Given 2 situations.
Situation 1:
Heat is a form of energy. Heat is transferred from a hot body to a cold body. Thus, in this situation, energy in the form of heat is being transferred from the cup to the spoon.
Situation 2:
When a spring is stretched, the energy will be stored in the spring in the form of the spring potential energy. When the spring is released, the energy is transferred to the ball in the form of kinetic energy. Due to this kinetic energy, the ball starts to move.
Thus, in both situations, the energy is transferred.
assignment questions
Answer:
which on a is the question
A ball is projected upward at time t = 0.0 s, from a point on a roof 90 m above the ground. The ball rises, then falls and strikes the ground. The initial velocity of the ball is 36.2 m/s if air resistance is negligible. The time when the ball strikes the ground is closest to
Answer:
The time when the ball strikes the ground is closest to \(t_t = 9.4 \ s\)
Explanation:
From the question we are told that
The time of projection is t = 0.0 s
The distance of the point from the ground is \(d = 90 \ m\)
The initial velocity of the ball is \(v _i = 36 .2 \ m/s\)
generally the time required to reach maximum height is
\(t_r = \frac{g}{v}\)
Where is the acceleration due to gravity with value \(g = 9.8 \ m/s^2\)
Substituting values
\(t_r = \frac{36.2}{9.8}\)
\(t_r = 3.69 s\)
when returning the time and velocity at the roof level is t = 3.69 s and u = 36.2 m/s this due to the fact that air resistance is negligible
The final velocity at which it hit the ground is
\(v_f^2 = u^2 + 2ag\)
So
\(v_f = \sqrt{ u^2 + 2gs}\)
substituting values
\(v_f = \sqrt{ 3.69^2 + 2* 9.8 * 90}\)
\(v_f = 55.45 \ m/s\)
The time taken for the ball to move from the roof level to the ground is
\(t_g = \frac{v-u}{a}\)
substituting values
\(t_g = \frac{55.45 -36.2}{9.8}\)
\(t_g = 1.96 \ s\)
The total time for this travel is
\(t_t = t_g + 2 t_r\)
\(t_t = 1.96 + 2(3.69)\)
\(t_t = 9.4 \ s\)
-
80
45
Water in Metal Can
Water in Styrofoam Cup
10
45
Students conducted a simple experiment to explore heat transfer. They constructed the closed system you see here: a metal soda can
inside a styrofoam cup. The metal can was filled with 80°C water and placed into the styrofoam cup containing colder water, 10°C.
The students predicted that the water in the metal can would decrease in temperature while the water temperature inside the cup
would increase. Base on the student data recorded in the data table, the prediction was correct. Explain how the transfer of heat
energy occurred. Select ALL the statements that could apply.
A)
Heat energy travels from high to low until equilibrium is met.
B)
Heat is transferred from one location to another via particle collisions.
The hot water had the highest temperature, and the greatest potential
energy
D)
The water in the can had more kinetic energy than the water in the outside
cup
E
Particle collisions transferred that energy from the hot water, to the can,
and then to the cooler water
Answer: The answer is A, B, D, and E
Explanation: Choose all those answers. USATestPrep says so.
can anyone heelp me pls
Answer:
Lotion - Semisolid
Suspension - Liquid
Capsule - Solid
nitrogen oxide or nox are polluants created by diesel engines that occor when nitrogeon and oxygen from the atmosphre
An engine's NOx emissions are caused by greater in-cylinder temperatures.
What causes NOx emissions in a diesel engines?An engine's NOx emissions are caused by greater in-cylinder temperatures. Although ester-based biodiesel and diesel fuel don't include nitrogen, the NOx are created by removing nitrogen from the air because 78% of all airborne nitrogen is nitrogen.Both the emissions from electrical power generation plants and the exhaust fumes from vehicles and trucks are significant sources of nitrogen oxides. More NO than NO2 is present in automobile exhaust, but once released into the environment, the NO quickly reacts with oxygen to generate NO2.To learn more about nitrogen oxides refer,
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If you drove day and night without stopping for one year without exceeding the legal highway speed limit in the United States, the maximum number of miles you could drive would be closest to:
In order to calculate the maximum number of miles, let's use a limit speed of 70 mph and consider a year with 365 days.
Since each day has 24 hours, so the number of hours in a year is 365 * 24 = 8760 hours.
Then, multiplying this number of hours by the speed of 70 miles per hour, we have:
8760 * 70 = 613,200 miles.
Therefore the maximum number of miles you could drive is closest to 613,200 miles.
3. A car with a mass of 1600 kg has a kinetic energy of 125 000 J. How fast is it moving?
The car is moving at approximately 12.5 meters per second.
The kinetic energy (KE) of an object can be calculated using the formula:
KE = 1/2 * m * \(v^2\)
where
KE = kinetic energy,
m =Mass of the object, and
v = velocity.
In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .
Substituting the values , we have:
125,000 J = 1/2 * 1600 kg *\(v^2\)
Now, we can solve for v by rearranging the equation:
\(v^2\) = (2 * 125,000 J) / 1600 kg
\(v^2\) = 156.25 \(m^2/s^2\)
Taking the square root, we find:
v = √156.25\(m^2/s^2\)
v ≈ 12.5 m/s
Therefore, the car is moving at approximately 12.5 meters per second.
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Discuss the circuits.
Name all the
components. What
will happen to bulb
B1 if the bulb B2 is
replaced with
connecting wire in
each circuit?
The series circuit has components connected in a sequence, while the parallel circuit has components connected in different branches. If bulb B2 is replaced with a wire in the series circuit, bulb B1 will not light up, while in a parallel circuit, it will still light up.
Circuits are basically the pathways that allow the flow of electric current. These circuits have different components. In this context, there are two circuits, the series circuit, and the parallel circuit. The series circuit has bulbs connected in a sequence where current flows through each bulb in turn. In contrast, the parallel circuit has bulbs connected to different branches. The current flows through each bulb separately.In a series circuit, the components are a power source, resistors, and wires. A power source can be a battery or a generator that is connected in a sequence with resistors and wires. The bulbs B1 and B2 are connected in series. If bulb B2 is replaced with a connecting wire, then the circuit will become incomplete, and bulb B1 will not light up. This is because in a series circuit, if one component is disconnected, the entire circuit becomes open, and the current stops flowing. Thus, if bulb B2 is replaced with a wire, the current will bypass the bulb, and the circuit will become incomplete. In a parallel circuit, the components are a power source, resistors, and branches. The bulbs B1 and B2 are connected in parallel. If bulb B2 is replaced with a connecting wire, the circuit will still work. This is because in a parallel circuit, each bulb has its branch, and the current flows through each bulb separately. Thus, if bulb B2 is replaced with a wire, the current will still flow through bulb B1, and it will light up.For more questions on the series circuit
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A train runs from New Delhi to Hyderabad it covers first of 420 km in 7 hours and the next distance of 360 km in 6 hours
Answer:
II. Gopi takes part in a car race. He drives a distance of 70 km each in the first, second and third hours.
Which of the following statements is true.
a) I, is an example uniform motion and II is an example of non-uniform motion.
b) I is an example of nonuniform motion and II is an example of uniform motion.
c) I and II are examples of uniform motion.
d) I and II are examples of nonuniform motion.
Please list in detail a community service you wish to develop. Your writings must include (1) The name of your community service (2) How are you funding your community service (3) Where is your community service taken place (4) Who is your community service wishing to assist (5) The purpose of your community service (6) In conclusion how do you overall feel about assiting you community
The name of my community service is “Feed the Homeless”. The aim of this program is to provide nutritious food and basic necessities to the homeless community in my city. The homeless community faces various challenges and difficulties in their everyday life.
One of the major challenges they face is the availability of food and basic necessities. The primary purpose of this community service is to alleviate the burden of the homeless population by providing them with healthy and fresh food.To fund this community service, we will be reaching out to various local businesses, donors, and fundraising events. We will also partner with food banks and other charitable organizations to support our program.Our community service will take place in various areas in the city, where we see a high population of homeless people. We will set up tents and food stations in these areas to distribute food and basic necessities.We are wishing to assist the homeless community who are deprived of food and basic necessities. Our program targets all ages and genders of homeless people and focuses on providing them with healthy and fresh food.The purpose of our community service is to help the homeless community in our city. We believe that providing healthy and fresh food to the homeless will not only alleviate their hunger but also their overall health. This service will also help to reduce food waste and promote a healthier lifestyle in the community.In conclusion, I am excited to assist the homeless community in my city through this community service program.It is essential to help and support people who are in need, and I believe that our small contribution can make a big impact. I hope that our program can inspire other individuals and organizations to get involved and help make a difference in our community.For such more question on charitable
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A proton in the nucleus of an atom has an electrical charge of:
neutral
-
+
zero
Answer:
proton is positively charged changechar
Explanation:
An atom of tin has an atomic number of 50 and a mass number of 119. How many protons, electrons, and neutrons are found in one neutral atom of tin?
O 50 protons, 69 electrons, 50 neutrons
O 50 protons, 50 electrons, 69 neutrons
69 protons, 50 electrons, 69 neutrons
69 protons, 69 electrons, 50 neutrons
Answer:
50 protons 50 electrons and 69 neutrons...
Explanation:
the number of protons is equal to number of electrons. then mass number is the sum of protons and neutrons in a nucleus so for we to get the number of neutrons we take the mass number subtract the protons number.
1) Two masses are connected by a rope over pulley as shown: [l] 7.0 kg and mz = 13.0 kg What is the acceleration of m? What is the acceleration of mz? What is the tension in the rope On 1i? What is the tension in the rope On mz?
The push magnitude and the tension of the code is 5.4 × 10^-4
What is cord?
cord is the slender flexible material usually consisting of several stands or twisted together.
It is wired covered in rubber or plastic which connects electrical equipment to an electricity supply.
The free body diagram as per the question with the tension of string T .
The force of gravity ~mg
The force of air ~f
Since the sphere is motionless the net force on it is 0.
And the x and y are the components of the equation are zero
Tsin + 0 = F
Tcos - mg= 0
Where ¥ = 32°
Thus we get
T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°
= 2.1×3.2×10^-4
Solving T
We can get the F =
(3.2×10^-4)sin 32° =
5.4 ×10^-4
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an object of 5kg is attached to a rope of length 4m is Rotating horizontally at 8m/s horizontally 20m above the ground if the rope is suddenly cut what is the horizontal distance travelled by the object? Please guys help
Answer:
16 meters
Explanation:
When the rope is suddenly cut the object moving tangent at the circle. In that moment the gravity act in the object making it falls.
First we need to find how much time de object take to reach at the ground.
VERTICALLY EQUATION:\(h(t)=h-v*t-\frac{g}{2} t^{2} \\\)g=acceleration of gravity=10m/s²
v= vertical velocity =0m/s
h=vertical altitude =20m
We will find t such that h(t)=0
\(0=20-5t^{2} \\\\5t^{2} =20\\\\t^{2} =4\\\\t=2s\)
HORIZONTALLY EQUATION:*horizontally we do not have acceleration\(D(t)=v*t\)v=horizontal velocity
D(t=2) is the horizontal distancetravelled by the object:
\(D(2)=8*2\\\\D(2)=16m\)
what is the formula to calculate area of sphere
A cap 6.000 cm in diameter plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure. The container is submerged to a depth of 10.00 ft in water. Assume the plug is planar and the pressure over the container is equalized. The force needed to remove the plug is closest to?
The force needed to remove the plug that is 6.000 cm in diameter which plugs an opening in a spherical container 1.000 m in diameter at atmospheric pressure is 85 N
P = F / A
P = ρ g h
P = Pressure
F = Force
A = Area
ρ = Density
g = Acceleration due to gravity
h = Height
ρ = 1000 kg / m³
g = 9.8 m / s²
h = 10 ft = 3.048 m
A = π r²
d = 6 cm = 0.06 m
r = d / 2 = 0.06 / 2
r = 0.03 m
A = 3.14 * 0.03 * 0.03
A = 0.002826 m²
Equating both formulae of P,
F / A = ρ g h
F = 1000 * 9.8 * 3.048 * 0.002826
F = 85 N
Therefore, the force needed to remove the plug is closest to 85 N
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At a baseball game, a ball of m = 0.15 Kg moving at a speed of v = 30m/s is caught by a fan.
a. Show that the impulse supplied to bring the ball to rest is 4.5 N x s. Remember to use the correct units (0.25pts)
b. Show that if the ball is stopped in 0.02 s, then the average force of the ball on the catcher’s hand is 225 N. Remember to use the correct units. (0.25pts)
A. The impulse supplied to bring the ball to rest 4.5 Ns. Details below
B The average force of the ball is 225 N. Details below
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final momentum – Initial momentum
Impule = m(v - u)
Where
m is the massu is the initial velocityv is the final velocityAlso,
Impulse = force × time
Therefore
Force × time = final moment – Initial momentum
A. How to determine the impulse
The impulse can be obtainedas illustrated below
Mass (m) = 0.15 KgInitial velocity = 30 m/sFinal velocity = 0 m/sImpulse =?Impulse = m(v + u) since the came to rest
Impulse = 0.15 × (0 + 30)
Impulse = 0.15 × 30
Impulse = 4.5 Ns
Thus, the impulse is 4.5 Ns
B. How to determine the average force
The average force can be obtained as follow:
Impulse = 4.5 NsTime = 0.02Average force = ?Impulse = force × time
4.5 = average force × 0.02
Divide both sides by 0.02
Average force = 4.5 / 0.02
Average force = 225 N
Thus, the average force is 225 N
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After a projectile is fired into the air, what is the acceleration in the x-
direction? (Assume no air resistance.)
A. O m/s2
B. 4.9 m/s2
C. 9.8 m/s2
D. 19.6 m/s2
(A)
Explanation:
There is no acceleration along the x-axis. Acceleration only occurs along the y-axis.
A video game where characters fight on different platforms needs to constantly update the speed and position of the characters. Which measure would be an initial condition in one of these games?
the size of the character in pixels
the downward acceleration due to gravity
the designation of y=0 as the lowest platform
the speed of a character at the moment of contact
Answer:
d: the speed of a character at the moment of contact
Explanation:
did the quick check
The measure which would be an initial condition in one of these games is
speed of a character at the moment of contact.
The speed of the character at the point of contact is the most suitable
option which tells the exact speed and position of the character in the
video game.
The moment of contact will determine the type of movement and position
exhibited by the players which can then be immediately updated when the
game is being played.
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An object of mass 2 kg moving with velocity of 12 m/s, collides head-on with a stationary object whose mass is 6 kg. Given that the collision is elastic, what are the final velocities of the two objects? Neglect friction.
Answer:
5. An object of mass m = 2 kg, moving with velocity Vi1 = 12 m/s, collides head-on with a stationary object whose mass is m2 = 6 kg. The velocities of the objects after the collision are vj1 -6 m/s and Vr2 = 6 m/s.
Explanation:
We can use the conservation of momentum and kinetic energy to solve for the final velocities of the two objects.
Conservation of momentum:
m1v1i + m2v2i = m1v1f + m2v2f
where m1 and v1 are the mass and velocity of object 1 before the collision, and m2 and v2 are the mass and velocity of object 2 before the collision.
Plugging in the values:
(2 kg)(12 m/s) + (6 kg)(0 m/s) = (2 kg)(v1f) + (6 kg)(v2f)
Simplifying:
24 kg m/s = 2 kg v1f + 6 kg v2f
Conservation of kinetic energy:
(1/2)m1v1i^2 + (1/2)m2v2i^2 = (1/2)m1v1f^2 + (1/2)m2v2f^2
Plugging in the values:
(1/2)(2 kg)(12 m/s)^2 + (1/2)(6 kg)(0 m/s)^2 = (1/2)(2 kg)(v1f)^2 + (1/2)(6 kg)(v2f)^2
Simplifying:
144 J = 1 kg v1f^2 + 3 kg v2f^2
Now we have two equations with two unknowns (v1f and v2f). Solving for v1f in terms of v2f in the first equation:
v1f = (24 kg m/s - 6 kg v2f)/2 kg = 12 m/s - 3v2f
Plugging this into the second equation:
144 J = 1 kg (12 m/s - 3v2f)^2 + 3 kg v2f^2
Simplifying and solving for v2f:
144 J = 1 kg (144 m^2/s^2 - 72 v2f + 9 v2f^2) + 3 kg v2f^2
144 J = 144 J - 72 kg m/s v2f + 9 kg m^2/s^2 v2f^2 + 3 kg v2f^2
6 kg v2f^2 - 72 kg m/s v2f + 144 J = 0
Dividing by 6 kg:
v2f^2 - 12 kg m/s v2f + 24 J/kg = 0
Using the quadratic formula:
v2f = [12 kg m/s ± sqrt((12 kg m/s)^2 - 4(1)(24 J/kg))]/(2)
v2f = [12 kg m/s ± sqrt(96) m/s]/2
v2f = 6 kg m/s ± 2sqrt(6) m/s
v2f ≈ 9.90 m/s or v2f ≈ 2.10 m/s
Plugging these values into the equation we found for v1f:
v1f = 12 m/s - 3v2f
v1f ≈ -16.70 m/s or v1f ≈ 38.70 m/s
Since the negative velocity doesn't make physical sense, the final velocities of the two objects are:
v1f ≈ 38.70 m/s and v2f ≈ 2.10 m/s
A lunar eclipse occurs when the Moon passes through Earth's
What is the current in the 60.0 Q resistor? 120.0 V O A. 80.0 A B. 2.00 A O C. 1.50 A OD. 12.0 A 60.002 20.0 Q A
2A
Given ,
Resistance=60
V=12
V=IR
I=V/R
I=120/60=2A
The pace at which electrons flow past a location in a complete electrical circuit is defined as current. At its most fundamental, current Means flow.
An ampere (AM-pir), sometimes known as an amp, is the international unit for measuring current. It denotes the number of electrons (also known as "electrical charge") that pass across a location in a circuit over a specific time period.
A current of one ampere indicates that one coulomb of electrons—that is, 6.24 billion billion (6.24 x 1018) electrons—moves across a circuit in one second. The method is comparable to determining how many gallons move through a single spot in a pipe in one minute (gallons per minute, or GPM).
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the radiation that is least damaging to humans is
The radiation that is least damaging to humans is non-ionizing radiation.
What is non ionizing radiationNon-ionizing radiation refers to the type of radiation that does not have enough energy to remove tightly bound electrons from atoms or molecules, thus not causing significant damage to biological tissues.
Examples of non ionizing radiation include radio waves, microwaves, visible light and low energy ultraviolet (UV) radiation. while excessive exposure to any form of radiation can have adverse effects, non-ionizing radiation is generally considered to be less harmful compared to ionizing radiation, which includes X-rays and gamma rays.
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what is the Vector product of A=2.00i+3.00j+1.00k and B= 1.00i -3.00j -2,00k
The vector product of A=2.00i+3.00j+1.00k and B=1.00i-3.00j-2.00k is C=9.00i+4.00j-9.00k.
To find the vector product (also known as the cross product) of two vectors, A and B, we can use the following formula:
C = A × B
Where C is the resultant vector, A and B are the given vectors, and × denotes the cross product.
Given A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k, we can substitute these values into the formula to find the vector product:
C = (2.00i + 3.00j + 1.00k) × (1.00i - 3.00j - 2.00k)
Now, let's expand the cross product using the properties of vector products:
C = (2.00i × 1.00i) + (2.00i × -3.00j) + (2.00i × -2.00k) +
(3.00j × 1.00i) + (3.00j × -3.00j) + (3.00j × -2.00k) +
(1.00k × 1.00i) + (1.00k × -3.00j) + (1.00k × -2.00k)
Now, let's calculate each of these cross products:
C = (2.00 × 1.00) \(i^2\) + (2.00 × -3.00) i × j + (2.00 × -2.00) i × k +
(3.00 × 1.00) j × i + (3.00 × -3.00) \(j^2\) + (3.00 × -2.00) j × k +
(1.00 × 1.00) k × i + (1.00 × -3.00) k × j + (1.00 × -2.00) \(k^2\)
Since i × j = k, j × k = i, and k × i = j, we can simplify the expression further:
C = 2.00k - 6.00i + 4.00i - 9.00j + k - 3.00j - 2.00j - 2.00k
Combining like terms, we get:
C = (2.00i + 4.00i) + (-6.00i - 9.00j - 3.00j) + (2.00k + k - 2.00k)
Simplifying further:
C = 6.00i - 12.00j + k
Therefore, the vector product of A and B is C = 6.00i - 12.00j + k, which can be written as C = 9.00i + 4.00j - 9.00k in terms of i, j, and k.
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The vector product of A and B is -3i - 5j - 9k.
Explanation:The vector product, also known as the cross product, of two vectors A and B is denoted as A x B. It is a vector that is perpendicular to both A and B. To calculate the vector product, you can use the formula A x B = (Ay * Bz - Az * By)i + (Az * Bx - Ax * Bz)j + (Ax * By - Ay * Bx)k.
In this case, we have A = 2.00i + 3.00j + 1.00k and B = 1.00i - 3.00j - 2.00k. Substituting the values into the formula, we get A x B = (3 * -2 - 1 * -3)i + (1 * 1 - 2 * -2)j + (2 * -3 - 3 * 1)k = -3i - 5j - 9k.
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A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.65 m/s. The car is a distance d away.
The bear is 32.4 m behind the tourist and running at 5.68 m/s. The tourist reaches the car safely. What is the maximum possible
value for d?
Answer:
146.27 m
Explanation:
From the question given above, the following data were obtained:
Velocity of tourist (vₜ) = 4.65 m/s
Distance travelled by tourist (dₜ) = d
Velocity of bear (v₆) = 5.68 m/s
Distance travelled by bear (d₆) = 32.4 + d
Value of d =?
Next, we shall determine the time taken for tourist and the bear to get to the car.
For the tourist:
Velocity of tourist (vₜ) = 4.65 m/s
Distance travelled by tourist (dₜ) = d
Time (tₜ) =?
vₜ = dₜ / tₜ
4.65 = d/tₜ
Cross multiply
4.65 × tₜ = d
Divide both side by 4.65
tₜ = d / 4.65
For the bear:
Velocity of bear (v₆) = 5.68 m/s
Distance travelled by bear (d₆) = 32.4 + d
Time (t₆) =?
v₆ = d₆ / t₆
5.68 = (32.4 + d) / t₆
Cross multiply
5.68 × t₆ = (32.4 + d)
Divide both side by 5.68
t₆ = (32.4 + d) / 5.68
NOTE: Both the tourist and the bear have the same time. Thus, to obtain the value of d, we shall equate both the time taken for the tourist and the bear together. This is illustrated below:
Time taken by tourist (tₜ) = time taken by the bear (t₆)
tₜ = d / 4.65
t₆ = (32.4 + d) / 5.68
tₜ = t₆
d / 4.65 = (32.4 + d) / 5.68
Cross multiply
d × 5.68 = 4.65 (32.4 + d)
5.68d = 150.66 + 4.65d
Collect like terms
5.68d – 4.65d = 150.66
1.03d = 150.66
Divide both side by 1.03
d = 150.66 / 1.03
d = 146.27 m
Thus, the maximum value of d is 146.27 m
Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.
A.)What is the amplitude of the wave ? Include correct units.
B.)Use the graph to determine the time of one wave. Use it to find the frequency.
C.)If the speed of the wave is 25 m/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.
(a) The amplitude of the wave is 0.2 m.
(b) The period of the wave is 4 s.
(c) The wavelength of the wave is 100 m.
What is the amplitude of the wave?(a) The amplitude of the wave is the maximum displacement of the wave.
amplitude of the wave = 0.2 m
(b) The period of the wave is the time taken for the wave to make one complete cycle.
period of the wave = 5.5 s - 1.5 s = 4 s
(c) The wavelength of the wave is calculated as follows;
λ = v / f
where;
v is the speed of the wavef is the frequency of the wavef = 1/t = 1 / 4s = 0.25 Hz
λ = ( 25 m/s ) / 0.25 Hz
λ = 100 m
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A car is moving at a constant speed along a straight line. Which statement is true about the forces acting on the car?
The statement that is true about the forces acting on the car is that the net force acting on the car from all directions is zero. Option A is correct.
What is force?Force is defined as the push or pulls applied to the body. Sometimes it is used to change the shape, size, and direction of the body.
The complete question is
"A car is moving at a constant speed along a straight line. Which statement is true about the forces acting on the car?
A.
The net force acting on the car from all directions is zero.
B.
The net force acting on the car is greater than the car's weight.
C.
The net force acting on the car is in the direction of the car's motion.
D.
The net force acting on the car is in the opposite direction of the car's motion."
The net force operating on the automobile in all directions is zero,
The statement that is true about the forces acting on the car is that the net force acting on the car from all directions is zero. Option A is correct.
Hence option A is correct.
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When a skater pulls her arms in, it
reduces her moment of inertia from
2.12 kg m² to 0.699 kg-m². If she was
initially spinning 3.25 rad/s, what is
her final angular velocity?
The skater's final angular velocity is approximately 9.86 rad/s.
The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:
L = Iω
where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.
Initially, the skater has an angular momentum of:
L_initial = I_initial * ω_initial
Substituting the given values:
L_initial = 2.12 kg m² * 3.25 rad/s
The skater's final angular momentum remains the same, as angular momentum is conserved:
L_final = L_initial
The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:
L_final = I_final * ω_final
0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s
Solving for ω_final:
ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²
Hence, the skater's final angular velocity is approximately 9.86 rad/s.
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What is the correct equation for the x axis of object A?
F-T=mga
• NA-WA=0
T=тда
Ng-WB=0
Please help me pleaseeeeeeeee
The correct equation for the x-axis of object A is F-T = mga, where F is the force acting on object A, T is the tension in the rope, m is the mass of object A, g is the acceleration due to gravity, and a is the acceleration of object A.
- From NA - WA = 0, we know that the normal force acting on object A is equal to its weight, NA = WA = mg = 75 kg * 9.81 m/\(s^2\) = 735.75 N.
- From Ng - WB = 0, we know that the weight of object B is equal to the weight of the hanging mass, WB = mg = 75 kg * 9.81 m/\(s^2\) = 735.75 N.
- The tension in the rope is equal to the weight of the hanging mass, T = WB = 735.75 N.
- From F - T = mga, we can solve for the acceleration of object A, a = (F - T) / m = (mA * g - T) / mA = (mA * g - 735.75 N) / mA.
- Substituting the given values of mA = 50 kg and g = 9.81 m/\(s^2\), we get a = (50 kg * 9.81 m/\(s^2\) - 735.75 N) / 50 kg = 4.549 m/\(s^2\).
- Therefore, the correct equation for the x-axis of object A is F-T = mga = 50 kg * 4.549 m/\(s^2\) = 227.45 N.
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Two balls collide and bounce off of each other. Ball A has a mass of 4.00kg and an initial velocity of 10.0m/s. Ball B has a mass of 6.00kg and an initial velocity of
-5.00m/s.
A. What is the initial momentum of the system?
B. Ball B bounces off with a velocity of 7.00m/s. What is the velocity of Ball A?
C. Prove if this is a perfectly elastic collision or not.