Answers
Hi there!
a)
We can use the equation t = √2d/g to solve. (Let's let g = 10 m/s²)
**How to get this equation**
We have the equation:
Δd = vit + 1/2at²
For freefall, we know that vi = 0, so we are left with:
Δd = 1/2at²
We know that a = g. Rearrange in terms of t:
2Δd / a = t²
Square root both sides:
√(2d/a) = t
Plug in the height and gravity:
t = √2(400)/10 = √800/10 = √80 ≈ 8.94 sec
b)
Find the final speed using the following formula:
vf = √2gd
**How to derive**
We know the equation:
vf² = vi² + 2ad
vi = 0, so:
vf² = 2ad
Square root both sides:
vf = √2ad
vf = √2(400)(10) = √8000 ≈ 89.44 m/s
Related Questions
Which statement describes friction?
Answers
Answer:
include the statements pls so i can choose wich one it is and tell you
Explanation:
Which of the following does not support the idea of continental drift
A) seafloor spreading
B) magnetic reversals
C) Pangaea
D) Play tectonics
Answers
Answer:
B or D
Explanation:
A place kicker must kick the football from a point [06] m from the goal and clear a bar 3.00 m above the ground. The ball leaves the ground with a speed of 20.0 m/s at an angle of 53.0 degrees above the horizontal. (a) By how much (m) does the ball clear (positive value) or fall short (negative value) of the cross bar? (This is vertical distance above or below the cross bar.) (b) When it gets to the cross bar, what is the vertical component of the ball’s velocity (m/s)? (Is it rising or falling-pay attention to the sign?)
Answers
Answer:
Explanation:
Horizontal component of initial velocity of throw = 20 cos 53 = 12 m /s
Vertical component = 20 sin 53 = 15.97 m /s
Distance to be travelled horizontally = 6 m .
time taken by ball to travel this distance = 6 / 12 = 0.5 s
vertical displacement during this period can be calculated as follows .
Initial vertical velocity = 15.97 m /s
time of travel = .5 s
acceleration = - 9.8 m /s²
s = ut - 1/2 g t²
= 15.97 x .5 - .5 x 9.8 x 0.5²
= 7.985 - 1.225
= 6.76 m
Goal post is 6 m high , so ball will cross the goal post .76 m or 76 cm above cross bar .
b ) vertical component of ball when it crosses the goal post . Let it be v .
v = u - gt
Applying this formula for vertical movement ,
v = 15.97 - 9.8 x .5
= 15.97 - 4.9
= 11.07 m /s .
Potassium-40 has a half-life of approximately 1.25 billion years. Approximately how many years will pass before a sample of potassium-40 contains one-eighth the original amount of parent isotope?
Answers
Answer:
3.75 billion years
Explanation:
From the question given above, the following data were obtained:
Half-life (t½) = 1.25 billion years
Number of half-lives (n) = 3
Time (t) =?
The time taken for the sample of potassium-40 to contains one-eighth the original amount of parent isotope can be obtained as:
n = t / t½
3 = t / 1.25
Cross multiply
t = 3 × 1.25
t = 3.75 billion years.
Therefore, it will take 3.75 billion years for the sample of potassium-40 to contains one-eighth the original amount of parent isotope
a cart travels 3.00 meters east and then 4.00 meters north. the magnitude
Answers
Answer: 5 m
Explanation:
X^2= 9+16
X = 5
According to pythagoras law
which is the correct formula for calculating the age of meteor right if using half life
Answers
Answer:
n × t_1/2
Exmplanation:
The age of meteorite is calculated by multiplying it's quantity n with the half life . This means that the formula is for age of this meteorite is;
Age of meteorite= n × t_1/2
where;
n = quantity of the meteorite
t_/2 = half life of the meteorite
Thus:
The correct formula is; n × t_1/2
Please explain thoroughly and show work if needed! Thank youuu :) -If the period of a pendulum decreases from 8 seconds to 2 seconds, how will that affect the frequency of the pendulum?
Answers
Answer:
Physics
Explanation:
The period of a pendulum is the time it takes for the pendulum to complete one full oscillation, or swing back and forth. The frequency of a pendulum, on the other hand, is the number of oscillations it completes in one second. The frequency is calculated by taking the reciprocal of the period, or 1/period.
If the period of a pendulum decreases from 8 seconds to 2 seconds, it means that the pendulum is swinging back and forth more quickly, as it is taking less time to complete one full oscillation. To find the new frequency of the pendulum, we can use the formula:
frequency = 1 / period
Initially, when the period was 8 seconds, the frequency was:
frequency = 1 / 8 = 0.125 Hz
After the period decreased to 2 seconds, the new frequency can be calculated as:
frequency = 1 / 2 = 0.5 Hz
So, the frequency of the pendulum increases from 0.125 Hz to 0.5 Hz when the period decreases from 8 seconds to 2 seconds. This means that the pendulum is oscillating at a faster rate, completing more oscillations in one second.
What are the messing forces that would make the object be in equilibrium?
Answers
Answer:
A) 20 N, B) 20 N, & C) 8 N
Explanation:
For the object to be in equilibrium, the upward forces must be equal to the downward forces and the forward forces must be equal to the backward forces.
1. Determination of A and B.
Forward forces = Backward forces
A + 10 + B = 25 + 25
A + 10 + B = 50
Collect like terms
A + B = 50 – 10
A + B = 40
Assume A and B to be equal. Thus, A is 20 N and B is 20 N.
2. Determination of C
Upward forces = Downward forces
C + 112 = 20 + 100
C + 112 = 120
Collect like terms
C = 120 – 112
C = 8 N
Thus, for the object to be in equilibrium, A must be 20 N, B must be 20 N and C must be 8N.
What is the SI unit of measurement for mass?
Answers
Answer:
kilogram
Explanation:
Answer:
kilogram!
Explanation:
why does water level fall initially after it is heated
Answers
Answer:
dont ask me
Explanation:
2. Gerard is riding his bicycle directly east. His maximum
instantaneous velocity was 8 meters per second and his
minimum instantaneous velocity was 0 meters per second. He
covered 7.20 kilometers in 20.0 minutes. What is his average
velocity for the ride?
Answers
Gerard's average velocity for the ride is 6 meters per second.
To find Gerard's average velocity for the ride, we can use the formula:
Average velocity = Total displacement / Total time
First, we need to convert the distance traveled from kilometers to meters:
7.20 kilometers * 1000 = 7200 meters
Next, we convert the time from minutes to seconds:
20.0 minutes * 60 = 1200 seconds
Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:
Total displacement = 7200 meters
Finally, we substitute the values into the average velocity formula:
Average velocity = 7200 meters / 1200 seconds
Average velocity = 6 meters per second
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A surface is bombarded by particles, each of mass small 'm', which have velocity
normal to the surface. On average, n particles strike unit area of the surface each second
and rebound elastically. What is the pressure on the surface?
A. nmv
B. 2nmv
C. nmv²
D. 1/2nmv²
Answers
Answer:
B. 2nmv
Explanation:
Pressure is force over area.
P = F / A
Force is mass times acceleration.
F = ma
Acceleration is change in velocity over change in time.
a = Δv / Δt
Therefore:
F = m Δv / Δt
P = m Δv / (A Δt)
The total mass is nm.
The change in velocity is Δv = v − (-v) = 2v.
A = 1 and Δt = 1.
Plugging in:
P = (nm) (2v) / (1 × 1)
P = 2nmv
write the equation to show how force and acceleration are related
Answers
F = ma, or force is equal to mass times acceleration, is the equation used in Newton's second law of motion to demonstrate the relationship between force and acceleration.
What is force and acceleration?A force pushes or pulls an object. The total of all forces acting on an object is known as the net force. An object will change speed in the direction of the net force when there is one applied to it. The object's acceleration reveals how much it accelerates or decelerates.
Newton's second law of motion explains the connection between force and acceleration. They are of the same size. The acceleration of an object rises by the same amount as the force being applied to it. Force is simply defined as mass times acceleration.
What is the acceleration force formula and Can you have acceleration without a force?Mass (kg) times acceleration (m/s2) equals force (N). Therefore, an object with constant mass will accelerate in direct proportion to the applied force.
There won't be any acceleration if there are no external forces operating on the object. The object will move at a constant speed if there is no acceleration. We may examine Newton's second law and the acceleration formula mathematically.
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order the list to describe the balls morion as it drops into the spring
Answers
The list in order that best describes the ball's motion as it drops into the spring is e, b, d, a, f and c.
The order is as follows:
e) The ball is dropped from rest and then negatively accelerates due to gravityb) The push from the spring exceeds the force of gravity. The ball momentarily comes to rest.d) Acceleration of the ball changes from negative to positive due to an upward push from the spring.a) The acceleration of the ball decreases as the spring extendsf) The ball leaves the spring with a large positive velocity. The acceleration is negative due to gravity.c) The velocity decreases due to negative gravitational acceleration.Option (e) come first because it the starting point. (b) comes next as the ball comes to rest as the spring is fully compressed. (d) comes next as the ball started its upward movement. (a) comes next as the spring is extending. (f) comes next as the ball has completely left the spring. (c) comes next as it indicates the balls movement after leaving the spring.+
Therefore, e, b, d, a, f and c is the correct order of explanation of the ball's movement.
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Riding a bicycle is this kind of long-term memory ______________
Answers
answer
procedural memory ❤
d) Suppose the person uses a different skateboard with a mass of 50 kg. Using the acceleration you
calculated for Road C, what would the new net force be?
Answers
250 Newton is net force .
mass= 50 kg
a= 5m/s²
force=ma
force=50×5
force=250 N
In mechanics, a force is any action that seeks to preserve, modify, or deform a body's motion. Isaac Newton's three principles of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the idea of force (1687).
Newton's first law states that unless a force is applied to a body, it will stay in either its resting or uniformly moving condition along a straight path. According to the second law, when an external force applies on a body, the body accelerates (changes velocity) in the force's direction.
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5.40 * 104 NS
6. A wooden ball with a mass of 0.45 kg is at rest when it is tapped by a wooden mallet that applies an
average force of 83 N to the ball. After contact with the mallet, the ball moves forward at 1.3 m/s. How
long was the mallet in contact with the ball?
A. 7.0 milliseconds
B. 3.7 milliseconds
C. 2.4 milliseconds
D. 0.59 milliseconds
Answers
Answer:
A. 7.0 milliseconds
Explanation:
We know the formula: Force = [mass( final velocity - initial velocity )] / time
using the formula:
83 = 0.45 ( 1.3 - 0 ) / time
time = ( 0.45 * 1.3 )/ 83
time = 0.585/83
time = 7.0 milliseconds
The time for the mallet in contact with the ball is 7 milliseconds.
To find the time , the given values are,
Mass = 0.45 kg
Force = 83 N
Final velocity = 1.3 m/s, Initial velocity = 0 m/s.
What is Force?According to Newton's second law of motion, Force is equal to mass that is multiplied by the acceleration.
F = m.a
where, F - Force
m - Mass
a - Acceleration
Here, Acceleration = ( Final velocity - Initial Velocity) / ( Time )
Acceleration can be defined as the change in velocity with respect to time.
Force = [mass( final velocity - initial velocity )] / time
Substituting the given values in the formula,
83 = 0.45 ( 1.3 - 0 ) / Time
Time = ( 0.45 * 1.3 )/ 83
Time = 0.585/83
Time = 7.0 milliseconds
Hence, Option A is the correct answer.
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Beams of light undergo construction interference when two different beams intersect to form one brighter beam of light . Which model of the nature of light dose this behavior?
Answers
Answer:the wave model
Explanation:
hans decides to test an idea that the atom is made of a soft positive substance with hard specks of negative substance (the electrons) embedded in it. he sets up an in which heavy positive particles will be fired into some gold atoms. hans will monitor how much these positive particles are deflected passing through the gold atoms.
Answers
He sets up experiment an in which heavy positive particles will be fired into some gold atoms.
The electron is a subatomic particle with a bad one standard electric charge. Electrons belong to the primary technology of the lepton particle own family, and are typically thought to be fundamental particles because they have no recognized additives or substructure.
For most realistic purposes, an electron is a structureless particle with an intrinsic angular momentum, or spin. simply two numbers — the electron's mass and its electric price — gasoline the equations that describe its behaviour.
By using the best values for the wave-length and the scattering by matter of tough X-rays and ?-rays, the radius of the electron is anticipated as approximately 2 × 10-10 cm.
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Brainlist!! Help!! The nucleus contains protons and neutrons. Being positively charged, the protons repel each other. The nucleus should fly apart due to the repulsive force. Yet, the nuclei of most atoms are stable - explain.
Answers
Answer:
The reason that the nucleus of most atoms does not fall apart despite the oppositely charged protons exerting a repulsive force on each other is the strong nuclear force.
What is the strong nuclear force?The strong nuclear force is one of the fundamental forces in nature that acts between protons and neutrons in the atomic nucleus. It is a short-range force that is much stronger than the electromagnetic force (which produces the repulsion between protons).
The strong nuclear force is responsible for holding the nucleus together.
Additionally, the ratio of protons to neutrons in a nucleus also affects its stability. Therefore, if there is an imbalance in this ratio, the repulsive force between the protons can become too strong, causing the nucleus to become unstable and undergo radioactive decay.
Overall, the nucleus remains stable due to the balance between the strong nuclear force and the repulsive force between the protons.
Use your knowledge of conjunction, disjunction, negation and truth tables to determine whether the argument is valid or invalid or unknown.
~( R · S )
~ R · P / ~ S
Answers
Using truth tables, we determined the validity of the argument ~(R · S) ~ R · P / ~ S. By examining the truth values of the expression ~ S · P, we found that it can be both true and false in different scenarios. Therefore, the argument is invalid.
To determine the validity of the argument ~(R · S) ~ R · P / ~ S, we can use truth tables. First, let's assign truth values to the variables:R: T (true) or F (false)
S: T (true) or F (false)
P: T (true) or F (false)Next, we can construct a truth table for the given argument:
R | S | P | ~(R · S) | ~ R | ~ S | ~(R · S) ~ R | ~ S · P |
--------------------------------------------------------
T | T | T | F | F | F | F | F |
T | T | F | F | F | F | F | F |
T | F | T | T | F | T | T | T |
T | F | F | T | F | T | T | F |
F | T | T | T | T | F | F | T |
F | T | F | T | T | F | F | F |
F | F | T | T | T | T | T | T |
F | F | F | T | T | T | T | F |By examining the truth values of the last column, ~ S · P, we can see that there are cases where it evaluates to both true and false. Therefore, the argument is invalid because it does not hold true in all possible scenarios.
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As the amount of charge on either of two charged objects increases, the electric force between the objects decreases.
O True O False
Answers
Answer:
False.
Explanation:
provided the distance between the forces remains the same, the force will increase with increased charge, whether attractive or repulsive.
A platinum resistance thermometer has resistances of 210.0 Ω when placed in a 0°C ice bath and 237.8 Ω when immersed in a crucible containing a melting substance. What is the melting point of this substance? (Hint: First determine the resistance of the platinum resistance thermometer at room temperature, 20.0°C.)
Answers
The resistance of a platinum resistance thermometer is 200 Ω at 0°C and 255.8 Ω at the melting point. Using the resistance-temperature relationship and calculations, the estimated melting point is approximately 19.93°C.
The resistance of a platinum resistance thermometer is 200 Ω when placed in a 0°C ice bath and 255.8 Ω when immersed in a crucible containing a melting substance. To determine the melting point of the substance, we need to calculate the temperature at which the resistance reaches 255.8 Ω.
First, we find the temperature coefficient of resistance (α) using the formula α = (R - R₀) / (R₀ * T), where R is the resistance at the melting point, R₀ is the resistance at 0°C, and T is the temperature at the melting point.
Substituting the given values, we have α = (255.8 - 200) / (200 * T₀), where T₀ is the known room temperature of 20°C.
Calculating α, we find α ≈ 0.014.
Next, we use the resistance-temperature relationship equation R = R₀(1 + αT) to solve for the melting point temperature (T). Substituting the known values, we have 255.8 = 200(1 + 0.014 * T).
Simplifying the equation, we find 1.279 = 1 + 0.014T.
Solving for T, we get T ≈ 19.93°C.
Therefore, based on the given data, the estimated melting point of the substance is approximately 19.93°C.
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What is the momentum of a 2000 kg truck traveling at 35 m s?
Answers
Momentum of the truck will be 70000 kg-m/s
Momentum can be defined as the impulse gained by a moving object.
Also it can be defined as the product of mass of the object with the velocity by which it is moving.Momentum can only be calculated when the body is in motion.The SI unit for momentum is kg-m/sIt is a vector quantity and has the direction same as that of the velocity of the object.It is represented by M and mathematically, M = Mass * VelocityMass of the truck = m = 2000 kg
Velocity of the truck = v = 35 m/s
Momentum = M = m * v
M = 2000 * 35
M = 70000 kg-m/s
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What do you picture in your mind when you read this simile?
Bolt runs as fast as lighting.
Bolt runs very fast.
Bolt runs in a straight line.
Bolt runs in a wavy manner.
Bolt's each step produces thunder.
Answers
When reading the simile "Bolt runs as fast as lightning," the most appropriate visual interpretation would be that "Bolt runs very fast."
This simile compares Bolt's speed to that of lightning, which is known for its incredible swiftness. The intention is to emphasize Bolt's exceptional speed by equating it to the rapid movement of lightning.
While the simile highlights Bolt's remarkable speed, it does not specify the manner in which he runs or the impact of each step. Therefore, the options suggesting Bolt runs in a straight line, in a wavy manner, or that each step produces thunder are not directly implied by the simile itself. These additional details go beyond the comparison of speed and introduce elements that are not explicitly mentioned.
Hence, the most accurate interpretation based solely on the simile is that Bolt runs very fast, comparable to the speed of lightning.
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A person standing on the roof of a building drops a 0.125 Kg ball on the ground. A
child on eight floor saw the ball passing with a speed of 33.1 m/s. The first floor of the building
is 12.0 m high and each successive floor is 8.00 m high. Determine the total numbers of floors
in the building. How fast was the ball falling just before it hit the ground? What was its kinetic
energy just before it hit the ground?
Answers
Answer:
V = a t velocity after time t
t = 33.1 / 9.80 = 3.38 sec (time ball had been falling)
S = 1/2 a t^2 = 55.9 m
So the ball had been falling for 7 * 8 = 56 m
The child was 7 floors from the top
Since he was on the eight floor the floors below him were
7 * 8 + 12 = 68 m total floors below child
68 + 56 = 124 m total height of building
Total floors in building = 7 + 7 + 1 = 15 floors
PE at top = KE at bottom
KE = m g h = .125 * 9.80 * 124 = 152 Joules
5) Unlike the five big mass extinctions in the geological record, the current wave of extinctions is
caused by
A.
Human activity
В. Volcanism
C.
Sea level changes
D.
Changes in ocean chemistry
E Asteroid impact
Answers
Answer:
B.Volcanism
Explanation:
Cause every time the current wave moves is causes and eruption
Unlike the five big mass extinctions in the geological record, the current wave of extinctions is caused by the Volcanism. Thus, the correct option is B.
What is the cause of Mass extinction?A mass extinction event is also known as biotic crisis. It is a widespread and rapid decrease in the biodiversity on the Earth which could be due to various reasons. Such an extinction event is identified by a sharp change or decrease in the diversity and abundance of multicellular organisms in an area.
Past mass extinctions on this planet were caused due to extreme temperature changes, rise or fall in the sea levels and catastrophic events, one-off events like a huge volcano erupting or an asteroid hitting the Earth. The current wave of extinctions is caused by volcanism.
Therefore, the correct option is B.
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A 1,100 kg car is traveling at 20 m/s as it begins going down a 40 m hill. What is its total mechanical energy?(1 point)
A 651,200 J
B 211,200 J
C 431,200 J
D 220,000 J
Answers
Answer: 651,200 J
Explanation:
The total mechanical energy of the car is determined as 651,200 J.
Option A is the correct answer.
What is the total mechanical energy of the car?
The total mechanical energy of the car is the sum of the kinetic energy and potential energy of the car.
Mathematically, the total mechanical energy of the car is given as;
M = K.E + P.E
where;
K.E is the kinetic energy of the carP.E is the potential energy of the carM = ¹/₂mv² + mgh
where;
m is the mass of the carv is the velocity of the carh is the height of the hillg is acceleration due to gravityThe given parameters include;
m is the mass of the car = 1,100 kgv is the velocity of the car = 20 m/sh is the height of the hill = 40 mg is acceleration due to gravity = 9.8 m/s²M = ¹/₂(1100)(20²) + (1100)(9.8)40)
M = 651,200 J
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A proton is released from rest at the positive plate of a parallel-plate capacitor. It crosses the capacitor and reaches the negative plate with a speed of 45000 m/s.
What will be the final speed of an electron released from rest at the negative plate?
Express your answer to two significant figures and include the appropriate units
V=_________
Answers
Answer:
2.1x10^6m/s
Explanation:
One electron has a charge of –1.602e-19 C
mass of electron is 9.1e-31 kg
mass of proton is 1.6726e−27 kg
mass ratio is 1.6726e−27 / 9.1e-31 = 1838
The force is constant, F
distance is constant, d
a = F/m
a increases by a factor 1838, as m decreases by that factor
a = a₀1838
v₀² = 2a₀d
v² = 2a₀d1838
v²/v₀² = 2a₀d1838 / 2a₀d = 1838
v² = 1838v₀² = 1838(45000)²
v = 45000√1838 = 2.1e6 m/s
Hello I would really like some help with this question! :)
Answers
Answer: A. Stereo speaker
Explanation:
Sound waves are mechanical waves because they require a material or medium for transmission of energy from one place to another. Since the stereo speaker produces sound, it produces mechanical waves. The correct option is
A. Stereo speaker