Answer:
the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15
Explanation:
Given that;
speed of car V = 120 km/h = 33.3333 m/s
Reaction time of an alert driver = 0.8 sec
Reaction time of an alert driver = 3 sec
extra time taken by sleepy driver over an alert driver = 3 - 0.8 = 2.2 sec
now, extra distance that car will travel in case of sleepy driver will be'
S_d = V × 2.2 sec
S_d = 33.3333 m/s × 2.2 sec
S_d = 73.3333 m
hence, number of car of additional car length n will be;
n = S_n / car length
n = 73.3333 m / 5m
n = 14.666 ≈ 15
Therefore, the number of additional car lengths approximately it takes the sleepy driver to stop compared to the alert driver is 15
how long would it take a blue whale from one side of the pacific ocean to find the other at a speed of 5 mps for the 4000 miles it went
It would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.
What is the significance of the speed of an organism?The speed of the organism is determined by its body structure and how nature designed it, such as in some fast-swimming fish, which have different body designs than some slow-moving fish. Because of their speed, they can escape and flee predators.
Hence, it would take a blue whale from one side of the Pacific Ocean to find the other at a speed of 5 mph for the 4000 miles, which is approximately 800 hours or 33 days.
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Find the y-component of this
vector:
47.3 m
39.4°
Answer: 36.55
Explanation:
Answer:it is 30.03
Explanation:
You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
Convert time from 12-hour to 24-hour clock. 3 am
Answer:
03:00
Explanation:
12 HOUR CLOCK 24 HOUR CLOCK
12:00 AM 00:00
01:00 AM 01:00
02:00 AM 02:00
03:00 AM 03:00
04:00 AM 04:00
05:00 AM 05:00
06:00 AM 06:00
07:00 AM 07:00
08:00 AM 08:00
09:00 AM 09:00
10:00 AM 10:00
11:00 AM 11:00
12:00 PM 12:00
01:00 PM 13:00
02:00 PM 14:00
03:00 PM 15:00
04:00 PM 16:00
05:00 PM 17:00
06:00 PM 18:00
07:00 PM 19:00
08:00 PM 20:00
09:00 PM 21:00
10:00 PM 22:00
11:00 PM 23:00
a anormal human eye has a focal length of about 2.3cm if you look at the tib of a pencil 55.3 cm from your eye haw far is the image from the lens of your eye ?
The image would be 53 cm from the lens of your eye.
What is Lens?
A lens is a transmissive optical tool that uses refraction to focus or disperse a light beam. A compound lens is made up of multiple simple lenses (elements), typically arranged along a common axis, as opposed to a simple lens, which is one solid piece of transparent material. Glass or plastic are used to make lenses, which are then polished or moulded into the desired shape. In contrast to a prism, which simply refracts light without focusing it, a lens can focus light to create an image. Lenses are also devices that focus or disperse waves as well as radiation other than visible light, such as explosive lenses, microwave lenses, particle lenses, and acoustic lenses.
Lenses are a common component of telescopes, binoculars, and cameras, among other imaging devices.
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what is one reason that john adams and benjamin franklin believed the articles of confederation should be revised.
Answer:
Explanation:
Their most intimate experience probably happened during an unsuccessful peace mission in September 1776. The British forces had recently raced across Long Island (New York) and almost destroyed the American Army. The British commander, Adm. Lord Richard Howe, then offered peace. Congress sent Adams, Franklin, and Edward Rutledge (South Carolina) to meet Howe on Staten Island.
Howe hoped to resolve the differences between what Great Britain still considered its colonies and the mother country. The Americans insisted on British recognition of independence, but Howe had no such authority, and Adams and Franklin had little of their own. Although cordial, the meeting broke up without success after just three hours.
During the mission, Adams and Franklin lodged together at crowded inn in a small room with only one window. Adams records an unforgettable and amusing story in his diary about that evening and hearing Franklin’s theory of colds.
Calculate the quantity of heat energy which must be transferred to 2.25 kg of brass to raise its temperature from 20°C to 240°C if the specific heat of brass is 394 J/kgK.
The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J
How do i determine the quantity of heat energy?First, we shall list out the given parameters from the question. This is shown below:
Mass of brass (M) = 2.25 Kg Initial temperature of brass (T₁) = 20 °CFinal temperature of brass (T₂) = 240 °CChange in temperature of brass (ΔT) = 240 - 20 = 220 °CSpecific heat capacity of brass (C) = 394 J/kgKQuantity of heat energy (Q) =?The quantity of heat energy that must be transferred can be obtained as follow:
Q = MCΔT
= 2.25 × 394 × 220
= 195030 J
Thus, we can conclude quantity of heat energy that must be transferred is 195030 J
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A marine weather station reports waves along the shore that are 2 meters high, 8 meters long, and reach the station 8 seconds apart. Determine the speed of these waves.
One full weather station reports wave passing a spot every second is equivalent to a frequency of 1 Hz. The frequency is 48=12=0.5 Hz if 4 waves pass a spot in 8 seconds.
What is the frequency of a 30-second ocean wave that hits the shore?The number of cycles that make up a time unit is the frequency. The frequency of a wave with a 30-second period is therefore 1 30 = 0.033 cycles per second, or 0.033 Hertz (Hz).
Which of the following statements most accurately sums up how a wave crosses a border and enters a new medium?A wave's speed and wavelength vary as it crosses a border and enters a new medium, but its frequency doesn't.
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Which has more momentum, a 2000 lb car moving at 100 km/hr or a 4000 lb truck moving at 50 km/hr ?
Answer:
The truck and car have the same momentum.
Explanation:
\(m_1\) = Mass of car = \(2000\ \text{lb}=2000\times0.45359237\ \text{kg}\)
\(v_1\) = Velocity of car = \(\dfrac{100}{3.6}\ \text{m/s}\)
\(m_2\) = Mass of truck = \(4000\times0.45359237\ \text{kg}\)
\(v_2\) = Velocity of truck = \(\dfrac{50}{3.6}\ \text{m/s}\)
Momentum of car
\(p_1=m_1v_1\\\Rightarrow p_1=2000\times0.45359237\times \dfrac{100}{3.6}\\\Rightarrow p_1=25199.58\ \text{kg m/s}\)
Momentum of the truck
\(p_2=m_2v_2\\\Rightarrow p_2=4000\times0.45359237\times \dfrac{50}{3.6}\\\Rightarrow p_2=25199.58\ \text{kg m/s}\)
Both the truck and car have the same momentum of \(25199.58\ \text{kg m/s}\).
what effect does density have on transverse waves
A uniformly charged thin ring has radius 15.0 cm and total charge 20.0 nC . An electron is placed on the ring's axis a distance 30.0 cm from the center of the ring and is constrained to stay on the axis of the ring. The electron is then released from rest.
Required:
a. Describe the subsequent motion of the electron.
b. Find the speed of the electron when it reaches the center of the ring.
Answer:
b) 1.67×10^7 m/s
Explanation:
The solution is attached in the attachment section
The motion of electron is oscillatory about the center of the ring. The speed of the electron when it reaches the center of the ring is equal to 1.23 × 10⁷ m/s.
What is the electrostatic force?The force between the two electric point charges is called electrostatic force. An electrostatic force can be attractive or repulsive depending upon the n the polarity of the charges.
The electron will be attracted toward the center of the ring where the net force is zero. But the electron has some kinetic energy and due to inertia it crosses the center, but on the other side, it is further attracted towards the center of the ring.
Given ,the radius of the ring, r = 0.15cm
The total charge on the ring, q = 20 × 10⁻⁹ C
The distance of the electron from the center of the ring, x = 0.3m
Consider that the charge 'e' on the electron,
Force due to the charge ring on the electron is:
\(F_e = \frac{kq_1q_2x}{(r^2+x^2)^{3/2}}\)
\(F_e = \frac{kqex}{(r^2+x^2)^{3/2}}\)
\(F_e =\frac{8.99\times 10^9\times 20\times 10^{-9}\times 1.6 \times 10^{-19}\times 0.3}{(0.15^2+0.3^2)^{3/2}}\)
\(F_e =22.89\times 10^{-17} N\)
The electron accelerates due to electrostatic force,
F = ma
22.89×10⁻¹⁷ = 9.1 × 10⁻³¹ × a
a = 2.52 × 10¹⁴ m/s²
The speed of the electron to the center of the ring will be, from the equation of motion:
v² - u² = 2ax
v² = 2× 2.52× 10¹⁴ × 0.3
v = 1.23 × 10⁷ m/s
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What happens to the interference fringes if coherent sources is replaced by the headlight of
vehicles?
Answer:
headlight of vehicles use less energy and gives light to very limited area hence electricity can be conserved by doing this
a ball is thrown straight up into the air with an initial speed of 3.1 m/s. a. After 0.24 seconds what is the ball's velocity and b. what is it's acceleration?
a. The ball's velocity after 0.24 s is 0.75 m/s
b. The acceleration of the ball is given by the acceleration due to gravity
a. The ball's velocity can be calculated with the following equation:
\( v_{f} = v_{0} - gt \)
Where:
\( v_{f} \): is the final speed =?
\(v_{0}\): is the initial speed = 3.1 m/s
g: is the acceleration due to gravity = 9.81 m/s²
t: is the time = 0.24 s
The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).
The final speed is:
\( v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s \)
Hence, the ball's velocity after 0.24 s is 0.75 m/s.
b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.
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A set of 500-g masses is placed one at a time on a digital balance during quality control testing. The mass readings are 397 g, 401 g, and 403 g. Describe the accuracy and precision of the scale. (1 point)
not accurate and not precise
not accurate and not precise
both accurate and precise
both accurate and precise
accurate but not precise
accurate but not precise
precise but not accurate
Considering the definition of precision and accuracy, the mass readings of the digital balance are accurate but not precise.
Definition of precision and accuracyPrecision as the proximity between the indications or measured values of the same measurand, obtained in repeated measurements, under specified conditions.
Accuracy is defined as the closeness between the measured value and the "true" value of the measurand.
In other words, accuracy is how close a measurement is to the true value, while precision is how close the values of several measurements are to a point.
Precision and accuracy are independent of each other. Thus, the results in the values of a measurement can be precise and not exact (and vice versa).
Accuracy and precision in this caseA set of 500-g masses is placed one at a time on a digital balance during quality control testing. The mass readings are 397 g, 401 g, and 403 g.
In this case, the measurement is accurate, since the results of each individual measurement are quite similar. But the measurements are not exact (not precise) because the results are far from the real value.
In summary, the mass readings of the digital balance are accurate but not precise.
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In the electric of capacitance 4 ,3 and 2 microfaradas, respectively, are connected in senes to a battery of 260 V , calculate the charge?
The total charge in the circuit is 240 microcoulombs.
To calculate the total charge in a series circuit with capacitors, we need to use the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage.
In this case, we have three capacitors connected in series with capacitances of 4 μF, 3 μF, and 2 μF, respectively. The voltage across the circuit is 260 V.
To find the total capacitance (C_total) in a series circuit, we use the reciprocal rule: 1/C_total = 1/C1 + 1/C2 + 1/C3. Plugging in the values, we get 1/C_total = 1/4 + 1/3 + 1/2.
Simplifying this equation gives us 1/C_total = (3 + 4 + 6)/12 = 13/12. Taking the reciprocal, we find C_total = 12/13 μF.
Now, we can calculate the total charge (Q_total) using Q = C_total × V. Substituting the values, we get Q_total = (12/13) μF × 260 V.
Calculating the numerical value, Q_total = (12/13) × 260 = 240 μC (microcoulombs).
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A 17-kg
piece of metal displaces 2.8 L
of water when submerged. what is its density?
Answer: Density = 6071.428571 kg/m³
Explanation: Given that mass m=17 kg
volume displaced v=2.8L
We know that
density = mass/volume
Here density=17kg/2.8L
Also 1L=1000m³ Hence
density=17kg/2.8×10⁻³m³
=6071.428571 kg/m³
What does the bottom right picture that says “goal” mean?
The bottom right picture that says “goal” is a reminder to stay focused on what you are striving to achieve. It is a visual representation of the end point of your journey.
What is striving ?Striving is the act of exerting effort, of pushing oneself to reach a goal. It is a conscious effort to achieve success, often through hard work and determination. Striving involves setting objectives, making plans to attain them, and then working to make those plans a reality. It also involves dealing with challenges or roadblocks that may arise along the way. Striving is a continuous process that requires dedication and resilience. It is often a difficult journey, but those who strive often find themselves achieving more than they ever thought possible. Striving can be applied to any aspect of life and is essential for personal growth and development.
It is a way to keep you motivated and remind you of why you are doing what you are doing. It is also a reminder to keep setting and reaching for your goals, no matter how difficult they may seem. By keeping your goal in mind, you can stay on track and continue working towards achieving it.
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Calculate the volume of this regular solid,
What is the volume of the sphere? Round your answer
to the nearest tenth.
cm
8 cm
Answer:
2144.7
Explanation:
SuperPointParticleDog is playing tug of war with two other dogs, Isaac and Newton. Isaac is pulling with a force of 255 N, 13 degrees North of East on one rope attached to a ball. Newton is pulling with a force of 156 N, 34 degrees South of East on another rope attached to the ball. If the ball is moving with constant momentum toward SuperPointParticleDog, what is the East/West component of her force on the ball?
The East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).
How to explain tje informationIsaac's force:
Magnitude: 255 N
Angle: 13 degrees North of East
x-component: 255*cos(13) = 245.1 N (Eastward)
y-component: 255*sin(13) = 58.1 N (Northward)
Newton's force:
Magnitude: 156 N
Angle: 34 degrees South of East
x-component: 156*cos(34) = 129.4 N (Westward)
y-component: 156*sin(34) = 86.5 N (Southward)
Now we can add the x- and y-components of the forces to find the net force:
Net force:
x-component: 245.1 N - 129.4 N = 115.7 N (Eastward)
y-component: 58.1 N - 86.5 N = -28.4 N (Southward)
The net force has an Eastward component of 115.7 N. Therefore, the East/West component of SuperPointParticleDog's force on the ball is -115.7 N. (Westward).
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A motorcycle, travelling cast, starts from rest, moves in a straight line with a constant acceleration and covers a distance of 64 m in 4 s.Calculate a) Its acceleration b) Its final velocity c) At what time the motorcycle had covered half the total distance d) What distance the motorcycle had covered in half the total time.
The motorcycle had covered a distance of 16 meters in half the total time.
a) To calculate the acceleration, we can use the formula:
a = (v - u) / t
where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.
Given:
u = 0 m/s (initial velocity)
v = ? (final velocity)
t = 4 s (time)
s = 64 m (distance)
Using the equation of motion:
s = ut + 1/2at^2
We can rearrange the equation to solve for acceleration:
a = 2s / t^2
a = 2(64) / (4)^2
a = 128 / 16
a = 8 m/s^2
Therefore, the acceleration of the motorcycle is 8 m/s^2.
b) To find the final velocity, we can use the formula:
v = u + at
v = 0 + (8)(4)
v = 32 m/s
Therefore, the final velocity of the motorcycle is 32 m/s.
c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:
s = ut + 1/2at^2
32 = 0 + 1/2(8)t^2
16 = 4t^2
t^2 = 4
t = 2 s
Therefore, the motorcycle had covered half the total distance at 2 seconds.
d) To calculate the distance covered in half the total time, we use the formula:
s = ut + 1/2at^2
s = 0 + 1/2(8)(2)^2
s = 0 + 1/2(8)(4)
s = 0 + 16
s = 16 m
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A
car accelerates from rest at 4.5 m/s² for 3 seconds.
a. What is the car's velocity after 3 seconds?
b. What distance does the car travel in the 3 seconds?
m/s
A car accelerates from rest at 4.5 m/s² for 3 seconds, the car's velocity after 3 seconds is 13. 5 m/s
The distance the car travel in the 3 seconds is 40. 5m/s
The first equation of motion is v = u + a t. It explains the relationship between velocity and time.
V = Final velocity
u = Initial velocity
a = acceleration
t = time.
How to determine the velocity
When an object is brought to rest or moves from resting, U, initially velocity equals 0.
From the formula,
V = u + at
V = ?
u = 0, because the object was at rest.
a = 4. 5 m/ s²
t = 3 seconds
Velocity, V = 0 + 4. 5 × 3
Velocity , V = 0 + 13. 5
Velocity, V = 13.5 m/s²
How to determine the distance
Velocity = Distance ÷ time
Velocity, V = 13. 5 m/s²
time = 3 seconds
distance = ?
Distance = Velocity × time
Distance = 13. 5 × 3
Distance = 40. 5 m
Therefore, the car's velocity after 3 seconds is 13. 5 m/s² and the distance the car travels after 3 seconds is 40. 5m
Chloe puts 2 equal-sized marbles in a graduated cylinder containing 50 cm3 of water. The water level rises up to 70 cm3. What is the volume of each marble?
A glass marble has an average volume of about 2 cm3. When discussing the volume of a marble, you want to know how much space the object occupies.
What is the volume of each marble?
Because the volume of each marble must be 0.05 because the amount of water decreases by 0.05 times the number of marbles. Essentially, the volume is equal to the product of the shape's area and height. Volume equals base area multiplied by height.Finding the volume of an object can help us determine how much water is needed to fill that object, such as how much water is needed to fill a bottle, aquarium, or water tank.Volume is a measurement of an object's capacity. For example, the volume of a cup is 100 ml if it can hold 100 ml of water up to the brim. Volume is also the amount of space occupied by a three-dimensional object.To learn more about volume refers to:
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A ball is projected with an initial velocity 50m/s at an angle 30 degree from the top of a tower 55m high.calculate the total time the ball was on the air and the maximum horizontal distance
Time of flight = 1.6 s
Horizontal distance = 64 m
What is a projectile motion?Projectile motion is the form of motion experienced by an object or particle projected into a gravitational field, such as from the surface of the Earth, and moves along a curvilinear path only under the action of gravity.
For the given case,
h = vt + ¹/₂gt²
h = height of tower
v = initial velocity
t = time of flight
55 = 50sin30t + ¹/₂9.8t²
55 = 25t + 4.9t²
4.9t² + 25t - 55 = 0
t = 1.6 s
X = vₓt
X = horizontal distance
vₓ = horizontal velocity
t = time of flight
X = (50 x cos30) x 1.6
X = 64 m
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what is a mitochondria
Answer:
The mitochondria, also known as the mitochondrion, is the organelle that produces energy in living organisms.
Explanation:
This organelle is found in Eukaryotic cells. This organelle converts energy into food molecules through a process known as cellular respiration.
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What type of weather would a continental Polar air mass bring
Answer:
Continental polar ( cp):
Explanation:
Cold and dry, originating from high latitudes, typically as air flowing out of the polar highs. This air mass often brings the rattleing cold, dry and clear weather on a perfect winter day and also dry and warm weather on a pleasant day in summer.
PLEASE HELP DUE SOON
Answer:
29 m/s east
Explanation:
Hope this helps :]
A bullet is fired horizontally with an initial velocity of 900 m/s at a target located 150 m from the rifle.
a) How much time is required for the bullet to reach the target?
b) Using the approximate value of g = 10 m/s^2, how far does the bullet fall in this time?
If you could show work, that'd be greatly appreciated :) I know the answers, but I'm not sure how they're worked.
Answer:
S = Vx t = 900 t
t = 150 / 900 = 1/6 sec
If the bullet is fired horizontally it will travel 900 m in .167 sec
H = 1/2 g t^2 = 1/2 * 10 * (1/6)^2 = .139 m distance bullet will fall
What happens when a ray of light enters a glass slab ?
Explanation:
then the
speed decreases
Answer:
It gets refracted,
Explanation:
Because i did a couple different searches.
Which three statements are true of all matter?
A.
It is filled with air.
B.
It takes up space.
C.
It contains aluminum.
D.
It has mass.
E.
It is made up of atoms
Answer:
B, D and E, not all matter can be filled with air
if you sit on the edge of a very light table, it is likely the table will topple over. explain?
Answer:
This question heavily relies on the weight of the table and the weight of the person sitting on it, if a 90 pound person sits on the side of a 40 pound table, it will topple over.
Explanation: Tables are generally have a 50/50 weight distribution ratio so that they are even on the ground and can stay upright, but if a table is too light and the person or object sitting on it is heavier than the side they/it is placed on, it will fall.