Based on the calculations, the speed of this roller coaster at the bottom of the hill is equal to: B. 39.6 m/s.
Given the following data:
Height = 80.0 meters.
Scientific data:
Acceleration due to gravity (g) = 9.8 m/s².
How to calculate the speed?In accordance with the law of conservation of energy, the potential energy possessed by the roller coaster at the top is equal to the kinetic energy possessed by the roller coaster at the bottom of the hill:
PE = KE
mgh = ½mv²
2mgh = mv²
v = √(2gh)
Substituting the given parameters into the formula, we have;
v = √(2 × 9.8 × 80)
v = √1,568
Speed, v = 39.6 m/s.
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What was the name of the first living being to be put into orbit?.
Explain the difference between average speed and average velocity. The average acceleration is the difference between the average speed and the average velocity. Average speed is measured in kilometers per hour, whereas average velocity is measured in miles per hour. There is no difference between average speed and average velocity; they are completely equivalent terms. The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. The average speed, a scalar, equals the magnitude of the average velocity vector over the same time interval.
The average speed, a scalar, is greater than or equal to the magnitude of the average velocity vector over the same time interval. Option C is correct.
What is average velocity?The average velocity is the ratio of the total distance traveled to the total time taken by the body. Its unit is m/sec.
A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
The distinction between average speed and average velocity is that the scalar average speed is larger than or equal to the magnitude of the vector average velocity during the same time frame.
Hence option C is correct.
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The new horizons spacecraft, launched in 2006, spent 9.5 years on its journey to pluto. it derives its electric power from the heat generated by 10 kg of , which has an activity of . each decay emits an alpha particle with an energy of 5.6 mev. what is the total thermal power generated by this plutonium source
The total thermal power generated by this plutonium source is determined as 5.65 J/s.
Total thermal power generatedThe total thermal power generated by this plutonium source is determined as follows;
ΔP = Eλ
where;
E is the energy of the particles = 5.6 mevλ is the activity of the plutonium, which should be = 6.3 x 10¹⁵ s⁻¹ΔP = (5.6 mev) x (6.3 x 10¹⁵ s⁻¹)
ΔP = (5.6 x 10³ x 1.6 x 10⁻¹⁹ J) x (6.3 x 10¹⁵ s⁻¹)
ΔP = 5.65 J/s
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Which form of energy is converted to electrical energy in a voltaic cell?.
Answer:
chemical energy is converted to electrical energy in a voltaic cell.
What is the direction of a current that experiences the magnetic force shown above
east
south
north
west
Answer: Up
Explanation:
What type of motion a particle has if its velocity-time graph is as mentioned below? i) Graph is parallel to the time axis ii)Graph is a straight line passing through the origin and having a constant slope.
The velocity time graph is used to plot the velocity of a body against the time.
What is the velocity time graph?The velocity time graph is used to plot the velocity of a body against the time. The slope of this graph is called the velocity.
Now the following are true regarding the scenarios below;
Graph is parallel to the time axis - This is constant velocity
Graph is a straight line passing through the origin and having a constant slope. - There is a uniform acceleration.
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how many cubic meters of habitable space was available in skylab?
A 1,000
B 263
C 5,263
D 10,000
361 cubic meters of habitable space was available in the skylab. None of the given options are correct.
Who launched skylab?NASA launched the first American space station, called Skylab.
The fuel tank of the Saturn SIV-B rocket stage served as the Skylab's residential quarters.
Skylab's livable capacity was large in comparison to the spacecraft that American astronauts had previously used 361 cubic meters.
Skylab offered 361 cubic meters of livable area.
Hence, none of the given options is correct.
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Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis
Answer:
C
Explanation:
Greta is on the chairlift going up the mountain when one of her skis falls off.
The ski has a mass of 5 kg and hits the snow below with a speed of 72 km/h.
How high is the chairlift above the snow when the ski falls off?
(Ignore air resistance.)
The height of the chairlift above the snow when the ski falls off is determined as 20.4 m.
Conservation of energy
The height of the chairlift is calculated from the principle of conservation of mechanical energy as shown below;
P.E = K.E
mgh = ¹/₂mv²
gh = ¹/₂v²
h = v²/2g
where;
v is speed of the ski when it hits the snow below = 72 km/h = 20 m/sg is acceleration due to gravityh = (20)²/(2 x 9.8)
h = 20.4 m
Thus, the height of the chairlift above the snow when the ski falls off is determined as 20.4 m.
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A snail is traveling along a straight path. The snail’s velocity can be modeled by
The acceleration of the snail will be 7/13 m/sec². The acceleration is found as the rate of change of the velocity.
What is acceleration?The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
The given data in the problem is;
v(t)=1.4ln(1’t²) inches per minute
0<t<15 minute
Acceleration is found as;
[tex]\rm v('t)=1.4 \times \frac{1}{1+t^2} (2t)[/tex]
Acceleration at t= 5 minute;
[tex]\rm v'(5)=\frac{1.4(2)(5)}{1+5^2} =\frac{14}{26} \\\\ v'=\frac{7}{13}[/tex]
Hence, the acceleration of the snail will be 7/13 inch per square minute.
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Which property of sound waves decreases as the square of the distance from the source increases? A. Pitch
B. Intensity C. Wavelength D. Speed
Intensity is the property of sound waves that decreases as the square of the distance from the source increases. Option B is correct.
What is a sound wave?A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.
As the square of the distance from the source increases, the intensity of sound waves decreases.
Sound intensity relationship
[tex]\rm {I} = \frac{1}{r^2}[/tex]
[tex]\rm \frac{I_2}{I_1} =\frac{r_1^2}{r_1^2}[/tex]
Hence, option B is correct.
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According to Newton's 2nd Law of Motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is
10 m/s/s
10 m/s
100 m/s/s
1 m/s/s
According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
How to calculate acceleration?The acceleration of a moving body can be calculated by dividing the force of the body by its mass.
According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:
acceleration = 10N ÷ 10kg
acceleration = 1m/s²
Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².
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An object whose mass is 0.092 kg is initially at rest and then attains a speed of 75.0 m/s in 0.028 s. What average net force acted on the object during this time interval?
Answer:
F = 246.4 N
Explanation:
Concepts:Newton's Laws Of MotionFirst Law: (Law of Inertia)
Inertia refers to the tendency of an object to resist any change in its state of motion. Inertia is a measure of the objects mass.Second Law:
refers to an object's motion when a net force does not equal zero. Acceleration is directly proportional to the net force and inversely proportional to the object's mass.Third Law: (Action - Reaction)
Whenever one object exerts a force on a second object, the second objects exert an equal but opposite force on the first.Weight:
Force of gravity is the weight of an object and is measured in Newtons.Friction:
Frictional forces always oppose motion. The frictional forces ([tex]F_f[/tex]) is proportional to the coefficient of friction (Ц) and to the normal force [tex](F_n) F_f=uF_n[/tex].The normal force is a contact force which acts perpendicular to the common surface of contact.Now onto the steps:
----------------------------------
F = mΔV ÷ t
F = 0.093 x 75 ÷ 0.028
F = 246.4 N
Therefore, the average net force acted on the object during this time interval is 246.6 Newtons.
Calculate the velocity of an object.
moved around a circle with a radius of
1.65m and an acceleration of 3.5 rad /s²
Answer:
5.775 m/s
Explanation:
radial acceleration = velocity / radius
=> velocity = radial acceleration * radius
=> v = 3.5 * 1.65 = 5.775 (m/s)
Who collected the evidence to prove what quasars are?
*
1 point
Inh Jee
Fred Hoyle
Albert Einstein
Maarten Schmidt
Answer:
I believe the answer is Maarteb Schmidt as he's the one who discovered quasars.
PLEASE HELP ASAP!!
The invention and use of the microscope showed scientists that germs could cause illness. Although there had been various understandings before for why people become ill, the discovery that microscopic germs can make people sick completely changed scientific understanding of why diseases exist and spread.
This change is an example of what?
how a law changes when new evidence disproves it
how a law stays the same as new scientific inquiries are made
how a theory changes as new areas of science open up
how a theory stays the same when new research confirms it
According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)
What is a scientific theory?A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.
According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.
So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.
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Answer:
Explanation:
According to the information in the fragment, it can be inferred that it is an example of how scientific development has consequences on pre-established theories and new areas are created in science (option C)
What is a scientific theory?
A scientific theory is a term to refer to a set of concepts and observations that are proposed as principles to explain a class of phenomena.
According to the above, the discovery of germs and their relationship with human diseases was an event that changed scientific theories about human diseases because it demonstrated a different explanation than what was believed up to that time.
So, the correct answer is option C because this event changed scientific theory and opened new fields for scientific study and research.
2 large parallel plates are 2.0 cm apart. the strength of the electric plates between them is 100.0 n/c . what is the difference in the voltage between them?
Hello!
We can use the following equation for the potential difference between two parallel plates given an electric field and separation distance:
[tex]V = Ed[/tex]
V = Potential Difference (? V)
E = Electric field strength (100.0 N/C)
d = distance between places (0.02 m)
Plug in the values and solve.
[tex]V = (100)(0.02) = \boxed{2 V}[/tex]
Which statement belongs to daltons atomic theory
Atoms cannot be broken down into smaller pieces is the statement belongs to daltons atomic theory. Option B is correct.
What is an atom?The atom consists of matter that may be split without releasing electrical charges. It's also the smallest unit of matter with chemical element features.
The complete question is:
"Which statements belong to Dalton's atomic theory? Select all that apply.
A)Atoms cannot be created or destroyed.
B)Atoms cannot be broken down into smaller pieces.
C)All atoms of an element are identical.
D)Chemical reactions cause atoms to be rearranged."
According to Dalton's atomic hypothesis, atoms cannot be broken down into smaller bits.
Hence, option B is correct.
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If you know that the period of a pendulum is 1.87 seconds, what is the length of that pendulum? (assume that we are on earth and that gravity is 9.81 meters/second². ) a. 0.87 centimeters b. 2.1 meters c. 1.6 meters d. 0.87 meters e. 8.3 meters
Answer:
d. 0.87 meters
Explanation:
You want to know the length of a pendulum whose period is 1.87 seconds.
PeriodThe formula for the period of a pendulum in terms of its length is ...
T = 2π√(L/g)
LengthSolving for length, we have ...
T/(2π) = √(L/g) . . . . . . . divide by 2π
(T/(2π))² = L/g . . . . . . . square both sides
gT²/(4π²) = L . . . . . . . multiply by g
For the given period and value of g, we find the length to be ...
L = 9.81·(1.87/π)²/4 ≈ 0.87 . . . . meters
The length of the pendulum is about 0.87 meters.
Answer: d. 0.87 meters
Explanation: plato :)
5. Calculate the volume of a cube with the following measurements.
Length= 5 cm
Height = 10 cm
Width = 16 cm
O 31 cubic cm
50 cubic cm
O 800 cubic cm
O400 cubic cm
Olivia is on a swing at the playground.
A girl is swinging on a swing set. At W she is about 45 degrees up and to the left. At X she is near the bottom of the swing just to the left. At Y she is near the bottom of the swing just to the right. At Z she is about 45 degrees up and to the right.
If the swing is moving from W to Z, at which point is her kinetic energy increasing and her potential energy decreasing? (based on a starting point of W)
W
X
Y
Z
Mark this and return Save and Exit Next Submit
Olivia is on a swing at the playground. The kinetic energy is increasing and her potential energy decreasing at point X.
What is kinetic energy and potential energy?The kinetic energy of an object is the ability to do work by virtue of its motion and potential energy is the ability to do work by virtue of its position.
At point W and Z, Olivia is at the maximum displacement from the mean position, where kinetic energy is zero and potential energy is maximum.
At point Y, it is approaching to increase its potential energy and decreasing kinetic energy. Opposite to this, at point X, kinetic energy is increasing and potential energy is decreasing.
Thus, the kinetic energy is increasing and her potential energy decreasing at point X.
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For an object on a flat surface, the force of gravity is 15 newtons downward and the normal force is 15 newtons upward. The applied force is 10 newtons toward the left and the frictional force is 8 newtons toward the right. What is the magnitude and direction of the net force?
2 newtons toward the right
2 newtons upward
2 newtons toward the left
2 newtons downward
Answer:
There is a net force of 2 N to the left.
With 8 N to the left the up/down and left/right forces are in balance.
The force left over is 2 N to the left.
Please answer if you know :)
Answer1. :(20/25)*200/*25 2. Increase the radius or apply the force perpendicular to the wrench
Explanation:torque =force*distance*sine of the angle between applied force and axis of wrench
Why does a balloon shrink in cold water?
Answer:
The balloon shrank because the average kinetic energy of the gas molecules in a balloon decreases when the temperature decreases. This makes the molecules move more slowly and have less frequent and weaker collisions with the inside wall of the balloon, which causes the balloon to shrink a little.
Explanation:
Not only does it shrink in cold water but it shrinks in the cold itself.
Hope this helps!!
17. what does it mean if a personality
test is reliable?
a. a reliable test will give consistent
results over time.
b. a reliable test reveals forgotten
experiences.
c. a reliable test has strong personal
bias.
d. a reliable test accurately predicts?
your actions.
A Personality test is said to be reliable because (A). a reliable test will give consistent results over time.
Meaning of Personality testPersonality test can be defined as a test that can be used to verify or ascertain an individuals personality.
Personality test is a test that is carried out by different organizations to help to help them know the individuals in that organization and to help others know how to relate and work with them.
In conclusion, A Personality test is said to be reliable because a reliable test will give consistent results over time.
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Answer:
a.
Explanation:
As stream discharge increases ________. only velocity increases velocity, width, and depth increase velocity, width, and depth decrease only depth increases
As stream discharge increases, only velocity increases.
What is discharge?The discharge or volume flow rate is defined as the product of the velocity of the fluid and the area of cross- section of the pipe or tube.
Discharge Q = Area A x Velocity V
Q = AV
The discharge is directly proportional to the velocity of the fluid. When discharge increases, velocity is the only physical quantity that can be changed.
Thus, As stream discharge increases, only velocity increases.
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A 950-kg car strikes a huge spring at a speed of 22m/s (fig. 11-54), compressing the spring 5.0m. (a) what is the spring stiffness constant of the spring? (b) how long is the car in contact with the spring before it bounces off in the opposite direction?
(a) The spring stiffness constant of the spring is 18,392 N/m.
(b) The time the car was in contact with the spring before it bounces off in the opposite direction is 0.23 s.
Kinetic energy of the carThe kinetic energy of the car is calculated as follows;
K.E = ¹/₂mv²
K.E = ¹/₂ x 950 x 22²
K.E = 229,900 J
Stiffness constant of the springThe stiffness constant of the spring is calculated as follows;
K.E = U = ¹/₂kx²
k = 2U/x²
k = (2 x 229,900)/(5)²
k = 18,392 N/m
Force exerted on the springF = kx
F = 18,392 x 5
F = 91,960 N
Time of impactF = mv/t
t = mv/F
t = (950 x 22)/(91960)
t = 0.23 s
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the unit of energy is a derived unit give reasons.
Answer:
ioinl
Explanation:
Thanks for helping!!!------>
a 15.3 g bullet moving with a speed of 372 m/s. Answer in units of kg · m/s.
Answer:
56.916 kg m/s
Explanation:
Convert g to kg 15.3 g = .153 kg
.153 kg * 372 m/s = 56.916 kg*m/s
At 6: 00 am, a motorbike set off from town A to town B at a speed of 40km/h. At the same time, a car set off from town B to town A at a speed of 60km/h. What time did they meet
Answer:
One would need to know how far apart the towns are:
T = SA / 40 time it takes for first cyclist to travel S1
T = SB / 60 time it takes for cyclist B to travel distance S2
SA + SB = S the distance between the towns
SB = 60 / 40 SA = 1.5 SA
SA + 1.5 SA = S
S = 2.5 SA where cyclist travels distance SA
The time will depend on the separation of the towns.