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Actually Welcome to the concept of surface areas and Volumes.
When the radius is 'r', we get as,
V = 4/3*(π)(r^3)
when the radius is tripled that is '3r' , we get as,
V' = 4/3 (π)(3r)^3
V' = 27*(4/3(π)(r^3))
V' = 27 V
hence the new volume, when radius is tripled, is 27 times greater than the old sphere.
how is the flow of air important in designing the shape of a car?
Answer:
Explanation:
The more aerodynamic a vehicle is the less wind resistance there is meaning there is better gas mileage because it dont have to push so hard against wind and it also helps with the eye appeal
The relationship between body mass body weight and body density
Answer:
The formula for calculating Density is:
= Mass / Volume
From this formula, we can say that the relationship between Mass and Density is a direct one. In other words, if mass is increasing - all else being equal - then density will increase as well.
If mass however was decreasing, density would have to decrease as well.
For example, assume 3 bricks have masses of 5kg, 10kg and 15kg. Also assume that the bricks all have the same volume of 5 m³.
Density of 5kg brick = 5 / 5 = 1 kg/m³
Density of 10kg brick = 10 / 5 = 2kg / m³
Density of 15kg brick = 15 / 5 = 3 kg /m³
Notice how density increases as mass increases and decreases when mass decreases.
The displacement current density between the plates of a parallel-plate capacitor is uniform and has a magnitude of 19.9 A/m2 as the capacitor is being charged. What is dE/dt, the rate at which the electric field strength is changing between the plates
Answer:
[tex]\dfrac{dE}{dt} \approx 2.261 \overline {36} \times 10^{12} \ V/ms[/tex]
Explanation:
The parameters given in the question are;
The magnitude of the displacement current density between the plates of a parallel-plate capacitor, J = 19.9 A/m²
We have;
[tex]i_d = \epsilon _0 \times \dfrac{d \Phi_E}{dt} =\epsilon _0 \times A \times \dfrac{d E}{dt}[/tex]
Therefore;
[tex]\therefore \dfrac{dE}{dt} =\dfrac{i_d}{\epsilon _0 \cdot A} =\dfrac{J}{\epsilon_0} = \dfrac{19.9}{8.8 \times 10^{-12}} \approx 2.261 \overline {36} \times 10^{12}[/tex]
Therefore;
[tex]\therefore \dfrac{dE}{dt} \approx 2.261 \overline {36} \times 10^{12} \ V/ms[/tex]
A 0.17 kg softball moving at 30 m/s is caught by a player. If the average force on the
player's hands during the catch is 500 N, find the time in which the ball came to a stop.
Answer:
0.35
Explanation:
ur dogwater
Which would have more volume, 1 kg of lead or 1 kg of copper? And EXPLAIN how you can tell.
Pls answer this ASAP for 15 points
Match each sound feature to its description
amplitude
the density of the medium's particles
at the compressions of the wave
compression
the part of a wave where the particles
of the medium are farther apart
wavelength
the distance between compressions
or rarefactions
rarefaction
the part of a wave where the particles
of the medium are closer together
Intro
Done
tivity
be here to search
GOS
Answer:
1. Amplitude.
2. Rarefaction.
3. Wavelength.
4. Compression.
Explanation:
Sound are mechanical waves that are highly dependent on matter for their propagation and transmission. Some of the properties of sound waves as it travels through a medium such as solid, liquid and gas includes the following;
1. Amplitude: the density of the medium's particles at the compressions of the waves.
2. Rarefaction: the part of a wave where the particles of the medium are farther apart. This ultimately implies that, it is part of a longitudinal wave in which the particles that make up the matter for the movement of the wave are separated by a greater distance.
3. Wavelength: the distance between compressions or rarefactions i.e the distance between two successive compressions or refractions.
4. Compression: the part of a wave where the particles of the medium are closer together. This ultimately implies that, it is part of a longitudinal wave in which the particles that make up the matter for the movement of the wave are closer together.
Answer:
here is the answers .......
A boy pushes his baby sister on a swing in the playground. At the top
of the baby's path, she has a potential energy of 200 J.
How much potential energy will she have at the bottom of her path?
How much kinetic energy will she have at the bottom of her path?
Answer:
* If there is no friction U = 0, K = 200 J
* If there is friction U = 0, K = 200 - W
Explanation:
For this exercise we must make an assumption.
* If there is no friction
The energy of the system is conserved therefore the energy is transformed.
The potential energy is
U = m g h
at the bottom of the road there is no height therefore
U = 0
and all the energy has been transformed into kinetic energy
K = 200 J
* If there is friction, which can come from the internal friction of the car, the friction force between the car and the floor, etc.
in this case there is a loss of energy due to the work of non-conservative forces (friction).
The potential energy at the bottom of the path is hedron because there is no height U = 0
The kinetic energy is
K = U -W
K = 200 - W
where W is the work of the friction force.
A girl who is watching a plane fly tells her friend that the plane isn't moving at all. Describe a frame of reference in which the girl's description would be true.
The girl's reference frame must be moving with the same speed as the plane.
If an observer is stationary and he watches a car moving he can observe that the car has a momentum and is moving with certain speed. But if the observer is in the car or moving with same speed, the car does not appear to move away form the observer. Likewise, two observers moving with different speed will have different observation about the same car.
Similarly, if the girl describes the plane is not moving that means either she is in the plane or moving with the same speed along with the plane.
Learn more about frame of reference:
https://brainly.com/question/20897534
how are a grassland ecosystem and a pond ecosystem connected?
Answer:
terrestrial ecosystem and pond ecosystem is an aquatic ecosytem, hence both their abiotic and biotic components would be different.
Explanation:
[4 marks]
22. Compare and contrast the structure and roles of tendons and ligaments.
Answer:
Tendons: Tendons are cord-like, strong, inelastic structures that join skeletal muscles to bones
ligaments: Ligaments are elastic structures which connect bones to bones in joints.
Explanation:
Help! (science class)
Answer:
opposite charges.
1. two Styrofoam.
2. pieces of glitter.
3. balloon moves away from glass rod
like charges
1. two sweaters cling
2. balloons stick to wall
3. stream of water bends
Two rams run toward each other. One ram has a mass of 49 kg and runs west
with a speed of 7 m/s, while the other has a mass of 52 kg and runs east with
a speed of 9 m/s. What will the momentum of the system made up of the two
rams be after they collide? Assume the total momentum of the system is
conserved
A. 811 kg-m/s west
B. 811 kg-m/s east
C. 125 kg-m/s west
O D. 125 kg-m/s east
S
Answer: (d)
Explanation:
Given
Mass of the first ram [tex]m_1=49\ kg[/tex]
The velocity of this ram is [tex]v_1=-7\ m/s[/tex]
Mass of the second ram [tex]m_2=52\ kg[/tex]
The velocity of this ram [tex]v_2=9\ m/s[/tex]
They combined after the collision
Conserving the momentum
[tex]\Rightarrow m_1v_1+m_2v_2=(m_1+m_2)v\\\Rightarrow 49\times (-7)+52\times (9)=(52+49)v\\\Rightarrow v=\dfrac{125}{101}\ m/s \quad[\text{east}][/tex]
Momentum after the collision will be
[tex]\Rightarrow 101\times \dfrac{125}{101}=125\ kg-m/s\ \text{East}[/tex]
Therefore, option (d) is correct
Two identical balls are thrown from the top of a cliff, each with the same speed. One is thrown straight up, the other straight down. How do the kinetic energies and speeds of the balls compare as they strike the ground?
A) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.
B) The ball that is thrown straight up will have more kinetic energy and more speed than the ball that is thrown straight down.
Both balls will have the same kinetic energy and speed.
C) The ball that is thrown straight up will have more kinetic energy but less speed than the ball that is thrown straight down.
D) The ball that is thrown straight down will have more kinetic energy and more speed than the ball that is thrown straight up.
Answer:
the answer is B.
Explanation:
The ball that is thrown straight up has more kinetic energy and more speed than the ball that is thrown straight down. Both balls have the same kinetic energy and speed.
What is the kinetic energy and potential energy?The kinetic energy of a body can be determined as the energy of a moving physical system because of its motion. Work has to be done on an object to change its kinetic energy.
The kinetic energy of the moving system can be expressed as K.E. = ½mv² where ‘m’ is mass while ‘v’ is the velocity of the object.
The potential Energy of the physical system can be described as the energy stored due to its position. The mathematical formula for the calculation of the potential energy can be expressed in the form of P.E = m×g×h where ‘g’ is the gravitational acceleration, ‘m’ is the mass and ‘h’ is the height in meters
When two identical balls are thrown from a cliff, each with the same speed. One ball is thrown straight up, and the other ball is straight down. Both balls will have the same kinetic energy as well as speed.
Learn more about kinetic energy and potential energy, here:
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pls help me out i need help
Answer:
Angle of incidence. = Angle of reflection
0° = 0°
30°. = 30°
42°. =. 42°
60°. =. 60°
90°. =. 90°
angle of incidence is always equal to angle of reflection on plane surface
Hope it helps
What is the specific heat capacity of silver metal if 32.0 kg of the metal absorbs 55.0 J of heat and the temperature rises 21.0 C?
Answer:
Specific heat capacity of silver metal = 0.08184 J/kg°C
Explanation:
Given:
Mass of silver metal = 32 kg
Change in thermal energy = 55 J
Change in temperature = 21°C
Find:
Specific heat capacity of silver metal
Computation:
Using Specific heat capacity formula
C = ΔE / mΔT
where;
C = Specific heat capacity
ΔE = Change in thermal energy
m = Mass
ΔT = Change in temperature
C = (55) / (32)(21)
Specific heat capacity of silver metal = 55 / 672
Specific heat capacity of silver metal = 0.08184 J/kg°C
Can you help me please?
Answer:
a/ oscillating charges
How much force is needed to accelerate a 7.1 kg skier at 4 m/s/s?
Answer: 28.4
Explanation:
F=MA
F=(7.1)(4)
F= 28.4 N
Glasses, cameras, flashlights, binoculars, telescopes and peepholes are all made using_lenses.
les ))
Answer:
convex
Explanation:
hope you have a good day!
How many charges do copper(II) and Carbide have?
Answer:They have 10
Explanation:
Consider a projectile. Which of the following describes y-motion? Check all that apply.
1. The y motion is a vertical motion.
2. The y motion is a horizontal motion
3. A projectile covers different distances per second in the direction.
4. A projectile covers equal distance per second in this direction
Answer:
1. True - gravity affects the y motion
2. False - x-coordinates affect the horizontal motion
3. y because gravity affects motion in the y-direction
4. x generally no external forces act in the x direction and hence no acceleration in the x direction
Which statement about the mass of a falling object is correct? A.It decreases as the object falls. B.It increases as the object falls. C.It is equal to the weight of the object. D.It stays the same as the object falls.
Answer:
D.It stays the same as the object falls.
Two identical charges exert a force of 4.5 x 10-2 N and each have charges of 2.5 x 10-6 C, what is the radius?
1.18 x 10-5 m
1.12 m
1.25 m
707.11 m
Analyze the data from Data Table 2. As the mass of an object doubles, its kinetic energy
1. is halved
2. doubled
3. quadrupled
4. does not change
Answer: 2- doubled
Explanation:
Given
for m=0.02 kg, v=5 m/s, kinetic energy is 0.25 J
for same velocity and double mass i.e.
m=0.04 kg, v=5 m/s, kinetic energy is 0.50 J
same is with
m=0.08 kg, v=5 m/s , kinetic energy is double to [tex]2\times 0.5=1\ J[/tex]
So, on doubling the mass, kinetic energy is doubled
HELP HELP HELP I WILL MARK AS BRAINLIEST
Answer:
sun, jupiter, earth, moon
Explanation:
how big they are
Answer:
sun, jupiter, earth, moon. sun
Explanation:
The sun would have the biggest gravity because it is the massiest.
Based on the mass of each planet, this is the correct answer.
A heater marked 60w evaporates 6×10^-3kg of boiling water in 60secs what is the specific latent heat of vaporization of water in jkg^-1
Explanation:
Latent heat of evaporation is the heat required to change water to vapor at the same temperature boiling temperature.(100°C)
That water turns into vapor when heated at temperature more than 100°C without any increase in temperature.
that is latent heat of vaporization Q = mL
A lifeguard on a beach observes that waves have a speed of 2.60 m/s and a distance of 2.50 m between wave crests. What is the period of the wave motion? Please show all work. (ref: p.382-387)
Answer:
T = 0.96 seconds
Explanation:
Given that,
The speed of wave, v = 2.6 m/s
The distance between wave crests, [tex]\lambda=2.5\ m[/tex]
We need to find the period of the wave motion. Let T be the period. So,
[tex]v=\dfrac{\lambda}{T}\\\\T=\dfrac{\lambda}{v}\\\\T=\dfrac{2.5}{2.6}\\\\T=0.96\ s[/tex]
So, the period of the wave motion is equal to 0.96 seconds.
The period of the wave motion is 0.96 seconds. Using the formula:
v = λ / T
where v is the velocity of the wave, λ is the wavelength and T is the period of the wave.
Given that v = 2.60 m/s, λ = 2.5 m, hence:
2.6 = 2.5/T
T = 0.96 s
The period of the wave motion is 0.96 seconds.
Find out more on period at: https://brainly.com/question/10843932
How does a resistor affect an electrical circuit?
Answer:
D
Explanation:
Answer:
D.
It reduces the rate at which electrons flow.
Because fluid pressure increases witj depth, there is more fluid pressure_____ of a submerged object than on the ____
Answer:
Because fluid pressure increases with depth, there is more fluid pressure___outside__ of a submerged object than on the _inside___
Explanation:
As the object is submerged means that it is under water and not on the surface. It tells that water pressure exerting on the object from the outside is higher than inside which is why the object is submerged.
In the other case, the object will not remain submerged if its internal pressure is high, it will float on water.
Two in-phase sources of waves are separated by a distance of 3.50 m. These sources produce identical waves that have a wavelength of 5.96 m. On the line between them, there are two places at which the same type of interference occurs (a) Is it constructive or destructive interference, and (b) where are the places located?
Answer:
(a) It is a destructive interference
(b) The places at which destructive interference occur on the line between the two in-phase sources, are 1.07798 m before and after the two sources
Explanation:
(a) The given parameters are;
The distance between the two in-phase sources, d = 3.50 m
The type of waves produced by the two sources = identical waves
The wavelength of the waves produced by the two sources, λ = 5.96 m
For constructive interference, we have;
d·sin(θ) = m·λ
Where, m = 0, 1, -1, 2, -2, ...
For destructive interference, we have;
[tex]d \cdot sin(\theta) = \left(m + \dfrac{1}{2} \right) \cdot \lambda[/tex]
d·sin(θ) = Δl =
Where, m = 0, 1, -1, 2, -2, ...
Therefore, given that λ > d, for constructive interference
sin(θ) = m·λ/d > 1 for m > 0 which is invalid as the maximum value for sin(θ) = 1
Therefore, the possible interference is destructive interference
(b) For destructive interference, when m = 0, we have;
[tex]3.5 \times sin(\theta) = \left(0 + \dfrac{1}{2} \right) \times 5.96[/tex]
∴ sin(θ) = (5.96/2)/3.5
θ = arcsin((5.96/2)/3.5)
By trigonometry, we have;
tan(θ) = (d/2)/l
Where
l = The location along the line
∴ l = (d/2)/(tan(θ))
By substitution, we have;
l = (3.5/2)/(tan(arcsin((5.96/2)/3.5))) = 1.07798
Therefore, the two locations along the line where there is a destructive are 1.07798 m along the line before and after the two in-phase sources.
A body falling freely on the moon the acceleration due to gravity there is 1.7 m/s2.
a. its displacement at t = 3s
b. the time for it to reach a speed of 25 m/s
c. the time required for it to fall 300 m
d. its speed after falling 70 m
Answer:
a) 7.65 m
b) 14.71s
C) 15.43 m/s
Explanation:
a) s = ut + 0.5at²
s= ?
u = 0
t = 3s
a = 1.7 m/s²
s = 0 + 0.5 × 1.7 × 3²
s = 7.65 m
b) v = u + at
v = 25m/s
u = 0 m/s
a = 1.7 m/s ²
t = ?
v=at
t = v / a
t = 25 / 1.7
t = 14.71s
c) v² = u² + 2as
s = 70m
a = 1.7m/s²
u = 0 m/s
v = ?
v² = 2as
v = √238
v = 15.43 m/s
