(a) Both spheres are launched with 0 initial velocity in the vertical direction, so they both hit the ground at time t such that
10 m - 1/2 g t ² = 0
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
Solve for t :
10 m = 1/2 g t ²
t ² = (20 m) / g
t ≈ 1.4 s
(b) Sphere A travels a horizontal distance of
(5.0 m/s) (1.4 s) ≈ 7.1 m
while sphere B travels a distance of
(2.5 m/s) (1.4 s) ≈ 3.6 m
Trên một đoạn đường thẳng AC cho điểm B nằm giữa AC sao cho BC = 4AB . Tại thời điểm t = 0 xe thứ nhất chuyển động đều qua A với tốc độ v1 hướng về C, xe thứ hai chuyển động đều qua B với tốc độ v2 cùng hướng với xe thứ nhất. Đến thời điểm t = 1.5h hai xe gặp nhau tại C. Biết rằng quảng đường mỗi xe đi dược trong một giờ hơn kém nhau 10km. Tính v1, v2 và khoảng cách từ A đến C.
Answer:
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page:
+ At what height from surface of earth accelaration
due to gravity is half of the surface
Answer:
(R=6. 4×106m)
Explanation:
The height above the surface of earth at which acceleration due to gravity is half the acceleration due to gravity at surface of earth
Explanation:
acceleration due to gravity at surface of earth is (R=6. 4×106m)
hope this answer helps you
A cannonball is launched horizontally from the top of a 166 m
cliff with an original speed of 35.9 m/s.
Determine the horizontal displacement (in m) of the cannonball.
The horizontal displacement of the cannonball is 65.75 meter.
What is speed?Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
original speed: u= 35.9 m/s.
acceleration due to gravity: g = 9.8 m/s².
Initial height of the cannonball = 166 m.
Hence, the horizontal displacement of the cannonball = u²/2g
= 35.9²/(2×9.8) meter
= 65.75 meter.
so, the displacement of the cannonball is 65.75 meter.
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5. If a runner is moving with a speed of 1.5m/s and changes her speed to 2.1m/s over a
time period of 3s, what is her average speed?
Answer:
1.2m/s
Explanation:
two speeds added together divided by total time.
Electric current passing though a wire produces
Answer:
electrical energy so that there would be a flow of light
Define 1 joule work ?
Explanation:
Force is applied to lift a body against the force of gravity. Example: If an object is lifted to a certain height (h)
An atom of an element can be modeled in several ways. The diagram below shows one model of an atom.
What can be located in the lighter shaded region surrounding the nucleus?
A.
electrons
B.
neutrons
C.
molecules
D.
protons
STUDY ISLAND
Answer:
Electrons
Explanation:
Protons and Neutrons are found within the nucleus and while electrons are much smaller and found outside the nucleus
Answer:
c
Explanation:
If a car travels 1,000 m in 60 seconds how fast is it going?
Answer:
see below
Explanation:
1000 m / 60 s = 16 2/3 m/s
2ZnS plus 2O2 yields 2ZnO plus SO2 what is number in each category and is it balanced or unbalanced
Answer:
2 ZnS + 3O2 ---> 2ZnO + 2 SO2
Explanation:
2 ZnS + 2O2 ---> 2ZnO + SO2
There are 2 Zn atom on the LHS and 2 Zn on the RHS. Hence the Zn is balanced on both sides of the equation.
There are two S atom on the LHS but there is only one S atom on the RHS.
Hence we will balance the S atoms
2 ZnS + 2O2 ---> 2ZnO + 2 SO2
Now the oxygen is unbalanced as there are three oxygen molecule on the RHS but only two on the LHS.
Hence, the balanced equation would be
2 ZnS + 3O2 ---> 2ZnO + 2 SO2
How does the newton law work
Answer:
The first law is that if no force acts on an object, its motion will not change. In the second law, the force acting on an object is equal to its mass and acceleration. The third law is that when two objects interact, they act on each other with equal magnitude and opposite forces.
an object that is 15 cm tall is placed 44 cm in front of a diverging lens. A virtual image appears -14cm in front of the lens. determine the focal length of the lens .
SHOW YOUR WORK.
A) 0.09cm
B)-20.53cm
C)10.6cm
D)-0.04cm
Answer:
The correct option is (b).
Explanation:
Given that,
The height of the object, h = 15 cm
Object distance, u = -44 cm
Image distance, v = -14 cm
We need to find the focal length of the lens. Using the lens formula.
\(\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u}\\\\\dfrac{1}{f}=\dfrac{1}{(-14)}-\dfrac{1}{(-44)}\\\\f=-20.53\ cm\)
So, the focal length of the lens (-20.53 cm).
Waves have energy that causes particles in matter to vibrate. So, it stands to reason that
Responses
the lower the energy, the faster the particles vibrate (which means a lower frequency).
the higher the energy, the slower the particles vibrate (which means a lower frequency).
the lower the energy, the slower the particles vibrate (which means a higher frequency).
the higher the energy, the faster the particles vibrate (which means a higher frequency).
The higher the energy, the faster the particles vibrate (which means a higher frequency).
option D
What causes the vibration of particles of a wave?
Waves like sound wave is produced when an object vibrates, creating a pressure wave.
This pressure wave causes particles in the surrounding medium to have vibrational motion. As the particles vibrate, they move nearby particles, transferring energy between neighboring particles, creating a faster vibration as the energy transmitted increases.
Thus, we can conclude that, waves have energy that causes particles in matter to vibrate. So, it stands to reason that the higher the energy, the faster the particles vibrate (which means a higher frequency).
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Date
Points 100
Submitting an external tool
If two objects have the same density, they must have the same
a
mass
b volume
C length to width ratio
d mass to volume ratio
nt?
Check it
Answer:
B
Explanation:
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imagine that you are standing on the (airless) moon, and you drop four objects, each the size of a bowling ball. each is made of a different substance. one object is a pumpkin, and the others are made of styrofoam, lead, or bubble wrap. in what order do they reach the ground? choose one: a. lead, bubble wrap, pumpkin, styrofoam b. none of the answers is correct; the objects all reach the ground at the same time. c. lead, pumpkin, bubble wrap, styrofoam d. pumpkin, styrofoam, lead, bubble wrap
The rest are constructed of bubble wrap, lead, Styrofoam, and one is a pumpkin. The items all arrive at the ground simultaneously; none of the responses are accurate.
Styrofoam is a type of plastic foam that is commonly used for insulation, packaging, and food service products. It is also known as polystyrene foam, which is made from styrene, a synthetic chemical derived from petroleum. Styrofoam is lightweight, durable, and has excellent insulation properties, which makes it ideal for a wide range of applications.
Styrofoam is produced by expanding polystyrene beads with steam and then fusing them together to form a solid block or shape. The resulting material is strong, rigid, and has a closed-cell structure, which makes it resistant to water and moisture. It is also a good insulator, which is why it is commonly used for insulation in buildings and homes. Styrofoam is widely used for packaging materials due to its lightweight, low cost, and ease of use. It is also used for disposable food containers, cups, and plates.
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Complete Question:-
Imagine that you are standing on the (airless) Moon, and you drop four objects, each the size of a bowling ball. Each is made of a different substance. One object is a pumpkin, and the others are made of Styrofoam, lead, or bubble wrap. In what order do they reach the ground?
a. lead, bubble wrap, pumpkin, styrofoam
b. none of the answers is correct; the objects all reach the ground at the same time.
c. lead, pumpkin, bubble wrap, styrofoam
d. pumpkin, styrofoam, lead, bubble wrap
A particle in uniform circular motion requires a net force acting in what direction? A. Towards the center of the circle. B. In the direction of velocity. C. Opposite the direction of the velocity. D. Away from the center of the circle. E. Upward. F. Downward
A particle in uniform circular motion requires a net force acting towards the center of the circle. So option A is correct.
The net force acting on a particle moving in a circular path is always directed towards the center of the circle. The motion of a particle in a circular path is characterized by the direction of its velocity and acceleration at each instant in time. These two vectors are always perpendicular to each other.The magnitude of the net force required to keep a particle in uniform circular motion depends on the mass of the particle and its velocity, as well as the radius of the circular path it is following. This force is referred to as the centripetal force and is always directed towards the center of the circle.The centripetal force is provided by some other object, such as a string or a gravitational field, which acts to pull the particle towards the center of the circle. Without this force, the particle would continue to move in a straight line tangent to the circle, rather than in a circular path.Therefore option A is correct.
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Johnny lets a 0.5kg ball roll on
the floor of the classroom. The ball gradually slows down. The coefficient
of friction between the floor and the ball is 0.18. Draw a free body diagram and calculate the acceleration
of the ball.
When Johnny lets a 0.5kg ball roll on the classroom floor, it gradually slows down due to friction. A free body diagram would include two main forces: gravitational force (Fg) acting downward and the normal force (Fn) acting upward.
Since the ball is on a horizontal surface, Fn and Fg cancel each other out. The other force acting on the ball is the frictional force (Ff), which opposes its motion. To calculate Ff, use the formula: Ff = μ * Fn, where μ is the coefficient of friction (0.18). As Fg and Fn are equal, Ff = μ * Fg = 0.18 * (0.5kg * 9.81m/s²) = 0.18 * 4.905 N = 0.8829 N. To find the acceleration of the ball (a), use Newton's second law: F = m * a. Rearrange the formula to find a: a = F / m. Since Ff is the only horizontal force acting on the ball, F = -Ff (the negative sign indicates that the force opposes motion). Therefore, a = -0.8829 N / 0.5 kg = -1.7658 m/s². In summary, the ball experiences an acceleration of -1.7658 m/s² due to friction, causing it to gradually slow down.
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The Nernst Equlibrium Potential:
A. represents the voltage that offsets the chemical energy set up by ATP-dependent pumps
B. is the threshold voltage that increases conductance for that ion
C. Is the potential energy (in mV) when an ion is in electrical equilibrium
D. for sodium is close to the resting membrane potential
The Nernst Equilibrium Potential is the potential energy (in mV) when an ion is in electrical equilibrium. The correct option is C.
What is the Nernst equilibrium potential?The Nernst equilibrium potential is a theoretical membrane potential at which the electrical gradient of an ion is precisely counterbalanced by the opposing chemical gradient. For the ion, this means that there is no net flux of the ion through the membrane, and it is at equilibrium.
As a result, this concept defines the voltage at which ion movement would be equal if there were no other forces opposing the movement. For a single ion, the Nernst equilibrium potential may be computed utilizing the following formula:
E ion = (RT/zF) * ln([ion]outside/[ion]inside)
where E ion represents the Nernst equilibrium potential for an ion, R is the gas constant, T is temperature (in Kelvin), z is the charge of the ion, F is Faraday's constant, and [ion]outside/[ion]inside represents the ion concentration ratio outside/inside the cell.
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When you are describing the rate that a race car goes around a track, should you use the term speed or velocity to describe the motion
Answer:
Speed
Explanation:
Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is the speed in a given direction.
Answer:
speed
Explanation:
Speed is a description of how fast an object moves; velocity is how fast and in what direction it moves. In physics, velocity is speed in a given direction. When we say a car travels at 60 km/h, we are specifying its speed. When we say a car moves at 60 km/h to the north, we are specifying its velocity.
What is the resultant of vectors shown
Answer:
adding to or more vectors together . When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity.
Explanation:
Need an actual answer, no links.
Answer:
8.70 s
Explanation:
Given (in the y direction):
v₀ = 2.38 m/s
v = 0 m/s
a = 0.310 sin (-62.0°) m/s²
Find: t
v = at + v₀
0 m/s = (0.310 sin (-62.0°) m/s²) t + (2.38 m/s)
t = 8.70 s
On what does the magnitude of an applied torque depend?
Answer:
See below
Explanation:
The force applied and the length of the arm
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
What is torque?
The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.
Torque is defined as Γ=r×F=rFsin(θ). In other words, torque is the cross product of the force vector, where 'θ' is the angle between r and F, and the distance vector (the distance between the pivot point and the place where force is applied).
The magnitude of an applied torque depend on force vector, 'θ' is the angle between r and F, and the distance vector.
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You have a resistor of resistance 230 Ω , an inductor of inductance 0.360 H, a capacitor of capacitance 5.60 μF and a voltage source that has a voltage amplitude of 29.0 V and an angular frequency of 300 rad/s. The resistor, inductor, capacitor, and voltage source are connected to form an L-R-C series circuit.
a) What is the impedance of the circuit?
b) What is the current amplitude?
c) What is the phase angle of the source voltage with respect to the current?
d) Does the source voltage lag or lead the current?
e) What is the voltage amplitude across the resistor?
f) What is the voltage amplitude across the inductor?
g) What is the voltage amplitudes across the capacitor?
The L-R-C series circuit has an impedance of 250.5 Ω, current amplitude of 0.116 A, and source voltage leads the current. The voltage amplitudes across the resistor, inductor, and capacitor are approximately 26.68 V, 12.528 V, and 1.102 V, respectively.
a) The impedance of the L-R-C series circuit can be calculated using the formula:
Z = √(R^2 + (Xl - Xc)^2)
where R is the resistance, Xl is the inductive reactance, and Xc is the capacitive reactance.
Given:
Resistance (R) = 230 Ω
Inductance (L) = 0.360 H
Capacitance (C) = 5.60 μF
Voltage amplitude (V) = 29.0 V
Angular frequency (ω) = 300 rad/s
To calculate the reactances:
Xl = ωL
Xc = 1 / (ωC)
Substituting the given values:
Xl = 300 * 0.360 = 108 Ω
Xc = 1 / (300 * 5.60 * 10^(-6)) ≈ 9.52 Ω
Now, substituting the values into the impedance formula:
Z = √(230^2 + (108 - 9.52)^2)
Z ≈ √(52900 + 9742)
Z ≈ √62642
Z ≈ 250.5 Ω
b) The current amplitude (I) can be calculated using Ohm's Law:
I = V / Z
I = 29.0 / 250.5
I ≈ 0.116 A
c) The phase angle (φ) of the source voltage with respect to the current can be determined using the formula:
φ = arctan((Xl - Xc) / R)
φ = arctan((108 - 9.52) / 230)
φ ≈ arctan(98.48 / 230)
φ ≈ arctan(0.428)
φ ≈ 23.5°
d) The source voltage leads the current because the phase angle is positive.
e) The voltage amplitude across the resistor is given by:
VR = I * R
VR ≈ 0.116 * 230
VR ≈ 26.68 V
f) The voltage amplitude across the inductor is given by:
VL = I * Xl
VL ≈ 0.116 * 108
VL ≈ 12.528 V
g) The voltage amplitude across the capacitor is given by:
VC = I * Xc
VC ≈ 0.116 * 9.52
VC ≈ 1.102 V
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The density of a block of wood is 2.7 g/cm³ and a mass of 583.3 g. What is its volume?
A lump of butter has a volume of 350 cm³ and a mass of 319 g. What is the density of the butter?
Answer:
1) To find the volume of the wood block, divide the mass by the density:
Volume = 583.3 g / 2.7 g/cm³
Volume = 216.24 cm³
2) To find the density of the butter, divide the mass by the volume:
Density = 319 g / 350 cm³
Density = 0.9114 g/cm³
Explanation:
what is the angular speed in rad/s of the second hand of a watch
The angular speed of the second hand of a watch is:
w = 0.105 rad/s
What is the angular speed of the second hand of the watch?
We know that the whole watch (a common circle) has a 2*pi rads on its circumference.
Now, there the second hand completes these 2*pi radians in one minute (60 seconds)
The angular speed is equal to the quotient between the angular motion (2pi radians) and the time in which that happens (60 seconds)
Remember that pi = 3.14
Then the angular speed is:
w = (2*3.14 rad)/(60 s) = 0.105 rad/s
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The frequency, or number of waves that pass a given point per second, of
sound is measured in:
A. hertz
B. meters
C. cycles
D. frequencies
Answer:
Hertz is the answer for this question
Which quantity is a vector?
displacement
distance
Which direction will thermal energy flow if you pick up a snowball with your bare hand? Thermal energy will flow from the snowball to your hand. Thermal energy will flow from your hand to the snowball. Thermal energy will not flow between your hand and the snowball.
Answer:
b. Thermal energy will flow from your hand to the snowball.
Explanation:
Answer:
B
Explanation:
If the loop the car is currently on has a radius of 18.0 m , find the minimum height h so that the car will not fall off the track at the top of the circular part of the loop.
The minimum height required for the car to not fall off the track at the top of the circular part of the loop is 1 meter.
To determine the minimum height required for the car to not fall off the track at the top of the circular part of the loop, we need to consider the forces acting on the car at that point.
At the top of the loop, the car is experiencing two forces: the gravitational force (mg) acting downward and the centripetal force (mv²/r) acting inward. For the car to remain on the track, the centripetal force must be greater than or equal to the gravitational force.
Let's calculate the minimum height using this information.
Given:
Radius of the loop (r) = 18.0 m
At the top of the loop, the net force acting on the car is the centripetal force minus the gravitational force:
mv²/r - mg ≥ 0
We can rearrange this equation to solve for the minimum height:
mv²/r ≥ mg
v² ≥ rg
v = √(rg)
where v is the speed of the car.
To avoid complicating the calculation with the car's speed, we can assume the car is just at the point of leaving the track at the top of the loop, so it is not accelerating (v = 0).
In this case, the centripetal force is zero, and the gravitational force is the only force acting on the car.
mg ≥ 0
Therefore, the minimum height required can be found by equating the gravitational potential energy (mgh) to the gravitational force (mg):
mgh = mg
Canceling out the mass (m) from both sides of the equation, we have:
gh = g
Simplifying further:
h = 1
Therefore, the minimum height required for the car to not fall off the track at the top of the circular part of the loop is 1 meter.
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Help help help help help
According to the Premable to Bill of Rights what is the purpose of the bill of rights guaranteed everyone's rights to stop people from depriving others of their rights
Answer:
to prevent the government from abusing people's rights
Explanation:
Bill of rights is made up of the first ten amendments to the United States Constitution.
The bill of right include Freedom of religion, speech, press, assembly and petition.
The Right to keep and bear arms in order to maintain a well regulated militia.
The Right to due process of law, freedom from self-incrimination, double jeopardy.
The purpose of this bill is to protect the rights of citizens against infringement from the government,public officials and private citizens.