Answer: 800 Joules
Explanation:
The Work [tex]W[/tex] done by a Force [tex]F[/tex] refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path with distance [tex]d[/tex].
Work is a scalar, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter:
[tex]1J=(1N)(1m)=Nm[/tex]
Now, when the applied force is constant and the direction of the force and the direction of the movement are parallel (as this case), the equation to calculate it is:
[tex]W=(F)(d)[/tex]
Where:
[tex]F=20 N[/tex]
[tex]d=40 m[/tex]
Then:
[tex]W=(20 N)(40 m)[/tex]
[tex]W=800 Nm=800 J[/tex]
What is the molality of a solution that contains 54 grams of NaOH dissolved in 1.50 kg of water? (The molar mass of NaOH 40.00 grams/moles.)
Answer:
0.900 mol/kg
Explanation:
Molality is moles of solute per kilograms of solvent.
Converting 54 grams of NaOH to moles:
54 g NaOH × (1 mol NaOH / 40.00 g NaOH) = 1.35 mol NaOH
So the molality is:
m = (1.35 mol) / (1.50 kg)
m = 0.900 mol/kg
Convert grams of NaOH to moles:
The formula to convert grams to moles is:[tex]\text{moles of NaOH} = \frac{\text{mass of NaOH (g)}}{\text{molar mass of NaOH (g/mol)}}[/tex]
Given that the mass of NaOH is 54 grams and its molar mass is 40.00 g/mol:
[tex]\text{moles of NaOH} = \frac{54 \text{ g}}{40.00 \text{ g/mol}} = 1.35 \text{ moles}[/tex]
Determine the mass of the solvent (water):
The mass of water is given as 1.50 kg.
Convert this mass into kilograms (if necessary):
Since 1.50 kg is already in the correct unit, no conversion is needed here.
Calculate molality (m):
The formula for molality is:
[tex]\text{molality (m)} = \frac{\text{moles of solute}}{\text{mass of solvent (kg)}}[/tex]
Substitute the values into the formula:
[tex]\text{molality} = \frac{1.35 \text{ moles}}{1.50 \text{ kg}} = 0.90 \text{ m}[/tex]
I NEED ANSWER ASAP
A block of ice has the density of 0.97 g/cm3 . How much of it will sink below the surface of the water?
About 97 percent of the ice will sink below water.
All—100 percent—of the ice will sink below water.
About 3 percent of the ice will sink below water.
None—0 percent—of the ice will sink below the water.
Answer:
97% will sink below the water
Explanation:
Waters density is 1 g/cm3
If an object's density is greater than 1g/cm3, it will sink. If it's less then it would float. 1-0.97 = 0.03. Only 3% of the ice would show while 97 will be under.
Answer:
About 97 percent of the ice will sink below water.
Explanation:
Let the volume that is submerged into the water is given as V1
so at equilibrium condition we can say that buoyancy force on it is balanced by weight of the block
so we have
[tex]\pho_{water} V_1 g = \rho_{ice} V g[/tex]
now we have
[tex]\frac{V_1}{V} = \frac{\rho_{ice}}{\rho_{water}}[/tex]
[tex]\frac{V_1}{V} = \frac{0.97}{1}[/tex]
so the percentage of block that is submerged into the water is given as
volume percent submerged = 97 %
Would earth orbiting the sun be known as
A. Newton’s First Law of Motion
B. Newton’s Second Law of Motion
C. Newton’s Third Law of Motion
All three of Newton's laws of motion, as well as his law of universal gravity, are involved in the explanation of orbits.
The time required for one cycle, a complete motion that returns to its starting point, is called the _____.
Answer:
period
Explanation:
Answer:
The time required for one cycle, a complete motion that returns to its starting point, is called the period .
Explanation:
Any motion that repeats at regular time intervals is called periodic motion. This kind a motion has some characteristics like the period. Other important characteristic is the frequency, which is the number of complete cycles in a given time, that is, the inverse of the period.
What is most likely true of an atom with a mass of 15 amu?
A) There are 15 protons.
B)There are 15 electrons.
C)The total number of protons and electrons is 15.
D)The total number of protons and neutrons is 15.
The answer is D: The total number of protons and neutrons is 15.
The atomic mass of an atom is the total mass of its protons and neutrons. Protons have a mass of 1 amu, and neutrons have a mass of 1 amu. Therefore, if an atom has an atomic mass of 15 amu, then it must have 15 protons and 15 neutrons.
A: There are 15 protons. This is not necessarily true. The atomic number of an atom is the number of protons in its nucleus. The atomic number of an atom with an atomic mass of 15 could be 7 (nitrogen), 8 (oxygen), or 9 (fluorine).
B: There are 15 electrons. This is not necessarily true. The number of electrons in an atom is equal to the number of protons in the atom's nucleus. However, the electrons can be arranged in different energy levels, so the number of electrons in the outermost energy level may not be equal to the number of protons.
C: The total number of protons and electrons is 15. This is not necessarily true. The number of protons in an atom is always equal to the number of electrons in the atom. However, the number of electrons in the outermost energy level may not be equal to the number of protons.
D: The total number of protons and neutrons is 15. This is always true. The atomic mass of an atom is the total mass of its protons and neutrons. Therefore, if an atom has an atomic mass of 15 amu, then it must have 15 protons and 15 neutrons.
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9.7/3.33 round answer to the correct number of significant digits
Answer:
2.9
Explanation:
9.7 / 3.33 = 2.912912912...
We need to round to the correct number of significant figures. 9.7 has two significant figures, and 3.33 has three significant figures. We need to round to the least number of significant figures available, so we round to two.
2.91 ≈ 2.9
Why does a heavier object fall faster
Explanation:
In a vacuum (no air resistance), it doesn't. All falling objects, regardless of mass, accelerate at the same rate.
However, when air resistance is taken into account, heavier objects indeed fall faster than lighter objects, provided they have the same shape and size. For example, a lead ball falls faster than a styrofoam ball.
To understand why, first look at what factors affect air resistance:
D = ½ρv²CA
where ρ is air density,
v is velocity,
C is drag coefficient,
and A is cross sectional area.
As falling objects accelerate, they eventually reach a maximum velocity where air resistance equals weight. This is called terminal velocity.
D = W
½ρv²CA = mg
v = √(2mg/(ρCA))
If we increase m while holding everything else constant, v increases. So two objects with the same size and shape but different masses will have different terminal velocities, with the heavier object falling faster.
Before you ask why, you need to know whether.
On the moon, or any other airless body, all objects fall together, no matter how much each one weighs. We've known this for a good 500 years.
On Earth, if one object falls slower, it's only because the air caught it and held it back.
A bird can fly at 32 km/h. How long does it take to fly 22 km?
Answer:
It takes the bird 0.6875 hour to fly 22 km
Explanation:
Lets revise the relation between the distance, speed and time
→ Distance = speed × time
→ Speed = distance ÷ time
→ Time = distance ÷ speed
A bird can fly at 32 km/h
The speed of the bird is 32 km/h
The bird will fly 22 km
We need to find the time it takes the bird to fly this distance
The speed = 32 km/h
The distance 22 km
Lets use the rule:
→ Time = distance ÷ speed
→ Time = 22 ÷ 32 = 0.6875 hour
It takes the bird 0.6875 hour to fly 22 km
Organized elements into four groups based on properties
Answer:
Lavoisier
Explanation:
11. Ionization energy is the amount of energy necessary to
form an anion
remove an electron from an atom
to fill the outer energy level with electrons
form an ionic bond
Answer: Ionization energy is the amount of energy necessary to remove an electron from an atom
Explanation:
Ionization consists of the production of ions, which are electrically charged atoms or molecules due to the excess or lack of electrons with respect to a neutral atom or molecule.
In this sense, ionization energy is the energy necessary to separate (remove) an electron from a gaseous atom, isolated and in a fundamental state. This is because electrons are strongly attracted to the nucleus and it is necessary to provide energy to separate them. However, where the atom always loses electrons is in the last layer, which is where the weakest electrons are attracted to the nucleus.
Which option determines gravitational pull?
A. Acceleration
B. The sun
C. Volume
D. Mass
The correct option that determines gravitational pull is mass. Gravitational force is calculated using the masses of objects and the gravitational constant, with the formula F = mg close to the Earth's surface.
Gravitational pull and Influencing Factors
The option that determines gravitational pull is mass. According to Newton's Law of Gravity, anything that has mass attracts everything else that has mass. The gravitational force (F) between two objects can be determined by the equation F = G(M1M2)/r^2, where G is the gravitational constant, M1 and M2 are the masses of the objects, and r is the distance between the centers of the two objects. The force of gravity on an object near the Earth's surface is calculated as the mass of the object (m) multiplied by the acceleration due to gravity (g), which is F = mg.
Volume does not directly determine gravitational pull; rather, it is the total quantity of matter, or mass, within that volume that contributes to gravity. The acceleration due to gravity remains constant (g = 9.81 m/s^2 near the Earth's surface) regardless of the object's mass. While the force of gravity is relatively weak, it is sufficient to keep the planets in orbit around the sun, as demonstrated in Newton's Universal Law of Gravitation.
what happens to your behind when you sit for too long?
Sitting for long hours without any interruption may cause painful neck, swayed back in the long run and sometimes disc damage.
Explanation:
Human bodies are designed to stand upright. Cardiovascular and bowel functions work effectively in that way. Sitting too long may weaken and deplete large leg and gluteal muscles which are significant in walking and stabilizing the body.
It also causes stress and reduced social skills. It can also lead to serious health hazards such as cardiovascular complications, diabetes, imbalances in spinal structure. To avoid all these exercises, yoga, stretching regularly is mandatory.
What chemical phenomenon accounts for the elasticity seen in solids?
covalent bonds
hydrogen bonds
ionic bonds
all of the above
The elasticity in solids is primarily due to covalent bonds. These bonds allow atoms to move slightly and then return to their original positions. Other types of bonds such as ionic and hydrogen can also contribute, but typically covalent bonds are the main factor.
Explanation:The chemical phenomenon that accounts for the elasticity seen in solids is primarily due to covalent bonds.
These bonds hold the atoms together in the solid and allow them to move slightly and then return to their original positions. Other bonds like ionic and hydrogen bonds can also contribute to some extent, but typically, covalent bonds play the largest role. If a force is applied to a solid, it can stretch or deform, but it will return to its original shape when the force is removed because of the elasticity provided by these bonds.
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Okay so I have a few questions:
1. An individual has a weight of 735 Newton’s. What is the individual’s mass? Show the appropriate equation and show your work
2. A temperature of a 50kg block increases by 15 degrees Celsius when 337,500 J of thermal energy are added to the block. What is the specific heat of the object? Show your work
(What is the block made of?) (is this block a good material for insulators or conductors)
3. Describe how the velocity and acceleration of a skydiver changes as she falls from the plane back to the ground.
1.
Answer:
m = 74.9 kg
Explanation:
As we know that weight of the object is force due to gravity
Now we know that
[tex]F_g = mg[/tex]
[tex]m = \frac{F_g}{g}[/tex]
[tex]m = \frac{735}{9.81}[/tex]
[tex]m = 74.9 kg[/tex]
2.
Answer:
[tex]s = 450 J/kg ^oC[/tex]
Explanation:
Heat added to the system is given as
[tex]Q = ms\Delta T[/tex]
so we will have
[tex]337500 = 50 s (15)[/tex]
[tex]s = 450 J/kg ^oC[/tex]
3.
Answer:
Velocity will increase while acceleration will remain constant
Explanation:
When skydiver falls from rest then velocity will increase with time while the acceleration due to gravity will remains constant.
So here we can say that
[tex]a = 9.81 m/s^2[/tex]
while velocity will increase while it falls from certain height
An engineer in a locomotive sees a car stuck on the track at a railroad crossing in front of the train. When the engineer first sees the car, the locomotive is 330 m from the crossing and its speed is 25 m/s. If the engineer’s reaction time is 0.29 s, what should be the magnitude of the minimum deceleration to avoid an accident? Answer in units of m/s 2
Answer:
Explanation:
First, since the engineer is a slowpoke and he reacts a third of a second too late, the train will have 330 - 0.29*25 = 322,75 meters to stop. now, be [tex]x[/tex] (with [tex]x>0[/tex]) the deceleration value for which the train bumps at the car and stops, you have two conditions:
[tex]\left \{ {{25t-\frac12xt^2 = 322.75} \atop {0=25-xt}} \right.[/tex]
First states how much space the train has to stop, and the second tetermines how fast it slows down.
Solving the second for t, substituting in the first, and solving for x gives you a value of approximately [tex]1.94 m/s^2[/tex].
As usual, double check the calculations for yourself, it's always a good practice
How does increasing the speed of a motorbike change the amount of energy in its kinetic energy store?
Answer:
Kinetic energy is energy in motion so therefor if you increase the velocity or in your case speed the kinetic energy also has to increase
Explanation:
Answer:
If the speed of a motorbike increases, its kinetic energy will also increase.
Explanation:
Kinetic energy is the energy an object has due to its motion, and it is a function of the mass and velocity of the object:
[tex]E_{k}=\frac{m*v^{2}}{2}[/tex]
From the expression, it is easy do identify a quadratic relation between kinetic energy and velocity. Therefore, if the speed of a motorbike increases, its kinetic energy will also increase.
For example, if you increase the speed of a motorbike by 10 times, and since mass is a constant value, the kinetic energy will increase by 100 times.
An exposure is made at 200 cm SID and has an intensity of 5 milliroentgens (mR), and a second exposure is made is at 100 cm SID. Calculate the intensity of the x-ray beam of the second exposure.
The intensity of X-ray beam of second exposure made at 100 cm SID is 20 mR.
Solution:
By using inverse square law formula, intensity of X-Ray beam made at different distances can be found.
[tex]\frac{I_{1}}{I_{2}}=\left(\frac{D_{2}}{D_{1}}\right)^{2}[/tex]
Where [tex]I_1[/tex] is the intensity of first exposure of X-ray-beam.
[tex]I_2[/tex] is the intensity of second exposure of X-ray beam.
[tex]D_1[/tex] is the distance at which first exposure is made.
[tex]D_2[/tex] is the distance at which second exposure is made.
[tex]\begin{array}{l}{\frac{I_{1}}{I_{2}}=\left(\frac{100}{200}\right)^{2}} \\\\ {\frac{5}{I_{2}}=\frac{1}{4}} \\\\ \bold{{I_{2}=20\ \mathrm{mR}}\end{array}}[/tex]
Kim travelled at a speed if 18km/h for two hours. What was the distance covered?
Answer:
36 km
Explanation:
Answer:
36
Explanation:
Once you have completed a personal strategy card for an assignment, you should __________.
Answer:
keep it and use it in similar assignments
Explanation:
A personal strategy card is a form of student assessment where teachers can look at the learning process of the student and get a feedback on the next learning step to be taken by the student.
The card can a sections are;
what the topics covered and the challenges faced. Identifying the connection created from current and previous topics.The student will note down his/her experience in the topic.Re-organizing the information in topic.Writing a personal journal on all the steps covered.This information is important because it can be used as a study guide on other similar assignments .
how long does it usually take a hypothesis to become a theory
Answer:
If enough evidence accumulates to support a hypothesis, it moves to the next step (known as a theory) in the scientific method and becomes accepted as a valid explanation of a phenomenon.
Answer:
Hypothesis is usually referred as an assumption or an observation made without much proof to support the statement. Hence scientists and experimental physicists uses hypothesis and perform experiments and observations to support the theory.
The hypothesis will get transformed into a theory only when there is enough evidence to support the cause and the science behind the set of events. It is dependent upon a number of scientific tests an hence it is not possible to define a time period. It may varies from years to forever (or never).
calculate the weight of a 65 kg person on earth
Answer:
143.325 pounds (rounded to 8 digits, but you can round it to a lower amount of digits if you need to!)
Explanation:
So 1 kg = 2.205 lbs, so 65 kg = 2.205lbs * 65kg, which is equal to approximately 143.325 lbs.
( 1kg = 2.205lbs; 65 kg = ? lbs)
The black mamba is one of the world’s most poisonous snakes, and with a maximum speed of 18.0 km/h, it is also the fastest. Suppose a mamba waiting in a hide-out sees prey and begins slithering toward it with a velocity of +18.0 km/h. After 2.50 s, the mamba realizes that its prey can move faster than it can. The snake then turns around and slowly returns to its hide-out in 12.0 s. Calculate the mamba's average velocity for the complete trip.
From hide-out toward prey:
Speed = 18 km/hr=5 m/s. ... Time = 2.5 sec. ... Distance= s*t = 12.5 meters
From turn-around back to hide-out:
Distance = 12.5 m. ... Time = 12.0 sec
Average speed = (total distance covered) / (time to cover the distanced)
total distance = (12.5 + 12.5) = 25 meters
total time = (2.5 + 12.0) = 14.5 sec
Average speed = (25 m) / (14.5 sec) = 1.72 m/s
Average velocity = displacement / time
The creature ended up where it started, so its displacement is zero.
Average velocity = ( 0 / 14.5 sec )
Average velocity = zero
The snake then turns around and slowly returns to its hide-out in 12.0 s, mamba's average velocity for the complete trip is approximately 1.72 m/s.
By taking into account both the mamba's initial speed towards the prey and its subsequent motion back to the hiding place, the average velocity of the entire journey can be computed.
First, let's convert the velocities to meters per second (m/s):
[tex]\[ \text{Initial velocity} = 18.0 \, \text{km/h} \\\\= \frac{18.0 \times 1000}{3600} \, \text{m/s}\\\\ \approx 5.0 \, \text{m/s} \][/tex]
The distance traveled towards the prey can be calculated using the formula [tex]\( \text{Distance} = \text{Velocity} \times \text{Time} \)[/tex]:
[tex]\[ \text{Distance towards prey} = 5.0 \, \text{m/s} \times 2.50 \, \text{s} \\\\= 12.5 \, \text{m} \][/tex]
The distance traveled back to the hide-out is the same as the distance towards the prey:
[tex]\[ \text{Distance back to hide-out} = 12.5 \, \text{m} \][/tex]
The total distance traveled for the complete trip is twice the distance towards the prey:
[tex]\[ \text{Total distance} = 2 \times 12.5 \, \text{m} \\\\= 25.0 \, \text{m} \][/tex]
The total time taken for the complete trip is the sum of the time towards the prey and the time back to the hide-out:
[tex]\[ \text{Total time} = 2.50 \, \text{s} + 12.0 \, \text{s} \\\\= 14.5 \, \text{s} \][/tex]
[tex]\[ \text{Average velocity} = \frac{25.0 \, \text{m}}{14.5 \, \text{s}}\\\\ \approx 1.72 \, \text{m/s} \][/tex]
Thus, the mamba's average velocity for the complete trip is approximately [tex]\(1.72 \, \text{m/s}\)[/tex].
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What are balanced forces?
Answer:
Balance forces are two forces acting in opposite directions on an object, and equal in size. Anytime there is a balanced force on an object, the object stays still or continues moving continues to move at the same speed and in the same direction.
Explanation:
pls thank me
Answer:
Balance forces are two forces acting in opposite directions on an object, and equal in size.
? Help
How does your mass on the Moon compare to your mass on Earth?
OA) Your mass is less on the Moon.
O B) Your mass is greater on the Moon.
OC) Your mass is the same on the Moon and Earth.
Answer:
your mass is the same in the moon as on earth
Explanation:
on the monn there is less gravity than in the earth gravity determines the weight of an object but it can't change mass as mass is the amount of contents inside with out gravity
Final answer:
C) Your mass remains the same on the Moon as it is on Earth because mass is a measure of the amount of matter and does not change with location. However, your weight would be less on the Moon due to the weaker gravitational force compared to Earth's gravity.
Explanation:
When it comes to your mass on the Moon compared to your mass on Earth, your mass stays exactly the same in both locations. This is because mass is a measure of the amount of matter in an object, which does not change with location. On the other hand, weight is the force exerted on your mass by gravity, and this force does vary with location due to differences in gravitational pull.
Since the gravitational acceleration on the Moon is only about 1.625 m/s², compared to Earth's 9.80 m/s², your weight on the Moon would be significantly less than your weight on Earth, even though your mass remains unchanged. Therefore, if you were to scale, you would see a lower number on the Moon. Remember that while dieting might reduce your mass, simply stepping onto the Moon's surface only affects your weight, not your mass!
To conclude, the correct answer is:C) Your mass is the same on the Moon and Earth
All of the following would be useful in trying to obtain procedural information to replicate an experiment previously published except for a lab journal used in the original experiment. a published scientific journal. a dictionary. a peer-reviewed article
Answer:
I am pretty sure that the answer would be a peer reviewed article.
Explanation:
I saw this because, an encyclopedia, published scientific journal, and a lab journal used in the original experiment, are all reliable sources of information.
Answer:
A dictionary
Explanation:
did the quiz
During a baseball game, a batter hits a high
pop-up.
If the ball remains in the air for 6.37 s, how
high does it rise? The acceleration of gravity
is 9.8 m/s2.
Answer:
50.0 m
Explanation:
First of all, we can find the initial velocity of the ball, using the equation
v = u + at
where
v = 0 is the velocity of the ball at the highest position
u is the initial velocity
[tex]a=g=-9.8 m/s^2[/tex] is the acceleration of gravity
[tex]t=\frac{6.37}{2}=3.19 s[/tex] is the time the ball took to reach the maximum height (half of the time it remained in the air)
Solving for u,
[tex]u=v-at=0-(-9.8)(3.19)=31.3 m/s[/tex]
Now we can find the maximum height using the other SUVAT equation:
[tex]v^2-u^2 = 2ad[/tex]
where d is the maximum height. Solving for d,
[tex]d=\frac{v^2-u^2}{2a}=\frac{0^2-(31.3)^2}{2(-9.8)}=50.0 m[/tex]
Twenty is the _________________ of potassium.
A) charge
B) atomic mass
C) atomic number
D) number of neutrons
Answer:
I think it's D) Guess why? I searched it up!
If Joey ran 60 meters in 10 seconds, then his velocity is ________ m/s.
Answer:
6 m/s
Explanation:
A rider on a water slide goes through three different kinds of motion, as illustrated in the figure below. Use the data and the details from the figure to answer the following questions. Remember, when an object is in a circular motion it is accelerated toward the center of the circle with acceleration a = v2/r
a) At the end of the first section of the motion, riders are moving at approximately what speed? Show your work for partial credit.
A. 3 m/s B. 6 m/s C. 9 m/s D. 12 m/s
b) Suppose the acceleration during the second section of the motion is too large to be comfortable for the riders. What change could be made to decrease the acceleration during this section?
A. Reduce the radius of the circular segment
B. Increase the radius of the circular segment
C. Increase the angle of the ramp.
D. Increase the length f the ramp.
c) What is the vertical component of the velocity of the rider as he hits the water? Show your work for partial credit.
A. 2.4 m/s B. 3.4 m/s C. 5.2 m/s D. 9.1 m/s
d) Suppose the designers of the water slide want to adjust the height h above the water so that the riders land twice as far away from the bottom of the slide. What would be the necessary height above the water? Show your work for partial credit.
A. 1.2 m B. 1.8 m C. 2.4 m D. 3.0 m
e) During which section of the motion is the magnitude of the acceleration experienced by the rider the greatest?
A. The first B. The second C. The third D. It is the same in all sections
a) C. 9 m/s
First of all, let's calculate the difference in height between the starting point of the motion and the end point of the first section. It is given by:
[tex]\Delta h = L sin \theta[/tex]
where
L = 6.0 m
[tex]\theta=45^{\circ}[/tex]
Substituting,
[tex]\Delta h = (6.0)(sin 45^{\circ})=4.2 m[/tex]
Assuming the rider starts from rest, its initial speed is zero. For the law of conservation of energy, the decrease in gravitational potential energy of the rider will be equal to its gain in kinetic energy, so we can write:
[tex]mg\Delta h = \frac{1}{2}mv^2[/tex]
where m is the rider's mass, g = 9.8 m/s^2 is the acceleration of gravity, and v is the speed at the end of the first section. Solving for v, we find:
[tex]v=\sqrt{2g\Delta h}=\sqrt{2(9.8)(4.2)}=9.1 m/s \sim 9 m/s[/tex]
b) B. Increase the radius of the circular segment
In fact, the acceleration during the second section of the motion (circular motion) is given by the formula for the centripetal acceleration:
[tex]a=\frac{v^2}{r}[/tex]
where
v is the speed at the end of the first section
r is the radius of the circle
We notice that the acceleration is
- Proportional to the square of the speed
- Inversely proportional to the radius
So, we immediately see that if we increase the radius of the circle (choice B), the acceleration will decrease.
c) B. 3.4 m/s
When the rider exits the second section of the motion, he has a speed (completely horizontal) of 9.1 m/s (calculated in part (a); it didn't change, because the speed during the second section does not change).
The vertical component of his velocity is instead zero, since his motion is completely horizontal. Therefore, we can use the following SUVAT equation along the vertical direction:
[tex]v_y^2 - u_y^2 = 2g\Delta h[/tex]
where
[tex]v_y[/tex] is the vertical component of the velocity as the rider hits the water
[tex]u_y=0[/tex] is the vertical component of the velocity as the rider starts the 3rd section
[tex]\Delta h = 0.60 m[/tex] is the difference in height
Solving for [tex]v_y[/tex],
[tex]v_y = \sqrt{2g\Delta h}=\sqrt{2(9.8)(0.60)}=3.4 m/s[/tex]
d) C. 2.4 m
We want here the rider to land twice as far compared to before.
The horizontal distance travelled by the rider in section 3 is entirely determined by his horizontal motion. The horizontal component of the velocity, which is constant, is
[tex]v_x = 9.1 m/s[/tex]
calculated at part (a) and remained unchanged during section 2. The horizontal distance travelled during section 3 is
[tex]d=v_x t[/tex] (1)
where t is the time of the fall. This can be rewritten as
[tex]t=\frac{d}{v_x}[/tex]
We also know that the vertical displacement is:
[tex]h=\frac{1}{2}gt^2[/tex]
Substituting t from (1) into this equation, we find
[tex]h=\frac{gd^2}{2v_x^2}[/tex]
So we see that the height needed is proportional to the square of the distance: [tex]h \propto d^2[/tex]. Therefore, in order to land at twice the previous distance, the height must be 4 times the previous one, so:
[tex]h=4 (0.6 m)=2.4 m[/tex]
e) B. The second
We need to calculate the acceleration in each section.
In section 1 (motion along the slope), it is:
[tex]a=g sin \theta = (9.8)(sin 45^{\circ})=6.9 m/s^2[/tex]
In section 2 (circular motion), the acceleration is the centripetal acceleration:
[tex]a=\frac{v^2}{r}=\frac{9.1^2}{1.5}=55.2 m/s^2[/tex]
In section 3, the motion is free fall, so the acceleration is equal to the acceleration of gravity:
[tex]a=g=9.8 m/s^2[/tex]
Therefore, the rider experiences the largest acceleration in section 2.
This answer explains how to calculate the speed, acceleration, and vertical component of velocity for a rider on a water slide, as well as how to adjust the height to change the landing distance and determine the section with the greatest acceleration.
Explanation:To answer these questions about the rider on the water slide, we need to use the formula for acceleration in circular motion, which is a = v2/r. For question a, we can use the given information to calculate the speed at the end of the first section of motion. For question b, reducing the radius of the circular segment would decrease the acceleration during the second section. For question c, we need to calculate the vertical component of the rider's velocity as he hits the water. For question d, we can use the concept of projectile motion to determine the necessary height above the water to land twice as far away. Finally, for question e, we need to determine during which section of the motion the magnitude of the acceleration experienced by the rider is the greatest.
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Which scientist first proposed physical laws to mathematically describe the effect of forces on the motions of bodies?
Answer:
Issac Newton!
Explanation:
Hope this helps.
Answer: Isaac Newton
Explanation:
Isaac NewtonThe three laws of motion were first compiled by Isaac Newton in his Philosophiæ Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), first published in 1687. Newtonused them to explain and investigate the motion of many physical objects and systems.Feb 21, 2017