Compute the car's weight:
W = m g = (950 kg) (9.8 m/s²) = 9310 N
The net vertical force on the car is
∑ F = N - W = 0
so the normal force has magnitude
N = W = 9310 N
Then the friction force that keeps the car from skidding has magnitude F = µ N, where µ is the coefficient of friction, and it's friction that makes up the net horizontal force on the car. By Newton's second law, we have
F = m a
µ N = m v ² / R
µ (9310 N) = (950 kg) (25 m/s)² / (72 m)
µ ≈ 0.89
Given f(x)=2x+7, which of the following is the value of x when f(x)=13?
Answer:
The value of x is 3
Explanation:
Equation Solving
We are given the equation
f(x) = 2x + 7
Let's find the value of such that f(x) = 13.
2x + 7 = 13
Subtracting 7:
2x = 13 - 7
2x = 6
Dividing by 2:
x = 6/2
x = 3
The value of x is 3
A tennis ball moves 16 meters northward, then 22 meters southward, then 12 meters northward, and finally 32 meters southward.
At what angle in degrees is the first-order maximum for 460-nm wavelength blue light falling on double slits separated by 0.0500 mm?
Answer:
The angle is [tex]\theta = 0.52^o[/tex]
Explanation:
From the question we are told that
The number of order is n = 1
The wavelength is [tex]\lambda = 460 \ nm = 460 *10^{- 9} \ m[/tex]
The separation between the slit is [tex]d = 0.0500 \ mm = 5 *10^{-5} \ m[/tex]
Generally the condition for constructive interference is
[tex]d sin \theta = n * \lambda[/tex]
=> [tex]\theta = sin^{-1}[\frac{n * \lambda }{ d} ][/tex]
=> [tex]\theta = sin^{-1}[\frac{1 * 450 *10^{-9}}{ 5*10^{-5}} ][/tex]
=> [tex]\theta = sin^{-1}[0.009 ][/tex]
=> [tex]\theta = 0.52^o[/tex]
A brick of mass 2.0kg is at rest. It falls to the ground through a
distance of 5.0 m. The acceleration of free fall g is 10 m/s2.
Air resistance can be ignored. At what speed does the brick hit
the ground?
Answer:
I may not have the answer so i'll just give up some hints.
Multiply the time by the acceleration due to gravity to find the velocity when the object hits the ground. If it takes 9.9 seconds for the object to hit the ground, its velocity is (1.01 s)*(9.8 m/s^2), or 9.9 m/s. Choose how long the object is falling. In this example, we will use the time of 8 seconds. Calculate the final free fall speed (just before hitting the ground) with the formula v = v₀ + gt = 0 + 9.80665 * 8 = 78.45 m/s . Find the free fall distance using the equation s = (1/2)gt² = 0.5 * 9.80665 * 8² = 313.8 m .h = 0.5 * 9.8 * (1.5)^2 = 11m. b. V = gt = 9.8 * 1.5 = 14.7m/s. A feather and brick dropped together. Air resistance causes the feather to fall more slowly. If a feather and a brick were dropped together in a vacuum—that is, an area from which all air has been removed—they would fall at the same rate, and hit the ground at the same time.When an object's point is taller the thing that is going down it will go faster than when the point is lower. EXAMPLE: The object is the tennis ball if you drop it down the higher hill it will be faster than if you drop it down a shorter hill. In other words, if two objects are the same size but one is heavier, the heavier one has greater density than the lighter object. Therefore, when both objects are dropped from the same height and at the same time, the heavier object should hit the ground before the lighter one.
I hope my little bit (big you may say) hint help you with your question.
The change of distance with respect to time is defined as speed. Speed is a scalar quantity. The speed of brick while hits the ground is 9.90 m/sec.
What is velocity?The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.
The given data in the problem is
m is the mass of block =2.0 Kg
u is the initial velocity of fall =0 m/sec
h is the distance of fall = 5.0 m
g is the acceleration of free fall =10m/sec²
v is the hitting velocity of brick=?
According to Newton's third equation of motion
[tex]\rm v^2=u^2+2gh\\\\ \rm v^2=2gh\\\\ \rm v= \sqrt{2gh}[/tex]
[tex]\rm v= \sqrt{2\times 9.81 \times 5.0} \\\\ \rm v=9.90\;m/sec[/tex]
Hence the speed of the brick while hits the ground is 9.90 m/sec.
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A mass oscillates on a spring, bouncing up and down 5 times per second. From the highest position to the
lowest position of the mass is a distance of 16 cm.
Answer:
i kinda dnt knw srry wanted the points for the answer
Explanation:
what would the net force be on the box in the problems shown below.( both force and direction).
Answer:
4
Explanation:
The net force on the box a will be 20 N to the left and that on box b is 6 N downwards. The net force on box c is 90 N to the left and that on box d is zero.
What is net force?Force is an external agent acting on a body to change its motion or to deform it. The net force acting on a body depends on all the the forces with their magnitudes and directions.
If two same or different forces acts from the same direction they will add up and net force will be their sum. If they acts from the different directions, they will cancel each other in magnitudes.
In box a, the equal forces of 20 N opposes from each direction cancel and the net force will be 20 N to the left. I box b the 15 N cancel each other. Where the 4N and 2 N add up to have net force of 6 N downwards.
In box c, 10 N from opposite direction cancels and the 60 N and 30 N to the left add ups to have the net force of 90 N to the left. On box d, 5 N from opposite directions cancels as 12 N. Hence, net force is zero.
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The US Patent and Trademark Office is responsible for protecting the intellectual property of inventors. A patent is granted if the idea is original and scientifically valid. A student creates a device that they claim will change the world by changing the way we understand energy. The student includes a table of energy measurements as part of his application.
Answer:
Deny the patent- the machine violates the law of conservation of mass
Explanation:
Took the test
PS Final Exam
What type of friction exists between a moving car's tires and the road?
O rolling friction
O static friction
O sliding friction
Answer:
rolling friction
Explanation:
What does meaningful learning require the learner to do? 1.Relate new knowledge to what is already known 2.Use rote learning strategies to memorize facts 3.Eliminate prior schema 4.Teach others
Answer: I think the answer is A Relate new Knowledge
Explanation:
It kinda just makes sense.
Answer:
A. Relate new knowledge to what is already known
Explanation:
I took the test
Find the mass and weight of a body if a resultant force of 850 N causes its speed to increase from 6 m/s to 15 m/s in a time of 5s.
Hi! Let's see.
TOPIC: Mass and Weight.Explanation:
Data:
Force(F) = 850 NInitial Velocity([tex]\bold{V_{0}}[/tex]) = 6 m/sFinal Velocity([tex]\bold{V_{f}}[/tex]) = 15 m/sTime(t) = 5 sGravity(g) = 9.8 m/s²Mass(m) = ?Weight(w) = ?==================================================================
In order to calculate the mass, we must first find the acceleration.
to find the acceleration, we apply the acceleration formula in UARM:
[tex]\boxed{\boxed{\bold{a=\frac{V_{f}-V_{0}}{t}}}}[/tex]Replace per data:
[tex]\boxed{a=\frac{15\frac{m}{s}-6\frac{m}{s}}{5s}}}}[/tex]We subtract in the numerator:
[tex]\boxed{a=\frac{9\frac{m}{s}}{5s}}}[/tex]It divides:
[tex]\boxed{\bold{a=1.8\frac{m}{s^{2}}}}[/tex]==================================================================
Mass
Knowing it's acceleration, we can proceed to calculate the mass, applying it's formula:
[tex]\boxed{\boxed{\bold{m=\frac{F}{a}}}}[/tex]Replace:
[tex]\boxed{m=\frac{850N}{1.8\frac{m}{s^{2}}}}}}[/tex]Newton equivalents to kilograms:
[tex]\boxed{m=\frac{850kg*\frac{m}{s^{2}}}{1.8\frac{m}{s^{2}}}}}}[/tex]Simplify the m/s²:
[tex]\boxed{m=\frac{850kg}{1.8}}}[/tex]It divides:
[tex]\boxed{\bold{m=472.22\ kg}}[/tex]Answer: The mass of the body is 472.22 kilograms.
==================================================================
Weight
To calculate the weight, we use it's formula:
[tex]\boxed{\boxed{\bold{W=m*g}}}}}[/tex]Replace:
[tex]\boxed{W=472.22*9.8\frac{m}{s^{2}}}}}[/tex]It multiplies:
[tex]\boxed{\bold{W=4627.75\ N}}}}[/tex]Answer: The weight of the body is 4627.75 Newtons.
Final Answer:
Mass = 472.22 kg
Weight = 4627.75 N.
Cordially Alejanndraax. Greetings!
characteristics of projectile motion.
Answer:
Objects experiencing projectile motion have a constant velocity in the horizontal direction and a constantly changing velocity in the vertical direction. The trajectory resulting from this combination always has the shape of a parabola.
Explanation:
What is the correct unit for the following measurement?
Jane wants to know how long her room is.
gm/cm3
liters (L)
cubic centimeters (cm3)
Celsius (°C)
grams (g)
meters (m)
If Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
In the question, we are told that Jane wants to measure her room. This means that Jane wants to measure length. The only unit of length that is mentioned among the options is meters (m).
This means that, if Jane wants to know how long her room is, the correct unit for the measurement is meters (m).
Learn more: https://brainly.com/question/8646601
Answer: meters (m)
Explanation:
calculate for potential energy
Answer:
The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m / s2 at the surface of the earth) and h is the height in meters
For an n- channel JFFT, IDSS = 8 mA, and VP = - 6 V. If VGS = - 2 V. What is the value of the drain current ID?
Answer: the value of the drain current ID is 3.56 mA
Explanation:
Given that;
IDSS = 8 mA
VP(VGS_OFF) = - 6 V.
VGS = - 2 V
value of the drain current ID = ?
Drain current ID is expressed as;
ID = IDSS [ 1 - (VGS/VP(VGS_OFF)) ]²
we substitute our value
ID = 8 [ 1 - (-2 / -6) ]²
ID = 8 [ 1 - 0.3333 ]²
ID = 8 [ 0.6667 ]²
ID = 8 [ 0.4444 ]
ID = 3.5552 ≈ 3.56 mA
Therefore the value of the drain current ID is 3.56 mA
Which is NOT a form of erosion?
a
Rivers moving dirt
b
Water running downhill, carving out the land and pushing dirt to the side
c
Water evaporating and condensing
d
Heavy winds blowing soil to other locations
HELP ASAP
Answer:
water evaporating and condensing, because that's the water cycle and it isnt eroding anything
Explain dispersion of light
[tex]\star\:\:{\sf{\underline{\red{Diagram\:}}}} \\ [/tex]
[tex]\setlength{\unitlength}{1cm} \begin{picture}(1,0) \thicklines\qbezier(0,0)(0,0)(2,2)\qbezier(0,0)(0,0)(4,0)\qbezier(4,0)(2,2)(2,2)\put( - 0.29, 0.45){\line(2,1){1.6}}\put( - 0.29, 0.45){\vector(2, 1){1}}\put(1.2, 1.26){\line(1, 0){1.5}}\put( 1.2, 1.26){\vector(1, 0){0.9}}\put(2.7, 1.26){\line(1, 0){2.5}}\put(2.75,1.25 ){\line(6, -1){2.5}} \put(2.75,1.25 ){\line(5,-2){2.5}} \put(2.75,1.25 ){\line(4,-1){2.5}}\put(2.75,1.25 ){\line(3,-2){2.5}}\put(2.75,1.25 ){\line(5, - 3){2.5}}\put(2.75,1.25 ){\line(5,-4){2.5}}\put(5.5, -1.4 ){\line(0,1){3}}\put(7.2, -1.4 ){\line(0,1){3}} \put(5.7, 1.2 ){ $\bf Red$}\put(5.7, 0.8 ){ $\bf Orange$}\put(5.7, 0.4 ){ $\bf Yellow$}\put(5.7, 0){ $\bf Green$}\put(5.7, - 0.4 ){ $\bf Blue$}\put(5.7, - 0.8){ $\bf
Indigo$}\put(5.7, - 1.2 ){ $\bf Violet $}\end{picture}[/tex]
[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\orange{What \:is\: the\: dispersion\: of \:light\:?\:}}}} \\ [/tex]
Passing of white light through a glass prism which splits into spectrum of colours.Those colours are to be said as VIBGYOR (violet, indigo, blue, green, yellow, orange, red).This process is called as dispersion of light[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\blue{Examples \ of \ dispersion \ of \ light\:}}}} \\ [/tex]
Dewdrops in morning (mostly in winter season)Rainbow FormationCD (compact disc)DiamondOil fuel on road[tex]\\[/tex]
[tex]\star\:\:{\sf{\underline{\purple{Additional\: Information\:}}}} \\ [/tex]
"Dispersion of light" phenomenon is given by Issac Newton.Issac Newton conducted an experiment where he took a glass prism and passed white light rays through it.Violet colour has the highest dispersion of light.Red is the least deviated colour of light.
Help me please..
Suppose a car is moving in a straight line and steadily increases its
speed. It goes from 0 miles/hour to 15 miles/hour the first second and 15
miles/hour to 30 miles/hour the next second. What is the acceleration?
A)10 miles/hour/second
B) 15 miles/hour/second
C) 20 miles/hour/second
D)30 miles/hour/second
One of two 25-year-old identical twins begins a trip on a spaceship traveling at 0.8 c while her twin remains on Earth. The twin on Earth tracks her twin's trip for 10 years. After ten years, what age is the twin on the spaceship according to the twin on Earth?
a. 41.7 years old.
b. 35 years old.
c. 31 years old.
d. 37.5 years old.
PLEASE HURRYYYYY!!
Two figure skaters skate toward each other then push of each other's hands sending them spinning in the opposite direction opposite. Which one of Newton's laws is this
A 1st
B 2nd
C 3rd
D 4th
Answer:1st
Explanation:and object in motion stays in motion unless acted upon by another object
Two figure skaters skate toward each other then push of each other's hands sending them spinning in the opposite direction opposite; - This is Newton's 3rd law of motion. Hence, option (C) is correct.
What is Newton's third law of motion?Newton's third law states that if object A exerts a force on object B, then object B must apply a force to object A that is equal in magnitude and directed in the opposite direction.
This law illustrates a symmetry in nature whereby forces always occur in pairs and whereby no body can exert a force without also being subjected to one.
When two figure skaters skate toward each other then push of each other's hands, they applied force on each other. As according to Newton's third law of motion every action has equal and opposite reaction, they moves the opposite direction opposite.
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A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward.
Complete question is;
A cross-country skier moves 36 meters eastward, then 44 meters westward, and finally 22 meters eastward. What's the Magnitude and Direction?
Answer:
Magnitude = 14 m
Direction = eastward
Explanation:
The magnitude and direction of this cross-country skier will be the gotten from his displacement.
Now, from directions of 4 cardinal points, we can say that the eastward direction is on the positive x-axis and is positive while the westward direction is on the negative x-axis and is negative.
From those positive and negative signs above, we can represent the movement of the skier as;
moves 36 meters eastward = 36 m
moves 44meters westward = -44 m
Moves finally 22 meters eastward = 22
Thus, displacement will be:
36 - 44 + 22 = 14
It is positive, and thus, the magnitude is 14 and the direction is east ward.
A train moving with a speed of 20.9 m/s sounds a 103 Hz horn. What frequency is heard by an observer standing near the tracks as the train approaches
Answer:
observed frequency = 109.68 Hz
Explanation:
given data
speed u = 20.9 m/s
frequency f = 103 Hz
solution
we consider here speed of sound (v) is 343 m/s
so observed frequency is express as
observed frequency = f × [tex]\frac{v}{v-u}[/tex] ...............1
put here value and we get
observed frequency = 103 × \frac{343}{343-20.9}
observed frequency = 109.68 Hz
The periodic table is an arrangment of the chemical elements, ordered by atomic number, into families, and by doing so illustrates the periodic properties of the elements. If we review the elements found in the second column of the periodic table, the alkali earth metals, we know one characteristic common to all elements in this family, besides being metals, is that they are
Answer:
Solid at room temperature
Explanation
Since these elements are metals they must be said at room temperature
A ping pong ball of mass 0.0027 kg and radius 0.020 m is completely submerged 0.3 m in water. How fast is it moving when it emerges from the water?
Answer:
The value speed is [tex]v = 8.192 \ m/s[/tex]
Explanation:
From the question we are told that
The mass of the ping pong ball is [tex]m = 0.0027 \ kg[/tex]
The radius is [tex]r = 0.020 \ m[/tex]
The depth of the ping pong inside the water is [tex]s = 0.3 \ m[/tex]
Gnerally the force with which the ball will emerge will from the water is mathematically represented as
[tex]F = B - m g[/tex]
Here B is the Buoyant force on the ball which is mathematically represented as
[tex]B = \rho_w * V_b * g[/tex]
Here [tex]V_b[/tex] is the volume of the ball which is mathematically represented as
[tex]V_b = \frac{4}{3} * \pi * r^3[/tex]
=> [tex]V_b = \frac{4}{3} * 3.142 * 0.020 ^3[/tex]
=> [tex]V_b = 3.35*10^{-5} \ m^3[/tex]
[tex]\rho_w[/tex] is the density of water with value [tex]\rho_w = 1000 \ kg/m^3[/tex]
So
[tex]B = 1000 * 3.35*10^{-5} * 9.8[/tex]
=> [tex]B = 0.3284 \ N[/tex]
So
[tex]F = 0.3284 - 0.0027 * 9.8[/tex]
=> [tex]F = 0.3284 - 0.02646[/tex]
=> [tex]F = 0.3020 \ N[/tex]
Generally force is mathematically represented as
[tex]F = m * a[/tex]
So
[tex]0.3020 = 0.0027 * a[/tex]
=> [tex]a = 111.84 \ m/s^2[/tex]
Generally from kinematic equation
[tex]v^2 = u^2 + 2as[/tex]
Here u is the velocity of the ping pong at depth of 0.3 m and the value is zero given that at that point there was no motion
So
[tex]v^2 = 0^2 + 2 * 111. 84 * 0.3[/tex]
=> [tex]v = 8.192 \ m/s[/tex]
The compound formed from the elements calcium and chlorine is known as
Answer:
calcium chloride
Explanation:
an inorganic compound,a salt with the chemical formula CaCl2
5. A car is sitting on top of a hill. It is 7500 kg. The hill is 100m high. how much potential
energy does the car have?
O A. 0.01 J
O B.75J
O C.7,350,000 u
D37,500,000 J
Answer: B.75J
Explanation:
Please help!!
A person is driving in a circle at 20m/s. Are they accelerating?
A torque acting on an object tends to produce..
Answer:rotation
Explanation:
What causes a compass needle to point to geographic north?
a. The force of Earth's rotation causes the needle of the compass to seek the north pole.
b. The pole of the compass is attracted to Earth's Geographic North Pole.
Selected:c. The compass needle aligns with Earth's magnetic field.
d. all of the answer choices are correct
Drag each label to the correct location on the chart.
Sort the items based on whether they are simple machines or compound machines.
Answer:
whatttttttttttttttttttttttttttt are the items we have to classify into simple machines and compound machine
Ultrasound is:
a
of lower frequency than the human ear can detect.
b
the speed at which the latest, top-secret jet aircraft fly.
c
used to make internal images of the human body.
d
extremely painful to the human ear.
Answer:
C
Explanation:
not A as those are frequency higher than what human can hear
b is a joke