The correct answer is 17.12 meters.
S = VoT - (1/2)g[tex]T^2[/tex]
where
S = distance travelled by the body
Vo = initial velocity
T = travel time
g = acceleration due to gravity = 9.8 m/sec^2 (constant)
For the ball,
Sb = 20T - (1/2)(9.8)( )
and for the stone,
Ss = 24(T - 2) + (1/2)(9.8)(T - 2[tex])^2[/tex]
and for them to pass each other from the release point,
Sb = Ss
and therefore
20T - (1/2)(9.8)[tex]T^2[/tex] = 24(T - 2) - (1/2)(9.8)(T - 2[tex])^2[/tex]
20T - 4.9[tex]T^2[/tex] = 24T - 48 - 4.9([tex]T^2[/tex] - 4T + 4)
20T - 4.9[tex]T^2[/tex] = 24T - 48 - 4.9[tex]T^2[/tex] + 19.6T - 19.6
Combining like terms,
24T + 19.6T - 20T = 48 +19.6
23.6T = 67.6
T = 2.86 sec.
In other words, the stone will pass the ball 2.86 seconds after the ball has been tossed (or 0.86 sec after the stone has been tossed).
Solving for Sb,
Sb = 20(2.86) - (1/2)(9.8)([tex]2.86^2[/tex])
Sb = 17.12 meters -the ball will be passed by the stone at this elevation above the release point. This is the first option in your given choices.
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In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue).
The top of a pool table is a height ℎ=2.75 ft from the floor. If a player's ball lands a distance =16.50 ft from the table edge, what is her break shot speed 0?
The break shot speed of the player is determined as 96.5 ft/s.
Time of motion of the playeruse the following kinematic equation to determine the time of motion of the player.
h = vt + ¹/₂gt²
h = 0 + ¹/₂gt²
h = ¹/₂gt²
t = √(2h/g)
t = √(2 x 2.75/32.17)
t = 0.171 s
break shot speedvx = x/t
vx = 16.5 ft / 0.171 s
vx = 96.5 ft/s
Thus, the break shot speed of the player is determined as 96.5 ft/s.
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A person weighs 1,913 N on earth. They are taken to a planet where the gravity is 0.6 times the gravity of earth. What is their new weight?
Answer: gravity of earth = 9.8 n/s , new weight of the body on other planet = mg = 1.913 ×6×9.8=112..5
Explanation:
Consider a 2D plate with surface area A = 100 cm2
that we charge with a certain
charge Q. How large does Q need to be for the field of the plate to levitate a load of m = 100 kg
that has charge q = 25 µC?
The value of charge in the plate to levitate a load of mass of 100 kg will be 1.33 x 10^-5 C.
The electric field(E) produced by a 2D plate is given by the following formula:
E = σ/2ε
Here σ is the surface charge density = Charge/Area = Q/A
To levitate a plate, the force exerted by this field should be equal to the weight of the load.
Thus,
Electric force due to plate = Weight of the load
qE = mg
Putting the given values in the above equation
Q x Q/2Aε = mg
Q^2 = mg(2ε)(A)
On solving
Q = 1.33 x 10^-5 Coulombs.
Thus, The value of charge in the plate to levitate a load of mass of 100 kg will be 1.33 x 10^-5 C.
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. Which pair of concurrent forces could produce
a resultant force having a magnitude of 15.
Newtons?
1) 10. N. 10. N
3) 4.7 N. 4.7 N
2) 10. N. 30. N
4) 4.7 N. 5.0 N
Answer:
Only 1)
3) and 4) can't be added to produce 15
2) 10 and 30 cannot produce a force of less than 20
If you were a member of Congress, what legislation would you introduce if acid rain from a coal
There are many reasons. The easiest solution is because the rain that we remember acidic has a low pH; it has a better amount of hydrogen ions.
Acid rain manipulation implies three adjustments a notably extra complicated and cumbersome regulatory program beneath the Clean Air Act, new emission manipulation prices for initial rollback requirements and next offsets, and on account of these, new impediments to utility and commercial plant creation, expansion, and modernization.
The Acid Rain application (ARP) has brought widespread discounts in sulfur dioxide (SO2) and nitrogen oxide (NOX) emissions from fossil fuel-fired strength flora, full-size environmental and human fitness blessings, and a ways lower-than-anticipated prices.
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An object is moving forward along a straight path. Find the object’s position relative to it’s starting point if it moves 12.8 cm/s for 0.5 min.
The distance traveled by the object from its initial position is 384 cm.
Distance is the sum of an object's movements, regardless of direction. Without respect to the object's starting or finishing positions, distance can be defined as the amount of space it has traveled.
An object is moving in a straight path.
The speed of the object from its initial position is 12.8 cm/s.
The object is moving for 05 minutes.
Then, t = 0.5 min = 0.5 × 60 = 30 seconds.
Now, the speed of an object is the distance of the object per unit time.
Therefore,
s = d / t
d = s × t
d = ( 12.8 cm/s ) × ( 30 s )
d = 384 cm
Hence, the object's position from its initial position is 384 cm.
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Many traffic lights charge when a car roll up intersection. How does the light sense the presence of car? Describe briefly.
Answer:
There are a few ways that traffic lights can sense the presence of a car. One way is by using inductive loops that are installed on the road. These loops detect changes in the magnetic field caused by a car passing over them. Another way is by using infrared sensors that detect the heat signature of a car.
Explanation:
Hope this helps!
What equation is used to determine the total resistance in a series circuit?
R = R1 + R2 + R3
This is the formula for resistance in a series circuit.
Reacting quickly to avoid being struck, the diner moves 2.00 m horizontally directly toward the waiter opening the champagne bottle. Determine the horizontal distance, d in meters, between the waiter and the diner at the time the cork reaches where the diner had previously been sitting.
The horizontal distance d in meters between the waiter and the diner at the time the cork reaches where the diner had previously been sitting is 9.7 m
What is distance?The term distance refers to the quantity of length between two points. it is usually measured in meters but has other units.
Given data
u = 15.6
∅ = 78.5 deg
g = 9.81
solving for time tt = 2 * u * sin ∅ / g
t = 2 * 15.6 * sin 78.5 / 9.81
t = 30.57 / 9.81
t = 3.12 s
Solving for horizontal distance, d in metersd = u * co ∅ * t
d = 15.6 * cos 78.5 * 3.12
d = 9.7 m
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complete question
The cork from a champagne bottle slips through the hands of a waiter opening it, moving with an initial velocity v0 = 15.6 m/s at an angle θ = 78.5° above horizontal. A diner is sitting a horizontal distance d away when this happens. Assume the cork leaves the waiter’s hands at the same vertical level as the diner and that the cork falls back to this vertical level when it reaches the diner. Use a Cartesian coordinate system with the origin at the cork's initial position.
Calculate the time, td in seconds, for the cork to reach the diner.
Reacting quickly to avoid being struck, the diner moves 2.00 m horizontally directly toward the waiter opening the champagne bottle. Determine the horizontal distance, d in meters, between the waiter and the diner at the time the cork reaches where the diner had previously been sitting.
1. Brittney Vargas undergoes 2 displacements while playing field hockey. First, she goes
26.5 m, West. She then turns and goes 18.7 m, South. What is Brittney's resultant
displacement? (Magnitude and direction!!!)
The resultant displacement is 32.4 m due west of south.
What is the displacement?The term displacement has to do with the change in the position of a body in a particular direction. Displacement is a vector quantity. We have to find the resultant displacement algebraically;
Hence;
Resultant displacement = √((26.5)^2 + 18.7)^2
Resultant displacement = 32.4 m due west of south
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jasmine broke the antenna k. her radio receiver how will this most likely affect jasmine radio?
Answer:An antenna is an array of conductors, that is connected to the receiver or transmitter.
It transmits and receives radio waves in the horizontal directions or in a particular direction.
It may include a parasitic elements, and reflectors that can serve to direct the radio waves into a beam like pattern or some other patter.
Explanation:
It will not capture modulated radio waves.
A bike accelerates from 0 m/s to 15 m/s over the span of 5 seconds. How fast is the bike
traveling after 2.5 seconds?
The bike is travelling at 22.5 m/s after 2.5 s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the acceleration Initial velocity (u) = 0 m/sFinal velocity (v) = 15 m/sTime (t) = 5 sAcceleration (a) =?a = (v – u) / t
a = (15 – 0) / 5
a = 3 m/s²
How to determine the final velocity in the first 2.5 s Initial velocity (u) = 15 m/sAcceleration (a) = 3 m/s²Time (t) = 2.5 s Final velocity (v) = ?a = (v – u) / t
3 = (v – 15) / 2.5
Cross multiply
v – 15 = 3 × 2.5
v – 15 = 7.5
Collect like terms
v = 7.5 + 15
v = 22.5 m/s
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the magnitude of B-3A
Answer:
the magnitude of b 3A
Explanation:
2b 1 a
A skateboarder initially traveling at 1.8 m/s accelerates at a rate of 1.5 m/s² for 2.5 s. How far does the skateboarder go in this time?
The skateboarder will travel a distance of 9.19 m
We know that,
a = ( v - u ) / t
Δv = ( v + u ) / 2 ( If acceleration is constant )
Δv = d / t
where,
a = Acceleration
v= Final velocity
u = Initial velocity
t = Time taken
d = Displacement
Δv = Average velocity
Given that,
u = 1.8 m / s
a = 1.5 m / s²
t = 2.5 s
a = ( v - u ) / t
1.5 = ( v - 1.8 ) / 2.5
v = 3.75 + 1.8
v = 5.55 m / s
Δv = ( 5.55 + 1.8 ) / 2
Δv = 3.675 m / s
d = Δv * t = 3.675 * 2.5
d = 9.19 m
If the initial and final velocity is known, average velocity can be calculated by taking the average value of initial and final velocity, if the acceleration is constant.
Therefore, the skateboarder will travel a distance of 9.19 m
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How many acres are in 1 square mile? One acre is equal to 43,560 ft2.
Answer:
There are 640 acres in 1 square mile I think
3. Describe what black holes are?
Answer: a place in space where gravity pulls so much that even light can not get out.
Answer:
black holes are holes that can suck this world with its high gravity
Number of Humans
(Billions)
The World's Population Growth
7.0-
6.0
5.0-
4.0
3.0
2.0-
1.0-
0
1000
1200
+
1400
1600
1800
2000
Answer: The world population increased from 1 billion in 1800 to around 8 billion today. The world population growth rate declined from around 2% per year 50
Explanation:
Two point charges Q₁ = +6.00 nC and Q₂ = -2.00 nC are separated by 45.0 cm.
(a) What is the electric potential at a point midway between the charges?
V
(b) What is the potential energy of the pair of charges?
J
What is the significance of the algebraic sign of your answer?
Positive work must be done to separate the charges.
Negative work must be done to separate the charges.
Answer:
(a) The electric potential at a point midway between the charges is 160 V.
(b) The potential energy of the pair of charges is -2.4x10⁻⁷ J.
What is electrical potential energy?
The effort necessary to assemble a system of point charges by bringing them close together, as in the system from an infinite distance, is defined as the electric potential energy of the system. Alternatively, the electric potential energy of any given charge or system of charges is defined as the total work performed by an external agent in moving the charge or system of charges from infinity to the current configuration without acceleration.
Explanation:
The electric potential at a point between two point charges Q₁ = +6.00nC and Q₂ = -2.00 nC separated by 45.0 cm is found to be 160 V and the potential energy of the pair of charges is -2.4 x 10⁻⁷ J.
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Mudflows composed of soil, volcanic debris, and water can occur as the result of an explosive volcanic eruption. What are these mudflows called?
These mudflows are called Lahar.
A quickly moving mixture of rock debris and water that begins on a volcano's slopes is referred to as a lahar in Indonesian. Other names for lahars are volcanic mudflows and debris floods. The size, pace, and volume of material transported by a moving lahar can constantly alter as it rushes downstream. It resembles a swirling slurry of wet concrete.
The melting of snow and ice as well as the ingestion of river or lake water by the moving slurry may both add to its water consumption. A lahar's starting flow may be quite tiny, but as it entrains and integrates everything in its path, including rocks, dirt, vegetation, even structures like houses and bridges, it may increase in volume.
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Study Island!!!!!
The average annual snowfall values for four different cities are shown in the table below.
which of the following conclusions could be made from this data?
A. It snows more in Green Bay than in Buffalo on average.
B. It snows less in Green Bay than in Kalamazoo on average.
C. It snows more in Kalamazoo than in Buffalo on average.
D. It snows less in Buffalo than in Bristol on average.
Based on the data attached, the option of the conclusion that could be made from this data is option B. It snows less in Green Bay than in Kalamazoo on average.
.
What snow implies?The term snows is known to be a kind of a small white crystals of ice that is known to be formed as a result of direct water vapor of the air.
It is known to be a measure or a mass of snowflakes that is said to have fallen to earth.
Therefore, from the data, one can see that the snow fell a lot in Buffalo and from it one can also see that Kalamazoo has almost times 2 of the snow in Green Bay.
Therefore, Based on the data attached, the option of the conclusion that could be made from this data is option B. It snows less in Green Bay than in Kalamazoo on average.
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A river is moving east at vWE = 2.29 m/s. A boat starts from the dock heading θ = 39.3 degrees north of west at vBW = 7.18 m/s, relative to the water. The river is w = 1130 m wide.
What is the speed of the boat, in m/s, with respect to Earth?
Answer:
The speed of the boat, in m/s, with respect to Earth, is vBE = 7.52 m/s.
Explanation:
vBE = vBW + vWE
vBE = 7.18 m/s + 2.29 m/s
vBE = 7.52 m/s
At Boston's Fenway Park, it is 310 feet (94.5 m) from homeplate to the left field wall The Green Monster which is 30 feet (9.2 m) high. If a batter hits a baseball at an initial height of 0.9 m, given the following velocities, does it clear the wall, hit the wall, or fall short?
If the velocity of x direction is 25 m/s
If the velocity of y direction is 20.5 m/s
Find the maximum height
Baseball will hit the wall due to less height from the The Green Monster wall.
from the data, we have in
velocity of x direction is 25 m/s
velocity of y direction is 20.5 m/s
now, the horizontally:
velocity=distance/time
time=distance/velocity
time=94.5/25
t=3.76sec
now for vertically: we will apply kinematics equation
s=ut+[tex]\frac{at^2}{2}[/tex]
now putting the values,
s=77.08-69.27
s=7.80m
now,
the initial height from baseball hit=0.9m
now, total height=0.9+7.80
s=8.7
8.7 m is less than wall height
so it will hit the wall
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A person walking through snow sinks into it. The person makes a change so that they do not sink as far next time they go out. What do they do?
A Crouch as they walk to lower their centre of mass.
B Run as fast as they can to increase the power they dissipate.
C Wear shoes with a much larger area on the bottom to increase the area of their feet in contact with the snow.
D Wear a heavy backpack to increase their weight and so make them more stable.
In order to not to sink in snow they Wear shoes with a much larger area on the bottom to increase the surface area of their feet in contact with the snow
The size of the snow shoes prevents them from sinking into the snow. They have a big surface. since the relationship between surface area and pressure is inverse. Therefore, when the surface area is big, less pressure will be placed on the ground by the shoes.
In comparison to the bottoms of shoes alone, the snowshoes have a larger contact surface with the snow. Because they cover a larger surface area than would be the case if he were wearing only shoes, they lessen the pressure that the person's weight puts on the snow. will not become as firmly embedded in the snow as a result
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If we try to walk on snow, our feet will sink in the snow because our feet has less surface area.
We know that lesser the surface area the more is the pressure on the surface. If we put on skies, we can move over the snow easily because skies have larger surface area and hence decrease the pressure on the snow.
Hence decrease the pressure on the snow while we walk on snow.
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6. A swimming pool has the dimensions (1.w.h)
28.5 mx 10.0 mx 2.30 m. When it is full of water,
what is the force on the bottom?
The force exerted at the bottom of the swimming pool is 6.42 × 10⁶ N.m².
The length of the swimming pool is l = 28.5 m.
The breadth of the swimming pool is b = 10 m.
Then the area of the swimming pool is:
A = l × b
A = 28.5 m × 10 m
A = 285 m²
The depth of the pool is h = 2.30 m
The pressure exerted at the bottom of the pool is equal to the density of water.
P = ρ × g × h
P = 1000 kg/m³ × 9.8 m/s² × 2.30 m
P = 22540 N
Therefore, the force exerted by the water at the bottom of the swimming pool is:
F = P × A
F = 22540 × 285
F = 6.42 × 10⁶ N.m²
Hence, the force exerted on the bottom is 6.42 × 10⁶ N.m².
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What can you conclude about mass and speed as they relate to kinetic energy?
Answer: The kinetic energy of a moving object is directly proportional to its mass and directly proportional to the square of its velocity. This means that an object with twice the mass and equal speed will have twice the kinetic energy while an object with equal mass and twice the speed will have quadruple the kinetic energy.
Explanation:
Answer: Mass and speed are both contributors to the amount of kinetic energy in a moving object.
Explanation: Edmentum answer
If one oscillation has 3.0 times the energy of a second one of equal frequency and mass, what is the ratio of their amplitudes?
The ratio of their amplitudes is 3.
The relation between energy and amplitude is as follows:
[tex]E_{1} = \frac{1}{2} KA_{1} ^{2}[/tex]
[tex]E_{2} =\frac{1}{2} KA_{2} ^{2}[/tex]
As, we know , one oscillation has 3.0 times the energy of a second one of equal frequency and mass i.e.,
[tex]E_{1} = 3E_{2}[/tex]
So, [tex]\frac{1}{2} KA_{1} ^{2} = 3(\frac{1}{2}KA_{2} ^{2} )[/tex]
[tex]A_{1} ^{2} = 3A_{2} ^{2}[/tex]
[tex]\frac{A_{1}^{2} }{A_{2}^{2} } = 3[/tex]
Therefore, the ratio of their amplitudes is 3.
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A circuit is wired with a power supply, a resistor and an ammeter (for measuring current). The ammeter reads a current of 24 mA (milliAmps). Determine the new current if the voltage of the power supply was ...increased by a factor of 3 and the resistance was held constant
If the voltage of the power supply is increased by a factor of 3 and the resistance was held constant, the new current will be 0.008 A or 8 mA
What is Power ?Power is the rate at which work is done. Electrical power is measured in Watt.
Given that a circuit is wired with a power supply, a resistor and an ammeter (for measuring current). The ammeter reads a current of 24 mA Determine the new current if the voltage of the power supply was increased by a factor of 3 and the resistance was held constant
Let the
initial voltage = VNew voltage = 3VResistance = RInitial current = 24 mANew current = ?From the power formula, power will always be constant. That is, initial power will be the same with new power
Since P = IV
24/1000 V = I × 3V
0.024V = 3IV
V cancels out
3I = 0.024
I = 0.024/3
I = 0.008 A
Therefore, the new current will be 0.008 A.
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Aliens are bombarding the Earth with asteroids from an orbit of 100km. If they launch the
asteroid with a speed of 100.0m/s, how long do the earthlings have to evacuate their city?
Distance is the overall motion of an object with no regard to its path. we can define distance as how much floor an item has included no matter it's beginning or ending point.
Given,
Distance = 100km
=100000
Speed =100m/sec
Distance=speed × time
Time= [tex]\frac{distance}{speed}[/tex]
Time =100000/100
time =1000 sec
Distance is a numerical or on occasion qualitative size of how far apart items or factors are. In physics or regular usage, the space might also check with a physical length or an estimation primarily based on other standards.
Displacement is described because of the alternate the function of an item. it's miles a vector amount and has a course and value. it's miles represented as an arrow that points from the beginning role to the very last function. as an example- If an item moves from A role to B, then the item's function modifications.
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Didn't mean the first rating. It wouldn't allow me to change it. D is correct. Thank you :)
Answer:
ok
Explanation:
je cuene8snw72me8rntirn3ue 2 eje eue due rbd
A fishing boat leaves a marina with a constant speed of 3.4 m/s. A speedboat leaves the marina 12 s later with an initial speed of 2.8 m/s and an acceleration of 1.7 m/s2. Let the time the speedboat leaves the marina be t = 0 and let the direction of travel of both boats be the positive x direction.
Write position-time equations for fishing boat.
Express your answer in terms of t .
When does the speedboat catch up with the fishing boat?
(a) The position-time equations for fishing boat is x = 3.4t + 40.8
(b) The time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
Position-time equations for fishing boat
The position-time equations for fishing boat will be obtained by applying the principle of relative velocity as follows;
Let the time when the speedboat catches up = t
let the total time spent by fishing boat = t + 12
Distance traveled by the fishingx = 3.4(t + 12)
x = 3.4t + 40.8
Distance between between the fishing boat and speed boatfishing boat is moving at a constant speed = 3.4 m/s
speed boat started moving 12 seconds later,
distance between the boats = 3.4 m/s x 12 s = 40.8 m
final velocity of the speedboatv = u + at
v = 2.8 + 1.7t
set up the following equation to determine the time when the two boats meet.
vt - x = 40.8
t(2.8 + 1.7t) - (3.4t + 40.8) = 40.8
2.8t + 1.7t² - 3.4t - 40.8 = 40.8
1.7t² - 0.6t - 81.6 = 0
solve the quadratic equation using formula method as shown below;
a = 1.7, b = -0.6, c = -81.6
t = 7.1 seconds
Thus, the time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.
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