Answer:
21 s.
I hope this helps!
Answer:21s
Explanation:
Two balls are rolled off a tabletop that is 0.85 m above the floor. Ball A has a
horizontal velocity of 3.5 m/s and that of ball B is 5.3 m/s.
A) How long does it take each ball to reach the floor after it rolls off the edge?
B) How far does each ball travel horizontally before hitting the floor?
Hi there!
A)
Since the ball's velocity is initially only in the HORIZONTAL direction, there is NO vertical component of its velocity. Therefore, we can treat this like a free-fall scenario. (Dropped from rest).
We can rearrange the following kinematic equation to make solving for the time taken for the balls to hit the ground easier.
\(d_y = v_yt + \frac{1}{2}at^2\)
dy = vertical displacement (height of table, 0.85 m)
vy = initial vertical velocity (0 m/s, only horizontal)
a = acceleration (due to gravity in this situation, 9.8 m/s²)
t = time (? sec)
Simplify and rearrange the variables for 't'.
\(d_y = 0(t) + \frac{1}{2}at^2\\\\d_y = \frac{1}{2}at^2\\\\t^2 = \frac{2d_y}{a}\\\\t = \sqrt{\frac{2d_y}{a}}}\)
Plug in the given values.
\(t = \sqrt{\frac{2(0.85)}{9.8}} = \boxed{0.4165 s}\)
B)
Now, remember that the ball's acceleration in the vertical direction due to gravity does NOT impact its horizontal velocity. Its vertical and horizontal velocities are COMPLETELY independent. Thus, we can simply use the time solved for above and each ball's respective velocities in the following kinematic equation:
\(d_x = v_xt\)
dₓ= horizontal displacement (? m)
vₓ = horizontal component of velocity (3.5 and 5.3 m/s for A and B respectively)
t = time (0.4165 s)
Solve for the distance traveled by each ball:
Ball A:
\(d_x = 3.5 * 0.4165 = \boxed{1.458 m}\)
Ball B:
\(d_x = 5.3* 0.4165 = \boxed{2.207 m}\)
In an experiment, a student measured the volume of a substance while the mass was changed. The student measured up to five kilograms. The graph of the data is plotted below.
A volume versus mass graph is shown with mass on the vertical axes from 1 to 10 kilograms and volume on the horizontal axis from 1 to 5 milliliters. A line from the origin through all points and beyond.
Which of the following is an error the student made in creating an accurate graph?
The axes and graph are based only on measured values.
The axes are labeled with the incorrect variables.
The plotted points do not show all data collected.
The title has the incorrect order for the variables.
The graph is incorrect because; the title has the incorrect order for the variables. Option D
What is a graph?We know that a graph is made up of two parts. It has two axes and these are what we call the parts of the graph. It is common that we would have the independent variable on the x axis and then we have the dependent variable on the y axis.
With this said, we would now have to look at the graph that has been attached so that we can be able to see what the error in the graph that has been plotted as shown is and how the error that is in the graph can be able to be correct as the student is trying to pass information by the use of a graph system.
The title of the graph can be seen to show that the volume rather than the mass is plotted on the y axis.
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A 50kg crate is being push on a horizontal floor at constant velocity. Given that the coefficient of kenitic friction between crate and floor is hk=0.1 . What is the push force?
Answer:
F = 49 N
Explanation:
For this exercise we must use Newton's second law. Let's set a reference frame with the x axis parallel to the floor.
As they indicate that the box is going at constant speed, its acceleration is zero
Y axis y
N-W = 0
N = mg
X axis
F-fr = 0
F = fr
the friction force has the formula
fr = μ N
fr = μ mg
we substitute
F = μ m g
let's calculate
F = 0.1 50 9.8
F = 49 N
A 125 kg wrecking ball on a 15.4 m
long cable is pulled back to an
angle of 33.5° and released. How
much KE does it have at the
bottom of its swing?
(Unit = J)
here is the answer hope it will help
A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How much additional distance will the car move during the second second of its motion?
Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.
In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.
The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.
A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.
Therefore, the distance traveled during the second second is 1/2 * acceleration \(* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a\) Since the car moved 2.0 meters in the first second, it means the acceleration is\(2m/s^2\), and the distance traveled during the second second is 1/2 * 2 = 1 meters.
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a ball dropped from a height of 10 meters will bounce more times before coming to rest than a ball dropped from a height of 5 meters. Use evidence and scientific reasoning to explain this phenomenon.
Answer:
plz mark brainliest again lol :)
Explanation:
When you drop a ball from a greater height, it has more kinetic energy just before it hits the floor and stores more energy during the bounce—it dents farther as it comes to a stop.
Answer:
When you drop a ball from a greater height, there is more potential energy. When you release the ball, the potential energy turns into kinetic energy. When the ball bounces off the ground, the ball go upward and then it has more potential energy. Then when it goes down it has more kinetic energy. The ball keeps doing this until there is not enough potential energy left.
Explanation:
A tourist, who weighs 805 N, is walking through the woods and crosses a small horizontal bridge. The bridge rests on two concrete supports, one at each end. He stops one-fourth of the way along the bridge. Assume that the board of the bridge has negligible weight. What is the magnitude of the vertical force that a concrete support exerts on the bridge at the far end?
The magnitude of the vertical force that a concrete support exerts on the bridge at the far end is 201.25 N.
What is force?The force is an action of push or pull which makes a body to move or stop.
Given is the weight of tourist W = 805 N and L is the length of the bridge.
Let the reaction force at both the ends of the bridge is R1 and R2.
Taking the moments about point A,
R1 x 0 - W x L/4 +R2 x L =0
R2 = W/4
R2 = 805 /4
R2 = 201.25 N
Thus, the magnitude of the vertical force that a concrete support exerts on the bridge at the far end is 201.25 N.
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What is a small portable device that counts every step taken throughout the day?
A.stethoscope
B.pedometer
C.otoscope
D.thermometer
Answer: B
Explanation: i learned it last year
Pedometer is a small portable device that counts every step taken throughout the day. The correct option is (B).
A pedometer is a small portable device that counts the number of steps taken by an individual throughout the day. It is typically worn on the waist or carried in a pocket and uses a mechanism to detect body motion and count each step.
Pedometers are commonly used for tracking physical activity and encouraging individuals to achieve daily step goals as part of their fitness routines.
Therefore, Pedometer is a small portable device that counts every step taken throughout the day. Choose the option (B).
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A force of 64 N gives an object an acceleration of 23.53 m/s^2. What is the mass of the object?
A-2.00 kg
B-1505 kg
C-2.72 kg
D-736 kg
If a planet has an orbital eccentricity equal to 0.70, then its orbit is
Closer to a perfect circle then a straight line
Almost rectangular
A very elongated ellipse
Almost parabolic
If a planet has an orbital eccentricity equal to 0.70, then its orbit is
a very elongated ellipse.What is eccentricity?Eccentricity is a measure of how squashed an ellipse is compared to a perfect circle.
The value of eccentricity ranges from 0 to 1, where 0 represents a perfect circle and 1 represents a parabolic orbit (which is not a closed orbit).
An eccentricity of 0.70 indicates that the planet's orbit is significantly elongated and not close to a perfect circle.
Therefore, the correct answer is - A very elongated ellipse.
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Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF
The mass of Car B is -6000 kg.
To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
Therefore, we can write the equation for the conservation of momentum as:
(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision
Let's substitute the given values into the equation:
(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)
Simplifying the equation:
20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)
Dividing both sides by -5 m/s:
-4000 kg = 2000 kg + mass of Car B
Subtracting 2000 kg from both sides:
mass of Car B = -4000 kg - 2000 kg
mass of Car B = -6000 kg
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Compare and contrast, in detail, at least two types of pluralism. Do you think the United States is becoming more pluralistic? Why or why not? How do ethnic enclaves relate to pluralism in the US?
a. There are two main types of pluralism: cultural and political
b. Yes, the United States is becoming more pluralistic
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US.
a. Pluralism refers to the coexistence of multiple cultures, religions, and ethnicities within a society. There are two main types of pluralism: cultural and political. Cultural pluralism emphasizes the preservation of distinct cultural traditions, while political pluralism emphasizes the equal representation of different groups within the political system.
Cultural pluralism is often associated with the idea of multiculturalism, which recognizes and celebrates the diversity of different cultures. This type of pluralism acknowledges the importance of cultural differences and encourages individuals to maintain and express their cultural identities. In contrast, political pluralism emphasizes the importance of equal representation of different groups within the political system. This can take the form of proportional representation in government or equal access to political power for different groups.
b. The United States is becoming more pluralistic, as the population becomes more diverse and the importance of multiculturalism and political pluralism is increasingly recognized. The country is home to many different ethnic and cultural groups, and these groups are increasingly visible in politics and society. This is evident in the increasing number of ethnic and cultural enclaves, which are areas where different ethnic groups live in close proximity to one another.
c. Ethnic enclaves can be both a positive and negative aspect of pluralism in the US. On the one hand, they allow individuals to maintain their cultural traditions and create supportive communities. On the other hand, they can also lead to segregation and exclusion, as different groups may be reluctant to interact with one another. In order to promote a positive form of pluralism, it is important to encourage interaction and understanding between different groups, while also respecting and celebrating their distinct cultural identities.
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There are stars located in the center bulge of the Milky Way and the spiral arms of the Milky Way. What is the difference between the stars at the center bulge and the stars in the arms?
Answer:
The stars at the center bulge are bigger and brighter than the stars in the arms.
Explanation:
The difference between the stars at the center bulge and the stars in the arms is that the stars at the center bulge are bigger and brighter than the stars in the arms.
What is galaxy?A collection of the stars, gases and dust is known as a galaxy.
The Milky Way is a galaxy to which our solar system belongs.
Also, The shape of the milky way is spiral.
There are stars located in the center bulge of the Milky Way and the spiral arms of the Milky Way.
It is known that in a galaxy which has a spiral shape, the gases, dust, and stars are organized in such a way that they form a bulge or a disk in the center with spiral arms surrounding it.
Therefore, the structure of the milky way is best described by the statement a core with spiral arms.
The difference between the stars at the center bulge and the stars in the arms is that the stars at the center bulge are bigger and brighter than the stars in the arms.
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A student takes the temperature of a bottle of liquid water and a tub filled with ice. The student then places the bottle of liquid water into the tub of ice. After 15 minutes, which of the following best describes what happens to the temperature of each?
There will be exchange of heat in the system, the tub filled with ice will gain heat, while the bottle of liquid will lose heat.
The flow is made possible by means of convection which implies heat flow from region of higher concentration to region of low concentration
by actual movement of material particles
There are basically three modes of heat transfer
RadiationConvectionConductionLearn more:
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Explanation:
if you go to connexus and are doing the science
Thermal Energy Unit Test 10 qestions 8th grd unit 5 test lesson 12 here are the correct answers
1. A. metal is heated from room temperature to 200'C.
2. B. The particles will have more space between them as steam, but they will be moving at the same speed in both states.
3. C. The potential energy decreases due to the tighter arrangement of the particles.
4. B. an increase in heat and an increase in kinetic energy until a phase change occurs.
5. C. thermometer
6. B. 4.
7. D. convection
8. C. Air moves from the areas of higher temperature to areas of lower temperature.
9. C. The temperature of the ice increases, while the temperature of the water decreases
10. A. heat transfer by radiation.
i hope this helps and please let me know if it does! = ) <3
the force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of its speed and inversely as the radius of the curve. It takes 2,600 lbs of force to keep a 1,800 lb car from skidding on a curve with a radius of 425 ft at 45 mph. What force (in lbs) is needed to keep the same car from skidding when it takes a similar curve with a radius of 450 ft at 55 mph? round to the nearest 10 lbs. _____ lb
Answer:
3670 lb.
Explanation:
If we measure the force in pounds, distance in ft and time in hours, then the force need to keep the car from skidding is given by
\(F=k\frac{wv^2}{R}\)where k is a constant, w = weight, R = radius of the path, and v = velocity of the car.
Now we know that when v = 45 mph, w = 1800 lb, R = 425, and F = 2600 lb; therefore,
\(2600=k\frac{1800\cdot(45)^2}{425}\)and we need to solve for k.
simplifying the above gives
\(2600=k(8576.4705.\mathrm{})\)solving for k gives
\(\boxed{k=\frac{221}{729}}\)Now that we have the value of k, we can find the force needed for
There seemes to be a technical issue with the answer tab. So I wont be able to complete the explanation. But you can find the force by F = (221/729)*(1800*(55^2))/450.
2. How much heat energy is required to change an ice cube of mass m=720g from ice at a temperature of -10˚C to water at temperature of 15˚C? (specific heat capacity of ice=2220J/kgK, specific heat capacity of water=4187J/kgK and the latent heat fusion of ice=3330J/K)
The amount of heat required to change the ice cube of mass 720 g from ice at a temperature of -10 ˚C to water at temperature of 15 ˚C is 300963.6 J
How do i determine the heat required?First, we shall obtain the heat required to change the ice from -10 ˚C to 0 °C. Details below:
Mass of ice (M) = 720 g = 720 / 1000 = 0.72 KgInitial temperature of ice (T₁) = -10 °CFinal temperature of water (T₂) = 0 °CChange in temperature of water (ΔT) = 0 - (-10) = 10 °CSpecific heat capacity of ice (C) = 2220 J/KgKHeat (H₁) =?H₁ = MCΔT
H₁ = 0.72 × 2220 × 10
H₁ = 15984 J
Next, we shall obtain the heat needed to melt the ice. Details below:
Mass of ice (m) = 0.72 KgLatent heat of fusion (ΔHf) = 333000 J/KgHeat (H₂) =?H₂ = m × ΔHf
H₂ = 0.72 × 333000
H₂ = 239760 J
Next, we shall determine the heat required to change the water from 0 °C to 15 °C. Details below:
Mass of water (M) = 0.72 KgInitial temperature of water (T₁) = 0 °CFinal temperature of water (T₂) = 15 °CChange in temperature of water (ΔT) = 15 - 0 = 15 °CSpecific heat capacity of water (C) = 4187 J/gK Heat (H₃) =?H₃ = MCΔT
H₃ = 0.72 × 4187 × 15
H₃ = 45219.6 J
Finally, we shall determine the heat required to change the ice from -10 ˚C to water at temperature of 15 ˚C Details below:
Heat required to change the ice from -10 ˚C to 0 °C (H₁) = 15984 JHeat required to melt the ice (H₂) = 239760 JHeat required to the water from 0 °C to 15 °C (H₃) = 45219.6 JTotal heat required (Q) =?Q = H₁ + H₂ + H₃
Q = 15984 + 239760 + 45219.6
Q = 300963.6 J
From the above calculations, we can conclude that the heat required to change the ice from -10 ˚C to water at 15 ˚C is 300963.6 J
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best answer gets brainliest!
Answer:
Both pairs have four pairs of perpendicular sides.
Explanation:
A rectangle and a square both have four right angles and four perpendicular lines.
Answer:
C
Explanation:
/asjfnkcabcsdjfjg ncmiaulxnwAIU CAIYSHDTCBA
An airplane is traveling at 940 km/h. How long does it take to travel 2.00 km?
Answer:
Explanation:
Since the path an airplane travels is pretty much horizontal, then acceleration in this dimension is 0 and the equation we use is strictly the d = rt one. Here we use it and solve for t:
\(t=\frac{d}{r}\) and filling in:
\(t=\frac{2.00}{940}\) so
t = .002 hrs which is the same as 7.2 seconds
A force of 200 N is exerted on an object of mass 80 kg that is located on a sheet of perfectly smooth ice. What is the acceleration of the object?
Answer:down below
Explanation: Mass of first object = 40 kg
Mass of similar second object = 40 kg
Total mass = 40+40 = 80 kg
Force = 200 N
S
Force = Mass × Acceleration
200 = 80 × Acceleration
Acceleration = 200/80 = 2.5 m/s²
In lab, your instructor generates a standing wave using a thin string of length L = 2.25 m fixed at both ends. You are told that the standing wave is produced by the superposition of traveling and reflected waves, where the incident traveling waves propagate in the +x direction with an amplitude A = 2.55 mm and a speed vx = 14.5 m/s . The first antinode of the standing wave is a distance of x = 37.5 cm from the left end of the string, while a light bead is placed a distance of 18.8 cm to the right of the first antinode. What is the maximum transverse speed vy of the bead? Make sure to use consistent distance units in your calculations.
Explanation:
The maximum transverse speed vy of the bead can be found using the equation:
vy = Aωcos(kx)
where A is the amplitude of the traveling wave, ω is the angular frequency of the standing wave, k is the wave number of the standing wave, and x is the distance of the bead from the left end of the string.
First, we can find the angular frequency of the standing wave using the equation:
ω = 2πf
where f is the frequency of the standing wave. The frequency of the standing wave can be found using the equation:
f = nv/2L
where n is the harmonic number (which is 2 for the first antinode), v is the speed of the wave (which is the same as the speed of the traveling wave, vx = 14.5 m/s), and L is the length of the string.
Substituting the given values, we get:
f = (2)(14.5 m/s)/(2)(2.25 m) = 6.44 Hz
ω = 2πf = 2π(6.44 Hz) = 40.4 rad/s
Next, we can find the wave number of the standing wave using the equation:
k = nπ/L
where n and L are the same as before.
Substituting the given values, we get:
k = (2)(π)/(2.25 m) = 2.77 rad/m
Finally, we can find the maximum transverse speed vy of the bead using:
vy = Aωcos(kx)
where x is the distance of the bead from the left end of the string, which is 37.5 cm + 18.8 cm = 56.3 cm = 0.563 m.
Substituting the given values, we get:
vy = (2.55 mm)(40.4 rad/s)cos[(2.77 rad/m)(0.563 m)]
vy = (2.55 × 10^-3 m)(40.4 rad/s)cos(1.56 rad)
vy = (1.03 × 10^-1 m/s)
Therefore, the maximum transverse speed vy of the bead is approximately 0.103 m/s.
PLEASE HELP and show work, thank you !!
-The top speed of a Utahraptor is about 9 m/s. How long would it take a Utahraptor to run 1500 m if it accelerates from rest to 9 m/s? Assume acceleration is constant and it reaches its top speed at exactly 1500 m from its starting point.
Answer:
2.94 s
Explanation:
v = u + at
where:
v = final velocity = 9 m/s
u = initial velocity = 0 m/s (rest)
a = acceleration
t = time taken to reach final velocity
We can rearrange the equation to solve for time:
t = (v - u) / a
Substituting the given values, we get:
t = (9 m/s - 0 m/s) / a
Now, we need to find the acceleration. We can use another kinematic equation:
s = ut + (1/2)at^2
where:
s = displacement = 1500 m
u = initial velocity = 0 m/s
a = acceleration
t = time taken to cover the displacement
We can rearrange the equation to solve for acceleration:
a = 2(s - ut) / t^2
Substituting the given values, we get:
a = 2(1500 m - 0 m) / (1500 m / 9 m/s)^2
Simplifying, we get:
a = 3.06 m/s^2
Now, we can substitute this value of acceleration in the earlier equation to find the time taken:
t = (9 m/s - 0 m/s) / 3.06 m/s^2
Simplifying, we get:
t = 2.94 s
A certain car can accelerate from 0 to 100 km/hr in 6.0 seconds what is the average acceleration of the car in m/s^2
Answer:
GIVEN :-Initial velocity = 0 × 5/18 = 0 m/s
Final Velocity = 100 × 5/18 = 27.77 m/s
Time = 6 sec
TO FIND :-Acceleration
SOLUTION :We know that
a = v - u/t
a = 27.77 - 0/6
a = 27.77/6
a = 4.6 m/s²
\( \\ \)
The average acceleration of the car is equal to 4.63 m/s².
What is the average acceleration?The average acceleration is the change in velocity of an object divided by the elapsed time. Acceleration for an object can be described as the rate of change of velocity of the body.
The average acceleration for an interval is the change in velocity for that interval per time. So, the mathematical expression for the average acceleration can be written as:
Average acceleration (a) = △v/△t
If 'u' is the initial velocity and 'v' is the final velocity, and t is the time for the change of the velocity from u to v then a = v - u.
Given, the initial velocity of the car, u = 0
The final velocity of the car, v = 100 Km/hr = 27.77 m/s
The time is taken to change the velocity from 0 to 100 km/hr, t = 6 s
The average acceleration = (27.77 - 0)/6 = 4.63 m/s²
Therefore, the average acceleration of the car is equal to 4.63 m/s².
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at what speed is the top of the ladder along w the electrician sliding down the wall at that instant
The given problem can be exemplified in the following diagram:
We are given that a ladder is against a wall. According to the diagram, the ladder, the wall, and the floor form a right triangle, therefore, if "T" is the distance from the top to the floor and "B" is the distance from the bottom to the wall we can apply the Pythagorean theorem and we get:
\(T^2+B^2=14^2\)Now, since we want to know the speed, we will derivate implicitly with respect to time on both sides of the equation:
\(2T\frac{dT}{dt}+2B\frac{dB}{dt}=0\)Now we solve for the value of the speed of the top of the ladder, this is dT/dt:
\(2T\frac{dT}{dt}=-2B\frac{dB}{dt}\)The 2 cancels out:
\(T\frac{dT}{dt}=-B\frac{dB}{dt}\)Now we divide both sides by "T":
\(\frac{dT}{dt}=-\frac{B}{T}\frac{dB}{dt}\)Now, since we determine the value of "T" from the Pythagorean theorem, we get:
\(T^2+B^2=14^2\)Subtracting B squared from both sides:
\(T^2=14^2-B^2\)Taking the square root:
\(T=\sqrt[]{14^2-B^2}\)Now we replace these values in the formula for the velocity:
\(\frac{dT}{dt}=-\frac{B}{\sqrt[]{14^2-B^2}}\frac{dB}{dt}\)Now we have an expression for the velocity of the top of the ladder. Replacing the given values:
\(\frac{dT}{dt}=-\frac{6ft}{\sqrt[]{14^2-(6ft)^2}}(1\frac{ft}{s})\)Solving the operations we get:
\(\frac{dT}{dt}=-0.47\frac{ft}{s}\)Therefore, the speed of the top of the ladder is -0.47 feet per second.
Which two factors determine the force of gravity between two objects?
mass and size
distance and mass
distance and inertia
mass and weight
Answer:
Distance and Mass
Explanation:
Look at the diagram showing the different wavelengths in sunlight.
A diagram showing the human eye and visible light. Visible light is broken down by color with wavelength in nanometers. Red is 700, orange is 600, yellow is 580, green is 550, blue is 475, indigo is 450, violet is 400.
Which has a wavelength of 350 nanometers?
red light
violet light
infrared light
ultraviolet light
Answer:
ultraviolet light
plz mark me as brainliest.
Answer:
Ultra violet
Explanation:
A racecar accelerates at a rate 19 m/s each second. If the mass of the race car is 1600 kg, determine the net force acting on the car.
30,400 N
8,400 N
84 N
300 N.
Answer:
\(19 \times 16000\)
According to the question,
Mass, m = 1600 kgAcceleration, a = 19 m/sForce:We know,
→ \(Force = Mass\times Acceleration\)
By substituting the values, we get
\(= 1600\times 19\)
\(= 30400 \ N\)
Thus the above answer is right.
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Why cant an object become positively charged by gaining protons?
Answer:
An object can become positively charged by losing electrons, but it cannot become positively charged by gaining protons. This is because the charge on an object depends on the balance of protons and electrons it has. Protons have a positive charge, while electrons have a negative charge. So, when an object gains electrons, it becomes negatively charged because it now has more negative charges than positive charges. On the other hand, when an object loses electrons, it becomes positively charged because it now has more positive charges than negative charges.
However, protons cannot be gained or lost easily because they are tightly bound within the atomic nucleus of an atom, and they are not free to move around like electrons. Therefore, the only way for an object to become positively charged is to lose electrons, not by gaining protons.
Explanation:
Question 4 of 25
A person drops two objects from the same height. One object weighs 15 N,
and the other weighs 10 N. How does the mass of the objects relate to the
force of gravity on them?
A. The 15 N object has twice the mass of the 10 N object.
B. The 15 N object has more mass than the 10 N object.
C. The 10 N object has more mass than the 15 N object.
D. The 10 N object has the same mass as the 15 N object.
A machine part consists of three heavy disks linked by struts of negligible weights as shown in the figure. Calculate the moment of inertia of the body about an axis through the centre of disk A and the kinetic energy, if the body rotates about an axis through A perpendicular to the plane of the diagram, with angular speed ω = 6.0 rads-1..
if the values of mass (m) and radius (R) are provided, the moment of inertia of the body about an axis through the center of disk A can be calculated as (3/2) * m * R^2, and the kinetic energy of the rotating body would be 162 * m * R^2 Joules.
To calculate the moment of inertia of the body about an axis through the center of disk A, we need to consider the moment of inertia contributions from each individual disk and add them up.
Let's denote the moment of inertia of each disk as I_A, I_B, and I_C, respectively. The moment of inertia of a disk rotating about its center can be calculated using the formula:
I = (1/2) * m * r^2
Where m is the mass of the disk and r is its radius.
Since the struts have negligible weight, we can assume that each disk has the same mass.
Let's assume the mass of each disk is m and the radius of each disk is R.
The moment of inertia of disk A (I_A) is given by:
I_A = (1/2) * m * R^2
The moment of inertia of disk B (I_B) and disk C (I_C) will be the same since they have the same mass and radius:
I_B = I_C = (1/2) * m * R^2
The total moment of inertia of the body about the axis through the center of disk A (I_total) is the sum of the individual moment of inertias:
I_total = I_A + I_B + I_C
= (1/2) * m * R^2 + (1/2) * m * R^2 + (1/2) * m * R^2
= (3/2) * m * R^2
To calculate the kinetic energy of the rotating body, we can use the formula:
Kinetic Energy = (1/2) * I_total * ω^2
Substituting the given values:
Kinetic Energy = (1/2) * ((3/2) * m * R^2) * (6.0 rad/s)^2
Simplifying further, if the values of m and R are given, we can calculate the moment of inertia and kinetic energy.
Assuming that the values of mass (m) and radius (R) are given, we can calculate the moment of inertia (I_total) and kinetic energy.
For the given values of ω = 6.0 rad/s and the previously calculated I_total:
I_total = (3/2) * m * R^2
Kinetic Energy = (1/2) * I_total * ω^2
= (1/2) * [(3/2) * m * R^2] * (6.0 rad/s)^2
= (9/2) * m * R^2 * (36.0 rad^2/s^2)
= 162 * m * R^2 Joules
Therefore, if the values of mass (m) and radius (R) are provided, the moment of inertia of the body about an axis through the center of disk A can be calculated as (3/2) * m * R^2, and the kinetic energy of the rotating body would be 162 * m * R^2 Joules.
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A solid cube just gets completely immersed in water when
a 0.5 kg mass is placed on it. If the mass is removed, the cube
is 5 cm above the water level. What is the length of each side of the cube?
(Density of water =1 kg/L
A. 8 cm
B. 10 cm
C. 20 cm
D. 6 cm
If possible can you also explain the answer.
Thank you!
Answer:
B. 10 cm
x^3 = 1 L
1 L = 1000 cm^3 (since 1 L = 1000 cm^3)
x^3 = 1000 cm^3