One form of StyrofoamTM product, commonly used in craft projects, is Styrofoam balls. The spherical polystyrene foam objects known as Styrofoam balls range in diameter from one inch (2.54 cm) to eight inches (20.3 cm). The uses for Styrofoam balls in crafts are incredibly diverse.
Calculating the ball's volume using
V = 4/3 * pi * r3
r = 10 cm = 0.10 m.
V = 0.00418 m^3
The mass of the water with a volume of 0.0446 m3 is equal to m =??
V = 0.00418 m3,
and d = 1000 kg/m3.
m=V*dm=0.00418*1000=4.18 kg
then determining the styrofoam ball's mass.
V = 0.00418 m3
d = 32 kg per m3, which equals m = 0.00418 * 32 m = 0.1337 kg.
Finding the necessary mass to place on the ball's surface.
The distinction is what you'll need to put on the ball.
4.18 - 0.1337 = 4.046 kg ans.
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The place kicker on a football team kicks a ball from ground level with an initial speed of 8.40 m/s at an angle of 21.0° above the horizontal. How long is the ball in the air, in seconds, before it lands on the ground again? You may neglect air resistance.
Answer:
See below
Explanation:
Vertical component of the kick-off velocity is 8.4 sin21° = 3.01 m/s
Find the time-point where vertical velocity = 0 the ball is in the air for twice this long ( as it still has to fall back down to the ground)
vf = vo + at
0 = 3.01 m/s - 9.81 t shows t = .307 twice this is .614 sec
( what a sorry kick !)
3. how are the voltage and current related? are they in phase or out of phase? what is the phase angle between the voltage and the current?
The voltage and current are related is to resistive circuit.
What is resistive circuit?
In a fully resistive circuit, current and voltage are in phase, and the power factor is 1. In a circuit where the current lags the voltage by 90 degrees, the power factor is zero trailing. The current leads the voltage in a completely capacitive circuit by 90 degrees, and the power factor is zero.
What is the relationship between the phases of voltage and current?
Current and voltage in a pure resistive circuit are in phase with one another. Thus, the peak values of both the current and the voltage will occur simultaneously.
Therefore, the phase angle between the voltage and the current is, capacitive circuit by 90 degrees, and the power factor is zero.
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The parachutist’s mass is 70kg. The plane is 12km above the ground. How much GPE does the parachutist have?
Answer:
8.2x10^2 Joules
Explanation:
Assuming that GPE means potential energy of the parachutist, and he/she is doing this on Earth, we can find their potential energy, (PE) with the equation:
PE = mgh, where m is the mass of the parachutist in kilograms, g is the acceleration due to gravity [9.8 m/s2 for Earth (near surface)] and h is the height in meters.
m = 9.8 m/s^2
h = 12,000 meters (12 km)
m = 70 kg
PE = (70kg)(9.8 m/s^2)(12,000 m)
PE = 823,200 kg*m^2/s^2
PE = 8.2 x 10^2 kg*m^2/s^2
(1 kg*m^2/s^2) is the SI equivalent to a Joule.
The potential energy is 8.2x10^2 Joules
ignoring air resistance a projectiles vertical speed will what?
In the absence of air resistance, the only force acting on both objects would be gravity. Both objects would experience the same 9.8 m/s² acceleration toward the ground.
Since the initial conditions of both projectiles are identical, the velocities of both projectiles will be the same at all times. Therefore, both projectiles will attain a zero vertical velocity at the same time, and it is at this point that they simultaneously reach their respective maximum heights.
The maximum heights will not be the same, and they will differ by precisely the amount of height difference between the launch points.
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how do astronomers see astrophysical black holes if no light can escape from the event horizon of the black hole?
The event horizon of a black hole, the region beyond which there is no return, is the zone from which no light of any sort, including X-rays, can escape. Black hole research telescopes operated by NASA.
Are examining the black holes' surroundings, which contain material that is quite near the event horizon. A black hole is an area of spacetime where gravity is so intense that nothing can escape from it, not even electromagnetic radiation like horizon. A sufficiently compact mass can distort spacetime to generate a black hole, according to general relativity theory.
A black hole is a compact, dense object whose gravitational attraction is so powerful that nothing can escape from it up close, not even light.
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Insulators can by charged only by this method
a. Induction
b. Conduction
c. Friction
Insulators can by charged only by friction.
An electrical insulator is a cloth wherein electric powered modern-day does no longer drift freely. The atoms of the insulator have tightly certain electrons which can not quite simply move. Other substances—semiconductors and conductors—conduct electric modern greater effortlessly.
Insulators are used in electric system to help and separate electrical conductors with out allowing current thru themselves. An insulating material utilized in bulk to wrap electrical cables or other gadget is known as insulation. The time period insulator is likewise used greater specially to consult insulating supports used to utility poles and transmission towers.to attach electric powered strength distribution or transmission lines
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A 30.0 kg object is falling in air and experiences a force due to air resistance of 50.0 N. What is the net force acting on the object?
Answer:
250N
Explanation:
weight of object - air resistance= net force
weight=mg
=30×10
=300N
air resistance =50
300-50=250
the engine of a locomotive exerts a constant force of magnitude 6.5 105 n to accelerate a train to 60 km/h. determine the time taken for the train of mass 1.4 107 kg to reach this speed from rest.
The time taken for the train of mass 1.4 107 kg to reach the speed of 60 km/h is 362.39 seconds
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Calculation:-
mass of the train = 1.4 × 10⁷ kg
constant force F = 6.5 × 10⁵ N
Using Newton's second law
F = ma
a = F/m
= 6.5 × 10⁵ N /1.4 × 10⁷ kg
= 0.046 m/s²
This acceleration accelerates from
initial velocity u = 0
Final velocity v = 60 km/hr = 16.67 m/s
Using,
V = U + at
t = V - U/a
= 16.67 / 0.046
= 362.39 seconds
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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Jamari is doing a project on the levels of the rain forest. Which would be the most useful visual display to help make his information clear?(1 point)
Responses
a map of where rain forests are located
a map of where rain forests are located
a diagram with the parts of the rainforest labeled
a diagram with the parts of the rainforest labeled
a video of a nature photographer walking in a rain forest
a video of a nature photographer walking in a rain forest
a picture of ants on the rainforest floor
It is a diagram with the parts of the rainforest labeled
An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.
What is an astronomical telescope?
An astronomical telescope consists of two lenses: objective and eyepiece.
The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.
The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.
In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.
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when a star settles down to a stable existence as a main-sequence star, what characteristics determines where on the main sequence in an h-r diagram the star will fall?
A star's mass determines where it lies along the main sequence. On the main sequence, high-mass stars are hotter and emit more energy than low-mass stars.
Explain about the Mass?A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force. The more mass a body has, the less of a change an applied force makes.
Mass is a unit used to describe how much matter is present in an object. Usually, the unit of mass is either kilogrammes (kg) or grammes (g) (kg). Mass is a measure of how much matter there is, regardless of where it is in the cosmos or how much gravitational force is being applied to it.
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If the gravity of the moon is 1/6 of Earth’s gravity, what is the mass of an object that has a weight of 115N on the moon? a)89 b)71.9 c)30.2 d)20
it's 115/6 which is 19.1667
Explanation:
The weight would be 115/6 because the moon has one sixth of the gravity on earth so the weight would be on sixth of that on earth.
Michael uses his bike to apply 456 N to himself and the bike by pedaling as he approaches a 1.4 m tall ramp which is 3.0 m away. He starts from rest to accomplish this feat. How fast will he be moving just before he hits the ramp? (Mike and the bike have a combined mass of 136 kg)
*WORK OUT AND USE UNITS*
The speed of Mike and his bike before hitting the ramp is 4.48 m/s.
What is the acceleration of Michael and his bike?The acceleration of Michael and his bike is determined by applying Newton's second law of motion as follows.
According this law, the force applied to an object is directly proportional to the product of mass and acceleration of the object.
F = ma
a = F/m
where;
a is the acceleration of Michaelm is mass of Michaela = (456) / (136)
a = 3.35 m/s²
The speed of Mike and his bike before hitting the ramp is calculated as follows;
v² = u² + 2as
where;
u is the initial speed of Mike = 0a is acceleration of Mikev is the final velocity of Mikes is the distance travelled by Mikev² = 0 + 2(3.35)(3)
v² = 20.1
v = √20.1
v = 4.48 m/s
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3 points
A net force of 9,079 N is applied to a car having a mass of 1,447 kg. Find the acceleration of the car.
Type your answer...
Previous
Answer:
a = 6.27 m/s² - acceleration
Explanation:
Given:
F = 9 079 N
m = 1 447 kg
_________
a - ?
Acceleration:
a = F / m
a = 9 079 / 1 447 ≈ 6.27 m/s²
you throw a ball upward with an initial speed of 4.5 m/s. when it returns to your hand 0.92 s later, it has the same speed in the downward direction (assuming air resistance can be ig- nored). what was the average acceleration vector of the ball?
The average acceleration vector of the ball is - 9.78 m/s².
When you throw a ball upward with an initial speed, it will go up until reaching its highest peak then it will go down. So the ball doing non-uniform motion. The formula for non-uniform motion including initial speed, and final speed with time is
v = u+at
u = initial speed (m/s) = 4.5 m/sv = final speed (m/s) = - 4.5 m/s (because it's going down)t = elapsed time (s) = 0.92 sa = acceleration (m/s²)v-u = at
[tex]a = \frac{v - u}{t}[/tex]
[tex]a = \frac{- 4.5 - 4.5}{0.92}[/tex]
[tex]a = \frac{- 9.0}{0.92}[/tex]
a = 9.78 m/s²
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a baseball and a bowling ball with the same momentum are rolling toward you. which one needs more efforts (either longer time or larger force) to be stopped?
The baseball will require longer time and the bowling ball will require more effort to be stopped.
The bowling ball and baseball is moving with same momentum.
Let us say the momentum of the bowling ball is MV and the momentum of the baseball is mv.
According to second law of newton,
F = ΔMV/Δt
F = MΔv/Δt
So, the force is directly proportional to the speed of the object.
The speed of the bowling ball will be less than that of the baseball because the mass of the bowling ball is more and the mass of the baseball is less.
So, a greater force will be required to stop the baseball ball,
F = mΔv/Δt
v is more and the contact period Δt of the transfer of momentum is less so baseball will require longer time and a grater force will be required to stop the bowling ball because the speed is less.
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Problem 3) A 70 ft long, 0. 5 in diameter hose with a roughness of 0. 0009 ft is fastened to a water faucet where the pressure is P1, Determine P1 if there is no nozzle attached and the average velocity in the hose is 6 ft/s Neglect minor losses and elevation changes. Repeat the problem if there is a 0. 25 in diameter nozzle attached to the end of the hose
If there is no nozzle attached and the average hose velocity is 6 ft/s, determine p. Neglect little elevation changes and losses. = 70f7.
Explain about the Velocity?Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.
Simply said, velocity is the speed at which an object is moving in a particular direction. using a car travelling north on a highway as an illustration or a rocket after it has taken off as an illustration of speed. Scalar implies that the absolute magnitude of the velocity vector will always equal the speed of the motion.
186,282 miles per second is another way to express the speed of light. In dry air, the speed of sound is 343.2 meters per second.
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A 0. 0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89. 0 n on the arrow over a distance of 0. 782 m, with what speed does the arrow leave the bow?.
The arrow leaves the bow at a speed of 40.47 m/s.
When the arrow is released from its bow, the arrow will move and accelerate. Newton's second law of motion applies to the arrow. The formula F = ma
m = mass of the arrow (kg) = 0.0850 kga = acceleration of the arrow (m/s²)F = force (N) = 89.0 N[tex]a \:=\: \frac{F}{m}[/tex]
[tex]a \:=\: \frac{89.0}{0.0850}[/tex]
a = 1,047.059 m/s²
When the object has acceleration, the object will move in a non-uniform motion. The formula
v = u+atv² = u² + 2ad[tex]d \:=\: v_0 \times t \:+\: \frac{1}{2} \times a \times t^2[/tex]u = initial speed (m/s) = 0 m/s (arrow stationary in bowstring)v = final speed (m/s) a = acceleration (m/s²) = 1,047.059 m/s²t = interval (s)d = distance (m) = 0.782 mv² = u² + 2ad
v² = 0² + (2×1,047.059×0.782)
v² = 1,637.6
[tex]v_t \:=\: \sqrt{1,637.6}[/tex]
[tex]v_t[/tex] = 40.47 m/s
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a proton moves at constant velocity in the y direction, through a region in which there is an electric field and a magnetic field. the electric field is in the x direction, and has magnitude 400 v/m. the magnetic field is in the -z direction, and has magnitude 0.65 t.what is the magnitude of the net force on the proton?
The magnitude of the net force on the proton is 0.
What happens when the net force is zero?An object with zero net force will either remain stationary if initially stationary or maintain a constant velocity.
Fₙ = F₁ - F₂
Fₙ = Net force
F₁ and F₂ are applied forces
Now, F = ma
0 = ma
a = 0
Since acceleration is zero this implies that the object is moving with a constant velocity.
For the given case,
The proton is moving with a constant velocity along the y direction, which means the acceleration is zero. So, the net force is:
Fₙ = ma
Fₙ = m × 0
Fₙ = 0
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the weight of the builder and new roof tiles is 640N. draw a diagram to calculate the components of the total weight parallel and perpendicular to the slope of the roof
Answer:
Explanation:
is there a diagram of the question?
The parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.
What are the components of the Total weight?The components of the total weight of the builder and the new roof tile which may be of two types, i.e. parallel components or perpendicular components.
The parallel component and new roof tiles can be calculated as;
Fn ( parallel ) = W sin ( θ )
where;
W is the total weight
θ is the slope or angle of inclination of the total weight
So,
Fn ( parallel ) = 640 sin ( 30 )
Fn ( parallel ) = 320 N
The perpendicular component and new roof tiles is calculated as follows;
Fn ( parallel ) = W cos ( θ )
where;
W is the total weight
θ is the slope or angle of inclination of the total weight
So,
Fn ( perpendicular ) = 640 cos ( 30 )
Fn ( perpendicular ) = 554.3 N
Thus, the parallel component of the total weight is 320 N and the perpendicular component of the total weight is 554.3 N.
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Your question is incomplete, most probably the complete question is :
The weight of the builder and new roof tiles is 640 N. The slope is at 30 degrees on the given diagram. Draw a diagram to calculate the components of the total weight parallel and perpendicular to the slope of the roof.
A 25.0 kg mass is traveling to the right with a speed of 3.00 m/s on a smooth horizontal surface when it collides with and sticks to a second 25.0 kg mass that is initially at rest but is attached to one end of a light, horizontal spring with force constant 190.0 n/m. the other end of the spring is fixed to a wall to the right of the second mass. what is the frequency?
The frequency of the given mass is 0.31Hz.
Frequency:
the term frequency refers to the number of waves that pass a fixed point in unit time. It also describes the number of cycles or vibrations undergone during one unit of time by a body in periodic motion.
Here we have to find the frequency.
Formula to find the frequency:
f = ω /2π
ω = [tex]\sqrt{\frac{k}{M} }[/tex]
= [tex]\sqrt{\frac{190}{50} }[/tex]
= 1.95
Now putting the values we have
f = 1.95/ 2π
= 0.31 Hz
Therefore the frequency is 0.31Hz.
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Which quantity is scalar? (1 point)
O velocity
O energy
O force
O momentum
Answer: B. Energy
Explanation:
The Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity, so option B is correct.
What is Energy?In physics, energy is the capacity to do work. It might be potential, kinetic, thermal, electrical, chemical, radioactive, etc. Heat and work are further examples of energy being transferred from one body to another. Once it has been transmitted, energy is always allotted based on its nature. Thus, heat transmission could result in thermal energy while effort could produce mechanical energy.
The scalar quantity means they have only the magnitude and no direction. The velocity of any object tells the speed at which it is moving and its direction also, and the force applied to an object also tells the magnitude with direction, the momentum of an object is dependent on the force, so it is also a vector quantity
Therefore, Energy is the quantity that only depicts the magnitude and not the direction, hence it is a scalar quantity.
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a roller coaster moves 85 m horizontally, then travels 45 m at an angel of 30 above the horizontal. what is its displacement from its starting point? use graphical techniques.
Explanation:
done with the meeting today so I m ready for bed k tai you
Answer:
Explanation:
Dx = 85 + 45·cos 30° = 85 + 45·(√3 / 2) ≈ 124 m
Dy = 45·sin 30° = 45·(1/2) = 22.5 m
D = √ (Dx² + Dy²) = √ (124² + 22.5²) ≈ 126 m
a description of one real-life problem that has to be solved or decision that has to be made
Your example may be an example from your life or an imaginary example.
Your description should include three obstacles from the list below related to solving the problem or making a decision.
belief perseverance
confirmation bias
counterproductive heuristics
framing effect
fixation
functional fixedness
overconfidence
a brief explanation related to how the obstacles you described were overcome, or how each obstacle could be overcome in the future
A description of Benson's real-life problem that has to be solved is below:
Benson, a final year medical student shared a reflection of his past problems before gaining admission into the higher institution.
His power driven message to those who wish to overcome their obstaclesI have cried countless times as a result of my failures in the past. Sometimes when I was still in my high school, I was too overconfident in myself as to the level of my intelligence in class. This continued to the extent at which I stopped attending classes and at the end all these, I was shocked to receive the news that I had failed GSCE results.
I was mocked by all and sundry and humiliated. I repeated this exams for 5 years. Solving this problem made me remain on a fixed point and became a tool of fixation of failure to myself and those that were following my footsteps back in highschool.
Thank goodness for my father who stood by me in all my trials and injected me with alot of belief perseverance that I will come out of this problem and live my dream of becoming a medical doctor. Finally, I conquered the situation after many years and later continue my pursuit to apply for medicine and surgery in higher institution.
So therefore, it can be deduced from all said and done above that: you are what has happened to you. Take responsibility for your problems.
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a 5000 kg airplane is flying a circle with a diameter of 1 km as shown below in the figure. it takes the airplane 30 seconds to complete a trip around the circle. what is the angle of incline of the plane?
The angle of incline of the plane is 65.9°.
What exactly are inclination and plane?A basic device called an inclined plane with a sloping surface is used to lift heavy objects. Even after accounting for friction, the force needed to lift an object up an incline is less than the weight being raised. The needed force approaches the real weight closer with a greater slope or gradient.
m = 5000 kg
F =force by air
Diameter of circle
D = 1000m
R = D/₂ = radius of circle
Fcosθ =mg----1
Fsinθ = mw² R
Fsinθ = mw² R---2
from 1 and 2 ( divide 2 by 1)
tanθ = w² R/g = 4 πR/T²g
tanθ = 4 π 500/30²×9.8
tanθ = 29.236
θ = tan⁻¹(29.236) = 65.9°.
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You are bowling for a spare. There is just one pin left, and you make a nice play. As the 5.1 kg ball approches at a velocity of 3.40 m/s north it hits the pin! The 1.5 kg pin is sent into motion and the bowling ball continues to roll at a velocity of 0.87 m/s north. What is the final velocity of the pin?
Answer:
11.56 m/s
Explanation:
The momentum of the ball is transferred into the pin so the transfer of momentum has the formula, m1*v1 = m2 * v2
substituting the values,
5.1 * 3.40 = 1.5 * V2
17.34 = 1.5 * V2
V2 = 17.24 / 1.5
V2 = 11.56 m/s
How many moles of CaCo2 are in 50g of calcium carbonate
a figure skater rotating on one spot with both arms and one leg extended has moment of inertia ii . she then pulls in her arms and the extended leg, reducing her moment of inertia to 0.75 ii . what is the ratio of her final to initial kinetic energy?
The ratio of her final to initial kinetic energy is 1.33
What is conservation of angular momentum?
Conservation of angular momentum is a principle in physics according to which the total angular momentum of a system remains constant as it is free from external torque irrespective of all the various types of interaction and transformation taking place within the system. It is a physical property of spinning system. The easiest example of conservation of angular momentum is Earth spinning around at the same rate from last billions of years.
Iiwi = Ifwf
Where Ii = Initial Angular momentum
If = Final Angular momentum
wi= initial angular velocity
wf = final angular velocity
wf= Iiwi / If
= Iiwi/ 0.75 Ii
= 1.33 wi
Ki= ½ = Iiwi2
Kf= ½ (0.75) Ii (1.33 wi)2
= 1.33 Ki
Kf/ Ki = 1.33 Ki/ Ki
= 1.33
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the graph below shows the position vs. time for a 932 kg cart moving along a horizontal track. To the nearest tenth of a kilojoule, what is the car's kinetic energy at 8.0 seconds?
Answer:use 1/2 x M x V^2
Explanation:
to calculate the kinetic energy, observe the velocity from the graph at 8.0 seconds. and use the formula!
Science
Eighth grade D.1 Calculate density, mass, and volume 9BL
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Olive oil in a bottle has a mass of 690 grams and a volume of 750 cubic centimeters.
Calculate its density.
Write your answer to the hundredths place.
grams per cubic centimeter
The density of the of the olive oil, given that it has a mass of 690 grams and a volume of 750 cm³ is 0.92 g/cm³
How do I determine density of the olive oil?We know that density is defined as mass per unit volume. It is expressed as:
Density = mass / volume
Thus, with the above formula, we can determine the density of the oliver oil as illustrated below:
Mass of olive oil = 690 gVolume of olive oil = 750 cm³ Density of olive oil = ?Density = mass / volume
Density of olive oil = 690 / 750
Density of olive oil = 0.92 g/cm³
Therefore, we can conclude that the density of the olive oil is 0.92 g/cm³
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