A young diver is practicing his skills before an important team competition. Use the diagram below in order to analyze the energies of the diver and complete the statements below.
Where m = mass (kg), g = 9.8 m/s2, v = velocity (m/s), h = height (m), KE = kinetic energy (J), and GPE = gravitational potential energy (J).
Use the equations above to answer the following questions.
A diver with a mass of 90 kg is at a height of 10 m, and he has not jumped off of the board yet (v = 0 m/s). When the diver reaches a height of 5 m (Point C), his gravitational potential energy is
A. 1350 J
B. 8820 J
C. 4410 J
D. 0 J
and his velocity is
E. 4.5 m/s
F. 0 m/s
G. 3.2 m/s
H. 9.9 m/s
Please help will mark brainliest
Answers
Answers:
The gravitational potential energy of the diver when he reaches point C is 4410 J.
The velocity of the diver is 9.9 m/s.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\\ \sf\longmapsto PE=mgh[/tex]
[tex]\\ \sf\longmapsto PE=90(5)(9.8)[/tex]
[tex]\\ \sf\longmapsto PE=4410J[/tex]
Now
It's converted to kinetic energy while reaching ground.
[tex]\\ \sf\longmapsto K.E=4410[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}mv^2=4410[/tex]
[tex]\\ \sf\longmapsto 90v^2=8820[/tex]
[tex]\\ \sf\longmapsto v^2=98[/tex]
[tex]\\ \sf\longmapsto v=9.9m/s[/tex]
Related Questions
Force = 30 N. Mass = 5 kg. Calculate Acceleration
Answers
Answer:
Explanation:
from F=ma, 30=5a, a=6
scientific notation. jst 11a
Answers
Answer:
2 * 10^4
Explanation:
(3 * 10^4)(4 * 10^4) / (6 * 10^4)
= (12 * 10^8)/(6 * 10^4)
= 2 * 10^4
On a frictionless surface how much force is necessary to accelerate a 0.49 kg object to the left at 4.8 m/s2?
Answers
Answer:
2.35 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
force = 0.49 × 4.8 = 2.352
We have the final answer as
2.35 NHope this helps you
At the instant a ball is thrown horizontally, an identical ball is dropped from the same height. Which ball hits the ground first? (no air resistance)
Answers
Answer:
They go same in the vaccum
Part A
As an object moves around, on which quantities does the change in its gravitational potential energy depend? Choose all that
apply.
Answers
A coin of mass 0.0050 kg is placed on a horizontal disk at a distance of 0.14 m from the center, as shown above. The coin doesn’t slip and the time it takes for the coin to make a complete revolution is 1.5 s.
A)The figure below shows the disk and coin as viewed from above. Draw and label vectors on the figure below to show instantaneous acceleration and linear velocity vectors for the pin when it is at the position shown below.
B)Determine the linear speed of the coin
C)The rate of rotation of the disk is gradually increased. The coefficient of stats if friction between the coin and the disk is 0.50. Determine the linear speed of the coin when it just begins to slip.
D)If the experiment in part c were repeated with a second, identical coin glued to the top of the first coin, how would this affect the answer to part c? Explain.
Answers
A) Figure attached below
B) The linear speed of the coin = 0.59 m/s
C) Linear speed as coin begins to slip = 0.83 m/s
D) The tangential speed will remain the same as seen in part C
Given data :
mass of coin = 0.0050 kg
Distance of coin from the center of disk = 0.14 m
Time to make a complete revolution = 1.5 s
A) Diagram showing the vectors on the figure is attached below
B) Determine the Linear speed of the coinLinear speed of coin = 2 * π * ( 0.14 ) / 1.5
= 0.59 m/s
C) Determine the linear speed of the coin when it just begins to slipgiven that: friction between coin and disk = 0.50
Friction becomes maximum when coin begins to slip
Maximum frictional force (Fmax) = uV
where V = mg
∴ Fmax = u*mg ---- ( 1 )centripetal force = [tex]\frac{mv^{2} }{r}[/tex] ---- ( 2 )Equating equations ( 1 ) and ( 2 ) to determine the linear speed ( v )
v² = u*r*g
∴ v = √(u*r*g ) = √( 0.5 * 0.14 * 9.8 )
= 0.83 m/s
D) If the experiment is repeated with a second coin glued to the top of the first coin the tangential speed will remain the same
Hence we can conclude that The linear speed of the coin = 0.59 m/s Linear speed as coin begins to slip = 0.83 m/s , The tangential speed will remain the same as seen in part C
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A toaster oven indicates that it operates at 1500 W on a 110 V
circuit. What is the resistance of the oven?
Answers
[tex]P=U.I => I=\frac{P}{U}=\frac{1500}{110}=\frac{150}{11}<A>\\I=\frac{U}{R}=> R=\frac{U}{I} = \frac{110}{\frac{150}{11} }=8.06< ohm>[/tex]
The answer is: A. 8.06 ohm
ok done. Thank to me :>
Which turn (left or right) requires the truck to slow down more in order to make the turn safely? Explain your answer using appropriate relationships.
Answers
Please help if you can!
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Answer:
a
Explanation:
bc i said so its right lol
Two boxes are 8 cm apart. Which of the following should Janet do to decrease the gravitational force between the boxes?
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Answer:
the answer is 2.
Explanation:
**BRAINLIEST** How does the Combining Vinegar and Baking Soda table represent the law of conservation of matter when baking soda and vinegar are combined?
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Basically your liquid will go over the line because you are adding more mass. the balloon will inflate because of mass filling it. Part 1 I noticed that there was a change from the original line. part 2 Some mass is lost. The bubbles are the gas leaving. The balloon increases in size because of the mass. The cup got heavier when I added the vinegar.
Gas leaving caused the bubbles.
If you walk at an average speed of 5 km/h for 30 minutes, how
far will you walk? (Write your answer with Sl unit.
Answers
Speed =5km/h
Time=30min
Distance is required
Distance=time*speed
30min*5km/h=600m
PLEASE HELP. I'LL GIVE BRAINLIEST IF YOU GET IT RIGHT.
Where have we found evidence of the early history of Earth?
a. The Moon, Venus, and Mars
b. Mars, the Moon, and Jupiter
c. Asteroids, the Moon, and Mars
d. The gas planets
Answers
Answer:Most of this ancient space rubble can be found orbiting the Sun between Mars and Jupiter within the main asteroid belt. Asteroids range in size from Vesta – the largest at about 329 miles (530 kilometers) in diameter – to bodies that are less than 33 feet (10 meters) across. The total mass of all the asteroids combined is less than that of Earth's Moon.❤
Mars, the Moon, and Jupiter, Where we have found evidence of the early history of Earth.
What is the evidence of the early history of Earth?The giant-impact theory is currently the one that is most frequently accepted. According to this theory, the Moon was created after the Earth collided with a smaller planet that was around Mars' size.
The Moon was created when the impact's leftover debris gathered in an orbit around Earth. The main asteroid belt, which extends between Mars and Jupiter, is home to the majority of this old space debris.
Asteroids range in size from the largest, Vesta, which has a diameter of roughly 329 miles (530 kilometers), to bodies that are about 33 feet (10 meters) wide. The cumulative mass of all asteroids is less than that of the moon on Earth.
Therefore, option B is correct.
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It requires a 70.4 N force (parallel to the inclined plane) to pull a 5.86 kg box up a 58.1° inclined plane with a rope at a constant speed. (a) What is the coefficient of kinetic friction between the inclined plane and the box?
(b) If the rope were to break, what acceleration would the box experience as it slid down the ramp?
Answers
Answer:
0.667; 4.965
Explanation:
Look at the picture I attached for the force analysis.
a) The coefficient=Friction/Normal Force. Because it's at constant speed, the force of friction + mgsin58.1° (because it's on an inclined plane and has split forces) is equal to the applied force (70.4N). Normal force is not equal to weight force though, because the box is on an inclined plane; it's equal to mgcos58.1°.
b) If it were to break, then the box no longer has an applied force, and the direction of friction has changed to up the inclined plane. F=m/a, so acceleration = mgsin58.1°- Friction/mass
what is the danger to spacecraft and astronauts from micrometeoroids?
Answers
Answer:
Suppose the micrometeoroid weighed 1 g = .001 kg
Suppose also the spacecraft were moving at 18,000 mph (1.5 hrs per rev)
Usually, the smaller particle would be moving but for simplicity suppose that it were stationary wrt the ground
v = 18000 miles / hr * 1500 m/mile / 3600 sec/hr = 7500 m/s
KE = 1/2 * .001 kg * (7500 m)^2 = 28,125 Joules
One can see that 28000 Joules could be damaging amount of energy
A child on a spinning ride at a playground has a centripetal acceleration of 0. 80 m/s2. The child completes a full circle every 4. 2 s. How far from the center of the ride is the child? 0. 068 m 0. 085 m 0. 27 m 0. 36 m.
Answers
The distance of the child from the center of the ride is 0.28 m.
The given parameters;
Centripetal acceleration of the child, a = 0.8 m/s²Number of revolution, = 1 rev per 4.2 sThe angular speed of the child is calculated as follows;
[tex]\omega = \frac{1 \ rev}{4.2 \ s} \times \frac{2 \pi \ rad}{1 \ rev} \\\\\omega = 1.5 \ rad/s[/tex]
The radius of the circle is calculated as follows;
[tex]a_c = \omega ^2 r\\\\r = \frac{a_c }{\omega ^2} \\\\r = \frac{0.8}{1.5^2} \\\\r = 0.28 \ m[/tex]
Thus, the distance of the child from the center of the ride is 0.28 m.
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In the fermentation of alcohol, sugars in the liquid are converted to alcohol and bubbles are formed on the surface of the liquids. Which gas forms the bubbles?
Answers
Answer:
I believe it is Carbon Dioxide because after yeast breaks down the glucose (sugar) molecule, it forms/creates CO2 and Ethanol. (though it might be Ethanol that creates the bubbles) I am not quite sure if this is correct, but I hope it helps! :,)
how many band is the parametric microphone equalizer?
Answers
Answer:
3 bands
Explanation:
Basically, the Parametric EQ divides the audio spectrum into three bands, allowing you to enhance (or suppress) the level in that range.
4. Marcia consumes 8.4 X 10.J (2000 food calories) of energy per day while maintaining a constant weight.
What is the average power she produces in a day? 97 Watts
Answers
Answer:
8.40 is your answer.
Explanation:
The average power she produces in a day be 97.22 Watts.
What is power?The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.
Marcia consumes total amount of energy per day = 2000 calories = 8.4 × 10⁶ joule.
1 day = 24 × 60 × 60 second = 86400 second
So, average power she produces in a day = energy/time
= 8.4 × 10⁶ joule/86400 second
= 97.22 Watts
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You plug your microwave into an outlet and then you heat up a piece of pizza in it. This is an example of an...
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Microwave Radiation????????????
car was moving in a straight road of length 320 km it covered 240 km with an average velocity 75 km/hr then it ran out of fuel and stopped for 0.6 hr until it was refueled and completed its journey with a velocity 100 km/hr so the average velocity during the whole journey
Answers
The average velocity of the car for the whole journey is 69.57 km/h.
The given parameters:
Length of the road, L = 320 kmDistance covered = 240 km at 75 km/htime spent refueling, t₂ = 0.6 hrFinal velocity, = 100 km/hrThe time spent by the before refueling is calculated as follows;
[tex]t = \frac{d}{v} \\\\t_1 = \frac{240}{75} \\\\t_1 = 3.2 \ hours[/tex]
The time spent by the car for the remaining journey;
[tex]t_3 = \frac{320 - 240}{100} \\\\t_3 = 0.8 \ hr[/tex]
The total time of the journey is calculated as follows;
[tex]t = t_1 + t_2 + t_3\\\\t = 3.2 \ hr \ + \ 0.6 \ hr \ + \ 0.8 \ hr\\\\t = 4.6 \ hours[/tex]
The average velocity of the car for the whole journey is calculated as follows;
[tex]v = \frac{total \ distance }{total \ time} \\\\v = \frac{320}{4.6} \\\\v = 69.57 \ km/h[/tex]
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rube goldberg machine steps
Answers
Answer:
Rube Goldberg Machine is "a comically involved, complicated invention, laboriously contrived to preform a simple operation." 2. What are the 6 Simple Machines? A. The 6 Simple Machines are: wedge, screw, lever, wheel and axel, inclined plane and pulley.
. What material does sound move quicker through?
Water
Air
Steel
Answers
Answer:
steel
Explanation:
the close molecules in solids allows sound to travel at a faster speed
Sound will move quicker through Steel than in water and air.
Sound: This can be defined as an audible form of energy, that is radiated outward from a source.
⇒ Generally,
Sound wave travels fastest in solid, more than in liquid or gas. This is because the molecules of solid are more closely together.
⇒ From the question above,
Water is a liquid materialAir is a gaseous materialSteel is a solid materialTherefore, sound will move quicker through Steel than in water and air.
Hence: sound will move quicker through Steel than in water and air.
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Explain how the stars impact the shape of a galaxy.
Answers
Answer:
Galaxies are too far away for astronomers to take real 3D measurements, but we can infer their shape based on the movement of stars. ... This is also true of less common spiral galaxies like the Milky Way. The bulge near the center contains older stars, while the flattened arms are home to younger ones.
Explanation:
The orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.
What is Star?A star is defined as a celestial object consisting of a luminous sphere of plasma held together by self-gravity where the closest star to Earth is the Sun. While many other stars are visible to the uncovered eye at night, their extreme distance from Earth causes them to appear as fixed points of light.
Galaxies are too far away for astronomers to take true 3D measurements, through which we can estimate their size based on the motion of stars, which is also true for less common spiral galaxies like the Milky Way.
Thus, the orbits of stars can also affect the shape of a galaxy through a variety of density waves that are produced when material is compressed into something comparable to a traffic jam in galaxies.
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If someone can help that would be cool
Answers
Answer:
1.5 cm
Explanation:
The ratio of areas is the square of the ratio of diameters, so cylinder A has (1/2)^2 = 1/4 the area of cylinder B.
The volume of the cylinder is jointly proportional to its area and its height. So, for a fixed volume, the height is inversely proportional to the area.
Cylinder B has 4 times the area of cylinder A, so any volume moved from cylinder A to B will require only 1/4 of the change in height that is required in cylinder A.
The red piston in cylinder B rises 1.5 cm.
How can you use a simple model to describe a wave and its features?
Answers
Answer:
Explanation:
Use mathematical representations to describe a simple model for waves that includes how the amplitude of a wave is related to the energy in a wave. Patterns can be used to identify cause and effect relationships.
A person uses a screwdriver to turn a screw and insert it into a piece of wood. The person applies a force of 20 newtons to the screwdriver and turns the handle of the screwdriver a total distance of 0.5 meter. How would these numbers be different if the person inserted a nail with a hammer instead of the screw with the screwdriver?
A. The force applied would be greater, but the distance would be shorter.
B. The force applied would be less, but the distance would be greater.
C. The force applied would be the same, but the distance would be shorter.
D. The force applied would be the same, but the distance would be greater.
Answers
If the person inserted a nail with a hammer instead of the screw with the screwdriver, the force applied would be greater, but the distance would be shorter. The correct option is A.
What is force?The action of push or pull in order to make a body change its state of motion or rest is called Force.
As the force is pressure per unit area. Force is inversely proportional to the area over which force is to applied.
The hammer would take more force to insert the nail. The screw has its helix which is to be inserted and application of force is small.
Thus, the force applied would be greater, but the distance would be shorter. The correct option is A.
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t if the person inserted a nail with a hammer instead of the screw with the screwdriver?
Shown below is a parallel circuit of two light bulbs.
(
Bulb 1
Bulb 2
Which statement best describes what will most likely happen if Bulb 1 burns out?
A. Bulb 2 will also burn out.
B. Bulb 2 will blink off and on.
C. Bulb 2 will stay lit, but will be a dimmer light source.
D. Bulb 2 will stay lit and the light source will be stronger.
NG
Answers
The characteristics of parallel circuits allow to find the correct answer for the question about what happens when a light bulb is:
D) Bulb 2 will stay lit and the light source will be stronger.
Electrical circuits have two forms and connection:
• Serie. In this case there is only one path through which current can circulate the current.
• Parallel. There are several roads where the current can circulate.
In a parallel circuit, the total current in the circuit is the sum of the current in each branch, the voltage in all branches remains constant.
Let's analyze the claims:
A) False. The bulbs are independent, what happens to one does not affect the other.
B) False. Both bulbs were on, so the second bulb should not be affected.
C) False. When burn a light bulb, there is more current in the other branch, The opposite happens.
D) True. When burn a light bulb there is more current in the other branch and therefore the light bulb 2 can dissipate more power by shining a little brighter.
In conclusion, using the characteristics of parallel circuits we can find that the correct answer for the question about what happens when a light bulb burns out is:
D) Bulb 2 will stay lit and the light source will be stronger.
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What does electrical energy transform into when used by objects in a home?
Answers
Answer:
What can electrical energy be transformed into?
Electrical energy is transformed into many forms - mechanical/kinetic, sound, heat, light, and other forms of electromagnetic radiation - by everyday appliances.
Explanation:
Answer:
none of the other answers could be correct.
Explanation:
The sun nuclear energy transfers to radiant energy A fire Chemical energy transfers to thermal and radiant energy. wind turbine Kinetic motion energy transfers to electrical energy. Lightbulb Electrical energy transfers to radiant and thermal energy. Radio Electrical energy transfers to sound energy.
astronauts appear weightless while working in the international space station because
Answers
cause there's no gravity therefore they appear weightless