Answer:
[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]
Explanation:
To find the equation of the wave you use the general equation for a wave, given by:
[tex]f(x)=Acos(k x-\omega t)[/tex]
A: amplitude of the wave = 0.075m
k: wave number
you select a cosine function because for x=0 and t= 0 you get a maximum displacement.
To find the displacement of the wave for x=0 you can consider that the form of the wave is independent of time t.
Then, you calculate k:
[tex]k=\frac{\omega}{v}=\frac{2\pi f}{v}[/tex]
Thus, you need the value of the speed of the wave (you only have the frequency f), in order to calculate f(x), for x=3.00m:
[tex]f(x=3.00m)=0.075mcos(\frac{2\pi(2.00Hz)}{v}(3.00m))[/tex]
) Consider a beam of light traveling from a medium with a low index of refraction n1 to a new medium with a higher index of refraction n2. Use Snell’s Law to explain why total internal reflection will never occur in this situation, regardless of the choice of the incident angle.
Answer:
Snell's law says that
n1*sin(a1) = n2*sin(a2)
n1 < n2
son n2/n1 > 1
then:
sin(a1) = (n2/n1)sin(a2)
the maximum possible value of sin(x) is 1 when x =90°
total internal reflection means that a2= 90°
but as the coefficient that is multiplying sin(a2) is bigger than 1, we can not have a2 = 90°, because the right side will be greater than 1 and the left side can not be bigger than 1, so we can not have a2 = 90°, so we can not have total internal reflection
The maximum possible value of sin(x) is 1 when x =90°total internal reflection means that a2= 90°.
What is snell's law?Snell's law asserts that the ratio of the sines of the angle of incidence 1 and angle of refraction 2 for a given set of media is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, the refractive indices (n2 / n1).
If n1*sin(a1) = n2*sin(a2) and n1 n2 son n2/n1 > 1 according to Snell's law, then:
(n2/n1)sin = sin(a1) (a2)
When x =90°, the maximum feasible value of sin(x) is 1.
Total internal reflection indicates a2=90°, but because the coefficient multiplying sin(a2) is more than 1, we can't have a2 = 90° because the right side will be greater than 1 and the left side will be smaller than 1, therefore we can't have a2 = 90°. so we dont have total reflection.
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I need some help!!!!!!!!!
Answer:
The Object will immediately begin moving toward the left
Explanation:
Because the force of thirteen is greater than ten and applied to the opposite side
Alan leaves Los Angeles at 8:00 A.M. to drive to San Francisco 400 mi away. He manages to travel at a steady 50 mph in spite of traffic. Beth leaves Los Angeles at 9:00 A.M. and surprisingly manages to also drive at a constant speed, in this case 60 mph. (Knight 2.1) a. Who gets to San Francisco first? (Beth) b. How long does the first to arrive have to wait for the second? (20 minutes)
Answer:
a) Beth will reach before Alan
b)Beth has to wait 20 min for Alan to arrive
Explanation:
let 'd' be distance b/w Los Angeles and San Francisco i.e 400 mi
considering ,
Alan's speed [tex]v_A[/tex]=50mph
Beth's speed [tex]v_B[/tex]=60mph
->For Alan:
The time required [tex]t_A[/tex]= d/[tex]v_A[/tex]= 400/50 => 8h
-> For beth:
The time required [tex]t_B=\frac{d}{v_B} =\frac{400}{60} =>6\frac{2}{3} h[/tex] => 6h 40m
Alan will reach at 8:00 a.m +8h = 4:00p.m.
Beth will reach at 9:00 a.m +6h 40m= 3:40p.m.
a) Beth will reach before Alan
b)Beth has to wait 20 min for Alan to arrive
When a star explodes as a supernova, the expanding gas can pass through the interstellar medium triggering...
A.) an increase in variable star activity
B.) formation of new stars
C.) life to develop
D.) additional supernovas
B. Formation of new stars
I need help plz help me out 10 points!!!!!!!
Answer:
The answer is diffraction
Explanation:
Answer:
The answer is diffraction
Explanation:
I did the test! HOPE THIS HELPS!
When the early universe cooled enough for atoms to form, _____ began.
A. dark energy
B. the Big Bang
C. nucleosynthesis
D. the cosmic microwave background radiation
Answer:
B. the Big Bang
Explanation:
Answer:
When the early universe cooled enough for atoms to form, Nucleosynthesis began.
hope it helps!
A potato and raisins salad has been warmed up to a temperature of 80∘C and let it stand for three minutes. Then one tries a bite. 1) Would the potatoes and raisins be equally warm? Potatoes have a specific heat of 3430 J/(kg⋅∘C). Raisins have a specific heat of 1630 J/(kg⋅∘C).
Answer:
No. Potatoes will be warmer.
Explanation:
[tex]Q=m\times c\times \Delta T[/tex]
where,
Q = heat taken
m = mass of substance
c = specific heat of substance = ?
ΔT = change in temperature
As we are given that the potatoes have a specific heat of 3430 J/(kg⋅∘C) and raisins have a specific heat of 1630 J/(kg⋅∘C). It implies that substance take more heat when higher the value of specific heat i.e more warmer will be the substance. Thus, the potatoes will be more warmer as compared to raisins.
Therefore, No. Potatoes will be warmer.
In this experiment, you need to examine the idea of thermal energy transfer. Using a controlled experiment, what might a good question about the variables that affect thermal energy transfer be? Thermal energy transfer depends on many properties, but limit your question to only two.
Answer:
We shall consider two properties:
1. Temperature difference
2. Thermal conductivity of the material
Use a cylindrical rod of a given material (say steel) which is insulated around its circumference.
One end of the rod is dipped in a large reservoir of water at 100 deg.C and the other end is dipped in water (with known volume) at 40 deg. C. The cold water if stored in a cylinder which is insulated on all sides. A thermometer reads the temperature of the cold water as a function of time.
This experiment will show that
(a) heat flows from a region of high temperature to a region of lower temperature.
(b) The thermal energy of a body increases when heat is added to it, and its temperature will rise.
(c) The thermal conductivity of water determines how quickly its temperature will rise. If mercury replaces water in the cold cylinder, its temperature will rise at a different rate because its thermal conductivity is different.
Explanation:
A beam of electrons with a speed of is incident on a slit of width 200. nm. The distance to the detector plane is chosen such that the distance between the central maximum of the diffraction pattern and the first diffraction minimum is 0.300 cm. How far is the detector plane from the slit?
Answer:
L =( 5.17 10⁻⁶ v) m
Explanation:
This is a diffraction exercise, which is described by the equation
a sin θ = n λ
where a is the width of the slit a = 200 nm = 200 10⁻⁹ m, n is the order of diffraction n = 1 and lan the wavelength in this case we use the DeBroglie relation to find the wavelength
λ = h´ / p = h´ / mv
with h´ = h / 2π
let's use trigonometry for distance,
sin θ = y / L
tan θ = sin θ / cos θ
since these experiments the angle is very small, we approximate
tan θ = sin θ = y / L
we substitute
a y / L = n λ
L = a y / n λ
L = a y 2π mv / n h
we calculate
L = 200 10⁻⁹ 0.300 10⁻² 2π 9.1 10⁻³¹ v / (1 6.63 10⁻³⁴)
L = 517.44 10⁻⁸ v m
L =( 5.17 10⁻⁶ v) m
for a specific value we must know the speed of the electrons
During last year’s diving competition, the divers always pull their
limbs in and curl up their bodies when they do flips. Just before
entering the water, they fully extend their limbs to enter straight down
as shown.
Explain the effect of both actions on their angular velocities and
kinetic energy (support your answer with working). Also explain the
effect on their angular momentum.
Answer:
The divers pull in their limbs and curl up their bodies because doing so decreases their moment of inertia and increases their angular velocity
Explanation:
The conservation of angular momentum states that in a rotational system, the initial angular momentum is equal to the final angular momentum if no torque acts on it.
Angular momentum is equal to the product of the moment of inertia about its axis and the angular velocity
Angular momentum = Iω[tex]\\[/tex]
where I = moment of inertial = mass x [tex]radius^{2}[/tex]
I = m[tex]r^{2}[/tex]
angular momentum = m[tex]r^{2}[/tex]ω
since angular momentum is constant, one can see that decreasing the radius of rotation about the body by curling in the limb will cause the moment of inertia to decrease and the angular velocity to increase.
NB: mass of the body is constant.
Distributions of electric charges in a cell play a role in moving ions into and out of a cell. In this situation, the motion of the ion is affected by two forces: the electric force due to the non-uniform charge distribution in the cell membrane, and the resistive force (viscosity) due to colliding with the fluid molecules. In order to begin our analysis of this, let's consider a toy model in which the ion is moving in response to electric forces alone.
Charges in a cell membrane are distributed along the opposite sides of the membrane approximately uniformly. This leads to an (on the average) constant electric field inside the membrane. A simple model that gives this kind of field is two large parallel plates close together. The field between the plates is approximately constant pointing from the negative to the parallel plate. This results in a charge feeling a constant force anywhere between the plates (sort of like flat-earth gravity turned sideways). Outside of the plates the electric fields from the two plates cancel and there is no force.
2. The electric field between the plates (inside the membrane) is about 107 N/C and the thickness of the membrane is about 7 nm. Estimate:
2.1 The electric force on the ion when it is in the center of the channel.
F = N
Explain your reasoning.
2.2 The acceleration of the ion when it is in the center of the channel.
a = nm/s2
Explain your reasoning.
2.3 The magnitude of the change in the ion's potential energy as it crosses from one side of the plates to the other.
U = J
Explain your reasoning.
2.4 The kinetic energy the ion would gain as it crosses from one side of the plates to the other.
KE = J
Explain your reasoning.
Could you explain 2.3!
Answer:
An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element. Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are extremely small; typical sizes are around 100 picometers.Explanation:
An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element.
What is atom?Every solid, liquid, gas, and plasma is composed of neutral or ionized atoms. Atoms are extremely small; typical sizes are around 100 picometers.
Each atom is made up of a nucleus and one or more electrons that are linked to it. One or more protons and a significant number of neutrons make up the nucleus. Only the most prevalent type of hydrogen is neutron-free.
Atoms that are neutral or ionized make up every solid, liquid, gas, and form of plasma. Atoms are incredibly tiny, measuring typically 100 picometers across. The nucleus of an atom contains more than 99.94% of its mass.
Therefore, An atom is the smallest constituent unit of ordinary matter that constitutes a chemical element.
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Two astronauts, connected by a massless cord of length 10 m, sit motionless in deep space. The astronaut masses are ????1 = 60 kg and ????2 = 100 kg. The astronaut with mass ????1 catches a package of mass m = 20 kg tossed to him from the left with a velocity v = 2 m/s. Treat the astronauts as if they are point masses. (a) (5 points) The final system rotates about the center of mass of the system. What is yC????? Take y=0 to be the position of the top astronaut.
Answer:
Explanation:
Let masses of astronaut be m₁ = 60 kg and m₂ = 100 kg
m₁ is at y₁ = 0 and m₂ is at y₂ = - 10 m
We have to find center of mass .
Ycm = m₁y₁ + m₂y₂ / ( m₁ + m₂ ) ,
Ycm = m₁ x 0 + 100 x -10 / ( 60 + 100 )
= [tex]\frac{-1000 }{160}[/tex] m
= - 6.25 m .
center of mass y = - 6.25 m .
A bike travels 15.0 km in 45.0 min. Its average speed in km/h is .
The average speed of a bus traveling a distance of 15.0 km in 45.0 min is 20 km/hour.
What is speed?The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar quantity.
The distance travelled by an object in a time interval is divided by the length of the interval to determine its average speed.
Distance travelled by the bike = 15.0 km
Time taken by the object = 45.0 minute = (45.0 ÷ 60) hour = 0.75 hour
Hence, the average speed of the object = distance travelled / time taken
= 15.0 km/0.75 hour
= 20 km/hour,
Therefore, the average speed of a bus traveling a distance of15.0 km in 45.0 min is 20 km/hour.
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What is the gravitational force related to the distance between two objects?
Answer:
Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.
answer: It is inversely proportional to the square of the distance.
Explanation:
for the team
An electromagnet requires 3 things. Select the 3 components below.
A. battery
B. iron core
C. solenoid
D. heat
E. insulator
F. resistance
Answer:
A. Battery
B. Iron Core
C. Solenoid
Mr. Dunn drives 64.8km from work at a speed of 48km/h. Mrs. Dunn drives 81.2km from work
at a speed of 58km/h. They both leave work at the same time. Show complete working to secure
full credits. [4]
i. Who arrives home first?
ii. How many minutes later is it before the second person gets home?
iii. A Coyote is chasing its meal (the Road Runner). Unfortunately, the Coyote has difficulty
adjusting to the Road Runner’s speed but we have a good idea of what it is.
plz help me i will mark you as brainliest
Answer:
i) Mr. Dunn arrives to home first.
ii) 3 min
Explanation:
i. To find who arrives first to home you calculate the time, by using the following formula:
[tex]t=\frac{x}{v}[/tex]
x: distance
v: velocity
Mr. Dunn:
[tex]t=\frac{64.8km}{48km/h}=1.35h[/tex]
Mrs. Dunn:
[tex]t=\frac{81.2km}{58km/h}=1.4h[/tex]
Hence, Mr. Dunn arrives to home first.
ii. To calculate the difference in minutes, you convert hours to minutes:
[tex]1.35h*\frac{60min}{1h}=81min\\\\1.40h*\frac{60min}{1h}=84min\\\\\Delta\ t=(84-81)min=3min[/tex]
the difference between the times is 3min
(i) Mr. Dunn takes less time so he arrives at home first.
(ii) The second person arrives 3 min late.
Time taken to arrive home:
(i) We have to calculate the time taken to reach home by Mr. Dunn and Mrs. Dunn.
t = x/v
where x is the distance
and v is the velocity
Time taken by Mr. Dunn:
distance x = 64.8 km
speed v = 48 km/h
t = 64.8 / 48
t = 1.35 h
Time taken by Mrs. Dunn:
distance x = 81.2 km
speed v = 58 km/h
t' = 81.2 / 58
t' = 1.4 h
Hence, Mr. Dunn arrives at home first.
(ii) To calculate the difference in minutes, you convert hours to minutes:
The time taken by Mr. Dunn in minutes is:
t = 1.35×60 = 81 minutes
The time taken by Mrs. Dunn in minutes is:
t' = 1.4×60 = 84 minutes
the difference between the times is 3min
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Find the frequency of the 4th harmonic waves on a violin string that is 48.0cm long with a mass of 0.300 grams
and is under a tension of 4.00N.
Answer:
The frequency of the 4th harmonic of the string is 481.13 Hz.
Explanation:
When a stretch string fixed at both ends is set into vibration, it produces its lowest sound of possible note called the fundamental frequency. Under certain conditions on the string, higher frequencies called harmonics or overtones can be produced.
The frequency of the forth harmonic is the third overtone of the string and can be determined by:
f = [tex]\frac{2}{L}[/tex][tex]\sqrt{\frac{T}{m} }[/tex]
Given that; L = 48.0 cm = 0.48 m,
m = 0.3 g = 0.0003 Kg,
T = 4.0 N,
f = [tex]\frac{2}{0.48}[/tex][tex]\sqrt{\frac{4}{0.0003} }[/tex]
f = 4.1667 × 115.4701
= 481.1252
f = 481.13 Hz
The frequency of the 4th harmonic of the string is 481.13 Hz.
Part A - At what angle does it leave?
Part B - At what distance x does it exit the field?
Answer:
Total internal reflection (TIR) is the phenomenon that involves the reflection of all the incident light off the boundary. TIR only takes place when both of the following two conditions are met: the light is in the more dense medium and approaching the less dense medium.
Explanation: Hope i helped!!!
The motion of a set of particles moving along the x-axis is governed by the differential equation dx dt = t 3 - x3, where x1t2 denotes the position at time t of the particle. (a) If a particle is located at x = 1 when t = 2, what is its velocity at this time? (b) Show that the acceleration of a particle is
Answer:
a)V=7 m/s
b)a=3t²-3x² t³ +3 x ⁵
Explanation:
Given that
[tex]\dfrac{dx}{dt}=t^3-x^3[/tex]
a)
We know that velocity V is given as follows
[tex]V=\dfrac{dx}{dt}[/tex]
[tex]V=t^3-x^3[/tex]
At t= 2 s and x= 1 m
[tex]V=2^3-1^3=7 m/s[/tex]
V=7 m/s
b)
Acceleration a is given as follows
[tex]a=\dfrac{dV}{dt}[/tex]
[tex]a=3t^2-3x^2\dfrac{dx}{dt}[/tex]
Now by putting the values
[tex]a=3t^2-3x^2\times (t^3-x^3)[/tex]
a=3t²-3x² t³ +3 x ⁵
Therefore the acceleration of a particle will be 3t²-3x² t³ +3 x ⁵.
Gerry is looking at salt under a powerful microscope and notices a crystalline structure. What can be known about the salt sample that Gerry is looking at?
1. The atoms have spread out from each other.
2.The atoms are sliding past each other.
3.The atoms have no particular pattern
4.The atoms are vibrating in place
Answer:
4.The atoms are vibrating in place
Explanation:
The answer is; The atoms are vibrating in place
We know that, molecules in the crystal have a definite position in the crystal and are bonded to each other by electrostatic forces. However, since the molecules have some energy, they vibrate in their positions. Their energy, however, is not high enough to cause them to overcome the strong bonding (unless the crystal is heated or the atoms are irradiated).
Which of the following is the healthiest type of carbohydrate?
A Bread made with white flour
B Rice made with whole grains
C Cereal made with refined grains
D White rice
Answer:
C
Explanation:
Cereal made with refined grains is the healthiest type of carbohydrate.
What are carbohydrates?
A carbohydrate is defined as a bio-molecule which consists of carbon,hydrogen and oxygen atoms which are usually in the ratio of 2:1 with the empirical formula C[tex]_n[/tex](H₂O)[tex]_n[/tex].
This term is most commonly used in field of biochemistry as a synonym of saccharide which is a group of sugars, starch and cellulose.
They perform various functions in living organisms. They serve as an energy source and as well as structural components . They are a key component in providing nutrition and are found in wide variety of natural as well as processed foods.
Carbohydrates occur as cellulose in the cell walls of plants and is one of the components of insoluble dietary fibers.
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A sensor mounted to a cantilever beam indicates beam motion with time. When the beam is deflected and released (step test), the sensor signal indicates that the beam oscillates as an underdamped second-order system with a ringing frequency of 10 rad/s. The maximum displacement amplitudes are measured at three different times corresponding to the 1st, 16th, and 32nd cycles and found to be 17, 9, and 5 mV, respectively. Estimate the damping ratio and natural frequency of the beam based on this measured signal, K
Answer:
The damping ratio= 2.93 × 10^-3 and the natural frequency is 10rad/s
Explanation:
Check attachment
An athlete is working out in the weight room. He steadily holds 50 kilograms above his head for 10 seconds. Which statement is true about this situation?
Answer:
Answer: the true statement form the given statements is “the athletes is not doing any work because he does not move weight”
Explanation:
The athlete isn’t doing any work because he doesn’t move the weight is the correct statement.
What is Work? Work is the energy transferred to or from an object via the application of force along a displacement.Work = Force x Displacement.How to solve this Problem?The weight of an object given is 50kgsThe time of holding an object given is 10 secondsWe need to justify the statements
Here ,
There is no displacement that means displacement is zero.If displacement is zero then work done will also be zeroHence there is no work done by the athlete
Therefore ,The athlete isn’t doing any work because he doesn’t move the weight is the correct statement
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You go grab a car door handle in the summer (energy transfer to heat up the handle conduction) and it burns you through _____ energy transfer.
A. Radiation-transfer of energy (heat) through space by electromagnetic rays.
B. Conduction-the transfer of energy (heat) through the matter by molecules energy (touch).
C. Convection-the transfer of heat movement of mass or substance (motion).
I think the answer is A
A person jumps out a fourth-story window 14 m above a firefighter safety net. The survivor stretches the net 1.8 m before coming to rest. what was the deceleration experienced by the survivor? Use g = 9.8 m/s2 Calculate to one decimal.
Answer:
The deceleration is [tex]a = - 76.27 m/s^2[/tex]
Explanation:
From the question we are told that
The height above firefighter safety net is [tex]H = 14 \ m[/tex]
The length by which the net is stretched is [tex]s = 1.8 \ m[/tex]
From the law of energy conservation
[tex]KE_T + PE_T = KE_B + PE_B[/tex]
Where [tex]KE_T[/tex] is the kinetic energy of the person before jumping which equal to zero(because to kinetic energy at maximum height )
and [tex]PE_T[/tex] is the potential energy of the before jumping which is mathematically represented at
[tex]PE_T = mg H[/tex]
and [tex]KE_B[/tex] is the kinetic energy of the person just before landing on the safety net which is mathematically represented at
[tex]KE_B = \frac{1}{2} m v^2[/tex]
and [tex]PE_B[/tex] is the potential energy of the person as he lands on the safety net which has a value of zero (because it is converted to kinetic energy )
So the above equation becomes
[tex]mgH = \frac{1}{2} m v^2[/tex]
=> [tex]v = \sqrt{2 gH }[/tex]
substituting values
[tex]v = 16.57 m/s[/tex]
Applying the equation o motion
[tex]v_f = v + 2 a s[/tex]
Now the final velocity is zero because the person comes to rest
So
[tex]0 = 16.57 + 2 * a * 1.8[/tex]
[tex]a = - \frac{16.57^2 }{2 * 1.8}[/tex]
[tex]a = - 76.27 m/s^2[/tex]
A phoneme is the largest unit of sound in a word.
Please select the best answer from the choices provided
OT
O
This question is incomplete; here is the complete question:
A phoneme is the largest unit of sound in a word. Please select the best answer from the choices provided
A. T
B. F
The correct answer to this question is F (False)
Explanation:
The word "phoneme" is used to refer to the minimal unit of sound in words, and therefore in language. For example, the first phoneme in the word "man" is "m". These units of sound are essential in language because they make each word unique in meaning and sound. For example, "fan" and "man" are different due to the phonemes "m" and "f". According to this, the phone is not the largest unit of sound but the smallest unit.
Answer: quiz
1.c
2. false
3. true
4. false
5. false
6. false
7. true
8. c
9. true
10. true
Explanation:
100%
A 46.0-kg box is being pushed a distance of 8.80 m across the floor by a force P whose magnitude is 171 N. The force P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.250. Determine the work done on the box by (a) the applied force, (b) the friction force, (c) the normal force, and (d) by the force of gravity. Be sure to include the proper plus or minus sign for the work done by each force.
Answer:
a) 1504.8 J
b) 991.76 J
c) 0J
d) 0J
Explanation:
(a) The work done by the force P on the box is given by the following formula:
[tex]W_P=Px[/tex]
P: applied force = 171N
x: distance in which the for P is applied = 8.80m
you replace the values of P and x and obtain:
[tex]W_P=(171N)(8.80m)=1504.8J[/tex]
(b) The work don by the friction force is:
[tex]W_f=F_fx=\mu N x=\mu Mg x[/tex]
μ = coefficient of kinetic friction = 0.250
M: mass of the box = 46.0kg
g: gravitational constant = 9.8 m/s^2
[tex]W_f=(0.250)(46.0kg)(9.8m/s^2)(8.80m)=991.76J[/tex]
(c) The Normal force is
[tex]N=Mg=(46.0kg)(9,8m/s^2)=450.8N[/tex]
but this force does not do work on the box because the direction is perpendicular to the direction of the force P.
[tex]W_N=0J[/tex]
(d) the same as before:
[tex]W_g=0J[/tex]
how much force is needed to accelerate a space shuttle 15 m/s2 with a mass of 2,030,000?
Answer:30450000N
Explanation:
Mass=2030000
Acceleration=15 m/s^2
Force=mass x acceleration
Force=2030000 x 15
Force=30450000 N
The force required to accelerate the space shuttle is equal to 3.04 × 10⁷ N.
What is force?Force acting on a body can be described as the influence that can change the state of the body from motion or rest and vice versa. The S.I. unit of force can be denoted as Newton (N) and is a vector parameter.
Force has the ability to change the direction and speed of moving objects. The mathematical expression of the 2nd law of motion for force can be written as:
F = ma
Given the mass of the space shuttle, m = 2030000Kg = 2.03 × 10⁶ Kg
The acceleration of the space shuttle, a= 15 m/s²
The force needed to accelerate a space shuttle by 15 m/s² is equal to:
F = ma = 2.03 × 10⁶ × 15 = 3.04 × 10⁷ N
Therefore, the force needed to accelerate a space shuttle is 3.04 × 10⁷ N.
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What is an open circuit
Answer:An electrical circuit that is not complete.
Explanation:
Very large accelerations can injure the body, especially if they last for a considerable length of time. One model used to gauge the likelihood of injury is the severity index ( ), defined as =5/2 . In the expression, is the duration of the accleration, but is not equal to the acceleration. Rather, is a dimensionless constant that equals the number of multiples of that the acceleration is equal to.
In one set of studies of rear-end collisions, a person's velocity increases by 12.1 km/h with an acceleration of 35.0 m/s2 . Let the + direction point in the direction the car is traveling. What is the severity index for the collision?
How far does the person travel during the collision if the car was initially moving forward at 5.80 km/h ?
Answer:
SI = 2.31
d = 0.161 m
Explanation:
First, convert km/h to m/s.
12.1 km/h × (1000 m/km) × (1 h / 3600 s) = 3.36 m/s
Find the time.
v = at + v₀
3.36 = (35.0)t + 0
t = 0.0960
Find the value of a.
a = a / g
a = 35.0 / 9.8
a = 3.57
Solve for SI.
SI = (3.57)^(⁵/₂) (0.0960)
SI = 2.31
Solve for d.
v² = v₀² + 2aΔx
(3.36)² = 0² + 2 (35.0) d
d = 0.161
