The statement that most fossil fuel deposits were formed from the organisms living during the Cretaceous period of Earth's geologic history is True.
For the Oil/tar question, the correct choice is: None of these answers are correct.
The Mesozoic Era includes the Cretaceous Period. Eustatic sea level rise during this period, which led to mild temperatures and shallow inland waters, is what caused the production of fossil fuels. In these shallow waters during this time, there were marine reptiles and ammonites. Large organic particles known as plankton have fallen to the ocean floor. Additionally, there were significant deposits of organic materials in the middle of the Cretaceous period. For all of these facts, we may conclude that the Cretaceous period produced 29% of all known oil and gas resources.
Oil/tar sands are sedimentary deposits made up of a combination of sand, clay, water, and bitumen, a viscous, heavy type of petroleum. They can be found in particular places like Canada and Venezuela. Unconventional oil reserves are a common name for these formations. Complex procedures, such as mining and separation techniques, are used in the extraction and processing of oil/tar sands in order to extract the bitumen and transform it into useful petroleum products.
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A 3.2 kg ball that is moving straight upward has 17 J of kinetic energy and its total mechanical energy is 25 J.
Answer:
Height = 0.25 metres
Speed = 3.26 m/s
Explanation:
Kinetic energy = 17 joules
Mechanical energy = 25
Potential energy = 25-27 = 8
Potential energy PE = m*g*h
8 = 3.2x9.81xh
8 = 31.392h
We divide through by the value of h to get height
8/31.392 = h
h = 0.25 metres
We solve for speed = velocity
Kinetic Energy = 1/2mv²
17 = 0.5x3.2xV²
17 = 1.6v²
V² = 17/1.6
V² = 10.625
V = √10.625
Velocity = 3.26m/s
Your velocity is given by v(t) = t^2 + 6 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=5. Use an overestimate with data every one second
The overestimated distance traveled between t=0 and t=5 is 158 meters.
To estimate the distance traveled, we can use the trapezoidal rule to approximate the area under the curve of the velocity function v(t). The trapezoidal rule divides the interval [0, 5] into subintervals with a width of 1 second and approximates each subinterval as a trapezoid. The formula for the trapezoidal rule is ∫[a,b] f(x) dx ≈ ∑[(i=1 to n)] [f(x_i-1) + f(x_i)] * Δx / 2, where Δx is the width of each subinterval.
Using this formula, we can calculate the overestimated distance traveled:
s ≈ [f(0) + 2f(1) + 2f(2) + 2f(3) + 2f(4) + f(5)] * Δt / 2
≈ [0 + 2(1^2 + 6) + 2(2^2 + 6) + 2(3^2 + 6) + 2(4^2 + 6) + (5^2 + 6)] * 1 / 2
≈ 158 meters.
This provides an overestimate of the distance traveled between t=0 and t=5.
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if the current is 0.4 A for the 20 ohm resistor, what is the value for the potential difference? ii) Would it be different for the 30 ohm resistor or the same?
Answer:potential difference is more or less like voltage. Using ohms, V=IR
Where V is Voltage
I is Current =0.4A
R is Resistance=20ohms
V=0.4*20
V=8V
Hence the potential difference will be 8V.
ii) V=0.4*30
V=12V
Explanation:
The voltage of potential difference is directly proportional to the current and the resistance. So if one increase or decrease, it will have impact on the other.
From the calculations, when the resistance increase, the voltage will increase to appreciate the change.
An engine produces 240 KJ of energy in 2.0 minutes. What is the power output of the engine?
Question 9 of 25
Which term describes something that changes during an experiment?
OA Variable
OB. Vector
OC. Data
OD. Hypothesis
Answer:
C
Explanation:
Explain how a thermal cycler help the process of PCR can be used in the identification of a disease pathogen?
A thermal cycler is used in the process of PCR to amplify DNA samples, which can then be used to identify disease pathogens through genetic testing.
PCR, or polymerase chain reaction, is a laboratory technique used to amplify and copy DNA samples. It involves the use of a thermal cycler, which rapidly cycles through different temperatures to facilitate the various steps of the PCR process. The thermal cycler heats and cools the reaction mixture containing the DNA sample and other reagents, causing the DNA to denature, anneal, and elongate in a repeating cycle. Once the DNA has been amplified, it can be used in genetic testing to identify the presence of specific disease pathogens, such as viruses or bacteria, by comparing the amplified DNA sequence to known pathogen sequences.
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An Alaskan rescue plane traveling 39 m/s drops a package of emergency rations from a height of 198 m to a stranded party of 3 explorers. The acceleration of gravity is 9.8 m/s 2 . Where does the package strike the ground relative to the point directly below where it was released? Answer in units of m.
What is the horizontal component of the velocity just before it hits?
What is the vertical component of the velocity just before it hits? (Choose upward as the
positive vertical direction)
Answer:
y = 0m
y0 = 166m
v0y = 0 m/s
g = 9.8 m/s^2
t = ?
Solve for t:
y = y0 + v0y*t - (0.5)gt^2
0 = 166 - (0.5)(9.8)t^2
t = 5.82 s
Now, using time, we can solve for the range using the equation:
x = vx(t)
x = (40)(5.82)
x = 232.8 m
The impact horizontal component of velocity will be 40 m/s as velocity in terms of x is always constant. To find the impact vertical component of velocity, we use the equation:
v = v0y - gt
v = 0 - (9.8)(5.82)
v = -57.04 m/s
i still. don't get the answer is help me pls
What is the difference between a unit and a variable?
Explanation:
a variable In algebra, a symbol (usually a letter) standing in for an unknown numerical value in an equation.
a unit In math, the word unit can be defined as the rightmost position in a number or the one's place
Low-energy lightbulbs currently cost $3.60, have a life of 9 years, and currently use $2.00 of electricity per year. Conventional lightbulbs are cheaper to buy; they currently cost only $0.60. On the other hand, they last only 1 year and currently use $7.00 of electricity per year. If the real discount rate is 4%, what are the EACs for each lightbulb? Which lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb? a. EAC( Low-energy lightbulb )=2.48 EAC( Conventional lightbulb )=7.62 Low-energy lightbulb is cheaper to operate b. EAC( Low-energy lightbulb )=3.60 EAC( Conventional lightbulb )=0.60 Conventional lightbulb is cheaper to operate c. EAC( Low-energy lightbulb) =2.00 EAC( Conventional lightbulb )=7.33 Low-energy lightbulb is cheaper to operate d. EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate
EAC( Low-energy lightbulb )=18.47 EAC( Conventional lightbulb )=7.33 Conventional lightbulb is cheaper to operate. Option D
Energy cost calculationTo calculate the Equivalent Annual Costs (EAC), we need to consider the initial cost, maintenance costs, and the present value of future costs, taking into account the discount rate.
The EAC (Equivalent Annual Cost) is calculated by summing up the annual costs of the lightbulb over its lifetime, discounted at the real discount rate of 4%.
For the low-energy lightbulb:
EAC = Cost of bulb + Present value of annual electricity cost
= $3.60 + ($2.00 / (1 + 0.04)^1) + ($2.00 / (1 + 0.04)^2) + ... + ($2.00 / (1 + 0.04)^9)
≈ $18.47
For the conventional lightbulb:
EAC = Cost of bulb + Present value of annual electricity cost
= $0.60 + ($7.00 / (1 + 0.04)^1) + ($7.00 / (1 + 0.04)^2) + ... + ($7.00 / (1 + 0.04)^1)
≈ $7.33
Since the EAC for the low-energy lightbulb is $18.47 per year and the EAC for the conventional lightbulb is $7.33 per year, the conventional lightbulb is cheaper to operate assuming a burnt-out bulb is replaced by an identical bulb.
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What statement best describes what happens when a pitcher throws a baseball with different amounts of force?
A.The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
B.The mass of the baseball never changes and therefore neither does the acceleration of the baseball.
C.The mass of the baseball never changes so the more force in the pitchers arm, the lower the acceleration of the baseball before it leaves the pitcher's hand.
D.Baseballs do not accelerate as they go through the air.
Newton's second law allows us to find that the correct answer is:
A) The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
Newton's second law gives a relationship between force and the product of mass and acceleration of the body
F = m a
Where F is the force, m the mass and the acceleration of the body. The bold indicate vectors
The baseball ball is a solid body that has a fixed mass, therefore the pitcher uses different forces in the arm, the acceleration must change proportionally, as the force increases, the acceleration must increase (fastball).
Let's review the different claims
A) true. These statements are in accordance with Newton's second law
B) False. If the force changes any of the other two parameters must change
C) false. Force and acceleration are proportional
D) False. When the ball is in the air it is subjected to the acceleration of gravity
With Newton's second law we find that the correct answer is:
A) The mass of the baseball never changes so the more force in the pitchers arm, the higher the acceleration of the baseball before it leaves the pitcher's hand.
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A 75 kg object is moved a distance of 44 m with a force of 55 N at an angle of 53 above the horizontal. How much work is done?
To move a distance of 44 m Work is done 1456.4 Joule.
What is work?A force must be applied and there must be movement in the force's direction for a work to be done scientifically. Having said that, we may state that: Work is the product of the displacement's magnitude and the component of force acting in that direction.
Mass of the object: m = 75 kg.
Force applied on it: F = 55 N.
Angle of applied force: α = 53°
Displacement: d = 44 m
Hence, work done: W = Fd cosα = 55 N × 44 m × cos53° Joule = 1456.4 J.
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Which is an action that can cause an object to move or change its state of motion?
A. Energy
B. Force
C. Equilibrium
D. Inertia
Answer: B. Force
yes the answer is force
Explanation:
Force is a push or pull which can change the state of body whether it is rest or in motion or tries to change the state of body.
The position of a particle in millimeters is given by s=102−23t+t ^2 where t is in seconds. Plot the s-t and v-t relationships for the first 17 seconds. Determine the net displacement Δs during that interval and the total distance D traveled. By inspection of the s-t relationship, what conclusion can you reach regarding the acceleration? Answers: Δ5= mm D= mm
The given position equation of a particle is, s=102−23t+t2Here, t is in seconds.The first derivative of s is its velocity: v = ds/dt - 23 + 2tThe second derivative of s is the particle's acceleration:
The total distance traveled is the sum of all distance travelled in each interval of time: D = ∫|v|dt + ∫|v|dt + ... (From t 0 s to t = 17 s)From the graph of the velocity, the particle is moving to the left and toward the right side. The velocity-time graph is linear, which means that the acceleration is constant and uniform. Hence, the conclusion we can draw is that the particle is moving with uniform acceleration. a = dv/dt = 2The given equations are: s=102−23t+t2v
=−23+2ta
=2Plot of s-t and v-t graphs:
Net displacement (Δs) during the interval of 17 seconds can be calculated as:Δs = s(17) - s(0)Δs
= 102 - (2 × 3² / 2) - (23 × 3) + (17² / 2) - 102Δs
= -4 mmThe particle moves to the left side.
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What is the density of a substance that has a mass of 10 grams and volume of 15cm3
1.5 gram per cubic centimeter
What is the average age at which children can achieve a certain score on an intelligence test known as?
a.
iq
b.
grade level
c.
aptitude score
d.
mental age
Children can obtain a particular score on an intelligence test called IQ.
What exactly is an IQ test?An IQ test is a cognitive ability evaluation that delivers a score that is meant to act as a measure of an individual's intellectual aptitude and potential. IQ tests are among the most commonly used psychological assessments.
IQ stands for intelligence quotient and is defined as "a form of standard score that reflects how far above, or far below, his/her peer group an individual stands in mental capacity" by Mensa International, an association for those with IQs in the top 2%.
IQ is a general test for all the age group.
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Why is creativity important in constructing scientific questions?
A. Science only works when everyone does exactly the same thing.
B. Creativity is the only way to make a controlled experiment.
C. There are very few scientists who are creative people.
D. Asking an unusual question can lead to major breakthroughs.
Science does not work when every one does the same thing, some creative thinking will be major breakthroughs for an invention. Therefore, option B is correct.
Why creativity plays a role in scientific experiments ?So how do researchers come up with those particular questions to look into ! It may come as a shock to learn how much imagination is required for the procedure.
Peter Medawar, a Nobel Prize-winning biologist, once described scientific inquiry as "the art of the soluble" In order to succeed in science, one must first identify the questions that may be answered by scientific study and then determine the answers to those questions, according to Medawar.
Because of how intricate the natural world is, it is frequently impossible to directly address the really intriguing, significant scientific topics
The art of science includes repeatedly re-imagining these complex issues, mentally dividing them into more manageable components, and then guessing as to which of these more manageable components might hold the answer to solving the larger issue.
Therefore, all the discoveries and inventions are resulted from the creative ideas and thoughts of scientists. Therefore, creativity is the only way to make a controlled experiment.
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Mike is working hard at marching band practice on a hot Saturday afternoon. He has flushed moist skin and sharp pain in his legs. What heat illness is he most likely experiencing? (3 points)
a
Heat cramps
b
Heat exhaustion
c
Heat stress
d
Heat stroke
Answer:
Based on the symptoms described, Mike is most likely experiencing heat cramps. Heat cramps are painful, involuntary muscle spasms that usually occur during heavy exercise in hot environments. The sweating that occurs causes the body to lose salts and minerals, which can result in cramping. The symptoms include muscle pain or spasms usually in the abdomen, arms, or legs, which matches the symptoms Mike is experiencing.
What does it mean to influence government?
at+waht+temperature+must+you+run+this+reaction+to+achieve+97%
Temperature is the degree of hotness or coldness of an object or substance. The SI unit of temperature is Kelvin."97%": The question suggests that a reaction must be run at a specific temperature to achieve 97% yield or completion. Yield refers to the amount of product obtained from a reaction.
To achieve 97% yield or completion, the reaction must be run at a specific temperature. Temperature plays an essential role in chemical reactions since it affects the rate of reaction, activation energy, and equilibrium. The temperature at which a reaction runs optimally, producing the most product, is known as the reaction's optimum temperature. As a result, the temperature must be controlled during a chemical reaction.To achieve 97%, the reaction must be run at a specific temperature.
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Which of the following has the most kinetic energy?
A. stretching a rubber band
B. a jet flying through the air
C. throwing a paper airplane
D. pitching a baseball
A 1.80 kg monkey wrench is pivoted 0.250 m from its center of mass and allowed to swing as a physical pendulum. The period for small-angle oscillations is 0.940 s. Correct Correct answer is shown. Your answer 0.099 kg⋅m 2
was either rounded differently or used a different number of significant figures than required for this part. Part B If the wrench is initially displaced 0.400rad from its equilibrium position, what is the angular speed of the wrench as it passes through the equilibrium position? Express your answer in radians per second.
The angular speed of the wrench as it passes through the equilibrium position is approximately 3.17 radians per second.
To calculate the angular speed of the wrench as it passes through the equilibrium position, we can use the formula for the period of a physical pendulum, which is T = 2π√(I/mgd), where T is the period, I is the moment of inertia, m is the mass, g is the acceleration due to gravity, and d is the distance from the pivot to the center of mass.
Given:
Mass of the wrench (m): 1.80 kg
Period of small-angle oscillations (T): 0.940 s
Displacement from equilibrium (θ): 0.400 rad
First, we need to find the moment of inertia (I) of the wrench. The correct answer provided is 0.099 kg·m^2.
Now, we can use the formula T = 2π√(I/mgd) to solve for the angular speed (ω).
Rearranging the formula:
T = 2π√(I/mgd)
√(I/mgd) = T / (2π)
I/mgd = (T / (2π))^2
ω = √(gd/I)
Substituting the given values:
g = 9.8 m/s^2 (acceleration due to gravity)
d = 0.250 m (distance from pivot to center of mass)
I = 0.099 kg·m^2 (moment of inertia)
ω = √(9.8 * 0.250 / 0.099) ≈ 3.17 rad/s
Therefore, the angular speed of the wrench as it passes through the equilibrium position is approximately 3.17 radians per second.
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Drop a book and a piece of paper side by side. Now, put the piece of paper flat on top of the
book and drop them together. Explain what happens and why it happens.
The magnetic field inside a 5.0-cm-diameter solenoid is 2.0 T and decreasing at 4.20 T/s.
a) What is the electric field strength inside the solenoid at a point on the axis?
b) What is the electric field strength inside the solenoid at a point 1.60 cm from the axis?
chatgpt
a) To determine the electric field strength (E) inside the solenoid at a point on the axis, we can use Faraday's law of electromagnetic induction, which states that the rate of change of magnetic field (dB/dt) induces an electric field. The formula to calculate the electric field strength is:
E = -dB/dt
Given that the magnetic field (B) is decreasing at a rate of 4.20 T/s, we can substitute this value into the formula:
E = -(4.20 T/s)
Therefore, the electric field strength inside the solenoid at a point on the axis is -4.20 T/s.
b) To find the electric field strength (E) inside the solenoid at a point 1.60 cm from the axis, we can use Ampere's law, which relates the magnetic field and electric field strength inside a solenoid. The formula is:
B = μ₀nI
Where:
B is the magnetic field,
μ₀ is the permeability of free space (4π × 10^(-7) T m/A),
n is the number of turns per unit length,
I is the current passing through the solenoid.
To find the electric field, we need to determine the current passing through the solenoid. Given that the solenoid's diameter is 5.0 cm, we can calculate its radius (r):
r = diameter / 2 = 5.0 cm / 2 = 2.5 cm = 0.025 m
We know that the magnetic field (B) at the given point on the axis is 2.0 T. Therefore, using the formula for magnetic field inside a solenoid:
B = μ₀nI
We can rearrange the formula to solve for the current (I):
I = B / (μ₀n)
The number of turns per unit length (n) can be calculated from the given diameter (d) of the solenoid:
n = 1 / d = 1 / 0.05 m = 20 turns/m
Substituting the values into the current formula:
I = 2.0 T / (4π × 10^(-7) T m/A × 20 turns/m)
Simplifying the expression:
I ≈ 79577.47154 A
Now, we can calculate the electric field (E) at a point 1.60 cm from the axis using the formula:
E = B × r / (2πε₀r)
Where:
B is the magnetic field (2.0 T),
r is the distance from the axis (1.60 cm = 0.016 m),
ε₀ is the permittivity of free space (8.854 × 10^(-12) C²/N m²).
Substituting the values into the formula:
E = 2.0 T × 0.016 m / (2π × 8.854 × 10^(-12) C²/N m² × 0.016 m)
Simplifying the expression:
E ≈ 14.2857 × 10^10 N/C
Therefore, the electric field strength inside the solenoid at a point 1.60 cm from the axis is approximately 14.2857 × 10^10 N/C.
1. The magnetic field inside a tube-shaped object called a solenoid is getting smaller.
2. We want to find the electric field strength at different points inside the solenoid.
3. At a point on the center line of the solenoid, the electric field strength is found by multiplying the rate at which the magnetic field is decreasing by -1.
4. In this case, the magnetic field is decreasing at a rate of 4.20 Tesla per second, so the electric field strength is -4.20 Tesla per second.
5. At a point 1.60 cm away from the center of the solenoid, we need to use a different formula.
6. First, we calculate the current passing through the solenoid, which is a measure of how much electricity flows through it.
7. Then, using the current and other values, we find that the electric field strength at this point is approximately 14.2857 × 10^10 Newton per Coulomb (N/C).
Math part:
Formula for electric field strength inside a solenoid on the center line:
E = -dB/dt
Formula for electric field strength inside a solenoid away from the center line:
E = B × r / (2πε₀r)
1. We have an equation that helps us find the strength of an electric field at a certain point.
2. The equation is E = -dB/dt.
3. In this equation, E represents the electric field strength.
4. dB represents how much the magnetic field is changing.
5. dt represents the time it takes for the change to happen.
6. By using this equation, we can figure out the electric field strength by dividing the change in the magnetic field by the time it takes for the change to occur.
7. It is important to watch the signs in this equation because the negative sign (-) shows that the electric field and the change in the magnetic field have opposite directions.
1. We have an equation that helps us find the strength of an electric field at a certain point.
2. The equation is E = B × r / (2πε₀r).
3. In this equation, E represents the electric field strength.
4. B represents the magnetic field strength.
5. r represents the distance from the point to the source of the magnetic field.
6. The formula tells us that the electric field strength is found by multiplying the magnetic field strength by the distance from the point and then dividing it by a specific value (2πε₀r).
7. It's important to watch out for the r in both the numerator and denominator, as it cancels out when doing the calculation.
Math part:
Formula: E = B × r / (2πε₀r)
Think about a flashlight. When you turn it on, it creates a beam of light. The equation helps us calculate how bright the light is at a specific distance by considering the strength of the light (B), the distance from the flashlight (r), and dividing it by a specific value.
a) According to Faraday's law, a changing magnetic field induces an electric field. The electric field strength inside the solenoid at a point 1.60 cm from the axis B = 6.37x10^-3 T.
Therefore, the electric field strength inside the solenoid at a point on the axis can be calculated as follows:
E = -dΦ/dt
where Φ is the magnetic flux through a cross-section of the solenoid. The flux can be found using the equation:
Φ = BA
where B is the magnetic field strength, and A is the cross-sectional area of the solenoid. Therefore, we have:
Φ = πr^2B
where r is the radius of the solenoid. Plugging in the given values, we get:
Φ = π(2.5x10^-2 m)^2 x 2.0 T = 1.57x10^-3 Wb
Differentiating Φ with respect to time, we get:
dΦ/dt = -πr^2dB/dt = -π(2.5x10^-2 m)^2 x 4.20 T/s = -5.24x10^-6 Wb/s
Substituting in the equation for E, we get:
E = -dΦ/dt = 5.24x10^-6 V/m
b) The electric field strength inside the solenoid at a point 1.60 cm from the axis can be calculated using Ampere's law, which states that the line integral of the magnetic field around a closed loop is equal to the current enclosed by the loop times the permeability of free space. For a solenoid, the magnetic field is uniform inside and zero outside. Therefore, we can use a circular loop of radius 1.60 cm centered on the axis of the solenoid. The current enclosed by the loop is given by:
I = nAL
where n is the number of turns per unit length of the solenoid, A is the area of the loop, and L is the length of the solenoid. We have:
n = N/L = 200/0.05 m = 4000 m^-1 (since there are 200 turns in the 5.0-cm-diameter solenoid)
A = πr^2 = π(1.60x10^-2 m)^2 = 8.04x10^-4 m^2
L = πdN = π(5.0x10^-2 m)x200 = 31.4 m
Therefore,
I = 4000 m^-1 x 8.04x10^-4 m^2 x 31.4 m = 10.0 A
Using the equation for Ampere's law, we get:
∮B•ds = μ0I
where the line integral is taken around the circular loop. Since the magnetic field is uniform inside the solenoid, we can simplify the line integral as:
B∮ds = B(2πr) = BA
Substituting in the given values, we get:
B(2πx1.60x10^-2 m) = 2.0 T x π(2.5x10^-2 m)^2
Solving for B, we get:
B = 6.37x10^-3 T
Finally, the electric field strength inside the solenoid at a point 1.60 cm from the axis is given by:
E = Bv
where v is the velocity of the charged particle experiencing the force due to the electric field. Since we are not given any information about the particle, we cannot calculate the electric field strength.
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What is the mass of a student who weighs 582 Newton?
cha
Answer:59.3
Explanation:
The force due to gravity or weight is 582 N. The mass of a student is 59.39 Kg.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Force = mass.acceleration
582 = m*9.8
m = 59.39 Kg.
The force due to gravity or weight is 582 N. The mass of a student is 59.39 Kg.
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Write your answer to the question below.
-How do you think energy is transformed in the Drop Tower( ride in a amusement park)?
Answer:
Hi... Potential energy is converted to kinetic energy and kinetic energy is converted to potential energy
A string is wrapped tightly around a fixed reel that has a rotational inertia of 0. 0352 kg · m2 and a radius of 12. 5 cm. An object of mass 423 g is attached to the free end of the string. With the string vertical and taut, the object is gently released so it can descend under the influence of gravity. As the object descends, the string unwinds and causes the reel to rotate without friction at its axle. What is the speed of the object after it has fallen 1. 25 m?.
The speed of the object after it has fallen 1.25 m is 1.99m/s.
Take a look at the illustration bellow.
From the case, we know some informations that:
I = 0.0352kg.m²
r = 12.5cm = 0.125m
m = 423g = 0.423kg
h = 1.25m
First, let's focus to the fixed reel.
Because the reel is moving in a circular motion after the object is released, we will use the tourqe or rotational force concept, where:
τ = Iα
τ = FR
α = the angular acceleration (a/r)
I = moment inertia
F = Force
R = the position vector
If we look at the fixed reel, we know that the rope tension is working as a force that is pulling the reel to the right. Hence, we could write some equation based on the tourqe formula:
τ = Iα
Tr = Iα
Tr = I(a/r)
T = Ia/r² ... (i)
Next, we will focus on the object m.
The object m will move downward after being released. It will fulfill the Second Law of Newton:
∑F = m.a
W - T = m.a ... (ii)
We already have the equation (i) for T, then we could subtitute this equation into equation (ii):
W - Ia/r² = m.a
m.g - Ia/r² = m.a
m.g = a (m+I/r²)
\(a=\frac{mg}{(m+\frac{I}{r^{2} }) }\)... (iii)
After finding the equation (iii), we could find the acceleration of the system:
a = 0.423 x 10
(0.423 + 0.0352/(0.125²))
a = 4.23
2.6758
a = 1.58 m/s² ...(iv)
Then we will use the linear velocity concept to find the speed of the object after falling.
s = 1/2(at²) + v0t
Because the object is originally static, hence:
h = 1/2 (at²) + 0
h = 1/2 (at²)
1.25 = 1/2 (1.58t²)
t = 1.26s ... (v)
a = v1 - v0
t
1.58 = v1 - 0
1.26
v1 = 1.99m/s ... (vi)
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A person stands on the ground with a slingshot and tries to hit a high limb on a nearby tree. The limb is 18.3 feet above the ground. What is the minimum initial velocity in meters/second of a rock leaving the slingshot at 6 feet above the ground that would be able to reach the limb
The minimum initial velocity of the rock is V = 8.56 m/sec.
What is Conservation of Energy?According to the rule of conservation of energy, energy can only be transformed from one form of energy to another and cannot be created or destroyed. This indicates that unless energy is added from the outside, a system always has the same quantity of energy.
Calculate the rock's minimal initial velocity in meters/second as it exits the slingshot at a distance of 6 feet \($\left(h_{2}=6\right.ft.)\) above the ground.
Using the provided information, the net height of the limb is calculated as shown below.
\($$h &=h_{1}-h_{2}$$\)
h = 18.3 - 6
h = 12.3
Now, using the conservation of energy the minimum initial velocity of the rock is computed as shown below,
Kinetic energy of the rock = Potential energy the rock
\($$\begin{aligned}\frac{1}{2} m V^{2} &=m g h \\\frac{1}{2} V^{2} &=g h \\\frac{1}{2} V^{2} &=\left(32.1 \mathrm{ft} / \mathrm{s}^{2}\right)(12.3 \text { feet }) \\V &=\sqrt{2\left(32.1 \mathrm{ft} / \mathrm{s}^{2}\right)(12.3 \mathrm{feet})}\end{aligned}$$\)
V = 28.10 \(\frac{ft}{s}\).
The minimal initial velocity in meter/second is 8.56.
Therefore, the minimum initial velocity of the rock is 8.56 m/sec
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A marble was sent down a ramp into a solo cup. The first time the solo cup moved 20 cm. The second time the solo cup moved 24 cm. The third time the cup moved 16 cm. What is the average movement of the cup?
Answer:
20
Explanation:
The average of the movement is 20+24+16/2 = 20cm
Answer:
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Explanation:
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why has si system been developed? give reasons
Answer:
It allows people in different places and different countries to use the same units, avoid mistakes and understand each other more easily. The common base 10 of all units makes it easier and has more accurate calculations that are made without cumbersome conversion factors.
Answer:
Explanation:
As we know that the SI units are extended versions of the MSK system. SI system helps us to calculate the appropriate measurement of any quantity. SI system is convenient(easy) to use and it is also followed all over the world which can help in international trade as well. So, SI system been developed.
if you heat a gas so that collisions are continually bumping electrons to higher energy levels, when the electrons fall back to lower energy levels the gas produces
Answer:
emissions line spectrum