Answer:
2 inches
Explanation:
Volume of a sphere = 4/3 pi r^3
for the EIGHT balls total volume = 8 * 4/3 pi (1^3) = 32/3 pi
This is the volume of the made-up ONE ball
4/3 pi r^3 = 32/3 pi
4/3 r^3 = 32/3
r^3 = 32/3 * 3/4
r^3 = 8
r = 2 inches
Nan suitcase has a mass of 14 kg how much potential energy does it gain when she lifts it onto a bench that is 40 cm tall
The potential energy of Nan suitcase of mass 14 kg is 54.88 J.
What is Potential energy?Potential energy is the energy of a body due to its position in the gravitational field.
To calculate the potential energy, we use the formula below
Formula:
P.E = mgh............... Equation 1Where:
P.E = Potential energym = Massg = Acceleration due to gravityh = HeightFrom the question,
Given:
m = 14 kgg = 9.8 m/s²h 40 cm = 0.4 mSubstitute these values into equation 1
P.E = 14×9.8×0.4P.E = 54.88 JHence, the potential energy is 54.88 J.
Learn more about potential energy here: https://brainly.com/question/14427111
#SPJ1
Write a decomposition chemical reaction caused by light.
A decomposition chemical reaction caused by light is the decomposition of hydrogen peroxide.
It is represented by the following equation:
[tex]2 H_{2} O_{2}(aq)[/tex] → [tex]2 H_{2}O(l)[/tex] [tex]+ O_{2} (g)[/tex]
The decomposition of hydrogen peroxide is a chemical reaction in which hydrogen peroxide is broken down into its component parts: water and oxygen gas.
This reaction is typically caused by the absorption of light energy, which causes the chemical bonds within the hydrogen peroxide molecule to break.
This reaction is often used as a demonstration of the principles of light-induced decomposition reactions, as it is relatively simple and easy to observe.
Learn more about decomposition:
https://brainly.com/question/16987748
How much work is needed to overcome friction in a machine
depends on the machine's [blank]
The force that prevents motion between any two surfaces that are contacting is called friction. Every machine has friction because it involves motion. As a result, efficiency is never 100 percent.
What proportion of the work a user inputs into a machine is actually completed by the machine?Efficiency is the proportion of user-inputted work (input work) that is converted into output work by a machine (output work). Because some of the input work is used to overcome friction, the output work is always less than the input work.
Do all devices eliminate friction?The force that would grow or decrease in the absence of friction is reflected in the ideal mechanical advantage of a machine. It is consistently larger.
To know more about friction visit:-
https://brainly.com/question/13000653
#SPJ1
A 663 g ball strikes a wall at 12.2 m/s and rebounds at 10.4 m/s. The ball is in contact with the wall for 0.046 s. What is the magnitude of the average force acting on the ball during the collision
The Force acting on the ball during collision is 25.9 N.
To calculate the magnitude of the average force, we use the formula below.
F = m(v-u)/t..........Equation 1
Where:
F = Average force acting on the ball
m = mass of the ball
v = Final velocity
u = Initial velocity
t = time.
From the question,
Given:
m = 663 g = 0.663 kgv = 12.2 m/su = 10.4 m/st = 0.046 sSubstitute these given values into equation 1
F = 0.663 (12.2 -10.4 )/0.046
F = 25.9 N
Hence, The Force acting on the ball during collision is 25.9 N
Learn more about force here:
brainly.com/question/12970081
#SPJ4
If researchers failed to take into account the effect of air resistance on the pitch, how would it impact their measurements of the efficiency of energy transfer from the arm to the baseball
The efficiency of energy transfer from the arm to the baseball would be lower than the actual efficiency, as there was a higher initial velocity at release.
In order to answer this question, we must look at the experimental design and assess how air resistance would affect the scientists' computations. The ball's velocity would be reduced as it moved from the mound to home plate, where the velocity was measured, due to air resistance.
Therefore, the measured velocity ought to be lower than the release velocity. As a result of the baseball's predicted energy being lower due to the lowered velocity, the efficiency of the energy transfer from the arm to the ball will also be lower.
To know more about baseball:
https://brainly.com/question/9562240
#SPJ4
where does sound travel faster(the desert or the forest)?
Answer:
forest
Explanation:
cause of the echo
Answer:
forest
Explanation:
very spacious enough to make echo
a mass m is moving horizontally across a frictionless floor with velocity v. The mass now encounters
Option B is V2/Mg gives the total distance travelled by the mass before it is slowed to a stop by friction
The total distance traveled by the mass before it is slowed to a stop by friction can be determined by calculating the work done by the force of friction on the mass. As we have seen before, the force of friction acting on the mass is given by the equation F = friction = umg.
Now, the work done by the force of friction on the mass is given by W = Fd. Using the definition of force of friction and assuming that the final velocity of the mass is zero, we can write the following equation:
umgd = (1/2)mv^2
Dividing both sides by m*g and simplifying the equation we get:
d = (1/2) * u^-1 *v^2 /g
If we compare this expression with the options provided, we can see that it matches with option B: V^2/Mg. Therefore, the total distance traveled by the mass before it is slowed to a stop by friction is given by V^2/Mg.
Learn more about mass here:
https://brainly.com/question/19694949
#SPJ4
The complete question is :
With velocity, a mass moves horizontally along a nearly frictionless floor. The mass now comes into contact with a section of the floor that has a coefficient of kinetic friction equal to Which option gives the total distance travelled by the mass before it is slowed to a stop by friction?
Option A is 2V2/Mg.
Option B is V2/Mg
a 6 meter ladder is against a wall. if its bottom is pull at a constant of 0.5 m/sec, how fast is the ladder top sliding when it reaches 3 metersuo the wall
Hence, the ladder top to touch ground the ladder base should pull back a distance of ( 6 - 3 ) = 3 meters on ground As the rate of sliding of base of ladder is 0.5 meter per second , it takes a time of [ 3/ (0.5) ] = 6 seconds.
What is a simple definition of distance?What is Distance? Distance is the total movement of an object without any regard to direction. We can define distance as to how much ground an object has covered despite its starting or ending point.
How is a distance measured?Distance measures length. For example, the distance of a road is how long the road is. In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.
To know more about distance visit
https://brainly.com/question/13793384
#SPJ4
A 0.480 kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.05 s
The mass added to the object to change the period to 2.05 s is 0.42 kg
What is the time period of an oscillation?
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle.
Given :
A 0.480-kg mass suspended from a spring oscillates with a period of 1.50 s.
The formula of the time period is given by:
[tex]T=2\pi \sqrt{m/K}[/tex] ------(1)
where m is the mass and K is the spring constant.
The new time period is given by:
[tex]T'=2\pi \sqrt{m^{'} /K[/tex]-----(2)
where m' is the total mass after the addition and K is the spring constant.
Dividing equation (1) by equation (2).
[tex]T/T'=\sqrt{m/m'}[/tex]
Now, substitute the known terms in the above expression.
[tex]\frac{1.50}{2.05} =\sqrt{0.480/m'}[/tex]
[tex]m'=\frac{0.480}{0.5329}[/tex]
[tex]m'=0.9[/tex] kg
Now, the mass added to the object to change the period to 2.05 s is given by:
m" = 0.9 - 0.480
m" = 0.42 Kg
Thus, 0.42kg of mass must be added to the object to change the period to 2.05s.
To know more about the time period :
https://brainly.com/question/26146375
#SPJ4
A box of weight 150 N is placed on
an inclined plane. The component
of the box's weight acting along
the plane is given by W'. What
would be the value of W", in
Newtons?
The value W' along inclined plane = (150 sin α ) N
W = m x g = 150 N --> based on case
W = weigth
m = massa
g = gravity acceleration
Fn = Normal force
Fn = m x g x cos α = W cos α = 150 N x cos α
W’ = m x g x sin α = W sin α = 150 N x sin α
Since the angle α is not known it will be still variable, so we could say that the W’ = (150 sin α ) N
Learn more about inclined planes at
https://brainly.com/question/14983337
#SPJ4
true or false Visual inspection of the brake drum friction surface is not required, only measure drum diameter.
It is False that Visual inspection of the brake drum friction surface is not required, only measure drum diameter.
What serves as a brake drum?No matter whether the vehicle is moving forward or backward, drum brakes produce uniform braking force. Drum brakes produce the same amount of braking force in both directions, which explains this. This kind is typically utilized for the passenger car's rear brakes.
Unusual brake pedal sensation is one of the first indications when drum brakes are damaged or failing. Excessive brake drum wear might result in vibrations that can be felt in the pedal. When you press the pedal, any trembling or pulsating brought on by worn drums will be audible.
To learn more about brake drum from given link
https://brainly.com/question/21131150
#SPJ4
Will day and night on Earth be different if the planet did not rotate?
(i) Object A has a charge of +2 µC, and object B has a charge of +6 µC. Which of the following statements is true about the electric forces on the objects? (a) F_{ AB }=-3 F_{ BA }F AB =−3F BA
(b) F_{ AB }=- F_{ BA }F AB =−F BA
(c) 3F_{ AB }=- F_{ BA }3F AB =−F BA
(d) F_{ AB }= 3 F_{ BA }F AB =3F BA
(e) F_{ AB }= F_{ BA }F AB =F BA
(f ) 3F_{ AB }= F_{ BA }3F AB =F BA
The electric force between objects A and B is F_{ AB }=- F_{ BA }.
What is charge ?
Charge is a fundamental property of matter that is related to electricity. It is an electrical property that allows matter to experience a force when placed in an electric field. Charge can be either positive or negative. Positive charge is the opposite of negative charge, and vice versa. Charge is measured in coulombs (C).
The electric force between two objects is determined by Coulomb’s Law, which states that the magnitude of the force is proportional to the product of the charges and inversely proportional to the square of the distance between the two objects. Therefore, the electric force between objects A and B is F_{ AB }=- F_{ BA }.
To learn about more charge
https://brainly.com/question/18102056
#SPJ4
Athletes such as swimmers and bicyclists wear body suits in competition. Formulate a list of pros and cons of such suits.
There is a drag force that opposes a person's motion while they are moving through a fluid, whether it be air or liquid. Range of motion is constrained by the drag force. Drag force is overcome by the suits. The drawback is overheating.
A bodysuit's main function is to give you support and a seamless tuck-in so you may dress comfortably and easily. Bodysuits can be skin-tight or loose, and because of the tension they create from the shoulders to the crotch, they can embrace your curves and serve as the ideal foundation for whichever bottom you choose.
They can be warm and tight or very thin - useful for warmth - or even be very light (say, 60g), cooling underwear. They are typically elastic and stretchy. They can serve as both underwear and outerwear, but a pair of trousers, pants, or a skirt must be worn below.
Benefits include being thin, warm or cooling, extremely snug, occasionally shapewear, suitable for layering, and warm without bulk (you can get a big deal from a 60g torso garment). fitting in.
They interfere with using the restroom and can occasionally make it difficult to distinguish their front from back sides. Typically, the longer portion of the crotch, called the tail, is at the back. The bodysuits without arms, however, can also be worn buttoned up.
To learn more about Body suits from given link
https://brainly.com/question/10619818
#SPJ4
Where does counter-current flow happen?
When the filtrate moves through the two arms of the Henle's loop in directions that are diametrically opposed, countercurrent occurs.
For the medullary interstitial fluid to remain at a high osmolarity, Henle's loop's ascending limb is essential. These two limbs' close companion, the vasa recta, similarly has two opposing orientations of function. The hand can be significantly cooled without losing body heat because the deep veins are wrapped around the arteries, and the counter-current flow that results from this short-circuits the loss of body heat.
Over the course of their full interaction, the counter-current exchange system may keep the gradient between the two flows practically constant. This can result in practically all of the property transferring if the length and flow rate are both sufficient.
To know more about countercurrent
https://brainly.com/question/28137052
#SPJ4
Select the correct anwer from each drop-down menu. When a looe brick i reting on a wall, it ha
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy. When the brick i puhed off the wall and i falling down, the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i decreaing while the amount of
[ Select ]
(. )kinetic (. )potential (. )both kinetic and potential energy i increaing
When a loose brick is resting on a wall, it has potential energy. When the brick is pushed off the wall and is falling down, the amount of potential energy is decreasing while the amount of kinetic energy is increasing.
Kinetic energy is motion––of waves, electrons, atoms, molecules, substances, and objects. Potential energy is stored energy and the energy of position––gravitational energy. There are several forms of potential energy.
Conservation of energy is not saving energy. The law of conservation of energy says that energy is neither created nor destroyed. When we use energy, it doesn’t disappear. We change it from one form of energy into another.
A car engine burns gasoline, converting the chemical energy in gasoline into mechanical energy. Solar cells change radiant energy into electrical energy. Energy changes form, but the total amount of energy in the universe stays the same.
Energy efficiency is the amount of useful energy you get from a system. A perfect, energy-efficient machine would change all the energy put in it into useful work—an impossible dream. Converting one form of energy into another form always involves a loss of usable energy.
To know more about kinetic energy here
https://brainly.com/question/12337396
#SPJ4
A 3 kg toy car is moving at 4 m/s. Calculate the Ek if the car were moving TWICE as fast. Include units
The kinetic energy would be 96 J, for the car moving at 4m/s and with 3kg mass.
The kinetic energy (Ek) of the toy car is given by Ek = ½ mv2, where m is the mass of the car (3 kg) and v is the velocity (4 m/s). Thus, the kinetic energy of the car is 24 J. If the car were moving twice as fast (8 m/s), the kinetic energy would be 96 J. The units are Joules (J).
What is kinetic energy?Kinetic energy is the energy of a body or system due to its motion. It is the energy that an object has due to its motion. Kinetic energy is equal to one half of the mass of the object multiplied by the square of its velocity.
Learn more about Kinetic energy:
https://brainly.com/question/8101588
#SPJ4
Draw conclusions: Objects falling through air are slowed by the force of air resistance. Which objects were slowed the most by air resistance
Due to this air resistance, Galileo discovered that heavier or more dense things fall more quickly than less dense ones. Together, a brick and a feather fell. The feather falls more slowly due to air resistance.
Descending against air resistance an object often experiences some air resistance as it falls through the air. The leading surface of the object collides with air molecules, creating air resistance. Several variables affect how much air resistance the object really experiences.
Therefore, heavier things fall quicker than lighter ones because the force of gravity acting on them is greater. As a result, heavier objects accelerate at faster speeds until the force of air resistance acts on them.
To know more about air resistance
https://brainly.com/question/25748718
#SPJ4
How much work is done by the environment in the process shown in the figure? Express your answer with the appropriate units
IA Wasxt = Value Units Submit Previous Answers Request Answer incorrect; Try Again; 19 attempts remaining Part B Is energy transferred from the environment to the system or from the system to the environment? O Energy is transferred from the environment to the system. O Energy is transferred from the system to the environment. Submit
Wasxt is not good. As a result, the system transfers energy to the environment.
How is work completed?
Force may be used to transmit energy. The quantity of energy a force expended to move an item is referred to as the work done. The relationship between Work and Energy is so straightforward.
The work done by a force is calculated as the product of the object's displacement and its component of the applied force in the displacement direction.
Using energy efficiency
Ki + Ui + Wext = Kf + Uf + dEth
Substitute the value by data chart in above equation we get,
4 + 1 + Wasxt = 1 + 2 + 1
Wasxt = 4 - 5
Wasxt = -1 J
Since Wasxt is negative So energy is transferred from the system to the environment.
For such more question on Work and Energy .
https://brainly.com/question/22236101
#SPJ4
which of the following is not a petroleum product
a. rayon clothing
b. a candle
c. petrochemicals
d. wool
Answer:
wool
Explanation:
Wool comes from sheep. Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.
different between simple cell and dry cell
Answer:
Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.
A spinning disk has an initial angular speed of 12.5 rad/s. It is pushed by a kid with a constant angular acceleration of 3.41 rad/s2. a) What will be the angular speed in 5.26 s. What will be the angle turned in 5.26 s
The angle turned in 5.26 s is 6470 degrees. An initial angular speed of 12.5 rad/s and a constant angular acceleration of 3.41 rad/s2 are the characteristics of a pulley.
Does acceleration affect angular velocity?The angular acceleration provides the rate of change of angular velocity, just like in the case of linear velocity and acceleration: The rate at which the angular velocity varies is determined by the angular acceleration's magnitude, and the change's direction is determined by the direction.
What is the formula for angular acceleration?The rate at which angular velocity changes is referred to as angular acceleration. In an equation, angular acceleration is written as follows: = t, where t is the change in time and is the change in angular velocity.
To know more about angle turned visit:
brainly.com/question/29160335
#SPJ4
If 230 g of water is heated from 24°C to 100°C, how much energy would have been consumed?
Answer:
i believe it would be 64 kJ
Explanation:
A car drives to the right. There is a large amount of air resistance, and the car's engine provides the car's forward motion. Which force on the free-body diagram below represents the normal force acting on the car?
A force on the free-body diagram above which represents the normal force acting on the car include the following: D. Force A.
What is a free-body diagram?In Science, a free-body diagram can be defined as a graphical illustration which is typically used in the field of science to visualize moments, tension, and applied forces that are acting on an isolated or rigid object (body), while using arrows to point in the direction of these forces.
Since this car was driven to the right, with a large amount of air resistance acting on it, and its engine provides the forward motion, we can reasonably infer and logically deduce that the normal force which is acting on the car is represented by Force A as illustrated by the free-body diagram shown in the image attached above.
Read more on free-body diagram here: https://brainly.com/question/18770265
#SPJ1
What is the radius of the event horizon of this 10-Solar-mass black hole, in units of kilometers (km)
The radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
How do you calculate the radius of the event horizon?The radius of the event horizon of a black hole is known as the Schwarzschild radius and it is a function of the mass of the black hole. The Schwarzschild radius is given by the formula:
r = 2GM/c^2
where
r = radius of the event horizon (in meters)
G = gravitational constant (6.674 x 10^-11 N*(m/kg)^2)
M = mass of the black hole (in kg)
c = speed of light in a vacuum (2.998 x 10^8 m/s)
For a 10-Solar-mass black hole, we can use the mass conversion factor 1 Solar mass = 1.989 x 10^30 kg.
M = 10 x 1.989 x 10^30 kg
Now, we can substitute the values into the formula
r = 2 x 6.674 x 10^-11 x M/ (2.998 x 10^8)^2
r = 2GM/c^2 = 2 x 6.674 x 10^-11 x (10 x 1.989 x 10^30) / (2.998 x 10^8)^2
r = 2.95 x 10^3 m = 2950 kilometers
So, the radius of the event horizon of a 10-Solar-mass black hole is 2950 kilometers.
To know more about the Schwarzschild radius:
brainly.com/question/12647190
#SPJ4
Which of the following methods is used when an entire mole is removed for examination under a microscope
The method used when an entire mole is removed for examination under a microscope is called an excisional biopsy.
This method involves the surgical removal of the entire mole and some surrounding skin which is then examined under a microscope to check for any abnormal cells or signs of cancer. This method is typically used when a mole is suspected to be malignant or when it cannot be clearly diagnosed as benign through other methods such as a shave or punch biopsy.
The key benefit is that, as opposed to an incisional biopsy, when a bit of the tissue is taken to provide a diagnosis but it will likely still need to be treated later, the aberrant tissue may be identified, diagnosed, and removed in one operation.
Learn more about excisional biopsy here: https://brainly.com/question/29430351
#SPJ4
Select the correct answer. Imagine a Carnot engine has a hot reservoir of 680 K and a cold reservoir of 220 K. What is the efficiency of the engine
According to the given statement 67.7% is the efficiency of the engine.
What is efficiency ?A comparison of the energy output and input in a particular system is called efficiency in physics (and frequently in chemistry). Its definition is the proportion of output energy to input energy, which is provided by the equation: To describe energy in the form of heat or power, this equation is frequently utilized.
n = 1 - (QC/QH)
n = efficiency
QC = Cold Reservoir = 220 K
QH = Hot Reservoir = 680 K
n = 1 - (220 ÷ 680)(÷10)
n = 1 - (22 - 68) (2)
n = 1 - (11 ÷ 34 )
n = (34 - 11) ÷ 34
n = 23 ÷ 34
n = 0.676 * 100
n = 67.6
Therefore, 67.6% is the efficiency of the engine.
Learn more about efficiency from the given link.
brainly.com/question/13222283
#SPJ4
How much force is needed to accelerate a 63 kg skier at 6 m/s2?
Answer:
378 N
Explanation:
F = ma = (63 kg)(6 m/s²) = 378 N
A skier weighing 63 kg needs 189N of force to accelerate at 6 m/s. The magnitude of the force required to accelerate the sled is 91 newtons.
What is the necessary force to accelerate?An object's acceleration is equal to the net force acting on it divided by its mass, or a = F m, according to Newton's second law of motion. When the object's mass and the net force it is subjected to are known, this acceleration equation can be used to determine its acceleration.
By the second law of Newton, F = ma Add the following numbers:
F=189N F=63kg(2ms 2)
Which two formulas are used to determine acceleration?Formula for acceleration: there are three equations for acceleration:
a = (v_f - v_i) / t;a equals 2 / t2 (d - v_i t)a = F / m ;To learn more about Newton's second law here:
https://brainly.com/question/13447525
#SPJ1
Anxiety disorders can become a pathological disorder when feelings of apprehension and fear __________.
a. are recurrent for less than six months
b. are inherited due to genetics
c. become excessive, uncontrollable, and affect daily life
d. are controllable but excessive
please select the best answer from the choices provided a b c d
When feelings of anxiety and worry become excessive, out of control, and interfere with daily life, they can develop into pathological diseases called anxiety disorders. So the correct option is (c).
Anxiety disorders are characterized by feelings of apprehension and fear, which are normal human emotions. However, when these feelings become excessive, uncontrollable, and affect daily life, they can be considered a pathological disorder. Anxiety disorders can affect a person's ability to perform daily activities, such as work or school, and can also cause physical symptoms such as insomnia, muscle tension, and fatigue. These disorders can be recurrent, but they need to be excessive, uncontrollable, and affect daily life in order to be considered pathological.
To know more about anxiety disorders please refer: https://brainly.com/question/14756327
#SPJ4
A car accelerates uniformly from rest to 28.4 m/s in 8.26 s along a level stretch of road. Ignoring friction, determine the average power required to accelerate the car if (a) the weight of the car is 8.55 x 103 N, and (b) the weight of the car is 1.52 x 104 N.
According to the given statement (a) power in this case will be P=38,933.2428 Watts (b) power in this case will be P=91,788.4599\ W
Step: 1Average power is defined as the work done per unit time.
Work done can be found by change in kinetic energy.
[tex]W=Kf-Ki\\\\=\frac{1}{2}\mathrm{\ }m(Vf)^2-\frac{1}{2}\mathrm{\ }m(Vi)^2\\\\\Rightarrow\frac{m}{2}\left\{(28.4)^2-(0)^2\right\}\\\\=403.28\mathrm{\ }mJ oules.[/tex]
[tex]P=\frac{W}{t}=\frac{403.28\ m}{6.68}=60.37125mWatts.[/tex]
Explanation: Please refer to solution in this step.
Step: 2a.) mass of the car will bemass [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.644897\times{10}^3Kg[/tex]
using above equation we can find the power, [tex]P=60.37125\left(0.644897\times{10}^3\right)[/tex]
[tex]=38,933.2428 Watts[/tex]
b.) mass of the car will be [tex]=\frac{\mathrm{\ Weight\ }}{g}=0.152040\times{10}^4Kg[/tex]
using above equation we can find
the power, [tex]P=60.37125\left(0.152040\times{10}^4\right)=91,788.4599 Watts[/tex]
To know more about accelerates visit:
https://brainly.com/question/12960024
#SPJ4