Answer:
The shortest time in which the driver can complete the operation is approximately 6.32456 seconds
Explanation:
The given parameters are;
The speed of the truck and the car = 35 mi/h ≈ 51.33 ft./s
Let "t" represent the time it takes the car to pass the truck by 40 ft., we have;
The distance covered by the truck = 35 mi/h × t
The distance covered by the car = 35 mi/h × t + 80 ft = 51.33
Let the distance over which the car accelerates = d
We have;
d = 51.33×t₁ + 1/2×5×t₁²
51.33·t + 80 - d = (51.33 + 5·t₁)·(t - t₁) - 1/2·20·(t - t₁)²
51.33 = 51.33 + 5·t₁ - 20·(t - t₁)
∴ 5·t₁ = 20·(t - t₁)
5·t₁ = 20·t - 20·t₁
25·t₁ = 20·t
t₁ = 4·t/5
(51.33 + 5·t₁)·(t - t₁) - 1/2·20·(t - t₁)² + 51.33×t₁ + 1/2×5×t₁² = 51.33·t + 80
We get;
(51.33 + 5·(4·t/5))·(t - (4·t/5)) - 1/2·20·(t - (4·t/5))² + 51.33×(4·t/5) + 1/2×5×(4·t/5)² = 51.33·t + 80
(51.33 + 4·t)·(t/5) - 2·t²/5 + 51.33 × (4·t/5) + 8·t²/5 = 51.33·t + 80
51.33×t/5 + 51.33×4·t/5 + 4·t²/5 - 2·t²/5 + 8·t²/5 = 51.33·t + 80
51.33·t + 10·t²/5 = 51.33·t + 80
2·t² = 51.33·t + 80 - 51.33·t = 80
t² = 80/2 = 40
t = √40 = 2·√10 ≈ 6.32456
The shortest time in which the driver can complete the operation is "t" ≈ 6.32456 seconds
Is this statement true or false?
Tornadoes are accompanied by spinning downdrafts and updrafts that form a funnel cloud.
Answer:
true true true true true
Estimate the weight of honey that it would take to fill a bathtub. What factor is this heavier is this from water
Answer:
Weight of honey required to fill bath tub is 435kg
Honey is 1.45 times heavier than water
Explanation:
Rough volume of a bathtub is 300 litres
density of honey is 1.45 kg/L
Density of honey in bath tub is given by
[tex]\rho = \frac{mass}{volume}[/tex] where, mass is the weight of honey in bath tub and volume is volume of bath tub
on substituting the given values in above equation we get
1.45 = [tex]\frac{mass}{300}[/tex]
⇒1.45 x 300 = mass of honey in bath tub or weight of honey
⇒ weight of honey required to fill bath tub is 435kg
density of water is 0.997 kg/L
therefore for the same amount of volume the ratio of weight of honey to water is equal to ratio of density of honey to water
∴ [tex]\frac{W_h}{W_w} = \frac{\rho_h}{\rho_w}[/tex]
on substituting the value of densities we get
[tex]\frac{W_h}{W_w} = \frac{1.45}{1}[/tex]
⇒ honey is 1.45 times heavier than water
The peripheral nervous system transfers information from the _______ to the rest of the body.
a. interneurons
b. sensory neurons
c. brain
d. glands
The peripheral nervous system transfers information from the sensory neurons to the rest of the body.
What is the function of peripheral neutrons?The peripheral nervous system transfers information from the sensory organs organs and muscles. The axons of these nerve cells can be found throughout the body. Information is received by the dendrites of nerve cells and the information moves down the axon to the cell body.
So we can conclude that the peripheral nervous system transfers information from the sensory neurons to the rest of the body.
Lear more about nervous here: https://brainly.com/question/2114466
#SPJ2
a)Levers work because some forces produce a ______
plss helppp
Answer:
Force
Explanation:
What does a neutron look like
Katrina pushes off a flat sidewalk on her new skateboard
What causes her to move?
Answer:
Gravity and Friction
Explanation:
How gravity and friction work which u probably know
Which term is applied to an object through which light passes?
A. Absorbent
B. Opaque
C. Reflective
D. Transparent
Answer:
D
Explanation:
transparent_objects that allows light to pass through and can you see through them
Supplements are designed to replace a meal.
True
False
Answer:
the answer to your question is false.
If a truck loses 5610 J of energy as it slows down due to an external force of 425 N, what distance will it have moved after the force is first applied
Answer:
13.2m
Explanation:
Step one:
given data
Energy= 5610J
Force F= 425N
Required
The distance traveled
Step two:
We know that work done is given as
WD= force* distance
so
5610=425*d
divide both sides by 425
d= 5610/425
d=13.2m
Scientists create models to better understand Earth. Which evidence has led scientists to conclude that there are different layers within Earth's interior?
A.analysis of seismic wave data
B.measurement of Earth's diameter
C.temperatures taken within each layer
D.rock samples taken from Earth's core
Answer:
it is A or D
Explanation:
Answer:
ANswer:A
Explanation:
Which layer of the blood vessel is made of strong, flexible fibrous connective tissue?
the innermost layer
the middle layer
the outermost layer
all layers
Two laboratories use radiocarbon dating to measure the age of two wooden boat fragments found at the site of an ancient
shipwreck. Lab A finds an age of 515 +/-20 years for the first object; lab B finds an age of 585 +/-30 years for the second
object. Which of the following is true?
a. Lab B's reading is more accurate than Lab A's.
b. Lab B's reading is less accurate than Lab A's.
Lab B's reading is more precise than Lab A's.
d Lab B's reading is less precise than Lah A's
C
Answer:
Answer d) Lab B's reading is less precise than Lab A's
Explanation:
Recall that accuracy is a measure of how close to the actual physical quantity the experiment leads to. In this case, we don't know what the true age is,so we cannot tell which reading is more accurate.
But we can tell which reading is more precise given the value of their reported errors. Since Lab A shows a smaller error in years (+/- 20 years versus 30 years), as well as a smaller percent error (3.9% versus 5.1%), we can say that Lab's A reading is more precise than Lab B's reading.
This agrees with answer labeled d).
In a particular crash test, an automobile of mass 1577 kg collides with a wall and bounces back off the wall. The x components of the initial and final speeds of the automobile are 17 m/s and 1.5 m/s, respectively. If the collision lasts for 0.18 s, find the magnitude of the impulse due to the collision. Answer in units of kg · m/s.
Answer:
Ft=24,443.5 kgm/s
Explanation:
Step one
Given data
Mass of automobile m=1577kg
Initial Velocity u=17m/s
Final Velocity v=1.5m/s
Time t=0.18s
Step two
From the impulse and momentum equation
Ft=mΔv
Substitute
Ft=1577*(17-1.5)
Ft=1577*15.5
Ft=24,443.5 kgm/s
A boy pulls with a 92.5 N force on the handle of a 27.5 kg wagon while the handle makes an angle of 35.0 degrees with the horizontal. If friction is negligible, and the boy pulls a total distance of 215.6 m, how much work has the boy done
Answer:
[tex]W_b \approx 16336J[/tex]
Explanation:
From the question we are told that
Force of pull [tex]F= 92.5[/tex]
Weight of handle [tex]W_h=27.5 kg[/tex]
Angle of handle [tex]\angle =35.0[/tex]
Distance [tex]d=215.6 m[/tex]
Generally the work done by the boy can mathematically be represented as
[tex]W_b=F*dcos \theta[/tex]
[tex]W_b=92.5*27.5 *cos(35)[/tex]
Therefore
[tex]W_b=16336.34922J[/tex]
[tex]W_b \approx 16336J[/tex]
For a wave, what term is defined as the maximum height of a crest, or depth of a trough, relative to the normal level
Answer:
Amplitude.
Explanation:
Radio waves can be defined as an electromagnetic wave that has its frequency ranging from 30 GHz to 300 GHz and its wavelength between 1mm and 3000m. Therefore, radio waves are a series of repetitive valleys and peaks that are typically characterized of having the longest wavelength in the electromagnetic spectrum.
Basically, as a result of radio waves having long wavelengths, they are mainly used in long-distance communications such as the carriage and transmission of data. Some examples of communication technologies that uses radio waves are radio set, mobile phones, television etc.
For a wave, an amplitude is defined as the maximum height of a crest, or depth of a trough, relative to the normal level
If the kinetic energy of a given mass is to be doubled, its speed must be multiplied by
1) 4
2) 2
3) 8
4) 2
Answer:
Either B or D. The answer itself is 2.
Explanation:
The equation for the kinetic energy would be 1/2*mv^2.
When m is doubled, we can plug in 1 and 2 to compare our answers.
Plugging in 1 for mass would give us the answer 1/2*v^2.
Plugging in 2 for mass would give us v^2. This means that the velocity was multiplied by 2, meaning that the answer is it is multiplied by 2.
I am not sure which answer is correct since there seems to be two answer choices with 2 in it, but the answer is either B or D (I will call it ABCD because I do not want to cause confusion by saying 2 multiple times).
A television connected to a 120 V line uses 102 Watts of power. How much current flows through it?
a. 12240 amps
b. 0.85 amps
c. 0.85 Watts
Answer: 0.85amps
Explanation: Power = 102watts; Voltage = 120voltsP = IxV ; I = P divided by V = 102 divided by 120 = 0.85amps
wht is a solar year?
Answer:
A tropical year, also known as a solar year, an astronomical year, or an equinoctial year, is, on average, approximately 365 days, 5 hours, 48 minutes and 45 seconds long.
Explanation:
A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.Find the depth of the shoal of fish if the speed of sound in water is 1250 m/s
Given :
A SONAR used in a ship sends ultrasound waves and receives the echo after 2.0 s.
To Find :
The depth of the shoal of fish if the speed of sound in water is 1250 m/s.
Solution :
Let, the depth of the shoal fish is d.
Now, it is given that it takes 2.0 s to receive the echo.
Also, distance covered by echo is 2d.
Now, 2d = s × t
2d = 1250 m/s × 2 s
d = 1250 m
Therefore, the depth of the shoal of fish is 1250 m.
For an organism to survive, it must acquire energy. What is an example of acquiring energy?
Question 3 options:
healing a cut or wound
eating an apple
sweating
running
answer quick plz
Answer:
eating an apple
Explanation:
Eating food gives your body the nutrients and energy it needs.
A force of 40 N accelerates a 5 block at 6 m/s ^ 2 along a horizontal surface a. What would the block's acceleration be if the surface were frictionless. b. How large is the kinetic friction force? cWhat is the coefficient of kinetic friction?
Answer:
a = 8 m/s^2, Ffriction = 10 N, μk = 0.205
Explanation:
a. Force = Mass*Acceleration,
(since you didn't add the units..."5 block"....for the mass, I will assume it to be in kg, per SI units)
40 N = 5 kg*acceleration,
a = 40/5 = 8 m/s^2
b. As you know newtons second law (F=m*a) is actually in the form Fnet = m*a. Which means that if the friction force comes into play, it would be Fapplied - Ffriction = m*a.
Fapplied - Ffriction = m*a,
40 - Ffriction = 5*6,
40 - Ffriction = 30,
Ffriction = 40 - 30 = 10 N
c. The coefficient of kinetic friction is calculated by the formula "Ffriction = μk*Fnormal".
10 = μk*Fnormal (Fnormal = m*g = 5*9.8)
10 = μk*49,
μk=10/49 ≈ 0.205
If a man traveled to a different planet
Answer:
He would be in space.
Explanation:
Answer: What would happen if a human traveled to Uranus?
As an ice giant, Uranus doesn't have a true surface. The planet is mostly swirling fluids. While a spacecraft would have nowhere to land on Uranus, it wouldn't be able to fly through its atmosphere unscathed either. The extreme pressures and temperatures would destroy a metal spacecraft.
Explanation:
What must be the length of a simple pendulum if its oscillation frequency is to be equal to that of an air-track glider of mass 0.250 kg attached to a spring of force constant 9.75 N/m
Answer:
the length of the simple pendulum is 0.25 m.
Explanation:
Given;
mass of the air-track glider, m = 0.25 kg
spring constant, k = 9.75 N/m
let the length of the simple pendulum = L
let the frequency of the air-track glider which is equal to frequency of simple pendulum = F
The oscillation frequency of air-track glider is calculated as;
[tex]F = \frac{1}{2\pi } \sqrt{\frac{k}{m} } \\\\F = \frac{1}{2\pi } \sqrt{\frac{9.75}{0.25} } \\\\F = 0.994 \ Hz[/tex]
The frequency of the simple pendulum is given as;
[tex]F = \frac{1}{2\pi} \sqrt{\frac{g}{l} } \\\\2\pi(F) = \sqrt{\frac{g}{l} } \\\\2\pi (0.994) = \sqrt{\frac{9.8}{l} } \\\\6.2455 = \sqrt{\frac{9.8}{l} } \\\\(6.2455)2 = \frac{9.8}{l} \\\\39.006 = \frac{9.8}{l} \\\\l = \frac{9.8}{39.006} \\\\l = 0.25 \ m[/tex]
Thus, the length of the simple pendulum is 0.25 m.
3.) Brady walks 5 meters forward, turns right, walks 25 meters, turns right again, walks 5
meters, then turns left and walks 10 meters. What are Brady's distance and
displacement?
Answer:
Distance covered is: 45 meters
Displacement is 15 meters to the right of where he started
Explanation:
Notice that Brady has walk a path that looks like an incomplete rectangle of height 5 meters and length 25meters, although he actually didn't cover the full length (25 meters) when getting back to the point where he started (he made just 10 meters instead of 25 after the third turn right) See attached image.
Therefore, Brady's displacement is 15 meters to the right of where he started, and the total distance he covered is :
Distance = 5m + 25m + 5m + 10m = 45m
What is the balance of
C2H6=C2H4+H2
Answer:
I don't get the question
Pablo's engineering team has developed a new material that is strong enough to withstand major impacts, including bullets, without breaking or deforming. He plans to design a new type of motorcycle helmet using the material as its outside covering. A prototype of the helmet is shown below. Pablo knows that other types of motorcycle helmets have outside coverings that bend and deform slightly on impact. So if Pablo's new helmet is going to be as effective at protecting people's heads as existing helmets, he'll need to
A.
slightly reduce the total mass of the new helmet by reducing the amount of internal cushioning.
B.
maximize the total mass of the helmet by adding flexible steel to the outside covering.
C.
increase the amount of cushioning on the inside of the new helmet to help it absorb impacts.
D.
use a thicker outside covering than other helmets to help prevent deformation even further.
Answer:
the answer is c
Explanation:
Find the magnitude of the impulse delivered to a soccer ball when a player kicks it with a force of 1360 N. Assume that the player's foot is in contact with the ball for 5.85 times 10^{-3} s. (Show your work)
please
Answer:
7.59Ns
Explanation:
Given parameters:
Force = 1360N
Time of contact = 5.85 x 10⁻³s
Unknown:
Impulse = ?
Solution:
The impulse of the ball is given as:
Impulse = Force x time
Impulse = 1360 x 5.85 x 10⁻³ = 7.59Ns
The image below shows four points on the orbit of a comet around the Sun.
At which point does the comet have the most gravitational potential energy?
A. Point B
B. Point A
C. Point C
D. Point D
The comet will have the most gravitational potential energy at : ( B ) Point A
Given that the gravitational potential energy between two bodies is expressed as
Ux = - GMm / d ------ ( 1 )
where :
G = gravitational constant
M = mass of larger body ( sun )
m = mass of comet
d = distance between the bodies
Therefore the greater the distance ( d ) between the bodies the less negative the potential gravitational energy the smaller body will possess. from the image attached below, the point on the orbit that is farthest from the sun is Point A
Hence we can conclude that the comet will have the most gravitational potential energy at : ( B ) Point A
Learn more about gravitational potential energy : https://brainly.com/question/15849218
Answer: its letter c
Explanation:
Using the CER, write an essay describing what might influence some teens to choose a sedentary lifestyle. 1. suggest ways to encourage these teens to become more physically active. 2. Use correct spelling and punctuation. Use no less than 8 sentences. *
Answer:
Sedentary lifestyle is the lifestyle by which most physical activity is abandoned, performing activities that do not require energy consumption or large muscle movements on a large scale, such as using a computer, driving a car or playing video games.
Today, most young people have gradually turned towards sedentary lifestyles, mainly motivated by the increase in technological availability, and the extensive dependence generated on technology both to communicate with their peers (cell phones, social networks, etc. .) and for leisure time (video games, etc.).
Some ways to promote physical activity in young people and prevent sedentary lifestyle can be to create sports groups, where young people can establish social relationships without depending on networks or technological devices, or establish tasks of physical activity during study or work hours.
A simple pendulum is constructed by hanging a 3 kg mass on the end of a 0.8 m long string. The pendulum is pulled back to a height of 0.2 m and released. At what time will the mass first reach its maximum velocity
Answer:
The time when the mass will reach its first maximum velocity is 1.8 s.
Explanation:
Given;
mass of the pendulum, m = 3 kg
length of the pendulum, l = 0.8 m
height in which the pendulum is raised to, h = 0.2 m
the mass will reach its first maximum velocity when it returns to its initial position, i.e at the middle (x = 0).
the distance between the initial position of the pendulum and the height in which it is raised is the maximum displacement (A).
If we form a right angle triangle with respect to the height in which the pendulum is raised;
the height of the right triangle, H = L - 0.2 = 0.8 - 0.2 = 0.6 m
the hypotenuse side, = L = 0.8 m
the base of the triangle (opposite side) = A
A² = L² - H²
A² = (0.8)² - (0.6)²
A² = 0.28
A = √0.28
A = 0.529 m
The maximum velocity of the pendulum is calculated as;
[tex]V_{max} = A \omega\\\\V_{max} = A \sqrt{\frac{g}{l} } \\\\V_{max} = (0.529)\sqrt{\frac{9.8}{0.8} }\\\\V_{max} = 1.852 \ m/s[/tex]
The period is calculated as;
[tex]V_{max} = A\omega\\\\V_{max} = A (\frac{2\pi}{T} )\\\\T = \frac{2\pi A }{V_{max}}\\\\T = \frac{2\pi \ \times \ 0.529}{1.852} \\\\T = 1.8 \ s[/tex]
Therefore, the time when the mass will reach its first maximum velocity is 1.8 s.