1. The magnitude of the bicyclist's acceleration is 4.09 m/s²
2. The distance travelled by the bicyclist during the time is 39.6 m
1. How to determine the acceleration
We can obtain the acceleration of the bicyclist as illustrated below:
Initial velocity (u) = 0 m/sFinal velocity (v) = 18 m/sTime (t) = 4.40 sAcceleration (a) =?a = (v – u) / t
a = (18 – 0) / 4.40
a = 18 / 4.40
a = 4.09 m/s²
Thus, the acceleration of the bicyclist is 4.09 m/s²
2. How to determine the distance travelled
The distance travelled by the bicyclist can be obtained as follow:
Initial velocity (u) = 367 m/sFinal velocity (v) = 0 m/s (at maximum height)Acceleration(a) = 4.09 m/s²Distance (s) =?v² = u² + 2as
18² = 0² + (2 × 4.09 × s)
324 = 0 + 8.18s
324 = 8.18s
Divide both side by 8.18
s = 324 / 8.18
s = 39.6 m
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a 689 n person lies down on a 2-m, 30-n board. their feet are exactly at the fulcrum. they are 1.75 m tall. the scale reads 330 n. where is their center of mass relative to their feet
A 2-m, 30-n board with a 689 n human lying down on it. The fulcrum is exactly where their feet are. They stand around 1.75 meters. Scale reading is 330 n. less than one meter separates their center of mass from their feet (0.91 m).
What is fulcrum?The pivotal point of the beam is known as the fulcrum. A load is applied at the other end of a lever when an effort is exerted to one end of the lever. A mass will be raised as a result. Torque is essential to the operation of levers.
The point on which the lever rotates or balances is known as the "fulcrum." Your hand's fingers serve as the fulcrum when using a fork. In reality, scissors are only two levers together. Commonly known as a fixed lever, the handle on the toilet flusher.
The phrase can be used to describe a lever's pivot point or support as well as the focal point of a significant event or circumstance (like an important person or key decision-maker in a company).
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a large air-filled 0.211-kg plastic ball is thrown up into the air with an initial speed of 10.9 m/s. at a height of 3.49 m, the ball's speed is 3.03 m/s. what fraction of its original energy has been lost to air friction?
Initial energy equals (M/2)*Vo2 = 12.80 J.
At 4.7 m and V = 5 m/s, total energy equals (M/2)
*5^2 + M*g*4.7 = 1.25 + 4.61 J
a portion of the energy in a ball LOST = (12.80-5.86)/12.80 \s= 0.542
We are informed that a plastic ball with a mass of 0.1 kg is tossed into the air as an example of energy conservation. It starts off at a height of three meters and a speed of 10 meters per second. Now moving at three meters per second. We are interested in learning how much of its initial energy has been lost through friction. We now know that the total mechanical energy is constant for an isolated system. Thus, the change in gravitational potential energy descends to you along with the change in kinetic energy data K. additionally the data on N. G. Lost to air friction Zero is equal to E. F. Keep in mind that the gravitational potential energy you I is zero at the beginning.
It follows that either their energy changes or that the energy lost to friction belt E. F. is equal to minus daughter. Kay, without a doubt, which is without uh-huh. Mm. V squared divided by the starting speed is the final speed. M. G. H. plus V not squared Additionally, the ball's initial energy is entirely kinetic. Since this is a half-squared north, the lost energy delta E. F. is the proportion of the original energy that is reflected and lost.
This therefore equals half of M. Squared into the not minus V squared into the not minus to G. H. multiplied by half. squared M Vinod Thus, this fraction becomes the square of the starting speed. We not squared minus the final speed squared square V squared minus twice the acceleration brought on by gravity, G times the height of the ball. H centered over Vinod. Therefore, if we enter our numbers here, this becomes 10 m/s squared times three m/s squared times two, or 9.81 m/km2 times. three meters tall times 10 meters per second squared.
As a result, 32 321 the amount of energy that is lost when there is an uncertainty about e f over e I This is the percentage that is lost due to air friction, or 32.1 percent.
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what mass of limestone (in kg ) would be required to completely neutralize a 15.2 billion-liter lake that is 1.9×10−5 m in h2so4 and 8.6×10−6 m in hno3 ?
The mass of limestone (in kg ) required to neutralize the lake is 3542 kg.
First we have to balance the chemical equations:
[tex]H_{2}[/tex] [tex]SO_{4}[/tex]
[tex]CaCO_{3}[/tex] + [tex]H_{2}[/tex] [tex]SO_{4}[/tex] → CaS[tex]O_{4}[/tex] + [tex]H_{2}[/tex]O + C[tex]O_{2}[/tex]
HN[tex]O_{3}[/tex]:
CaC[tex]O_{3}[/tex] + 2HN[tex]O_{3}[/tex] → Ca(N[tex]O_{3})2[/tex] + [tex]H_{2}[/tex]O + C[tex]O_{2}[/tex]
It tells us that 1 limestone is needed for 2 moles of Nitric Acid.
Now, calculate number of moles by getting the product of volume and molarity.
moles [tex]H_{2}[/tex] [tex]SO_{4}[/tex]= 1.9 × [tex]10^{15}[/tex] M * (15.2 x [tex]10^{9}[/tex] L)
moles [tex]H_{2}[/tex] [tex]SO_{4}[/tex] = 288800 mol
moles HN[tex]O_{3}[/tex] = 8.6 × [tex]10^{-6}[/tex] M * (15.2 x [tex]10^{9}[/tex] L)
moles HN[tex]O_{3}[/tex] = 130720 mol
Total moles of limestone:
Moles of limestone = 288800 + 130720
Moles of limestone = 354160 mol
Multiply mol of limestone with its molar mass.
mass of limestone = 354160× 100.086
mass of limestone = 3542 kg
Thus, The mass of limestone (in kg ) required to neutralize the lake is 3542 kg.
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on land, coal is transported primarily by train. a typical large coal train maybe about a mile long and may consist of 120 cars, each holding 110 tons of coal. as each ton of coal has an equivalent energy content (in terms of the stored chemical energy it contains), a moving coal train represents a flow of (chemical) energy or power. for a coal train traveling at 60 mph, calculate the equivalent power in watts. one ton of coal has an energy content of 2.8×10^10 j. use the letter e for exponent; for example, 3x10^8 should be written as 3e18.
The equivalent power of coal transported in a mile long train containing 120 cars, each holding 110 tons of coal travelling at 60 mph is 6.04 * 10e12 J
P = E / t
P = Power
E = Energy
t = Time
Distance of train = 1 mile
Number of cars in the train = 120
Tons of coal in 1 car = 110 tons
Velocity of train = 60 mph
Energy of one ton coal = 2.8×10e10 J
Total coal = 120 * 110
Total coal = 13200 tons
Total energy of coal = 13200 * 2.8×10e10
Total energy of coal = 369.6 * 10e12 J
v = d / t
v = Velocity
d = Distance
t = Time
t = d / v
t = 1 / 60
t = 0.017 h
t = 61.2 s
P = ( 369.6 * 10e12 ) / 61.2
P = 6.04 * 10e12 J
P = 6.04 pJ
Therefore, the equivalent power of coal is 6.04 * 10e12 J
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A bird is flying 77.0 meters above the ground, holding a stick with its feet. If the bird were to drop the stick, how long would it take for the stick to reach the ground below?
A: 1.96s
B: 2.45s
C: 3.96s
D: 3.84s
The time taken for the stick that the bird dropped to reach the ground is 3.96 seconds.
What will be the time taken for the stick that the bird dropped to reach the ground?The time taken for the stick that the bird dropped to reach the ground is determined the using formula below:
h = ut + ¹/₂ * g * t²
where the given parameters are given below:
h = 77.0 meters
u = 0
t = ?
g = 9.81 m/s²
Solving for the time required:
77.0 = 0 * t + ¹/₂ * 9.81 * t²
t² = 77.0 * 2 / 9.81
t² = √15.7
t = 3.96 seconds
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pdf a ball thrown vertically upward continues upward until it reaches a certain position, and then falls downward. the ball's velocity is instantaneously zero at that highest point. is the ball accelerating at that point. describe an experiment to prove or disprove your answer.
When the ball is thrown upward, gravity takes control as soon as it is removed from the hand. The ball will only be under its control.
The ball is moving downward at a rate of 9.8 meters per second squared as it approaches the dot-com point. Using a second camera and the gadget, you can perform an experiment where you can observe that the velocity is 0.0 at the top, but varies somewhat before and after it moves.
The ball is accelerating, as can be shown if you take the difference in velocities and calculate acceleration of the ball.
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Determine how many helium-filled balloons will be needed to lift a person whose mass is 70 kg. the air density is pair = 1.20 kg/m3 , the helium density is phe = 0.17 kg/m3, and the balloon's volume is vm = 30 liters.
2265 helium-filled balloons will be needed to lift a person whose mass is 70 kg.
Bouyancy, also known as upthrust, is an upward force applied by a fluid against the weight of an object that is partially or completely submerged. According to Achimede's principle, a force acts in opposition to an object's weight; if the force is higher than the object's weight, the object will float, but if the force is less than the object's weight, the object will sink. As a result, the helium balloon's weight must be more than the man's weight in order to lift him.
Vm = 30L
Mass = 70kg
Air density = 1.20kg/m^3
Helium density = 0.17kg/m^3
Overall density = Air density - Helium density
= 1.20 - 0.17
= 1.03kg/m^3
Convert the overall density to kg/liter
1.03/1000
0.00103kg/liter
Force on balloon
F = Overall density × vm
= 0.00103 × 30
= 0.0309kgf
Number of ballons is
70kgf/ 0.0309kgf
= 2265.37 ballons
=2265 ballons
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In the United States, most people measure temperature in ______.
Celsius
Kelvin
Fahrenheit
Answer: Fahrenheit
Explanation:
A ball is projected horizontally from the top of a vertical cliff 40m high with a velocity of 20m/s. Calculate the vertical component of the velocity on getting to the ground
A ball when is projected horizontally from the top of a vertical cliff 40m high with a velocity of 20m/s, the vertical component of the velocity on getting to the ground is 28.3 m/s.
What is motion under gravitational field?When any object moves, it can be said to be in motion under gravity because gravity has an impact on the object’s vertical motion. Gravity is also called as the force that pulls things downward. In actuality, gravity pulls objects toward the Earth’s center.
What is the motion under gravity equation?The particle’s initial velocity is 0 during free fall. Consequently, this v=gt is the equation of motion.
An object launched into the air may also experience a shift in upward velocity due to gravity, which causes it to slow down and return to Earth’s surface. The Moon is kept in orbit by the force of Earth’s gravity, which also causes the Moon to rotate constantly.
Initial horizontal velocity = 20[tex]ms^{-1}[/tex]
Initial vertical velocity = 0
Vy= Uy + gt
Vy= gt {Uy= 0}
Vy= 10 × 2.83= 28.3m/s
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The two concepts or issues that you chose and explain how each either has contributed to or detracted from social change, specifically in the form of racial and ethnic equality.
Racial equality directed to a scenario in which individuals of all races and ethnicities exists treated equally, regardless of any differences in physical characteristics.
What is meant by racial equality?Racial equality occurs when organizations, like schools, give people of all races equal chances regardless of their physical characteristics, such skin color. It has always been difficult for ethnic minorities to achieve equality, especially in educational institutions.
According to research, black pupils face fewer expectations from their teachers and are more likely to be suspended or expelled than white students. They are also less likely to be enrolled in gifted programs.
The term "racial equality" describes a situation in which people of all races and ethnicities are treated equally, regardless of any physical distinctions. Racial equality occurs when institutions uphold people's moral, legal, and political rights.
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A ball is launched with initial speed v from ground level up a frictionless slope. The slope makes an angle θ with the horizontal. Using conservation of energy, find the maximum vertical height hmax to which the ball will climb.
The maximum vertical height hmax to which the ball will climb by the law of conservation of energy is, hmax = (1/2g)ν² cos θ
What is conservation of energy?
The law of conservation of energy states that the total amount of energy of an isolated system remain constant. Also for energy to be conserved, the sum of initial kinetic energy and the potential energy of the system is equal to the sum of final kinetic energy and the potential energy of the system. i.e.
Ki + Ui = Kj + Uj
where K represent Kinetic energy and U represents potential energy.
Since the ball is launched with initial speed v from ground level up a frictionless slope, it means the ball slides up the slope without rolling. The initial kinetic energy of the ball is given as:
Ki = 1/2mv²
The slope makes an angle θ with the horizontal. This means that velocity will be equal to zero in y-direction and velocity in x-direction is:
Ki = 1/2mv²cos θ
Potential energy of the max height is Uf = mghmax
The final potential energy the ball posses will be equal to the intial kinetic energy of it at the maximum height. Thus by the conservation of energy:
mghmax = 1/2mv²cos θ
hmax = 1/2gmv²cos θ
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You throw a ball straight up into the air. the ball starts from rest and has a speed of 7.60 m/s when it leaves your hand. in the process of throwing the ball, you move your hand through a vertical distance of 1.02 m. if the ball has a mass of 0.150 kg and undergoes constant acceleration during the throw, calculate the magnitude of the force that you exert on the ball during the throwing process. hint: remember newton's 2nd law - an object's acceleration is due to the net force acting on it.
The force exerted on the ball is 28.88 N.
We need to know about force to solve this problem. According to second Newton's Law, the force applied to an object will be proportional to mass and acceleration. Hence, it can be written as
F = m . a
where F is force, m is mass and a is acceleration
From the question above, we know that
vo = 0 m/s
vt = 7.6 m/s
s = 1.02 m
m = 0.15 kg
Find the acceleration
vt² = vo² + 2as
7.6² = 0² + 2.a.0.15
a = 57.76 / 0.3
a = 192.53
Find the force exerted
F = m .a
F = 0.15 . 192.53
F = 28.88 N
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Figure 2 shows a series circuit.
R₁1
Figure 2
R₂
Resistor R₂ breaks. What happens to the reading on the ammeter?
Answer:
sleep well
Explanation:
bukas nalbg yan pree
a screw is a heavy-duty cylinder with a screw mechanism in it that is turned by a lever to multiply its mechanical advantage hundreds of times.
A jack is a heavy-duty cylinder with a screw mechanism.
What is a mechanical advantage of simple machine?The mechanical advantage is the number of times a machine multiplies the effort force. The longer the distance over which the effort force is applied, the greater the mechanical advantage of the machine.
Friction is the force that resists motion when the surface of one object comes into contact with the surface of another.
The common principle of all screws is that a rotating helix can cause linear motion.
In a third-class lever, the effort force lies between the resistance force and the fulcrum. Some kinds of garden tools are examples of third-class levers.
for example, a pair of tweezers, a hammer, or the jaw. The arm of effort is smaller than the arm of the load.
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An arrow is fired from a bow horizontally and lands 54.3 meters away. The arrow was 9.5 meters high off the ground when it was fired.
Assuming that acceleration due to gravity is 9.8 m/s2, what was the velocity (v) of the arrow when it left the bow?
The horizontal velocity (v) of the arrow when it left the bow is 39.1 m/s.
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the arrow to travel down the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the arrow = 0g is acceleration due to gravityt is the time of motion of the arrowh is height of fallh = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 9.5 / 9.8)
t = 1.39 seconds
The velocity (v) of the arrow when it left the bow is calculated as follows;
X = Vₓt
where;
X is the horizontal distance of the arrowVₓ is horizontal speed of the arrow as it left the bowt is the time of motionVₓ = X/t
Vₓ = (54.3 m) / (1.39 s)
Vₓ = 39.1 m/s
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Convert 5 x 105 into normal notation.
50,000
500,000
.00005
5,000,000
Answer:
5 * 10^5 = 5E5 = 500,000
the acceleration due to gravity on the moon is about one- sixth what it is on earth. if an object is thrown vertically upward on the moon, how many times higher will it go than it would on earth, assuming the same initial velocity?
If thrown with the same initial speed, the object will go six times higher on the Moon than Earth.
What exactly is velocity ?Velocity is the pace and direction of an object's movement, whereas speed is the timekeeping at which an object is travelling along a path. In those other words, velocity is a vector, whereas speed is a scalar quantity.
What defines how velocity changes over time?Any time an object moving in a horizontal path experiences an acceleration, it is either speeding up, slowing, or spinning around because acceleration is described as any change in velocity over time.
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a 2,300-kg pile driver is used to drive a steel i-beam into the ground. the pile driver falls 4.80 m before coming into contact with the top of the beam, and it drives the beam 15.2 cm farther into the ground as it comes to rest. using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest.
The term "force" also refers to the effect that occurs when the body is moved from its position or is distorted. Force can be defined as the drive or pull of an item. We applied force to a wall, for example, but it did not move or change shape. even though we cannot see the distortion in a wall because it is a rigid body, there is still an exertion of force in actual practice.
Force
A force in pharmaceuticals is an influence that can alter how an object stirs. An object having mass can modify its speed—that is, accelerate—by being subjected to a force. Intimate synonyms for force include drive and pull. A force is a vector volume because it has both magnitude and direction. It is expressed as a newton in the SI system ( N). Force is denoted by the letter F. ( formerly P).
The net force acting on an item is equal to the rate at which its instigation changes with time, according to the original formulation of Newton's alternative law.
This rule, however, suggests that an item's acceleration is directly proportional to the net force acting on the object.
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an automobile differential with a mass of 76.0 kg is 1.00 m from the end of a 2.22 m workbench. what mass, in kg, must each end of the workbench support?
Here, we have a workbench whose entire length is 2.2 meters, together with the weight of the car differential. The mass is supported by the left and always will be, hence 409.3 divided by 9.8 kg equals one divided by G.
We now have 76.0 kilos of cramp. Additionally, the left end of this workbench has been kept one meter away from the auto differential. Therefore, this or conversation difference will have a weight of 76 in two gravitational acceleration. where G is the gravitational acceleration.
We must determine the weight that is supported by the two ends of this workbench at a distance of 1.0 meters.
The entire upward forces, which represent and one placenta, should be equal to the downward forces, which represent the weight of that Auto differential, which is 76 into 9.8 newtons, if these words are and one an end to first utilizing translational equilibrium for this workbench. And the result will be 744 8 Northern.
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how quality helps to distinguish the sound waves having same loudness and same pitch?
Quality helps to distinguish the sound waves having same loudness and same pitch through the distinctive tone which is observed.
What is Quality?This is also referred to as timbre and is a feature which helps to distinguish sounds which have the same loudness. This means that the same loudness denotes the same amplitude while a similar pitch denotes the same frequency.
Quality is however the distinguishing factor it can be deciphered with the use of our sense of hearing which is ears and in the identification of sounds with such properties and is the reason why it was chosen as the correct choice.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Mariana conducted an experiment where she burned a 5 g strip of magnesium metal in an open flame. The result was a 3.5g white ash collected in a crucible, a bright white flame, and smoke. Was the law of conservation of matter upheld in Mariana's experiment?
A. no, because mass decreased after the magnesium was burned
B. yes, because the missing mass was trapped by the closed system
C. yes, because the missing mass was released as smoke
D. no, because the magnesium was burned so mass was not lost
Answer:
B, Yes
Explanation:
Since the 5g of magnesium became 3.5g and white fire and smoke, it still has the same mass. It is just in a different form.
Yes, the law of conservation of matter was upheld in Mariana's experiment because the missing mass was released as smoke, therefore the correct answer is option C.
What is the matter?Anything which has mass and occupies space is known as matter, mainly there are four states of matter solid liquid gas, and plasma.
These different states of matter have different characteristics according to which they vary their volume and shape.
As given in the problem Mariana conducted an experiment where she burned a 5 g strip of magnesium metal in an open flame. The result was a 3.5g white ash collected in a crucible, a bright white flame, and smoke.
Yes, the law of conservation of matter was upheld in Mariana's experiment because the missing mass was released as smoke, therefore the correct answer is option C.
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a piston–cylinder device, whose piston is resting on a set of stops, initially contains 6 kg of air at 200 kpa and 27°c. the mass of the piston is such that a pressure of 400kpa is required to move it. heat is now transferred to the air until its volume doubles. the gas constant of air is r
By using internal energy, the heat transferred to the air until its volume doubles is 5570.69 joule.
We need to know about internal energy to solve this problem. For a closed system, with matter transfer excluded, the changes in internal energy are due to heat transfer and due to thermodynamic work done by the system on its surroundings. It can be determined as
ΔU = Q - W
where ΔU is the change in internal energy, Q is heat transferred and W is work done.
From the question above, we know that
m = 6 kg
P1 = 200 kPa
T1 = 298 K
P2 = 400 KPa
The internal energy should be
ΔU = Q - W
m(U2 - U1) = Q2 - W2
at the second state the work is zero
m(U2 - U1) = Q2
Assume constant specific heats
Q2 = m . Cv (T2 - T1)
Using the ideal gas
P1/T1 = P2/T2
200/298 = 400/T2
T2 = 596 K
Q2 = m . C . (T2-T1)
Q2 = 6 . 3.1156 . (596-298)
Q2 = 5570.69 joule
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As a scientist, you find an gold rock in the desert that has a
density of 19.3 g/cm³. After using a triple balance, you find
the gold rock consist of 312,000 mg. If the gold rock was
melted and put in liquid form, what would its volume
be?SHOW YOUR WORK
I don’t know how to solve this
The volume of the gold found by the scientist whose density and mass is given in the question is 16.26 cm³.
What is density?
Density describes how compact or concentrated something is. Suppose you have two boxes, one is large and other one is small. However, their weight is same. That means the small box has a higher density as compared to the large box.
As given in the question,
The density of the gold rock is 19.3 g/cm³.
and the mass calculated is 312,000 mg which is equal to 312 g.
The equation for density is:
[tex]Density = \frac{mass}{volume}[/tex]
Putting the value from the question,
312/19.3 = volume
volume = 16.16 cm³.
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A boy is running to the east and jumps into a stationary boat in a lake. once the boy lands in the boat, the boat moves to the east. which best compares the initial momentum of the boy with the final momentum of the boy/boat system? the initial momentum of the boy is zero because the velocity cancels with the mass of the boy. the initial momentum of the boy is greater than the boy/boat because the boy has a greater velocity than the boat. the initial momentum of the boy is less than the boy/boat because the boy has less mass than the boat. the initial momentum of the boy is equal to the boy/boat because the final velocity of the boat is less than the initial velocity of the boy.
Due to the boat's final velocity being lower than the kid's initial velocity, the boy's initial momentum is equal to that of the boy and the boat.
A moving object's velocity is gauged by its momentum. The momentum increases with velocity. The momentum of an item increases with its mass. Using Newton's second law of motion, it may also be connected to force. The sum of an object's mass and velocity is its linear momentum, often known as translational momentum or just momentum. It has a magnitude and a direction, making it a vector quantity. The measurement of an object's kinetic energy is what is commonly referred to as its momentum. Simply put, momentum is the result of multiplying mass by velocity.
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Answer: D
Explanation: precise, concise answer
If the output work is 500 J and the input work is 380 J, what is the machine efficiency?
If the output work is 500 J and the input work is 380 J, then the machine efficiency can be calculated as 130 % as per the efficiency formula.
How do you determine a machine’s efficiency?Divide the output work by the input work to get a machine’s efficiency, then multiply the result by 100%.
Efficiency is equal to output times 100%.
How is energy efficiency calculated?You may determine the efficiency by figuring out what proportion of the energy input results in the desired output: Efficiency is defined as EnergyOut/EnergyIn 100%.
What is an example of energy efficiency?Utilizing less energy to deliver an energy service is referred to as energy efficiency. LED light bulbs, for instance, use between 75 and 80 percent less electricity to generate the same amount of light as incandescent bulbs.
According to efficiency formula we know
Efficiency = [tex]\frac{580}{380}[/tex] * 100 = 130%
But technically this is not possible as no engine has efficiency greater than Carnot engine i.e., 100%
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During nearly every Seahawks game Russell Wilson struggles to find an open receiver and opts to run the ball to the 1st down line.
If the ball is snapped to him on the 20 yard line and he jumps back 7 yards to find a receiver before running to the 50 yard line before being tackled, all during a 10 second play, what was his velocity during this time?
Answer in yards per second. Answer to the nearest whole number.
From the description of the problem, the total velocity is obtained as 3.7 yards/ second.
What is the velocity?The term velocity is the ratio of the distance to the time taken. Let us note that in this case we are being asked for the average velocity of the ball and that is what we shall set to do after a consideration of the problem.
We are told that the ball is snapped to him on the 20 yard line and he jumps back 7 yards to find a receiver before running to the 50 yard line before being tackled, all during a 10 second play.
We can see that the total distance that has been covered by the ball is 7 yards + 30 yards = 37 yards and the time that has been taken is 10 seconds.
Thus velocity = distance / time = 37 yards /10 seconds
= 3.7 yards/ second
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you throw a rock straight up into the air with a speed of 11.5ms how long does it take to reach its highest point
The time taken for the rock to reach its highest point is 1.2 seconds.
What is time of motion?
The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the rock to reach its maximum or highest point is calculated as follows;
v = u - gt
where;
v is the final velocity of the rock at the highest pointu is the initial velocity of the rockg is acceleration due to gravityt is time of motionAt the maximum height, the final velocity of the object is zero.
0 = u - gt
]gt = u
t = u/g
t = (11.5 m/s) / (9.8 m/s²)
t = 1.2 seconds
Thus, we can conclude that time from the initial position of the rock to the highest position of the rock is 1.2 seconds.
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A hot air balloonist puts 125,000 Liters of air into their balloon at 27 °C and atmospheric pressure. When they heat the air to 200 °C at constant pressure, what is the final volume of the air in the balloon?
The final volume of the balloon is 197,083 L.
They are proportional to each other if the pressure does not change. However, there are pitfalls. To perform calculations we have to use the so-called absolute temperature. Increased external air pressure compresses the balloon.
Using equation;
PV =nRT
here constants are P,n, R
so the relation between P and T is
V₁ /T₁= V₂/T₂
V₂ = (V₁ /T₁)×T₂
= (125,000/300)×473
= 197,083 L.
As the volume of the balloon decreases the pressure inside the balloon increases. After all external air pressure can compensate. It becomes a balloon filled with dense cold air. According to Boyle's law, the volume of a gas of constant mass at constant temperature is inversely proportional to its pressure. The air around you has weight and pushes away everything it touches. This pressure is called atmospheric pressure or barometric pressure. This is the force exerted on a surface by the air above as gravity pulls the surface toward the Earth.
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a customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of ayaxis with an acceleration magnitude of 1.24g,with g
The magnitude of the downward acceleration of the customer is 12.15 m/s².
What is downward acceleration?
A downward acceleration is the acceleration experienced by an object moving downwards.
During the downward motion of an object, the velocity of the object increases while the downward acceleration acceleration remains constant.
The velocity increases and eventually become maximum before the object hits the ground.
Also, another observation is that, the acceleration of the object is always directed downwards.
The magnitude of the downward acceleration of the customer on amusement park is calculated as follows;
a = 1.24 g
where;
g is acceleration due to gravity = 9.8 m/s²a = 1.24 x 9.8 m/s²
a = 12.15 m/s²
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The complete question is below:
a customer sits in an amusement park ride in which the compartment is to be pulled downward in the negative direction of ayaxis with an acceleration magnitude of 1.24g,with g. find the magnitude of the acceleration.
Calculate the speed of a car that has traveled 300 miles in 6 hours.
Answer:
D= 300 miles
t= 6 hours
Speed = [tex]\frac{300}{6}[/tex] = 50 miles/h
The speed of the car is 50miles/h.
[tex]\frac{50}{3}[/tex] * 5 km/h
= 83.34 km/h
The speed of the car is 83.34 km/h.
Explanation: The answer has been given in both miles per hour and kilometer per hour.