Answer:
(a) the height of the diving board is 22.896 m
(b) the horizontal distance traveled by the girl is 7.02 m
(c) if she had just drop off the board, her time to drop to the water would have been longer.
Explanation:
Given;
initial speed of the girl, u = 3.9 m/s
time to hit the water, t = 1.8 s
(a) the height of the diving board is calculated as;
h = ut + ¹/₂gt²
h = (3.9 x 1.8) + ¹/₂ x 9.8 x 1.8²
h = 7.02 + 15.876
h = 22.896 m
(b) the horizontal distance traveled by the girl is calculated as;
X = ut
X = 3.9 x 1.8
X = 7.02 m
(c) if she just drop off the board, then the initial speed will be zero;
h = ut + ¹/₂gt²
h = 0 + ¹/₂gt²
2h = gt²
[tex]t^2 = \frac{2h}{g} \\\\t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2 \ \times\ 22.896 }{9.8} }\\\\t = 2.16 \ s[/tex]
Thus, if she had just dropped off the board, her time to drop to the water would have been longer.
Question 24 (1 point)
A 85 kg boy is riding his bicycle in circles with a radius of 7.2 meters. It takes him 6
seconds to make ones revolution. What is his velocity?
730 m/s
0.53 m/s
1.25 m/s
4:
7.54 m/s
A boy of mass 85 kg is riding a bicycle in a circle with a radius of 7.2 meters, and it takes 6 seconds to make one revolution, then his velocity will be equal to 7.54 m/s.
What is tangential velocity?The movement of an object along the circle's edge which path is always at the tangent to any specific point on the circle is described by tangential velocity.
As a result, tangential velocity is the amount of motion along a circle's edge that may be measured at any given time.
The speed at any location that really is tangent to the rotating wheel is quantified as the tangential velocity in a circular motion. The connection between rotational acceleration and tangential velocity is expressed by the formula. The part of movement along the circle's edge that can be detected at any time is called tangential velocity.
The given data in the question,
Radius, r = 7.2 meters.
Time, t = 6 seconds.
v = 2πr / t
v = 2π(7.2)/6
v = 7.54 m/s.
Therefore, the velocity of the boy is 7.54 m/s.
To know more about tangential velocity:
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A car’s brakes decelerate it at a rate of -1.70 m/s2. What is the time, in seconds, required to slow the car from 15 m/s to 9.0 m/s?
Answer:
t = 3.52 s
Explanation:
Given that,
The deceleration of a car is, a = -1.7 m/s²
The initial velocity of the car, u = 15 m/s
Final velocity of the car, v = 9 m/s
We need to find the time that is required to slow the car from 15 m/s to 9 m/s. The definition of acceleration is :
[tex]a=\dfrac{v-u}{t}\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{9-15}{-1.7}\\\\t=3.52\ s[/tex]
So, it will take 3.52 seconds to slow the car from 15 m/s to 9 m/s.
How can speed and velocity be used to describe motion?
Answer:
speed described how fast the object moves velocity describes how fast and in what direction its moved..
a car drives at a velocity of 12 [m/s] for 9 [s]. what distance does the car drive?
Answer:
The car drives 108 m
Please help as soon as possible!! Please!
Answer with explanation!!!
Answer:
The light enters the box along the normal to the side of the box or perpendicularly to the box's surface
Therefore, the light is expected to travel straight through the box
However, when a rectangular glass prism is placed inside the box, the light can then be refracted to pass through the box in the given path as shown
Light bends towards the normal when passing from a less dense medium to a denser medium with larger refractive index and vice versa
Therefore, when the glass prism with a larger refractive index than air is inclined with the top part further away from the incident beam and the bottom part closer to the incident beam as shown, the refracted ray through the box will be shifted downwards as shown in the drawing created with Microsoft Visio
Explanation:
[tex]Refractive \ index, n = \dfrac{sin(i)}{sin(r)}[/tex]
Where;
i = The angle between the incidence light and the normal line
r = The angle between the refracted light and the normal line
n = The refractive index
When n > 1 is large, we have, ∠i > ∠r and the light is bent towards the normal when moving from a less dense medium to a denser medium and vice versa.
Which object has a net force of -68 N?
F = 31 N
F = 89 N
F, = 27 N
F=-53N
F = 53 N F-56N
F = 103 N
F = 34 N
F=-102 N
F = -27 N
F = -74 N
F=-89 N
Answer:third one from the left
Explanation:
The third object from the given problem has a net force of - 68 Newtons because there is no net vertical force action of this object as equal upward and downward forces cancel each other.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
F = m*a
The net vertical force = 27 Newtons - 27 Newtons
= 0 Newtons
The net vertical force on the object would be zero.
The net horizontal force acting on the object = - 102 Newtons + 34 Newtons
= -68 Newtons
Hence we can conclude that the net force of - 68 Newton acting on the third object.
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At night, within how many feet of approaching a vehicle from the rear must you dim your high beam headlights
Answer: 500 ft
Explanation:
High beam headlights help one to see better at night as the range of vision is greatly expanded. They can however, blind drivers coming on the opposite lane.
It is therefore prudent to ensure that when using high beam headlights, you dim them when a car is coming towards you. The appropriate distance to do so is a minimum of 500 ft from the car.
give reason: the liquid pressure varies with the depth.
can I get the answer fast??
Answer:
This is due to an increase in hydrostatic pressure, the force per unit area exerted by a liquid on an object. The deeper you go under the sea, the greater the pressure of the water pushing down on you.
What are the units of Mass and Weight in the English System? Explain.
Answer:
I tried...
Explanation:
Assuming the English system of mass and weight is the same as the Imperial system, the measurements are:
• 1 pound (lb) = 16 ounces (oz)
• 2,000 pounds (lbs) = 1 ton (T)
I think that's everything?
In the English system, mass is measured in pounds and weight is also measured in pounds. However, it is important to understand the difference between mass and weight.
Mass is a measure of the amount of matter in an object and is a scalar quantity. It does not change with location or gravitational force. In the English system, mass is typically measured using a scale or balance, which compares the object's mass to a standard mass. The pound (lb.) is the unit of mass in the English system.
Weight, on the other hand, is a measure of the force exerted on an object due to gravity and is a vector quantity. It depends on the object's mass and the gravitational force acting on it. In the English system, weight is typically measured using a spring scale or a balance that incorporates a spring. The pound (lb.) is also used as the unit of weight in the English system.
Weight = Mass x Acceleration due to gravity
Mass is measured in pounds (lb.) and weight is also measured in pounds (lb.).It is important to note that weight can vary depending on the gravitational force acting on an object.
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acrostic poem for cell theory. Especially theory
Answer:
In biology, cell theory is the historic scientific theory, now universally accepted, that living organisms are made up of cells, that they are the basic structural/organizational unit of all organisms, and that all cells come from pre-existing cells. Cells are the basic unit of structure in all organisms and also the basic unit of reproduction.
Explanation:
The three tenets to the cell theory are as described below:
All living organisms are composed of one or more cells.
The cell is the basic unit of structure and organization in organisms.
Cells arise from pre-existing cells.
There is no universally accepted definition of life. Some biologists consider non-cellular entities such as viruses living organisms,[1] and thus reasonably disagree with the first tenet. Throughout this article, it will lead you through the history of cell theory, how the discovery of cells was made possible, what the cell theory has become today and background information and history regarding other opposing concepts of cell theory.
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Skip
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-nte
Answer:
The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
Explanation:
Answer: 27.9816 x 10^3 is the period of orbit
the relationship between m2,cm2,mm2 and km2
Answer:
m2
Explanation:
I just knowyyysydyyyyyyyýdydysyydysysydydhdhhdhdhdhxhchxhhxhc
Answer:
Square Meters to Square Centimeters Conversion
1 Square meter (m2) is equal to 10000 square centimeters (cm2). ... For example, to convert 10 m2 to cm2, multiply 10 by 10000, that makes 100000 cm2 is 10 m2.
cm2↔mm2 1 cm2 = 100 mm2.
How are computers used in education and entertainment? List them.
Answer:
The computers used in education and entertainment are:
Explanation:
Analog computer,Digital COMPUTER,Hybrid Computer
A car accident my rolls off a cliff as it leaves the cliff it has a horizontal velocity of 13 ms it hiys the ground 60 m from the shoreline calculate the height of the cliff
Answer:
104.59 m
Explanation:
The following data were obtained from the question:
Horizontal velocity (u) = 13 ms¯¹
Horizontal distance (s) = 60 m
Height (h) =?
Next, we shall determine the time taken for the car to get to the ground. This can be obtained as follow:
Horizontal velocity (u) = 13 ms¯¹
Horizontal distance (s) = 60 m
Time (t) =?
s = ut
60 = 13 × t
Divide both side by 13
t = 60 / 13
t = 4.62 s
Finally, we shall determine the height cliff. This can be obtained as follow:
Time (t) = 4.62 s
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
h = ½gt²
h = ½ × 9.8 × 4.62²
h = 4.9 × 21.3444
h = 104.59 m
Thus, the height of the cliff is 104.59 m
write the chemical name and chemical formula for four hydrogens and two nitrogen
Answer:
2 moles of H2Nsuperscript(-) or NHsubscript2 , amide group!
I hope it will be useful.
12. A rolling ball has 18 J of kinetic energy and is rolling 3.0 m/s. Find its mass.
Answer:
4g
I hope it will be useful.
Explanation:
KE = (1/2)*m*v^2
The dancing bear family loves when their trainer gives them little treats to reward them for a good performance. If the trainer gives the dancing bear family 34 treats each show, how many treats will the trainer need for 22 shows?
Answer:
748 treats.
Explanation:
If the trainer gives out 34 treats and gave them out for 22 shows, then to find the total you need to multiply 34 by 22, or (a longer but more simple way) add 34, 22 times.
Jack cannot run as fast as Paul. He decides to go at his own pace and not run with Paul. Which principle of fitness is he following?
Progression
Overload
Individuality
Reversibility
Answer:
individuality
Explanation:
since he cannot run with paul he decided to run by himself making his exercise individual
Answer: individuality
Explanation:
(you can ignore this its just the deffintion of individuality)
This is a crucial principle, the fundamental fact that everyone is different! Everyone responds to training in a different way. If you are walking or cycling with a friend, and doing exactly the same amount of training, don’t be concerned if one of you gets fitter faster than the other – this is what individualisation is all about.
It might be that one of you is having some pressure at work or difficulties at home, but wherever it is, it’s surprising what can affect your training. Some days your training can go really well and the next day, even though it was exactly the same length workout, it can be a nightmare. This is individualisation.
Given the distance between the crest of one wave and the crest of the next wave, you can determine the?
True or false? When a change of state starts to occur, the energy supplied changes the temperature but not the internal energy.
Answer:
True
Explanation:
This heat energy allows the change of state to happen, and the temperature remains constant during the process. The amount of energy required to change the state of a substance depends upon the mass and characteristics of that substance. The energy required to change the state of a material is known as the latent heat. During a change of phase the temperature does not change, but the internal energy does. The internal energy is the sum of the kinetic energy of the molecules and the chemical potential energy of the molecules.
A swing held up by someone at one side has the potential to swing when released.
True
False
If six moles of hydrogen chloride (HCl) react with plenty of aluminum, how many moles of aluminum chloride (AlCl3) will the reaction produce?
2Al + 6HCl → 2AlCl3 + 3H2
Answer:
Two moles of aluminum chloride [tex](AlCl_3)[/tex] are produced when six miles of hydrogen Chloride [tex](HCl)[/tex] react with plenty of aluminum
Explanation:
6 Moles of [tex]HCl[/tex] will only react with 2 moles of [tex]Al[/tex] irrespective of the number of moles of each compound present. The reaction wiil take place in this ratio only. The products produced will be 2 moles of [tex]AlCl_3[/tex] and 3 moles of [tex]H_2[/tex] this ratio will also be constant.
So, six moles of hydrogen chloride [tex](HCl)[/tex] will react with plenty of aluminum to produce many 2 moles of aluminum chloride [tex](AlCl_3)[/tex].
Find the direction cosines of cartesian coordinates (3, -1, 2).
Explanation:
vgfbhhhhhjhbgvbhggy
If red and blue light rays fall with the same angle of incidence on the separating
surface between two different transparent media, then the ratio between the refraction
angle of the red light and the refraction angle of the blue light (.) is
a) greater than 1
b)equal to 1
c )indeterminable
d)less than 1
Answer:
I'm gonna say it's D
Explanation:
but when u do the experiment on in u head you'll actually find out that it is actually , indeterminable
What is the kinetic energy of a go-kart with a mass of 25 kg and a velocity of 2 m/s?
Answer:
50 JExplanation:
The kinetic energy of an object can be found by using the formula
[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]
m is the mass
v is the velocity
From the question we have
[tex]k = \frac{1}{2} \times 25 \times {2}^{2} \\ = 12.5 \times 4[/tex]
We have the final answer as
50 JHope this helps you
Objects with different masses have the same gravitational force acting
on them.
TRUE
FALSE
You get a job delivering water. You calculate how much work is done picking up each 20 L bottle of
water and raising it vertically 1 m. For every 100 bottles you deliver, you will use Select.... (g =
9.8 m/s2)
-196J
-2,000 J
-19,600 J
-196,000J
Answer:
The work done by picking up 100 20-L bottles and raising it vertically 1 meter is 19614 joules.
Explanation:
By the Work-Energy Theorem, the work needed to raise vertically 100 bottles of water is equal to the gravitational potential energy, units for work and energy are in joules:
[tex]\Delta W = \Delta U_{g}[/tex] (1)
Where:
[tex]\Delta W[/tex] - Work.
[tex]\Delta U_{g}[/tex] - Gravitational potential energy.
The work is equal to the following formula:
[tex]\Delta W = n\cdot \rho \cdot V \cdot g \cdot \Delta h[/tex] (2)
Where:
[tex]n[/tex] - Number of bottles, dimensionless.
[tex]\rho[/tex] - Density of water, measured in kilograms per cubic meter.
[tex]V[/tex] - Volume, measured in cubic meters.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
[tex]\Delta h[/tex] - Vertical displacement, measured in meters.
If we know that [tex]n = 100[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]V = 0.02\,m^{3}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta h = 1\,m[/tex], then the work done is:
[tex]\Delta W = (100)\cdot \left(1000\,\frac{kg}{m^{3}} \right)\cdot (0.02\,m^{3})\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (1\,m)[/tex]
[tex]\Delta W = 19614\,J[/tex]
The work done by picking up 100 20-L bottles and raising it vertically 1 meter is 19614 joules.
how can you verify the archimedes principle?
Answer:
It is found that W1 - W2 loss in weight of solid when immersed in water is equal to the weight of the water displaced by the body. This verifies Archimedes' principle.
Calculate the total energy transferred when 200 g of ice cubes at 0°C are changed to steam at 100°C.
Specific heat capacity of water = 4200 J/kg °C
Specific latent heat of fusion = 340 kJ/kg
Specific latent heat of vaporisation = 2260 kJ/kg
Answer:
[tex]604000\ \text{J}[/tex]
Explanation:
m = Mass of ice = 200 g
[tex]\Delta T[/tex] = Temperature change of water = [tex](100-0)^{\circ}\text{C}[/tex]
c = Specific heat capacity of water = 4200 J/kg °C
[tex]L_f[/tex] = Specific latent heat of fusion = 340 kJ/kg
[tex]L_v[/tex] = Specific latent heat of vaporisation = 2260 kJ/kg
Heat required to convert ice to water = [tex]mL_f[/tex]
Heat required to raise the temperature of water to boiling point = [tex]mc\Delta T[/tex]
Heat required to convert water to steam = [tex]mL_v[/tex]
Total heat required
[tex]q=mL_f+mc\Delta T+mL_v\\\Rightarrow q=m(L_f+c\Delta T+L_v)\\\Rightarrow q=0.2(340\times 10^3+4200(100-0)+2260\times 10^3)\\\Rightarrow q=604000\ \text{J}[/tex]
Heat required to convert the given amount of ice to steam at the required temperature is [tex]604000\ \text{J}[/tex].