The velocity of the tennis racket after collision is 26.862 m/s.
Explanation:
If the tennis racket and ball is collided in elastic collision then the sum of momentum before collision will be equal to the sum of momentum after collision. This is in accordance to the law of conservation of energy. So if we consider the mass of tennis racket as m1 = 0.311 kg and the velocity of tennis racket before collision as u1 = 30.3 m/s. Then the mass of the ball is considered as m2 = 0.0570 kg and the velocity of the ball before collision as u2 = 19.2 m/s.
So as per the conservation of energy, the velocity of tennis racket and ball after collision will be denoted as v1 and v2 respectively. The formulas for determining these velocities are
[tex]v_{1} = \frac{m_{1}- m_{2} }{m_{1} + m_{2} } u_{1}+ \frac{ 2*m_{2} }{m_{1} + m_{2} } u_{2}[/tex]
[tex]v_{2} = \frac{2*m_{1} }{m_{1} + m_{2} } u_{1}+ \frac{ m_{2}- m_{1} }{m_{1} + m_{2} } u_{2}[/tex]
Since, we require to determine only the velocity of tennis racket after collision, so solving the v1 equation is enough with the parameters m1 = 0.311 kg , m2 = 0.0570 kg, u1 = 30.3 m/s and u2 = 19.2 m/s given
[tex]v_{1} = \frac{0.311- 0.0570 }{0.311 + 0.0570 } * 30.3+ \frac{ 2*0.0570 }{0.311 + 0.0570 }*19.2[/tex]
[tex]v_{1} = \frac{0.254 }{0.368} * 30.3+ \frac{ 0.114 }{0.368}*19.2[/tex]
[tex]v_{1} =20.914+5.948=26.862 m/s[/tex]
So, the velocity of the tennis racket after collision is 26.862 m/s.
Answer:
The velocity of the tennis racket after the collision 14.966 m/s.
Explanation:
Step-by-step explanation:
An elastic collision is an encounter between two bodies in which the total kinetic energy of the two bodies remains the same.
let the following:
m₁ = mass of tennis racket = 0.311 kg
m₂ = mass of the ball = 0.057 kg
u₁ = velocity of tennis racket before collision = 30.3 m/s
u₂ = velocity of the ball before collision = -19.2 m/s
v₁ = velocity of tennis racket after collision
v₂ = velocity of the ball after collision
Right (+) , Left (-)
v₁ = [ u₁ * (m₁ - m₂) + u₂ * 2m₂ ]/ (m₁ + m₂)
= ( 30.3 * (0.311 - 0.057) - 19.2 * 2 * 0.057 ) / ( 0.311 + 0.057)
= 14.966 m/s.
So, the velocity of the tennis racket after the collision 14.966 m/s
Which statement best describes an insulator?
Answer:an insulator does not allow electrons to move through it
Explanation:
Answer:
It has a high resistivity because it opposes the movement of electrons.
Explanation:
APEX
which statement below is FALSE? A Gravity acts on any object with mass. B The closer objects are, the stronger the gravitational force between them. C The farther you are from the center of the Earth, the less gravitational force you feel. D Gravitational force depends on what the object is made of.
Answer:
Explanation:
The answer is D. The gravitational force of an object does NOT depend on what the object is made of.
Gravitational force depends on what the object is made of is false.
Gravitational force is the force of attraction that acts on all matters.
The farther you are from the center of the Earth, the less gravitational force
you feel as the force is strongest at the center.
The closer objects are, the stronger the gravitational force between them as
it is a force of attraction between objects on earth. Gravity is however not
dependent on what objects are made of as it acts on all bodies present on
earth.
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Which type of spectrum does illustration C show? Help...
bright line
continuous
dark line
Select the correct answer.
The frequency of a wave traveling through the air of a hot, dry desert is 1,200 hertz. Its wavelength is 0.300 meters. What is the speed of the
wave?
A 360 meters/second
B. 40.2 meters/second
C. 0.25 meters/second
D. 120 meters/second
Answer:360 meters per second
Explanation:
Speed of the wave=frequency x wavelength
Speed of the wave=1200 x 0.3=360m/s
Determining Current as a Function of Voltage
A set of data is collected from a simple circuit with a
20 2 resistor and is represented in the table.
Voltage
Current
Resistance
(V)
(A)
The current at 5.0 VisY A.
The current at 15 Vis a
5.0
20
15 T
I
20.
Answer:5.0 v is 0.25a
15v is 0.75a
Explanation:
1: A, 0.25
2: C, 0.75
explain why the sound produced by every vibrating body cannot be heard by us ?
Answer:
The human ear is not sensitive to every frequency of sound, rather, our hearing range is from 20Hz to 20,000Hz. This means sound frequencies outside this range are not audible to the human ear, which is why not every sound produced is heard. This is quite a blessing because if we could hear every vibrating body, then our ears would never stop listening: we won't be able to distinguish 'important sounds' from unimportant ones, rendering our ears effectively useless. Perhaps this is why we have a hearing range in the first place: sounds of our friends and our foes lie in 20Hz-20kHz range.
How does the health of the air and atmosphere affect the biosphere? -
Answer:
Because of its involvement in the Earth's carbon cycle and nitrogen cycle, the biosphere influences the amounts of some of the major greenhouse gases such as methane, carbon dioxide, and nitrous oxide.
Answer:
The health of the air and atmosphere affects the biosphere because if the atmosphere/air turned poisonous or something between those lines, most of the living organisms would die. In other words, the damaged air would affect the biosphere.
Explanation:
*My answer is my explanation ._.*
Two colours of light which mix to make white light are called
a) primary colours
b) secondry colous
c) complementary colours
d) dye
Complementary colors are pairs of colors that, when mixed together, produce white light. They are located opposite each other on the color wheel.
Explanation:The correct answer is c) complementary colours. Complementary colors are pairs of colors that, when mixed together, produce white light. These colors are located opposite each other on the color wheel. For example, red and cyan, green and magenta, and blue and yellow are complementary color pairs.
Mixing complementary colors can be observed in additive color mixing, which is the process of combining different colors of light. For instance, if you mix red and cyan lights together, you will see white light.
Complementary colors are also used to create contrast and make colors stand out when they are placed next to each other. This concept is often used in design and visual arts.
The unit for frequency is the meter. Question 8 options: True False
False
Explanation:
The Unit of Frequency is Hertz (Hz)
Frequency in layman’s language can be said as a number of times a particular event repeat itself in unit time.
E.g. Supposing a hypothetical situation in which a boy cracks 5 nuts every minute, then his frequency can be said to be 5 nuts /min
However, in physical dimensions, the frequency is always calculated in terms of a second (as a measure of unit time).
Hence the Standard unit (SI)of Frequency is named after German origin physicist Heinrich Hertz. In simple terms, 1 Hertz denotes the event repeats itself one time per second and in physics domain one cycle per second.
If a stone has 390 J of energy and is moving with
a speed of 12 m/s, what is the mass of the stone?
Answer:
5.4 g
Explanation:
The stone is already in motion, so the only energy it has is kinetic. The formula for kinetic energy is:
[tex]KE=\frac{1}{2} mv^{2}[/tex]
You can substitute the 390 J in for KE and 12 m/s in for v. After that, the equation looks like:
[tex]390=\frac{1}{2} m12^{2}[/tex]
Then do basic algebra and m=5.4 g
Why is the speed of sound faster in a humid and warm sea-level rainforest compared to the top of Mount Everest?
Answer: Because the speed of sound varies depending on the medium and its temperature.
Explanation:
Sound is a mechanical wave, this means its velocity of propagation depends on the medium.
Now, in general sound waves travel faster in solids than in liquids or gases. In addition, it varies with changes in the temperature of the medium. This is because an increase in temperature means that the frequency of interactions between the particles that transport the vibration increases, hence this increase in activity increases the speed.
So, the speed of sound in a gas (air, for example) is not constant, but depends on the temperature.
Hence, the higher the air temperature, the greater the velocity of propagation; that is why the speed of sound is faster in a humid and warm sea-level rainforest compared to the top of Mount Everest, which is cold.
What happens when light hits a shiny or smooth surface?
A It disappears
B It is refracted
C It is absorbed
D It is reflected.
Answer: D reflected
Explanation:
Answer:
Correct option (D)
Explanation:
The shiny or smooth surface is an interface that acts as a perfectly reflecting surface. When a light ray or a beam of light is allowed to incident onto it, it is reflected to the same medium.
A car starts from rest with an acceleration of 6
which decreases linearly with time to zero in 10 seconds, after which the car continues at a constant speed. Determine the time t required for the car to travel 400 m from the start.
Answer:
[tex]t=16.67s[/tex]
Explanation:
From the question, acceleration from [tex]6m/s^2 \ to \ 0m/s^2[/tex] in 10 seconds.
Acceleration function can be written as:-
[tex]a_t=6-0.6t[/tex]
From the acceleration equation, we can obtain the velocity equation:
[tex]v(t)=\int\limits^t_b {0} \, dv=\int\limits^t_0 {a(t)} \, dt\\v(t)=\int\limits^t_0 {(6-06t)} \, dt=6t-0.3t^2\\*dv=a(t)dt[/tex]
We calculate velocity after 10sec from the above v(t) as [tex]30m/s[/tex].
To obtain distance travelled after 10 seconds:-
[tex]S=\int\limits^{10}_0 {6t-0.3t^2} \, dt=|3t^2-0.1t^3| \ *lims(10,0)\\ S=200m[/tex]
Therefore 200m is for 10seconds, and next 200m at 30m/s
Total time=[tex]10+\frac{200}{30}=16.67s[/tex]
The differential distribution of ions across the cell membrane is due to the:
A. A lack of cell ATP
B. Difference in permeability of the cell membrane to ions
C. Resting membrane potential
D. Na+-K+-ATPase pump
The differential distribution of ions across the cell membrane is due to the "resting membrane potential".
Option: C
Explanation:
The unequal allocation of charged particles like ions between the internal and external portion of cell, and by the varying membrane permeability to various ion forms, understood as resting membrane potential.
Within a sleeping brain, Na+ and K+ ions exhibit concentration gradients throughout the membrane, which push their gradients down through channels, resulting in a differentiation of the charges that generates the resting potential. With K+ than Na+ ions, the membrane is even more permeable, so the resting potential is similar to potassium ion's equilibrium potential.
The differential distribution of ions across the cell membrane is largely due to the Na+-K+-ATPase pump, a protein that uses ATP to transport sodium and potassium ions against their concentration gradients. Other factors such as the membrane's ion permeability, the resting membrane potential, and ATP levels also contribute.
Explanation:The differential distribution of ions across the cell membrane is primarily due to the Na+-K+-ATPase pump, also known as the sodium-potassium pump. This protein structure uses energy from ATP to pump three sodium ions out of the cell and two potassium ions into the cell, establishing a concentration gradient. The difference in permeability of the cell membrane to various ions also plays a role in the differential distribution, but the Na+-K+-ATPase pump is the primary mechanism.
The resting membrane potential and cell ATP levels also indirectly influence ion distribution. The resting membrane potential is a result of the charge difference across the cell membrane due to the ion distribution, while a lack of ATP can affect the energy-dependent Na+-K+-ATPase pump's function.
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6.
Potassium hydroxide (KOH) and hydrochloric acid (HCl) react in a beaker. They form potassium chloride (KCl) and water (H2O). What type of reaction is this? (2 points)
Synthesis reaction
Double replacement reaction
Single replacement reaction
Decomposition reaction
Answer:it is a double replacement reaction
Explanation:
It's a double replacement reaction
I need help for this exercise:
Crumple zones in cars increase the time and the distance over the which a car stop during a collision. The length of the crumple zone is 1.6m.
a) Find the maximum speed that the car could have when hitting a wall head-on without subjecting the passager to an acceleration of more than 46.2g (i.e., 46.2 times the acceleration due the gravity)
b) How long would that collision last?
Answer:
a) The maximum speed is 38 m/sb) The collision would last 0.083 s
Explanation:
By increasing the time and the distance over which a car stops during a collision, the change in the velocity (acceleration) is reduced, reducing, in consequence, the impact.
The equation to determine the change in velocity for a uniformly accelerated motion is given by the relation between the speed, the distance, and the acceleration:
v² - u² = 2×acceleration × distanceThe acceleration must be less than or equal to 46.2g, which is 46.2 × 9.8m/s² = 452.76m/s². Thus, the condition is acceleration ≤ 452.76m/s²
Here, using the maximum acceleration:
u = final velocity = 0acceleration = 457.76m/s²distance = 1.6 mThus:
v² = 2 (457.76m/s²) × 1.6mv = 38.06m/sv = 38 m/sTo determine the time use the impulse notion.
Impulse = Force × ΔtChange in momentum = mass × ΔvImpulse = Change in momentumForce × Δt = mass × ΔvForce / mass = Δv / Δtacceleration = Δv / ΔtSince the final velocity is 0 (the car stops), Δv is the speed of the car: Δv = v.
Substitute:
v/Δt = 457.76 m/s²Δt = v / 457.76 m/s²Δt = (38 m/s) / (457.76m/s²) = 0.083sWitch part of the ear is responsible for sending singnals about sound to the brain
Answer:
Cochlea
Explanation:
Cochlea. The [tex]cochlea[/tex] changes the sound vibrations from the middle ear into nerve signals. The nerve signals the travel to the brain via the [tex]cochlea \ nerve[/tex].
The cochlea nerve is also called the auditory nerve.
A ball is dropped from the top of a building.
When does the ball have the most kinetic energy?
Answer:
Right before it hits the ground.
Explanation:
It has the most kinetic energy at the very end of its descent when it is moving the fastest.
How does the distance the Earth is from the Sun affect its orbit?
5. In Ohm's Law, "\" stands for
it is measured in amps.
O current
O resistance
Answer:current is measured in amps
Explanation:
Current measured in amps
Answer:
Current
Explanation:
Obviously
What do u think would happen if a car had all its electrical components (such as windscreens wipers,headlights,blinkers,
internal light,radio) wired up in series, not parallel?
Can someone help me with 15 and 16 pls
Answer:
If they are connected in series they will share the same current.
Explanation:
The circuits connected in series, share the same current and for each element passes current that flows from one element to another, so when one of these elements is damaged or removed from the circuit the current of the whole circuit is interrupted and no element will work. The attached image shows a circuit connected in series and can be analyzed that the same current flows through each element.
When a light ray passes from LESS dense water (n = 1.33) into a MORE dense diamond (n = 2.419) at an angle of 45 degrees, its path is bend _____ the normal.
Towards
Explanation:
When light is incident at a transparent surface, the transmitted component of the light changes direction at the interface. Another component of the light is reflected at the surface. When a ray of light passes from water to diamond at an angle 45°, its path is bent towards the normal. This is so because water is less dense than the diamond. The refractive index of water (n = 1.33) is less than the refractive index of diamond (n = 2.419).
Light passing from less dense water to more dense diamond bends towards the normal due to a significant change in refractive indices.
When a light ray passes from less dense water (n = 1.33) into more dense diamond (n = 2.419) at an angle of 45 degrees, its path is bent towards the normal.
To calculate the angle of refraction, we can use Snell's Law: n1sinθ1 = n2sinθ2. Given n1 (water) = 1.33, n2 (diamond) = 2.419, and θ1 = 45°, we can solve for θ2.
The larger change in direction in diamond compared to water is due to the significant difference in refractive indices, leading to a greater impact on the path of the light ray.
What is Earth described as?
Answer:
Earth, our home, is the third planet from the sun. It's described as the only planet known to have an atmosphere containing free oxygen, oceans of water on its surface and, of course, life. Earth is also the fifth largest of the planets in the solar system. Hope this helped.
Explanation:
Which type of marcomolecule is made of amino acids?
Answer:
proteins
Explanation:
proteins are the most complex macromolecules. A protein is a linear molecule comprised of amino acids.
Answer:proteins
Explanation:
Proteins are macro molecules made up of amino acids
What is an economic impact of biodiversity?
Answer:
Sustainability.
Explanation:
Each organism and living creature has its part to play, and with the diverseness, each one supports the other - the cycle of life and the food chain.
Explanation:
an economic part of biodiversity could be tourism so people would want to see all the different species so that may be good for hotels flight companies and tour guides it may also be good for zoo companies if they increase the different amount of species it could attract more people brainliest pls
which four equations can be used to solve for acceleration
The four equations for acceleration are obtained from the three equations of motion and from second law of motion.
Explanation:
Acceleration is defined as the rate of change of velocity with respect to time. So the change in velocity with respect to time can be determined using the three equations of motions.
So from the first equation of motion, v = u + at , we can determine the value of acceleration if time taken, final and initial velocity is known. The equation can be re-written as [tex]a = \frac{v-u}{t}[/tex]
Similarly, from the second equation of motion, s = ut + 1/2 at², we can determine the equation for acceleration as [tex]a = 2*\frac{s-ut}{t^{2} }[/tex]
So this is second equation for acceleration.
Then from the third equation of motion, [tex]v^{2}- u^{2} = 2* a *s[/tex]
the acceleration equation is determined as [tex]a = \frac{v^{2}-u^{2} }{2s}[/tex]
In addition to these three equation, another equation is present to determine the acceleration with respect to force from the Newton's second law of motion. F = Mass × acceleration. From this, acceleration = Force/mass.
So, these are the four equations for acceleration.
A baseball (m = 145 g) traveling 32 m/s moves a fielder's glove backward 25 cm when the ball is caught. What was the average force exerted by the ball on the glove?
Answer:
297 N
Explanation:
First, find the acceleration of the ball.
Given:
Δx = 0.25 m
v₀ = 32 m/s
v = 0 m/s
Find: a
v² = v₀² + 2aΔx
(0 m/s)² = (32 m/s)² + 2a (0.25 m)
a = -2048 m/s²
Find the force exerted on the ball by the glove.
F = ma
F = (0.145 kg) (-2048 m/s²)
F = -297 N
The force exerted by the ball on the glove is equal and opposite.
-F = 297 N
Round as needed.
The average force exerted by the ball on the glove when it was caught is 297 N.
The given parameters:
mass of the baseball, m = 145 g = 0.145 kgspeed of the baseball, u = 32 m/sdistance moved, d = 25 cm = 0.25 mThe acceleration of the baseball is calculated as follows
[tex]v^2 = u^2 + 2as\\\\0 = 32^2 + 2(-0.25)a\\\\0 = 1024 - 0.5a\\\\0.5a = 1024\\\\a = 2048 \ m/s^2[/tex]
The average force exerted by the ball on the glove when it was caught is calculated as follows:
[tex]F = ma\\\\F = 0.145 \times 2048\\\\F = 297 \ N[/tex]
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Your father used weigh 484 N.What was his mass (to the nearest tenth)?
Final answer:
To find your father's mass, divide the force (484 N) by the acceleration due to gravity (9.8 m/s^2). The mass is approximately 49.4 kg (to the nearest tenth).
Explanation:
To determine your father's mass, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). In this case, the force is 484 N (Newtons) and the acceleration is the acceleration due to gravity, which is approximately 9.8 m/s^2. Rearranging the formula, we get mass = force / acceleration, which gives us mass = 484 N / 9.8 m/s^2. Calculating this, we find that your father's mass is approximately 49.4 kg (to the nearest tenth).
What is a substance?
A
a uniform mixture that can't be separated
B. a mixture that can be separated
C.
a single component that can't be separated
D. a single component that can be separated
Reset
Next
Answer:
A single component that can’t be separated
brainliest please ;)
A substance is a single component that can't be separated. It can be an element or a compound, like pure water.
Explanation:A substance in the realm of chemistry is generally referred to as C. a single component that can't be separated. This implies that it consists of one type of particle only, and these particles cannot be separated by simple physical means. A substance can be either an element, which contains a single type of atom, or a compound, which contains molecules formed from different types of atoms chemically bonded together. For example, pure water (H2O) is a substance.
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A uniformly charged rod (length = 2.0 m, charge per unit length = 3.0 nc/m) is bent to form a semicircle. What is the magnitude of the electric field at the center of the circle?
Answer:
84.82N/C.
Explanation:
The x-components of the electric field cancel; therefore, we only care about the y-components.
The y-component of the differential electric field at the center is
[tex]$dE = \frac{kdQ }{R^2} sin(\theta )$[/tex].
Now, let us call [tex]\lambda[/tex] the charge per unit length, then we know that
[tex]dQ = \lambda Rd\theta[/tex];
therefore,
[tex]$dE = \frac{k \lambda R d\theta }{R^2} sin(\theta )$[/tex]
[tex]$dE = \frac{k \lambda d\theta }{R} sin(\theta )$[/tex]
Integrating
[tex]$E = \frac{k \lambda }{R}\int_0^\pi sin(\theta )d\theta$[/tex]
[tex]$E = \frac{k \lambda }{R}*[-cos(\pi )+cos(0) ]$[/tex]
[tex]$E = \frac{2k \lambda }{R}.$[/tex]
Now, we know that
[tex]\lambda = 3.0*10^{-9}C/m,[/tex]
[tex]k = 9*10^9kg\cdot m^3\cdot s^{-4}\cdot A^{-2},[/tex]
and the radius of the semicircle is
[tex]\pi R = 2.0m,\\\\R = \dfrac{2.0m}{\pi };[/tex]
therefore,
[tex]$E = \frac{2(9*10^9) (3.0*10^{-9}) }{\dfrac{2.0}{\pi } }.$[/tex]
[tex]$\boxed{E = 84.82N/C.}$[/tex]