what is the electric potential (in volt) between the two points?
Assume that the electric field between two points that are 4 meters apart has a 14 volt/m potential. The electric potential between the two points is 460 w (in volts).
V =Er
= 67 X 13
V =871 volts
I =q/t=8/2
I=4 Amp
P=VI
230 X 2
P=460 W
A unit of electric charge must be moved from a reference point to a specific point in an electric field, and this amount of work energy is known as the electric potential. Against an electric field, the amount of work required to move a unit charge from one point to another is known as electric potential. Although any location outside the range of the electric field charge can be used, Earth is typically used as the reference point. The external effort required to move a charge from one location to another in an electric field is known as an electric potential difference, or voltage. A test charge that has an electric potential difference of +1 will experience a change in potential energy.
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A sports car is accelerating up a hill that rises 21.7 ° above the horizontal. The coefficient of static friction between the wheels and the road is μs = 0.880. It is the static frictional force that propels the car forward. (a) What is the magnitude of the maximum acceleration that the car can have? (b) What is the magnitude of the maximum acceleration if the car is being driven down the hill? I set up my fbd with the static frictional force acting in the -x direction, the normal force acting perpedicular to the inclined plane, and the weight acting in the -y direction. Without knowing the weight of the car or if it is at a constant velocity, I'm not sure how to go about setting up this problem.
The maximum acceleration that the car can have is 11.17 m/s² and the maximum acceleration the car can have while driving downhill 5.4 m/s².
(a) Mass of the car = m
Acceleration due to gravity = g
Angle of inclination = θ = 21.7°
Acceleration of the car = a
Coefficient of static friction = μ = 0.880
Force pushing the hill is the maximum static force = μ×m×g×cosθ
Force down the hill = m×g×sinθ
Total force = m × a
Thus, equating all the force,
= m × a = (μ×m×g×cosθ) - (m×g×sinθ)
= a = [(μ×m×g×cosθ) - (m×g×sinθ) ] / m
= a = (μ×g×cosθ) - (g×sinθ)
= a = g × [(μ×cosθ) - (sinθ)]
= a = 9.8 × [ (0.88 × cos 21.7) - (sin 21.7)]
= a = 9.8 × [ (0.88 × - 0.96) - 0.29 ]
= a = 11.17 m/s²
(b) While going down the hill, gravity and friction act in the same direction:
Thus, equating all the force,
= m × a = (μ×m×g×cosθ) + (m×g×sinθ)
= a = [(μ×m×g×cosθ) + (m×g×sinθ) ] / m
= a = (μ×g×cosθ) + (g×sinθ)
= a = g × [(μ×cosθ) + (sinθ)]
= a = - 5.4 m/s²
The sign is negative as the car is going downhill.
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What effect does distance have on the force of gravity? (2 points) Group of answer choices Increasing the distance between two objects increases the gravitational force. Decreasing the distance between two objects decreases the gravitational force. Increasing the distance between two objects decreases the gravitational force. Distance is not a factor in determining the force of gravity.
The effect that distance has on the force of gravity is that increasing the distance between two objects decreases the gravitational force and is denoted as option C.
What is Gravity?This is a term which is referred to as the universal force of attraction acting between all matter and the formula is F = Gm1m2/r² .
The force of gravity has an inverse relationship with the distance of the objects. This therefore means that increasing the distance between two objects decreases the gravitational force and vice versa which is therefore the reason why option C was chosen as the correct choice.
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