Two twins, Alice and Bob, are moving apart with constant velocity. Alice thinks Bob is moving and thus aging slower. Bob thinks Alice is moving and thus aging slower. Who is right
Answers
According to the theory of relativity, time dilation occurs as the speed of an object increases. As a result, Alice and Bob, who are moving apart at constant velocity, will both observe time moving more slowly for the other individual.The main answer:
Neither Alice nor Bob is correct in this situation. It is due to the concept of relativity where both Alice and Bob observe time dilation in the opposite direction. This means that each one sees the other as aging more slowly than themselves.Therefore, in terms of aging, it is impossible to determine who is moving and who is stationary based on these observations. This is because their relative velocity is the same, and the laws of physics are the same for both of them. Thus, it is impossible to say that one of them is aging slower than the other.However, if they were accelerating away from each other, then the twin who accelerates is considered to be moving, and that twin would age more slowly. This is due to the fact that the twin who is accelerating is experiencing a greater gravitational force than the other twin.
According to Einstein's theory of relativity, time dilation occurs as the speed of an object increases. Therefore, as Alice and Bob move away from one another, they will both experience time dilation. This means that both Alice and Bob will observe time moving more slowly for the other individual.In general, the laws of physics are the same for all observers moving at a constant velocity relative to one another. As a result, both Alice and Bob are moving relative to each other at a constant velocity, and each of them observes the other one as moving relative to themselves.Therefore, in terms of aging, it is impossible to determine who is moving and who is stationary based on these observations. This is because their relative velocity is the same, and the laws of physics are the same for both of them. Thus, it is impossible to say that one of them is aging slower than the other.
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Related Questions
How do we know how much gravitational force objects have?
Answers
Answer:
understand Newton's second law of motion,F is equal to ma where F is the force ,m is the mass of the object,a is acceleration
You are driving your motorcycle in a circle of radius 75 m on wet pavement. what is the fastest you can go before you lose traction, assuming the coefficient of static friction is 0.20?
Answers
On driving your motorcycle in a circle of radius 75 m on wet pavement, the fastest you can go before you lose traction, assuming the coefficient of static friction is 0.20 is 147m/s
Friction helps to maintain the slipping of the vehicle on the road hence lays a very important role.
Maximum velocity of a road with friction is given by the formula,
v = μRg
where, v is the maximum velocity
μ is the coefficient of static friction
R is the radius of the circle road
g is the acceleration due to gravity
Given,
μ = 0.20
R = 75m
g = 9.8m/s²
On substituting the given values in the above formula,
v = 0.20× 75 ×9.8
v = 147m/s
So, the Maximum velocity of the wet road is 147m/s.
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What are positive relationships of the great white shark called?
Answers
Answer:
parasitic relationship, mutualistic relationship, and the commensalistic relationship
Explanation:
those are what they are called
What process is represented by this redox equation ? 6H 2 O+6CO 2 C 6 H 12 O 6 +6O 2
Answers
Answer:
C. Photosynthesis
Explanation:
Photosynthesis is a process by which plants and photosynthetic bacteria obtain their food in presence of sunlight from water and carbon dioxide. They produce glucose as the food and oxygen is emitted as the byproduct. The equation for photosynthesis is - 6H2O+6CO2 → C6H12O6 + 6O2
Thus, the correct answer is 'C.Photosynthesis.'
a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. How much work was done by the dog ?
Answers
The work done by the dog is 0.81J.
What is work done?Work done is a measure of energy expended in moving an object; most commonly calculated by multiplying the force by the distance.
It is said that no work is done if the object does not move.
The work done on an object is the amount of energy transferred to an object through work.
According to this question, a dog lifts a 0.75 kg bone straight up through a distance of 0.11 m. The force applied to break the bone must be calculated first as follows:
Force = mass × acceleration
Force = 0.75kg × 9.8m/s²
Force = 7.35N
Work done = 7.35N × 0.11m = 0.81J
Therefore, 0.81J is the work done by the dog.
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PLEASE HELP, WILL MARK BRAINLIEST (real answers only please)
A 1.5 kg brick is sliding along a rough horizontal surface at 13 m/s. If the brick stops in 4.8 s, how much mechanical energy is lost?
127 J
140 J
135 J
117 J
Answers
Mechanical energy lost is 127 J So, Option 'A' is the correct answer to the following question.
Mechanical energy based problem:What information de we have?
Mass of brick = 1.5 kg
Velocity = 13 m/s
Time taken = 4.8 second
Mechanical energy lost = [KE(Final)] - [KE(Initial)]
Mechanical energy lost = [(1/2)(m)(v²)] - [(1/2)(m)(u²)]
Mechanical energy lost = [(1/2)(1.5)(0²)] - [(1/2)(1.5)(13²)]
Mechanical energy lost = 0.75 - [(1/2)(253.5)]
Mechanical energy lost = 0.75 - 126.75
Mechanical energy lost = 126 J or 127 J (Approx.)
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Minion fighter planes are launched from aircraft carriers with the aid of their own engines and a catapult. if in the process of being launched from rest, the thrust of a jet's engines is 2.10 105 n and after moving a distance of 90 m the plane lifts off with a kinetic energy of 4.70 107 j, what is the work done (in j) on the jet by the catapult?
Answers
Work done on the jet by the catapult is 3.31x10⁷j
We are given that,
Thrust = F = 2.10105N
As a result, the work performed by the engines and the catapult will be equal to the kinetic energy of the jet at takeoff. then the formula can be used to determine the work the jet did.
Work done by the engines = Force x Distance
Work done by the engines,
(2.10 X 10⁵J)x 90m = 1.89 x 10⁷J
Total kinetic energy = 5.20x 10⁷J
The total kinetic energy minus the work produced by the engines is the amount of work the catapult does on the jet.
Therefore the
work done on the jet by the catapult =( 5.20 X 10⁷J) -(1.89 X 10⁷) work done on the jet by the catapult = 3.31x10⁷j
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For a particular type of motion, the velocity is zero but the speed is a nonzero quantity. Which statement can you make about this motion
Answers
Answer:
because speed is the modulus of velocity which is a vector
the velocity to be zero it must be a round trip
Explanation:
This is because speed is the modulus of velocity which is a vector.
For the velocity to be zero it must be a round trip, therefore the resulting vector zero
On the other hand, the speed of the module is the same in both directions
A meteorite is DIFFERENT from a comet mainly because it
A) has a tail of ice and dust.
B) enters the Earth’s atmosphere.
C) has a nucleus made of snow and rock.
Eliminate
D) is found in orbit between Mars and Jupiter.
Answers
in circular motion there must be a centripetal force directed the center.target 1 of 4 at the bottom of the swing trajectory we can pretend you are in uniform circular motion, so the net force points toward the center of the circle.target 2 of 4 therefore, the swing must exert a force on you than the earth does in the downward direction.target 3 of 4 so, your apparent weight is your true weight.
Answers
The concepts used to solve this problem are force, apparent weight, true weight and circular motion.
When the object is at swing and at the bottom of the swing trajectory, we can predict that the object is in uniform circular motion. To maintain the circular motion, a force acts towards the center of the path. Hence, the object has two forces acting on it. The two forces are, force due to gravity and the centripetal force. At the bottom of the arc, the object requires a maximum force to hold it in its circular path.
Apparent weight defines the heaviness of a given object. When the force of gravity and normal force does not balance each other, the apparent weight of an object will differ from the weight of an object.
When an object is in uniform circular motion, it will experience a centripetal force towards the center of circular path.
The expression for force due to gravity is,
F = mg
The second one is centripetal force along with the force due to gravity which is exerted by swing directed upwards.
F = mg + mv²/r
Therefore, the swing must exert a larger force on the object in an upward direction than to the earth in the downward direction.
At the lowest point, the resultant force is,
Fr = N-mg
The resultant force supplies the centripetal force:
N=mg + mv²/r
Here, mg is the actual weight.
An additional centrifugal force also acts with the actual weight.
Therefore, the apparent weight is greater than true weight.
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1. How should you begin an exercise routine?
by increasing endurance
by eating
Hard right from the start
By stretching
2. True or False. You have to go to the gym to get exercise.
True
False
3. Which of the following is an advantage to exercising?
building stronger muscles and bones
increasing blood pressure
increasing body fat
4. Which of the following is an example of exercise?
riding your bike
watching basketball
playing chesss
Answers
Answer:
1. By streching
2. false
3. building stronger muscles and bones
4. riding your bike
Explanation:
The routine of exercise begins with the usual basic step of stretching the body.
What is meant by exercise ?An essential component of a healthy lifestyle is exercise. Exercise can help you cope with stress and prevent health issues while also enhancing energy and strength. It can also help you control your appetite and keep your weight in a healthy range.
Here,
1. The routine of exercise begins with the usual basic step of stretching the body.
2. People don't have to necessarily go to the gym to get exercise, because exercise includes the activities from the basic one to difficult methods. So, you can do some kind of exercise at the home itself. So, the statement is false.
3. An advantage to exercising is building stronger muscles and bones.
4. Riding your bike is an example of exercise.
Hence,
The routine of exercise begins with the usual basic step of stretching the body.
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And tell me I was holding a 1 pound bag of apples and his left hand and a 2 pound bag of apples in his right hand which sentences about this situation are true
Answers
Answer:
B. Antonio is applying a 1-pound force to hold the 1-pound bag. E. The mass of the bag in his left hand is less than the mass of the bag in his right hand.Explanation:
In order for one to carry something, they need to be exerting a force that is equal to the weight of the object. For Antonio therefore to hold the 1-pound bag, he needs to apply a 1-pound force.
Pounds measure the mass of an object. On his left hand Antonio has 1 pound and on the right he has 2. He is therefore carrying more mass on his right hand than on his left.
A student fires a cannonball vertically upwards with a speed of 22.0m/s from a height of 40.0m. On the descent, the cannonball misses the building and lands on the ground. Determine all unknowns and answer the following questions. Neglect drag and horizontal motion of the cannonball.What was the cannonball's maximum height (measured from the ground)? With what speed did the cannonball strike the ground? What was the cannonball's total flight time?
Answers
We are given that an object is launched with an initial height and we are asked to determine its maximum height. To do that we will determine first the time it takes the object to reach the maximum height which is given by the following formula:
\(t=\sqrt[]{\frac{2v_0}{g}}\)Where:
\(\begin{gathered} t=\text{ time for maximum height} \\ v_0=\text{ initial velocity} \\ g=\text{ acceleration of gravity} \end{gathered}\)Replacing the values we get:
\(t=\sqrt[]{\frac{2(22\frac{m}{s})}{9.8\frac{m}{s^2}}}\)Solving the operations we get:
\(t=2.12s\)Now, to determine the height associated with this time we will use the following formula:
\(h=h_0+v_0t-\frac{1}{2}gt^2\)Where:
\(h_0=\text{ initial height}\)In this case, the initial height is 40 meters. Replacing the known values:
\(h=40m+(22\frac{m}{s})(2.12s)-\frac{1}{2}(9.8\frac{m}{s^2})(2.12s)^2\)Solving the operations:
\(h=64.61m\)Therefore, the maximum height the ball reaches measured from the ground is 64.61 meters.
Now we are asked to determine the final velocity of the object. To do that, we will use the following formula:
\(2gh=v^2_f-v^2_0\)Where:
\(\begin{gathered} h=\text{ }initial\text{ height} \\ v_f=\text{ final velocity} \end{gathered}\)Now we solve for the final velocity first by adding the square of the initial velocity:
\(2gh+v^2_0=v^2_f\)Now we take the square root to both sides:
\(\sqrt{2gh+v^2_0}=v^{}_f\)Replacing the known values:
\(\sqrt[]{2(9.8\frac{m}{s^2})(40m)+(22\frac{m}{s})^2}=v_f\)Solving the operations:
\(35.6\frac{m}{s}=v_f\)Therefore, the final velocity is 35.6 meters per second directed towards the ground.
Now we are required to determine the time the object stays in the air. To do that we will use the following formula:
\(v_f=v_0-gt\)We will solve for "t" first by subtracting the initial velocity from both sides:
\(v_f-v_0=-gt\)Now we divide both sides by the acceleration of gravity with the negative sign:
\(\frac{v_f-v_0}{-g}=t\)Now we replace the values, but we need to have into account that since the final velocity is directed towards the ground its sign is negative:
\(\frac{-35.6\frac{m}{s}-22\frac{m}{s}}{-9.8\frac{m}{s}}=t\)Solving the operations:
\(5.87s=t\)Therefore, the cannonball's total time is 5.87 seconds.
Consider a cell that is running under standard conditions: nissduni21saqduucu1saqducussd.
a) Is this cell a voltaic or an electrolytic cell, and how can you differentiate between the two?
b) Does current flow spontaneously in this cell under standard conditions?
c) What is the maximum potential of this cell?
d) If the cell is connected to a voltmeter, what would you observe in terms of initial voltage and changes over time?
e) What is the initial free energy of this cell at the point of construction?
f) Does the free energy of the cell change over time as the cell runs, and if so, how does it change?
Answers
The given information is incomplete and does not specify whether the cell is voltaic or electrolytic. Differentiating between the two requires understanding their fundamental characteristics.
a) To differentiate between a voltaic and an electrolytic cell, additional information such as the direction of electron flow, the presence of an external power source, and the nature of the electrode reactions is required.
b) The spontaneity of current flow in the cell depends on the overall cell potential, which is not given in the provided information.
c) The maximum potential of the cell cannot be determined without knowledge of the specific redox reactions occurring and the concentrations of species involved.
d) The behavior of the voltmeter connected to the cell would depend on the cell potential and how it changes over time, which is not fundamental provided.
e) The initial free energy of the cell at the point of construction cannot be calculated without more information about the chemical reactions and standard free energy changes.
f) Without further details, it is impossible to determine how the free energy of the cell changes over time as the cell operates. The specific reactions and concentrations involved would be necessary to make such an assessment.
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What acts against the direction of motion and gets larger as an object moves faster
Answers
Answer:
Friction
Explanation:
In the event that the power is applied toward the path inverse to the bearing of movement, it goes against the movement of the item and henceforth the speed of the article diminishes.
Then, in the event that the thing continues to move one way, grinding will dominate and go about as the moving variable.
So, the moving factor would be friction.
easy one giving brainly if correct + detailed
Answers
Answer:
to the substance being heated
A 24kg crate initially at rest on a horizontal floor requires a 75 N horizontal force to set it in motion. Find the coefficient of static friction between the crate and the floor.
Answers
The coefficient of static friction between the crate and the floor is 0.32.
What is coefficient ?
The force required to move the crate is equal to the force of friction acting on it. The force of friction is given by the product of the coefficient of static friction (μs) and the normal force (N) exerted on the crate by the floor. Since the crate is initially at rest, the normal force is equal to the weight of the crate, which is given by the product of the mass (m) and the acceleration due to gravity (g).
Therefore, we can write:
Force of friction = μs * N = μs * m * g
We also know that the force required to move the crate is 75 N. Therefore, we have:
75 N = μs * m * g
Substituting the given values, we get:
75 N = μs * 24 kg * 9.81 m/s²
Solving for the coefficient of static friction (μs), we get:
μs = 75 N / (24 kg * 9.81 m/s²) = 0.32
Therefore, the coefficient of static friction between the crate and the floor is 0.32.
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Complete question is: A 24kg crate initially at rest on a horizontal floor requires a 75 N horizontal force to set it in motion. the coefficient of static friction between the crate and the floor is 0.32.
To find the coefficient of static friction between the crate and the floor, we can use the formula:
μs = Ff / N
where μs is the coefficient of static friction, Ff is the force of friction between the crate and the floor, and N is the normal force exerted on the crate by the floor.
In this problem, the crate is at rest on the floor, so the force of friction is the maximum static friction force, given by:
Ff = μsN
where N is the weight of the crate, given by:
N = mg
where m is the mass of the crate and g is the acceleration due to gravity.
Since the crate is initially at rest, the force required to set it in motion is equal to the force of friction:
Ff = 75 N
The weight of the crate is:
N = mg = 24 kg x 9.81 m/s^2 = 235.44 N
Substituting these values into the formula for the coefficient of static friction, we get:
μs = Ff / N = 75 N / 235.44 N ≈ 0.318
Therefore, the coefficient of static friction between the crate and the floor is approximately 0.318.
what is static friction
Static friction is the force that prevents an object from moving when a force is applied to it, such as when an object is at rest on a surface and a force is applied to try to move it. Static friction occurs between two surfaces in contact that are not sliding past each other. The force of static friction is a reactionary force that is equal in magnitude and opposite in direction to the force applied to the object.
What is acceleration
Acceleration is the rate at which an object's velocity changes over time. In other words, acceleration is the change in velocity per unit of time, or the derivative of velocity with respect to time. Mathematically, acceleration can be expressed as:
a = (v2 - v1) /
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Filteration can be used to seperate mixtures based on ?
Answers
A pendulum extending from ceiling almost touches the floor and that its period is 12s. How tall is the tower؟
Answers
A pendulum's period, or the time it takes to complete one full oscillation, is given by the formula T = 2π√(L/g), where T is the period, L is the length of the pendulum.
A g is the acceleration due to gravity (approximately 9.81 m/s²). In this case, the period T is given as 12 seconds. To find the height of the tower, we first need to determine the length of the pendulum (L). Rearrange the formula to solve for L:
L = (T² * g) / (4π²)
Substitute the given values:
L = (12² * 9.81) / (4π²)
L ≈ 14.53 meters
Since the pendulum almost touches the floor, the tower's height is approximately equal to the length of the pendulum. Therefore, the tower is approximately 14.53 meters tall.
A mechanical device with periodic motion is referred to as a simple pendulum period. A bob with mass suspended by a thin string from its top end makes up the basic pendulum. The motion of the basic pendulum happens in a vertical plane and is driven by the gravitational force. The pendulum swings freely back and forth in this rhythmic action. The following gives the relationship between the pendulum's length and time period:
T = 2π√(L/g)
Where "L" is the pendulum's length and "g" is the acceleration caused by gravity.
T = 1/f, where is the pendulum's frequency.
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A car traveling at 30 m/s runs out of gas while traveling up a 5 degree slope. How far will it coast before starting to roll back down?
Answers
The car will coast for approximately 372.5 meters before starting to roll back down.
The potential energy (PE) of the car is converted to kinetic energy (KE) as it travels up the slope until it runs out of gas. At this point, the KE of the car is given by: KE = (1/2)mv²
where m is the mass of the car and v is its velocity. Since the car is now coasting, there is no additional energy input, so the KE of the car will decrease due to frictional forces. However, we can assume that the change in KE is negligible over the distance the car coasts before it starts to roll back down.
The gravitational potential energy (GPE) of the car at the top of the slope is given by: GPE = mgh
where h is the vertical height of the slope. We can use the angle of the slope (5 degrees) and the distance traveled to calculate h: h = d*sin(5 degrees). Solving for d: d = h/sin(5 degrees)
We can substitute the expression for h and simplify: d = (mgh)/(mg*sin(5 degrees)) m cancels out, and we can substitute the given values: d = (30²*sin(5 degrees))/(2*9.81*sin(5 degrees)). Hence, d simplifies to approximately 372.5 meters.
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Describe two vectors a andb such that vector a+ vector b= vector c and a+b=c
(b) vector a + vector b= vector a - vector b
(c) vector a + vector b + vector c and a2 +b2=c2
can you show me how to do this problem and show all work myprofessor didn't go over any of this and i dont have a clue.
Answers
Answer:
a + b = c where a and b and c are vector quantities
Since c is the result of adding vector b to vector a (to add two vectors the vectors are connected head to tail)
a^2 + b^2 - 2 ab cos θ = c^2 is an expression of such a relationship
Note that a^2 + b^2 = c^2 if a and b are at right angles to one another
Another way to express this is:
a x + b x = c x where a and b are the x-components of a and b
a y + b y = c y describes the y -components of a and b
The above two equations will provide the x and y components of vector c
Three forces act on an object in vertical plane two forces of 500N and 300N act vertically upwards and the third force of 600N acts vertically downwards determine the resultant force acting on the object
Answers
The resultant force acting on the object is 200 N upwards.
What is the resultant force acting on the object?
The resultant force acting on the object is calculated by taking sum of all the forces including their direction.
Mathematically, the formula for the resultant force acting on the object is given as;
F ( net ) = F1 + F2 + F3
where;
F1 is the first force acting vertically upwardF2 is the second force acting vertically upwardF3 is the third force acting vertically downwardThe magnitude of the first force acting vertically upward = 500 N
The magnitude of the second force acting vertically upward = 300 N
The magnitude of the third force acting vertically downwards = 600 N
The resultant force acting on the object is calculated as follows;
F (net) = 500 N + 300 N - 600 N
F (net) = 200 N
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PLZ HELP! WILL MARK BRAINIEST IF CORRECT
Solve for potential energy and kinetic energy. It's circled.
Answers
Explanation:
KE = 0.5mv² = 0.5(50kg)(8.97m/s)² = 2,009.5J.
PE = mgh = (50kg)(9.81N/kg)(1m) = 490.5J.
You can see that the total mechanical energy (ME) is the sum
i need help with question 5heat capacity of water =4200 heat capacity of aluminium is = 897 heat capacity of oil = 1900 and heat capacity of gold is 129 if equal amount of energy is applied to all these materials which material would have the greatest temperature change and why. Explain your answer
Answers
Given that
heat capacity of water = 4200
heat capacity of aluminium = 897
heat capacity of oil = 1900
heat capacity of gold = 129
Heat capacity is the amount of heat a material absorbs to increase its temperature by 1 degree Celsius.
So, larger the heat capacity of a material lower will be the temperature change.
If equal amount of energy is applied to the materials, then gold will have the greatest temperature change as its heat capacity is lowest than other materials.
Jason hits a volleyball so that it moves with an initial velocity of 6.0 m/s
straight upward. If the volleyball starts from 2.0 m above the floor,
how long will it be in the air before it strikes the floor?
Answers
Answer:
Approximately \(1.5\; {\rm s}\).
(Assumptions: \(g = 9.81\; {\rm m\cdot s^{-2}}\); air resistance on the volleyball is negligible.)
Explanation:
Under the assumptions, acceleration of the volleyball would be \(a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}\) during the entire flight. (This value is negative since the ball is accelerating downwards- toward the ground.)
By the time the volleyball hits the ground, the volleyball would be at a position \(2.0\; {\rm m}\) below where it was launched. In other words, the (vertical) displacement of the volleyball during the entire flight would be \(x = (-2.0)\; {\rm m}\). (Negative since the ball is below where it was launched.)
Apply the SUVAT equation \((v^{2} - u^{2}) = 2\, a\, x\) to find the velocity of the volleyball right before hitting the ground. In this equation:
\(v\) is the velocity of the volleyball right before hitting the ground,\(u = 6.0\; {\rm m\cdot s^{-1}}\) is the initial velocity of the volleyball,\(a = (-9.81)\; {\rm m\cdot s^{-2}}\) is the acceleration of the volleyball, and\(x = (-2.0)\; {\rm m\cdot s^{-1}}\) is the displacement of the volleyball during the flight.Rearrange this equation and solve for the velocity right before landing, \(v\). Note that because \(v\!\) is raised to the power of \(2\) in \((v^{2} - u^{2}) = 2\, a\, x\), both \(v = \sqrt{u^{2} + 2\, a\, x}\) and \(v = -\sqrt{u^{2} + 2\, a\, x}\) could satisfy this equation. However, \(v\!\!\) needs to be negative since the volleyball would be travelling downwards before reaching the ground.
Therefore, right before reaching the ground, velocity of the volleyball would be:
\(\begin{aligned} v &= -\sqrt{u^{2} + 2\, a\, x \\ &= -\sqrt{(6.0)^{2} + 2\, (-9.81)\, (-2.0)} \; {\rm m\cdot s^{-1}} \\ &\approx (-8.67)\; {\rm m\cdot s^{-1}}\end{aligned}\).
In other words, velocity of this volleyball has changed from \(u = 6.0\; {\rm m\cdot s^{-1}}\) (upwards) to \(v \approx (-8.67)\; {\rm m\cdot s^{-1}}\) (downwards) during this flight. Divide the change in the velocity \((v - u)\) by the rate of change in velocity \(a = (-9.81)\; {\rm m \cdot s^{-2}}\) to find the duration of this flight:
\(\begin{aligned}t &= \frac{v - u}{a} \\ &\approx \frac{(-8.67) - 6.0}{(-9.81)}\; {\rm s} \\ &\approx 1.5\; {\rm s}\end{aligned}\).
What are 3 macro nutrients
Answers
Answer:
proteins carbohydrates and fats
Explanation:
Answer:
Carbohydrates, Proteins, and Fats.
If a pendulum system was established on the Moon, how long would the pendulum be to obtain a period of 3.5 seconds
Answers
To establish a pendulum system on the Moon with a period of 3.5 seconds, the pendulum would need to have a length of approximately 1.11 meters.
A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced to one side of its equilibrium position and then released, it will swing back and forth, and the motion will continue until friction (or drag) causes the oscillations to gradually dampen and come to a halt. The time it takes for one complete oscillation, or period, of a pendulum is determined by its length and the force of gravity on it.
In the case of a pendulum on the Moon, the period would be longer than it would be on Earth because the force of gravity is weaker on the Moon. To determine the length of the pendulum needed for a 3.5 second period on the Moon, we can use the following formula:
T = 2π√(L/g)
Where: T = period of the pendulum L = length of the pendulum g = acceleration due to gravity On the Moon, the acceleration due to gravity is about 1.6 m/s², so we can plug in the given period of 3.5 seconds and solve for the length :L = (T²g)/(4π²) = (3.5² × 1.6)/(4π²) ≈ 1.11 meters
Therefore, the pendulum would need to be approximately 1.11 meters long to achieve a period of 3.5 seconds on the Moon.
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It takes Josh 8 seconds to slow down from 39 m/s to 21 m/s. Calculate his acceleration
Answers
a: acceleration
Δv: change in velocity
t: time
a = Δv/t = (21-39)/8 = -18/8 m/s^2 = -2.25 m/s^2
The marker posts on a highway are 0.1 miles apart. If a truck is timed taking 5
seconds between posts, how fast is the truck going (in MPH; there are 3600 seconds
in an hour)?
Answers
Answer:
v= 72 miles/hour
Explanation:
Speed
The speed is the ratio of the distance x traveled by an object and the time t it took to complete the distance.
We calculate the speed as follows:
\(\displaystyle v=\frac{x}{t}\)
The truck was timed taking t=5 seconds between posts that are x=0.1 miles apart.
The speed of the truck is:
\(\displaystyle v=\frac{0.1}{5}\)
\(v=0.02\ miles/sec\)
Since 1 hour = 3,600 seconds:
v=0.02 * 3,600 miles/hour
v= 72 miles/hour
In this diagram, heat energy is being added over time. The vertical axis shows an increase in temperature, and the horizontal axis shows the passage of time. In the diagram, the solid eventually becomes a gas. What will happen to bring the substance from a solid to a gas? Responses Energy will be taken away. Energy will be taken away. Energy will be added. Energy will be added. The substance will lose volume. The substance will lose volume. The substance will lose pressure.
Answers
As the solid is turned into gas, energy would be added to the solid.
What is a heating curve?We know that the heating curve has to do with the diagram that shows the way and manner in which the temperature of a body changes as it is converted from solid to gas. We know that heat is that kind of energy which is able to cause the temperature change of a body.
There are stronger intermolecular interactions that holds the substance together in the solid state than there is in the liquid state. The implication of this is that more energy must be supplied so as to break these strong interactions and take the substances from solid to gas.
In the gaseous state, there is minimum intermolecular interactions and the particles of the substance are moving freely.
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