approximately 4.18 seconds after the release of the first stone, the two stones will cause a single splash in the calm pool of water.
To solve this problem, let's break it down step by step:
1. Find the time it takes for the first stone to reach the water:
The first stone has an initial velocity of 2 m/s, and it falls vertically downward. We can use the kinematic equation for vertical motion to find the time it takes for the stone to reach the water.
The equation for displacement in vertical motion is given by:
y = v₀t + (1/2)gt²
In this case, the initial vertical velocity (v₀) is 2 m/s, and the acceleration due to gravity (g) is approximately 9.8 m/s². We want to find the time (t) when the stone reaches the water, so the displacement (y) would be equal to the height of the cliff, which is 50 m.
Substituting the known values into the equation:
50 = 2t + (1/2)(9.8)t²
Simplifying the equation, we get:
4.9t² + 2t - 50 = 0
This is a quadratic equation in terms of t. We can solve it using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
For this equation, a = 4.9, b = 2, and c = -50.
Calculating the values:
t = (-2 ± √(2² - 4(4.9)(-50))) / (2 * 4.9)
Simplifying further:
t = (-2 ± √(4 + 980)) / 9.8
t = (-2 ± √984) / 9.8
t = (-2 ± 31.36) / 9.8
Using the positive value of the square root:
t ≈ 3.18 s
Therefore, it takes approximately 3.18 seconds for the first stone to reach the water.
2. Determine the time after the release of the first stone when the two stones will cause a single splash:
The second stone is released 1 second after the first stone. So, we need to find the time it takes for the second stone to reach the water after 1 second has elapsed since the release of the first stone.
The time it takes for the second stone to reach the water is given by:
t₂ = t + 1
Substituting the value of t from the previous step:
t₂ ≈ 3.18 s + 1
t₂ ≈ 4.18 s
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A test car and its driver, with a combined mass of 600 kg, are moving along a straight,horizontal track when a malfunction causes the tires to stop rotating. The car skids to a halt with constant acceleration, leaving skid marks on the road during the whole time it skids. Which two of the following measurements, taken together, would allow engineers to find the total mechanical energy dissipated during the skid?
A. The length of the skid marks
B. The contact area of each tire with the track.
C. The coefficent of static frction between the tires and the track.
D. The coefficent of static frction between the tires and the track.
Answer:
The two of the following measurements, when taken together, would allow engineers to find the total mechanical energy dissipated during the skid
B. The contact area of each tire with the track.
C. The co-efficent of static friction between the tires and the track.
D. The co-efficent of static friction between the tires and the track.
Explanation:
I need help with this problem. Please show your work and dont round the numbers at all.
The gauge pressure of the liquid is 92330 atm.
What is Bernoulli's principle ?
Bernoulli's principle states that, 'total energy of a given mass of liquid flowing through a pipe line under streamline flow is constant.
Here,
The rate of flow of fluid, Q = AV
i.e,
A₁v₁ = A₂v₂
Substituting the values in the equation,
\(\pi\)(d₁)² x 4.6 = \(\pi\)(d₂)²x v₂
v₂ = 4.6x (d₁/d₂)²²
v₂ = 4.6x (3.3/2)²
v₂ = 4.6x 2.72
v₂ = 12.51 m/s
According to Bernoulli's theorem,
P₁ + 1/2ρv₁² = P₂ + 1/2ρv₂²
1.6x 10⁵ + 0.5x 1000x (4.6)² = P₂ + 0.5x 1000x (12.51)²
17.058x 10⁴ = P₂ + 78.25x 10³
P₂ = 17.058x 10⁴ - 78.25x 10³
P₂ = 92330 atm
Hence,
The gauge pressure of the water flowing through the constricted segment, P₂ = 92330 atm
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Who loves horror movies
Answer:
meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!!!!!!!!!!!!
Explanation:
Answer:
Halloween, It, Exorcist, Shining, Ring :)
Explanation:
Please help guyss!!!
You leave your house walk 2 miles north to go to the store, then 3 miles south to go to a friend's house. What is your total DISPLACEMENT and DISTANCE traveled?
Explanation:
The distance traveled north ward = 2 miles
distance traveled south ward = 3miles
Displacement is the distance traveled in a specific direction. So, it depend on the start and finish point.
The displacement = 3 miles - 2miles = 1mile southward
Distance is the total length of path;
Distance = 3 miles + 2 miles = 5miles
URGENT!!!
Calculate the frequency of violet light if the wavelength in air is 430nm.
* speed.of violet light in the prism = 2×10^8 m/s
* 1nm = 10^-9
* velocity of light in air = 3×10^8 m/s
Answer:
\(f=6.97\times 10^{14}\ Hz\)
Explanation:
Given that,
Wavelength, \(\lambda=430\ nm=430\times 10^{-9}\ m\)
We need to find the frequency of the violet light.
We know that the relation between frequency and wavelength is given by :
\(f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{430\times 10^{-9}}\\\\f=6.97\times 10^{14}\ Hz\)
So, the frequency of violet light is \(6.97\times 10^{14}\ Hz\).
a. l1 =20 A and l2 =24 A
B. l1 = 20A and l2 = 12 A
C. l1 = 26 A and l2 = 12 A
D. l1 = 24 A and l2 = 8 A
Answer:
when u find out pls lmk! i have the same question and I've been stuck for a while lol
which tags have their own transmitter and a power source (typically a battery)?
RFID (Radio Frequency Identification) tags have their own transmitter and a power source, typically a battery.
RFID tags are small electronic devices that can be attached to or embedded in various objects, allowing them to be tracked and identified using radio waves.
These tags contain a microchip that stores information about the object they are attached to, and a transmitter that sends this information wirelessly to an RFID reader.
There are two types of RFID tags: active and passive.
Active RFID tags have their own power source (typically a battery) and can transmit information over longer distances than passive tags, which rely on the energy of the RFID reader to transmit their information.
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How can you cause a cart moving to the right at a constant speed to move to the left at a constant speed.
Answer:
The answer is below hoped it helped
Explanation:
Forces, when unbalanced, cause objects to accelerate. And the direction of the acceleration is the same as the direction of the extra force. Just because an object is moving to the right does not mean there is more right force than left force. Whether the right or the left force is bigger depends on whether the object is speeding up or slowing down. There must be more right force than left force if an object is moving to the right and speeding up. There must be more left force than right force if an object is moving to the right and slowing down.
1. Calculate the elastic potential energy when a spring with a spring constant of 15 N/m is extended by the
following amounts:
a) 1 m
d) 15 m
g) 0.3 m
b) 125 cm
e) 13 m
h) 12 m
c) 99 m
f) 120 cm
i) 0.05 km
The elastic potential energy will be =
For a) 7.5J
For d) 1687.5J
For g) 0.675J
For b) 11.718J
For e) 1267.5J
For h) 1080J
For c) 73507.5J
For f) 10.8J
For i) 18750J
According to the formula for calculating elastic potential energy,
Elastic potential energy (u) = 1/2 x spring constant x \((amount of extension)^{2}\)
Let was calculate the value of 1/2 x spring constant to simplify the equation = 1/2 x 15 = 7.5
for a) 7.5 x \(1^{2}\) = 7.5J
for d) 7.5 x \(15^{2}\) = 1687.5J
for g) 7.5 x \(0.3^{2}\) = 0.675J
for b) 7.5 x \(1.25^{2}\) = 11.718J
for e) 7.5 x \(13^{2}\) = 1267.5J
for h) 7.5 x \(12^{2}\) = 1080J
for c) 7.5 x \(99^{2}\) = 73507.5J
for f) 7.5 x \(1.2^{2}\) = 10.8J
for i) 7.5 x \(50^{2}\) = 18750J
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A 1479-kg car pulls a boat on a trailer. (a) What total force, in Newtons, resists the motion of the car, boat, and trailer, if the car exerts a 2599-N force on the road and produces an acceleration of 0.693 m/s2 ? The mass of the boat plus trailer is 621 kg.
The total force resisting the motion of the car, boat, and trailer is 4053.46 N.
To calculate the total force resisting the motion of the car, boat, and trailer, we need to consider the forces acting on the system. The force exerted by the car on the road is given as 2599 N, and the acceleration produced by the car is 0.693 m/s².
The total force resisting the motion is the sum of the resistive forces acting on the car, boat, and trailer. The resistive force on the car is equal to its mass multiplied by its acceleration, which is (1479 kg) * (0.693 m/s²) = 1024.407 N.
The boat and trailer together have a mass of 621 kg. According to Newton's second law (F = ma), the resistive force acting on the boat and trailer is (621 kg) * (0.693 m/s²) = 430.053 N.
the total force resisting the motion of the car, boat, and trailer is the sum of the forces: 2599 N (car) + 1024.407 N (car resistive force) + 430.053 N (boat and trailer resistive force) = 4053.46 N.
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A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A. What gear ratio G is required to drive this load at its maximum operating speed? Hint: The load torque intercepts the motor torque in two places, only one will be positive, dwop you will again need to solve = 0. dG
A DC motor is powered with Ea = 400V, the armature resistance is Ra = 20, the torque constant of the motor is K+ = 1 Nm/A.
What gear ratio G is required to drive this load at its maximum operating speed?The load torque intercepts the motor torque in two places, only one will be positive, drop you will again need to solve = 0. d the given details are Ea = 400VRa = 20K+ = 1 Nm/A
To find; Gear ratio G required to drive this load at its maximum operating speed.
Formula used: θ=K+ * Ia The motor torque, Tm = K+ * Ia The load torque, TL = J * dw / G The armature current, Ia = (Ea - V) / Ra By equating the motor torque and load torque, we have; K+ * Ia = TL The load torque is positive, so we have;TL = J * dw / G Since the load is operating at maximum speed, d w = 0So, TL = 0 = J * 0 / G
Thus, G is not found in the equation.
So, we can conclude that G does not affect the maximum speed of the motor. The maximum speed is determined by the back EMF, Ea, and the motor constants, K+ and Ra.
So, the gear ratio G is irrelevant in determining the maximum speed of the motor.
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The pressure of a gas goes from 1 atm to 0.5 atm. based on the relationship between pressure and volume, what will happen to the volume of the gas?
Based on the relationship between pressure and volume, the volume of the gas will increase if the pressure of a gas goes from 1 atm to 0.5 atm.
According to ideal gas equation,
PV = nRT
P = Pressure
V = Volume
n = Number of moles
R = Gas constant
T = Temperature
At constant Temperature,
P ∝ 1 / V → ( 1 )
From ( 1 ), it can be clearly seen that pressure is inversely proportional to volume. So as pressure increases the volume will decrease and if the pressure decreases, the volume will increase. In the given situation, the pressure is decreased. So the volume will increase.
Therefore, the volume of the gas will increase if the pressure of a gas goes from 1 atm to 0.5 atm.
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Please select the best answer from the choices provided
A
B
C
D
Answer:
D hope this helps plz mark brainliest
Explanation:
An engine causes a car to move 10 meters with a force of 100 N. The engine produces 10,000 J of energy. What is the efficiency of this engine.
A substance is heated with 1000 J and does 700 J of work on the atmosphere. What is the change in internal energy of the substance?
The work done by a piston is measured to be 1000 J. If the pressure is a constant 1000 Pa, what is the change in volume of the piston?
Is the process described in #10 isovolumetric? Explain.
Answer:
Part A
The efficiency of the engine is 10%
Part B
The change in internal energy is 300 J
Part C
The change in volume is 1 m³ which is one cubic meter
Explanation:
Part A
Efficiency is defined as the ratio of energy output to energy input;
The given parameters are;
The distance the car is moved, d = 10 meters
The force which moves the car, F = 100 N
The amount of energy produced by the engine = 1,000 J
Therefore, we have;
The energy output to the car = The work done on the car = Force applied to the car, F × The distance the car moves, d;
∴ The energy output to the car by the engine = F × d = 100 N × 10 m = 1,000 J
The energy input from the engine = The energy produced by the engine = 10,000 J
The efficiency of the engine = (The energy output)/(The energy input)= 1,000J/10,00J = 0.1
The efficiency in percentage = 0.1 × 100 = 10 %
The efficiency of the engine = 10%
Part B
The amount of heat added to the substance, ΔQ = 1,000J
The amount of work the substance does on the atmosphere, W = 700 J
The change in internal energy, ΔU is given as follows;
ΔQ = W + ΔU
∴ ΔU = ΔQ - W
For the substance, we have;
The change in internal energy, ΔU = 1,000 J - 700 J = 300 J
Part C
The work done by the piston, W = 1,000 J
The pressure, in the piston, P = 1,000 Pa = constant
The work done by the piston in a constant pressure process, W = P × ΔV
Where;
W = The work done
P = The constant pressure applied
ΔV = The change in volume = V₂ - V₁
V₂ = The final volume
V₁ = The initial volume
∴The change in volume ΔV = W/P = 1,000 J/(1,000Pa) = 1 m³
The change in volume ΔV = 1 m³
what type of nuclear decay involves the conversion of a neutron to a proton and the accompanying emission of high-speed electrons from the unstable nucleus?
The type of nuclear decay that involves the conversion of a neutron to a proton and the accompanying emission of high-speed electrons from the unstable nucleus is beta decay.
In beta decay, a neutron in the nucleus transforms into a proton, and an electron and an antineutrino are emitted from the nucleus. This process helps to stabilize the nucleus and reduce its overall energy.
The type of nuclear decay you're referring to is called "beta minus decay" (β- decay). In beta minus decay, a neutron is converted into a proton, and an electron (high-speed electron called a beta particle) is emitted from the unstable nucleus.
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what 3 things are produced as a result of the fusion of two atoms
Answer:
Electron, proton and neutron
Explanation:
In each and every atom they are consist of electron, proton and neutron.
In a solar panel for heat supply,state the function of each of the following parts:a) metal flat plate b) thermal insulator c) tubes
Thermal insulators stop the loss of accumulated heat, metal flat plates absorb solar radiation, and tubes absorb solar energy with the least amount of heat loss.
Briefing : A coated metal plate absorbs solar energy, raising its temperature above the surrounding air. The plate then disperses energy into its immediate surroundings through radiation and convection. The heat-transfer fluid receives the heat as a result, and the hot water system is then fueled. Thermal solar collectors with insulation improve absorption efficiency and prevent the loss of accumulated heat.These tubes absorb the sun's energy while minimizing heat loss to the environment by using a vacuum, or evacuated space. The heat captured from the Sun is transferred to the water through a heat pipe that is attached to an inner metal tube that serves as the absorber plate.To know more about vacuum :
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what will most likely happen if a sound wave moves from the air through a solid
Answer:
The sound will become less noticeable, or deafen.
Explanation:
A bus start from rest. If the acceleration of bus is 0.5 m/s square. what will be its velocity at the end of 2 minutes?what will be the distance cover?
Answer:
3586
Explanation:
by using formula s=it+0.5at^2
Answer:
\(\fbox {Velocity = 60 m/s, Distance = 3600 m}\)
Explanation:
Part (i) : Velocity at end of 2 minutes
Equation used ⇒ \(\boxed {v = u + at}\)
⇒ t = 2 minutes = 2 x 60 = 120 seconds
⇒ v = 0 + (0.5)(120)
⇒ v = 60 m/s
Part (ii) : Distance covered
Equation used ⇒ \(\boxed {S = \frac{v^{2}-u^{2}}{2a}}\)
⇒ S = (60)² - (0)² / 2(0.5)
⇒ S = 3600 m
what does displacement mean in an equation?
If the frequency of sound wave is doubled, the wavelength:
Answer:
decreases
Explanation:
halves and the speed remains unchanged.
derive an expression from the energy stored E, in a stretched wire of original length L cross sectional area A, e, tension e,and young modulus Y of the material of the wire
The expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by E = Y * e * ln(L) * A
How to explain the expressionThe work done to stretch the wire can be calculated by integrating the force applied over the displacement. In this case, the force applied is the tension (T) in the wire, and the displacement is the change in length (ΔL) from the original length (L) to the stretched length (L + ΔL).
The tension in the wire is given by Hooke's law, which states that the tension is proportional to the extension of the wire:
T = Y * (ΔL / L)
where Y is the Young's modulus of the material of the wire.
Now, let's calculate the work done to stretch the wire:
dW = T * dL
Integrating this expression from L to L + ΔL:
W = ∫ T * dL = ∫ Y * (ΔL / L) * dL
W = Y * ΔL * ∫ (dL / L)
W = Y * ΔL * ln(L) + C
Here, C is the constant of integration. Since the energy stored in the wire is zero when it is unstretched (ΔL = 0), we can set C = 0.
Finally, the expression for the energy stored in the wire (E) is:
E = W = Y * ΔL * ln(L)
or, if we substitute the cross-sectional area (A) and strain (e) of the wire, where e = ΔL / L:
E = Y * e * ln(L) * A
Thus, the expression for the energy stored (E) in a stretched wire of original length (L), cross-sectional area (A), tension (T), and Young's modulus (Y) is given by:
E = Y * e * ln(L) * A
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If D=-5i +6j -3k and E= 7i +8j + 4k
Find D × E and show that D is perpendicular to E
To find the cross product of vectors D and E, we can use the formula:
D × E = (Dy * Ez - Dz * Ey)i - (Dx * Ez - Dz * Ex)j + (Dx * Ey - Dy * Ex)k
Given:
D = -5i + 6j - 3k
E = 7i + 8j + 4k
Calculating the cross product:
D × E = ((6 * 4) - (-3 * 8))i - ((-5 * 4) - (-3 * 7))j + ((-5 * 8) - (6 * 7))k
= (24 + 24)i - (-20 - 21)j + (-40 - 42)k
= 48i + 41j - 82k
To show that D is perpendicular to E, we need to demonstrate that their dot product is zero. The dot product is given by:
D · E = Dx * Ex + Dy * Ey + Dz * Ez
Calculating the dot product:
D · E = (-5 * 7) + (6 * 8) + (-3 * 4)
= -35 + 48 - 12
= 1
Since the dot product of D and E is not zero, it indicates that D and E are not perpendicular to each other. Therefore, D is not perpendicular to E.
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Newer aircraft jet catapult systems use magnets instead of steam. The launch still takes 1.19 seconds, but the acceleration is a about 47.41 m/s2. Determine the length of the runway on the carrier, assume the aircraft starts from REST
Answer:
33.6 m
Explanation:
Given:
v₀ = 0 m/s
a = 47.41 m/s²
t = 1.19 s
Find: Δx
Δx = v₀ t + ½ at²
Δx = (0 m/s) (1.19 s) + ½ (47.41 m/s²) (1.19 s)²
Δx = 33.6 m
20
All electromagnetic waves travel at the speed of light (300,000,000 m/s). However, even at this speed, if a radio
transmission is sent to astronauts on the Moon, there is a delay between the time that the message was sent
and the time that the astronauts receive it. Why?
0/1
Radio waves travel at a slower speed through a vacuum than they do through air.
The Moon is very far away from the Earth and it takes time for radio messages to travel.
Ο Ο Ο Ο
Asteroids and other space debris interfere with radio transmissions from Earth.
Radio waves are delayed as they pass through Earth's atmosphere.
Answer:
t = S / V = 3.8E8 / 3E8 = 1.3 sec
It takes over 1 second for a radio signal to travel between the earth and the moon.
Please help me on this 1 assignment im giving 25 points GOOD LUCK!
Answer:
Explanation:
im sorry if this doesn't help but i think its A
PLS ANSWER FAST WILL GIVE BRAINLY!!!
How can you know if something has energy?
Answer:
You'll see it without noticing
Explanation:
for example: Magnets can pull to one thing, but using the other side of the magnet with the other magnet can push away the magnets, and turn it to their way of pulling, also electricity, movement, were making energy everyday, just by moving
A boat sailed 560 km in 8 hrs. It took three hours to travel the first 150 km. What was it’s average speed for the remaining journey?
Answer:
82 km/h
Explanation:
Given that A boat sailed 560 km in 8 hrs. It took three hours to travel the first 150 km. That is,
The remaining distance will be:
560 - 150 = 410 km
the remaining time will be:
8 - 3 = 5 hours
For the remaining Journey, average speed will be:
Speed = distance/time
Speed = 410/5
Speed = 82 km/h
Therefore, the average speed for the remaining journey will be 82 km/h
Having _________is the most obvious difference between a eukaryotic and a prokaryotic cell, but there are other differences as well.
a
DNA
b
Cytoplasm
c
a pulse
d
a nucleus
Prokaryotic cells don’t ____________ have like eukaryotic cells.
a
DNA
b
membrane-bound organelles
c
cytoplasam
d
brains
Prokaryotic cells are also usually around ____________ than eukaryotic cells
a
ten times larger
b
half the size
c
ten times smaller
d
twice as large
An example of an organism that is eukaryotic would be
a
bacteria cell
b
animal cell
c
archaea
An example of a prokaryotic organism?
a
plant and animal cell
b
fungi
c
bacteria
d
human cell
GIVE ME ANSWERS AND I WILL GIVE U BRAINLIEST AD 50 POINTS
Answer:
1. d. a nucleus
2. b. Membrane-bound organelles
3. c. ten time smaller
4. b. animal cell
5. c. Bacteria
Explanation:
Hope this helps... :)
A vector is 14.4 m long and
points in a 133 degree
direction.
Find the y-component of the
vector.
The y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
A vector force is defined as a vector quantity having both magnitude and direction.
If the magnitude of a vector is 14.4m long points in a 133-degree direction, then the y-component of the vector force will be expressed as:
\(v_y = vsin \theta\)
Given the following parameters
\(v = 14.4m\\\theta = 133-90=43^0\)
Substitute the given parameters into the expression
\(v_y=14.4 sin 43^0\\v_y=9.82m\)
Hence the y-component of the vector if the vector is 14.4 m long and points in a 133 degree direction is 9.92m
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Answer:
10.5
Explanation:
The equation for the y-component is Asin(theta) so the equation for this problem would be 14.4sin(133) which equals 10.5314933. We round this equation down to 10.5 and that is your answer.