Answer:
6.71 meters per second squared
Explanation:
Speed vs velocity
Average acceleration is defined as the rate of change of velocity per unit of time.
Velocity is a vector, a quantity that has both direction and magnitude (size). In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.
[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]
Analyzing units
The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.
The units all match, so we just need to substitute and calculate/simplify
Calculations
[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]
[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]
Accounting for significant figures, the acceleration is 6.71 meters per second squared.
A 66.0 kg diver is 3.10 m above the water, falling at speed of 6.10 m/s. Calculate her kinetic energy as she hits the water. (Neglect air friction)
Kinetic energy as she hits the water is 3300 joule.
To find the answer, we need to know about the Newton's equation of motion.
What's the Newton's equation of motion to determine the final velocity?The final velocity is determined asV²=U²+2aS
V= final velocity, U= initial velocity, a= acceleration and S= distanceWhat's the final velocity of the driver falling from 3.10m with initial velocity of 6.10m/s?Here, a= 9.8m/s², U= 6.10m/s and S= 3.10mSo, V²= 6.1²+2×9.8×3.10= 98 V= √98= 10m/sWhat's the kinetic energy of the driver when touches the water?Kinetic energy= 1/2×mass×velocity²
= 1/2 × 66 × 10²
= 3300J
Thus, we can conclude that the kinetic energy of the driver is 3300 Joule.
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For conservative forces, force can be found as being the negative of the derivative of.
Answer:
Force is the negative derivative of potential:
V = G M / R potential at distance R from mass M
F = dV / dR = - G M / R^2 force at distance R from mass M
.
What type of research method would best answer the question “How many rivers in Florida have nitrate pollution in them?”
A. relational study
B. cause and effect study
C. field study
Answer:
B causes and effects
Explanation:
because florida have nitrate pollution
The box is sitting on the floor of an elevator. The elevator is slowing down moving upward. The magnitude of the normal force on the box is:
Answer:
The magnitude of the normal force on the box is N= m*g + W
Explanation:
According to Newton's Second law and normal force.
The resultant of the forces acting on the person must be equal to the product between the mass and the acceleration a of the person itself.so with the help of Newton's second law
we can write the equation for force:
F = ma
Since,
box is sitting on floor of an elevator.
there are two forces acting on this box:
W due to it's weight (downward) N due to the normal force of the floor against the body (upward).So we can rewrite the previous equation as,
N - W = F
N - W = ma
hence,
N=m*a + W
this is the The magnitude of the normal force on the box.
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9. What could cause scientist to change their mind?
New technology allows for new understandings of old ideas
b. The findings are not popular with the public.
C.
The findings are not widely accepted as true.
d. No one has been able to prove they are right.
a person complete a 100m race in 11s. He accelerates for the first two second and then maintains the velocity till the end. what is the maximum velocity reached
The maximum velocity reached by the person is determined as 11.1 m/s.
Area under velocity - time graphThe area under the velocity time graph is the total displacement of the person.
Total Area = area of triangle formed during first 2 seconds + area of rectangle during the last 8 seconds
100 = ¹/₂(2v) + v(11 - 2)
where;
v is the maximum velocity100 = v + 8v
100 = 9v
v = 100/9
v = 11. 1 m/s
Thus, the maximum velocity reached by the person is determined as 11.1 m/s.
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Using the side lengths of △pqr and △stu, which angle has a sine ratio of four-fifths? ∠p ∠q ∠t ∠u
∠p has a sine ratio of four-fifths.
The answer is option A.
Trigonometric Ratios are defined because the values of all the trigonometric features are based totally on the fee of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with recognition of any of its acute angles are referred to as the trigonometric ratios of that particular perspective.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In geometry, trigonometry is a department of mathematics that offers the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with admire to aspects and angles.
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Answer: A
Explanation: Angle P
On a calm day with no wind, you can run a 1500-m race at a velocity of 4.0 m/s. If you run the same race on a day when you have a constant headwind that slows your speed by 2.0 m/s, how much time would it take you to finish the race
Answer:
The required time is 750 s.
Explanation:
The velocity of the man gets slowed by 2.0 m/s when the wind is blowing.
Therefore the speed of the man on the day of wind is (4.0-2.0)=2.0 m/s.
The time, speed and distance are related by the equation,
t=v/d
Given v= 2 m/s and d=1500 m.
The required time is,
t=1500/2
t=750 s
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The box survived the fall and is returned to the top of the building. More objects are put into the box, and the box with its contents now has a total mass of 93 kg. The box is dropped, and it reaches a higher terminal speed than before. After reaching terminal speed, what is the magnitude of the air resistance force acting upward on the falling box? (The fact that the heavier object reaches a higher terminal speed shows that the air resistance force increases with increasing speed.)
911.4N is the air resistance force acting upward on the falling box.
The constant or the highest speed that an object reaches when it falls through a liquid or gas is referred to as terminal velocity.
At terminal velocity,
The Upward force acting on an object(F) = Weight of the falling object(W).
Due to the fact that the two forces are acting in opposing directions, there is no net force acting on the item, and that's why the speed of the object becomes constant.
The Formula used to calculate the Upward force
F = mg...….. Equation(1)
where,
m = total mass of the box
g = acceleration due to gravity = 9.8 [tex]m/s^{2}[/tex]
F = Air resistance force acting upward on the box
Given:
The box with its contents now has total mass of 93Kg
m = 93 kg
g = 9.8 m/s²
Substitute the values into equation (1)
F = 93×(9.8)
F = 911.4 N
Hence, the magnitude of the air resistance force acting upward on the falling box is 911.4N
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why does the temperature remain constant at the boiling point of water when the internal energy is increasing?
The temperature remain constant at the boiling point of water when the internal energy is increasing because: all the heat energy provided is used up in changing the state of water from liquid to gaseous water vapour.
Meaning of Change in StateA Change in state can be defined as the process of moving from one matter form to another due to heat supplied or removed.
A change in state can happen in different forms of matter.
In conclusion, The temperature remain constant at the boiling point of water when the internal energy is increasing because: all the heat energy provided is used up in changing the state of water from liquid to gaseous water vapour.
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In terms of net charge, how does an electrically polarized object differ from an electrically charged object?.
Answer:
An electrically polarized object can carry no net charge
Example: charge Q at +x and charge -Q at -x for no net charge
An electrically charged object has a net charge on the object
A current of 2a flow through a bulb for 2.5 minutes determine the quantity of the charge that flows through the bulb
The quantity of the charge that flows through the bulb is 300 Coulombs.
What is charge flow:
The flow of charge is the process of supplying electric charge to an object or losing electric charge from an object.The flow of charge is also known as the Electric current.Formula of current:
I = Q / tCurrent is determined by the number of electrons passing through a cross-section in one second.
here,
current, I = 2 A
time, t = 2.5 minutes
t = 2.5* 60 = 150 seconds
substituting the values in formula,
I = Q / t
Q = I * t
Q = 2 * 150
Q = 300 coulombs
The quantity of the charge that flows through the bulb is 300 Coulombs.
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Based on what you have learned about the cultural influence on moral decisions, explain how your culture influences your moral choices. Consider what we learned in Unit 1 about the many layers of cultural identity. What cultural layers have played a part in constructing your sense of right and wrong?
Our culture greatly influences our moral decisions because the culture give us the way of living.
How your culture influences your moral choices?
Moral judgments and behaviors are dependent on the culture. We learn our behaviour and way of living from the culture that is present in our surrounding environment.
Sub-layer cultural is the layer that have played a part in constructing your sense of right and wrong because we grown up in this layer of culture.
So we can conclude that Our culture greatly influences our moral decisions because the culture give us the way of living.
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A girl exerted 150 Newtons to lift a barbell 2.0 m in 4.0 s. If she did the same thing in 8.0 s, the work done on the barbell by the girl would be
Consider two planets in space that gravitationally attract each other. If the masses of both planets are doubled, and the distance between them is also doubled, then the force between them is
The force between the planets will not change after doubling the masses of the planets and distance between them.
To find the answer, we need to know about the gravitational force of attraction.
What's the gravitational force attraction?According to Newton's gravitational law, the force between two objects is directly proportional to the product of their masses and inversely propertional to the square of the distance between them.Mathematically, Gravitational force= GMm/r². G is the gravitational constant.What is the gravitational force between two planets when their masses and distance between them are doubled?Then masses are 2M and 2m. Distance is 2r.So gravitational force= G×2M×2m/(2r)²= GMm/r²
Thus, we can conclude that the gravitational force will not change of the masses are doubled and the separation is also doubled between the planets.
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A motorcycle moving at 50 km/h skids 10 m with locked brakes. How far will it skid with locked brakes when traveling at 150 km/h
Answer:
It will cover a distance of 90.155 m.
Explanation:
For the first case, using the kinematic equation 3,
v^2-u^2=2as
Here v=0, u=50 km/h which is 13.88 m/s and x=10 m. so
0-(13.88)^2=2*a*10
a=9.63 m/s^2
For the second case, u=150 km/h which is 41.67 m/s.
If the acceleration is same for this case, then using the same kinematic equation.
0-(41.67)^2=2*9.63*s
s=90.155 m
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when an object rolls down a ramp with sliding. Does its motion translational motion or rotational motion ?
Explanation:
torque is just a force that acts off-center and causes an object to spin. Practically every quantity in translational motion has a rotational equivalent. Instead of linear acceleration, we have rotational (or angular) acceleration. Instead of forces, we have torques.
A wave traveling in a string has a wavelength of 35 cm, an amplitude of 8. 4 cm, and a period of 1. 2 s. What is the speed of this wave?.
0.29 m/s is the speed of this wave.
How to find the wave speed of a wave?Given: The wavelength of the wave traveling (∧) =35 cm
The time period of the wave (t) = 1.2 sec.
The frequency of the wave= 0.833 Hz
We need to find the wave speed of a wave.
Formula of wave Speed = Wavelength x Frequency= 35 x 0.833
= 29.167 cm/sec
= 0.29 m/sec
Therefore, the speed of the wave is 0.29 m/s.
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Can God make a rock that He can't carry?
Answer:
The answer to the question lies in the character of God. God is either finite or infinite. If God is finite and limited, then God could make a rock He could not lift. If God is unlimited in power, then He could create a rock of any size and weight and still be able to lift it.
Explanation:
Higher-pitched sounds have shorter wavelengths.
True or false
Answer:
The answer is True
Explanation:
I hope it helps
Answer:
it's true
Explanation:
High–pitched sounds have short wavelengths, which means that the peaks are close together. Low–pitched sounds have longer wavelengths, so the peaks are more spread out.
Gabrielle has just upgraded her oil-burning furnace. Her new furnace takes cool air from outside and passes it through the heat source using a fan or blower. What type of furnace has she upgraded to
Gabrielle has just upgraded her oil-burning furnace to a Forced air system.
What is furnace?A furnace is a place where combustion takes place. In a furnace, it is normal to burn a carbonaceous material and produce energy in the process.
The type of furnace that takes cool air from outside and passes it through the heat source using a fan or blower is a Forced air system. Hence, Gabrielle has just upgraded her oil-burning furnace to a Forced air system.
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Physicists make their work easier by summarizing data in tables and graphs and by abbreviating quantities
Answer:
visual are used as a way for our brains to Kriti understand information which is the powerful tool is used for glass can show a large amount of data quickly in a way that it is to process with a bunch of numbers
Explanation:
graph and charts communicate information visually they can show pattern self scientist simply corrections and guess the point of experiment across quickly depended variable is y axis
You jump off a truck and accelerate toward the surface of the Earth. Does the Earth accelerate toward you?
When we jump from the truck and accelerate towards the earth surface, the earth also accelerates towards us but it's acceleration is very negligible.
To find the answer, we need to know about the acceleration of earth due to the gravitational attraction.
What's the gravitational force between the earth and a person?Gravitational attraction force is GMm/r² between the earth and a person. M= mass of the earthm= mass of the person
r= separation between them.
What's the acceleration of the earth towards the person when he jumps from a truck?According to Newton's second law, Force = M×accelerationAcceleration= Force / MHere, Force = GMm/r²,so acceleration of earth= Gm/r²
As this acceleration is very small, so we can't notice it.Thus, we can conclude that the earth also accelerates towards us.
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A conducting shell has total extra charge . At some time, you place a charge at the center of the shell. How the charges distribute themselves
Answer:
There can be no net charge inside the conductor, and the charge must reside uniformly on the outside surface of the sphere.
what is conducting shell?
When there is charge present only on the surface, the sphere is called conducting shell.
Here, A conducting shell has total extra charge.
Gauss’s Law is defined as:
The flux through a closed surface is equal to the total charge enclosed within the closed surface divided by the permittivity of vacuum.The electric field of conducting sphere of uniform charge:
E = k*Q/r^2From the Gauss law we can say that,
There can be no net charge inside the conductor, and the charge must reside uniformly on the outside surface of the sphere.
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What was a surprise to astronomers when they carefully examined Neptune with the Hubble Space Telescope in 1994
A surprise to astronomers when they carefully examined Neptune with the Hubble Space Telescope in 1994 was that the Great Dark Spot had disappeared.
What is Neptune?Neptune refers to the the eighth planet from the distance to the Sun, which was carefully observed with the Hubble Telescope in 1994.
Neptune had a Great Dark Spot that had disappeared in 1994, which represented a spectacular and giant storm.
In conclusion, a surprise when scientists examined Neptune with Hubble telescope was that the Great Dark Spot had disappeared.
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A point charge with charge q1 = 2.40 μC
is held stationary at the origin. A second point charge with charge q2
= -4.90 μC moves from the point (0.170 m, 0) to the point (0.230 m , 0.270 m ).
How much work is done by the electrostatic force on the moving point charge?
Express your answer in joules.
The work done by the electrostatic force on the moving point charge is 1.014 J.
Displacement of the second charge
d = √[(0.23 - 0.17)² + (0.27 - 0)²] = 0.277 m
Force between the two chargesF = kq₁q₂/r²
where;
q₁ is magnitude of first chargeq₂ is magnitude of second charger is the distance between the two chargesk is Coulomb's constantF = (9 x 10⁹ x 2.4 x 10⁻⁶ x 4.9 x 10⁻⁶)/(0.17)²
F = 3.66 N
Work done in moving the point chargeW = Fd
W = 3.66 x 0.277
W = 1.014 J
Thus, the work done by the electrostatic force on the moving point charge is 1.014 J.
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If the hoist tower is not enclosed, the hoist platform or car must be totally enclosed on all sides for the full height between the floor and:
If the hoist tower isn't enclosed, the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering.
What is a hoist tower?A hoist tower can be defined as temporary elevator shaft made of scaffolding that is constructed and used to provide pathways for hoisting materials during a building-construction work.
According to the Occupational Safety and Health Administration (OSHA), the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering when the hoist tower isn't enclosed.
In conclusion, the hoist platform must be totally enclosed on all sides in order to prevent a potential injury to construction workers or an accident during a building-construction work.
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A bowling ball rolls down a lane and hits a bowling pin. Which statement below is true about the forces exerted during the impact?
Group of answer choices
a. The force that they exert on each other has the same magnitude.
b. The bowling pin exerts a larger force on the ball than the ball does on the pin.
c. One of the two forces is larger, but which is larger cannot be determined unless more information is provided.
d. The bowling ball exerts a larger force on the pin than the pin does on the ball.
The statement that is true about the forces exerted during the impact is that force that they exert on each other has the same magnitude (option A).
What is Newton's third law of motion?Newton's third law of motion states that to every action (force applied) there is an equal but opposite reaction (equal force applied in the opposite direction).
This law suggests that when a bowling ball rolls down a lane and hits a bowling pin. The bowling pin applies an equal force but in an opposite direction.
Therefore, the statement that is true about the forces exerted during the impact is that force that they exert on each other has the same magnitude.
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If the net force acting on a stationary object is zero, then the object will A. remain at rest. B. accelerate in the direction of the strongest force. C. decelerate at a steady rate of speed. D. begin moving backwards.
The object will remain at rest
Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Here net force is zero
An object with a net force of zero acting on it will remain at rest, if initially at rest, or it will maintain a constant velocity.
F=MA
Force F=0
Than Acceleration A=0
With zero Acceleration stationary object will remain at rest.
Hence Remain at rest is the correct answer
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The flywheel in the shape of a solid cylinder of mass 75.0 kg and diameter 1.40 m rotates about an axis passing through the center of mass. a. what constant torque is required to bring it up to an angular speed of 320 rev/min in 8.00 s, starting from rest?
The torque required for the cylinder is 76.99 N m.
What is torque?
Torque may be defined as the product of the force and the distance perpendicular to the force from the axis of rotation.
Calculation of the angular acceleration:
The first kinematic equation for the rotational motion is,
ω=ω₀+αt
where ω₀ is the initial angular velocity, ω is the final angular velocity, α is the angular acceleration and t is the time. Since the cylinder starts from the rest, its initial angular velocity is zero.
Here, ω=320 rev/min or ω=320*2π/60 rad/sec, ω₀=0 and t=8.00 sec. Put these values in the above equation and solve it to get the value of angular acceleration.
320*2π/60=0+α*8
α=320*2π/(8*60)
α=4.19 rad/s^2
Calculation of the torque:
The torque T is given by the formula,
T=Iα
where I is the moment of inertia.
For the cylinder, I=1/2*mr^2
where m is the mass of the cylinder and r is the radius of the cylinder.
So,
T=1/2*mr^2*α
Here m=75 kg, radius r is half of the diameter r=1.4/2=0.7 m, and α=4.19 rad/s^2. Using these values in the formula of torque.
T=1/2*(75)*(0.7)^2*4.19
T= 76.99 N m
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