As the larger cross-sectional area results in less stress force therefore, for the same force , stress is less in large cross -section and it streches less
According to Hooke's rule, stress and strain are directly inversely related, meaning that as stress rises, strain rises as well. There is no need that the connection between strain and stress be linear. It is valid when the deformation is caused by a relatively tiny bulk stress.
Stress=K×strain
The elastic modulus is the proportionality constant characterizing the connection between stress and strain.
Stress=Elastic modulus×Strain
The term "bulk modulus" refers to the elastic modulus for bulk stress. The ability of the material to endure changes in volume under pressure from all sides may be expressed numerically as the bulk modulus. It describes the elastic characteristics of solids and fluids under pressure on all surfaces.
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100ptsA tiger leaps horizontally from a 5.5 m -high rock with a speed of 3.6 m/s .
How far from the base of the rock will she land?
A tiger leaps horizontally from a 5.5 m rock with a speed of 3.6 m/s. So the tiger will land 2.772 m away from the base.
What is acceleration?In mechanics, acceleration refers to how quickly an object's velocity alters in relation to time. The vectorized magnitude of accelerations. An object's acceleration is determined by the direction of the net force pushing against it.
Acceleration has a direction and a magnitude, making it a vector quantity. A vector quantity is a velocity as well. Acceleration is defined as the change in the vector of velocity over a period of time divided by the duration of the change.
According to the question, the given values are,
For y component :
Acceleration, a = -9.8 m/s²
Velocity, v₀= 0 m/s
Δy = -5.5 m
For x component :
a = 0 m/s²
v₀ = 3.6 m/s
Δy = v₀t + 1/2 at²
- 5.5 m = 0 + 1/2(-9.8)t²
t = 0.77 seconds
Δx = v₀t + 1/2 at²
Δx = (3.6)(0.77) + 0
Δx = 2.772 meters.
Hence, the tiger will land 2.772 m far from the base of the rock.
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URGENT!!
A runner completes a 10k race (10 km) at an average speed of 13. km/hr. How long does it take for her to complete the race?
Answer: 46 min
Explanation:
which one of the following statements concerning resistors in ""series"" is true? question 8 options: the current through each resistor is the same. the voltage across each resistor is the same. the power dissipated by each resistor is the same. the total current through the resistors is the sum of the current through each resistor.
Answer:
If the resistors are in series then each resistor
carries the "same current" - the first option
the student measured the volume of each fruit three times and then calculated a mean value the three measurements for a grape were 2.1cm3 2.1cm3 2.4cm3
The mean value of the measurements is 2.2 cm³.
What does measuring mean?The attributes of an object or an event are measured and quantified so that they can be compared to other things or events.
Therefore, measurement is the process of determining the size or smallness of a physical quantity in comparison to a primary reference quantity of a similar kind. The range and applications of measurement depend on the situation and industry.
Measurements do not apply to nominal attributes of things or occurrences in the natural sciences and engineering, as stated in the International Vocabulary of Metrology published by the International Bureau of Weights and Measures. Measurement is essential to trade, science, technology, and quantitative research in many fields.
Mean of the measurements = (2.1+2.1+2.4)/3 = 6.6/3 = 2.2 cm³.
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A 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping. Determine the average contact force that the grass alone exerts on the apple while stopping it. Ignore air resistance.
If a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping, then the average contact force that grass would exert on the apple would be 1.177 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem if a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping,
The contact force on the apple = 0.12 × 9.81
= 1.177 Newtons
Thus, the average contact force that grass would exert on the apple would be 1.177 Newtons.
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Bus A and Bus B leave school on a field trip when a stopwatch reads zero. Bus A travels at a constant 50 km/h, and Bus B travels at a constant 75 km/h. How far are the two buses from school when the stopwatch reads 1.5 h? a. Bus A is 76.5 km from school, Bus B is 51.5 km from school c. Bus A is 75 km from school, Bus B is 112.5 km from school b. Bus A is 112.5 km from school, Bus B is 75 km from school d. Bus A is 51.5 km from school, Bus B is 76.5 km from school
Answer:bus
Explanation:
derive a formula for acceleration of the system in this lab (under the assumption that the pulley is massless and frictionless, so the two tension forces are equal). how could one use this formula (similar to the atwoods machine) to get a measurement of g?
What is acceleration ?
Acceleration is the rate at which the speed and direction of a moving object change over time. Something is said to be accelerating when it starts to move faster or slower
Let acceleration be a
For the hanging m, mg-T = ma
For the glider(mass M),T=Ma
Eliminating T,we get
mg-Ma=ma
a=mg/(m+M)
Using energy concept we will get the same result,
When m is lowered by h, M will move h distance in forward direction.
As there is no friction, both m and M will attain same speed (v).
So, mgh = 1/2(m+M)v2 [Word done by T will cancel out, as for m it is -hT while for M it is hT(see the direction of T and displacement in both cases)]
v2 =2mgh/(m+M)
Use formula v2 - u2 = 2as
2mgh/(m+M) - 0 =2ah
a = mg/(m+M)
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if potential difference across a lightbulb is 12 V, what amount of charge is required to transfer 60 J of energy to the lightbulb
Answer:
Explanation:
Given:
U =12 V
E = 60 J
________
q - ?
E = U·I·t
q = I·t
E = U·q
q = E / U = 60 / 12 = 5 С
three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 6.99 v battery, which charges the capac
..............................
The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.
Let
Equivalent capacitance of the circuit = [tex]C_{eq}[/tex]
[tex]C_{eq}[/tex] =Q/V
where Q is the charge and V is the potential difference.
Q = [tex]3.5[/tex]×[tex]10^{-4[/tex]
V = 5.55 V
Putting the values
[tex]C_{eq}[/tex] = [tex]3.5[/tex]×[tex]10^{-4[/tex]/5.5V
[tex]C_{eq}[/tex] = [tex]6.4[/tex]×[tex]10^{-5}[/tex]F
The circuit consists of 3 capacitors in parallel, each one having the same capacitance C.
To find C:
C = [tex]C_{eq}[/tex]/3
C = 2.1 ×[tex]10^{-5}[/tex]F
The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.
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The full Question is :
Three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 5.55-v battery, which charges the capacitors. the charging process involves 3.45 Ã 10-4 c of charge moving through the battery. find the capacitance of each capacitor.
3. A penguin waddles 8 m uphill before sliding back down to its friends in 2 seconds. If the penguin ends where it started, what is its velocity?
The velocity of penguin as he ends where he started was 0 m/s.
What is displacement?
Displacement is the length of straight line joining the initial and final position of the body.
Given is a penguin who waddled 8 m uphill before sliding back down to its friends in 2 seconds.
We know that the velocity is the rate of change of displacement with respect to time. Mathematically -
v = dx/dt
dx = v dt
∫dx = ∫v dt
Δx = vΔt
v = Δx/Δt
Now, the displacement of the penguin will be = Δx = 8 - 8 = 0
Then, its velocity will be -
v = 0/Δt = 0
Therefore, the velocity of penguin as he ends where he started was 0 m/s.
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use Newtons's 1st law explain how the seat belt help keep you safe in a collosion
You have someone in front of you that you are pulling hair samples from pre-emptively—not because you need them right now but just in case they might be relevant later. What is most likely true about the person in front of you?
The most likely true about the person in front of you is any of the above could be true and is denoted as option D.
What is a Sample?This is referred to as the matter or substance which is obtained so as to aid investigation processes and examples include hair, blood etc. It is useful as it helps to solve a crime and ensures that the culprit is punished.
Taking hair samples from pre-emptively could be because of any of the reasons listed such as being a suspect or a witness to a crime thereby making option D as the correct choice.
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The options are:
They are a suspect in a police interrogation.They are a witness of a crime.They are dead.Any of the above could be true.A 5 kg block is pulled with 3.5 N of force to the right. The block experiences 0.5 N of friction. What is the acceleration of the block?
A 5 kg block is pulled with 3.5 N of force to the right. The block experiences 0.5 N of friction. The acceleration of the block will be 0.6 m/s^2.
According to Newton's second law of motion, force is calculated as mass times acceleration. Acceleration is the rate of change of velocity.
Here, the block is moved to right side by applying 3.5 N force. The block experienced a frictional force of 0.5 N. Then the total force is,
F_(net) = 3.5 N - 0.5 N = 3 N
The mass (m) of the block is 5 kg. The acceleration of the block will be
Acceleration (a) = Force/Mass
a = F_(net)/m
a = 3/5 = 0.6 m/s^2
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if a digital thermometer measures between - 100 and 300 degrees, and the digital readout is 0110 1100 (8 bit), what is the analog value being measured?
if the digital display on a thermometer reads 0110 1100 and the temperature ranges from -100 to 300 degrees (8 bit). the analogue quantity being measured is 84.71.
A thermometer is a device used to gauge temperature. It may gauge the temperature of a solid substance, like food, a liquid substance, like water, or a gas, like air. Celsius, Fahrenheit, and kelvin are the three most widely used units for measuring temperature. A component of the metric system is the Celsius scale. The metric system of measuring also contains units for length and mass, such as kilogrammes and kilometres. The official unit of measurement for practically all nations in the world is the metric system, which includes Celsius. The Celsius scale is commonly used in science to measure temperature. Water has a freezing point of 0 degrees Celsius and a boiling point of 100 degrees Celsius.
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A cat lies on the floor. Which of the following statements are correct?
a,Cannot be known
b,Support Force < Weight
c,Support Force > Weight
d,Support Force = Weight
help pls asab
Answer:
Choice d: support force (normal force) on the cat and the weight of the cat are equal in magnitude.
Explanation:
The cat in this question is stationary. As a result, the acceleration of this cat will be zero. By Newton's Second Law of Motion, the net force on this cat will also be zero.
If the floor is level, there will be two forces acting on this cat:
The weight of the cat, which points downwards.The support force (normal force) of the floor on the cat, which points upwards.For the net force to be zero, these two forces need to balance each other. For that, they need to have the same magnitude and point in opposite directions. Therefore, the magnitude of the support force (normal force) will be equal to the magnitude of the weight of this cat.
What is the weight of a 59 kg football player?
Answer:
130.073 pounds
Explanation:
use a translation to find what kg to pounds is
Answer:
578.59235
Explanation:
59*9.8
9.8 is the force of gravity acting on the earth, therefore multiplying 59 and 9.8, you get 578.59N or, if you're rounding it up, 578.6N
shows an overhead view of three particles on which external forces act. the magnitudes and directions of the forces on two of the particles are indicated. what are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) sta
The net force's work is described as d=(3.82)(4.00)=15.3J for W=F net, where we made use of the fact that the canister began at rest and traveled horizontally while being affected by horizontal forces; the resulting effect is represented by the symbol F net.
Since all of these cases are in closed systems, the result is in a new preserved quantity.
Linear momentum and this new quantity, angular momentum, are comparable. In this chapter, we first define angular momentum and then examine it from a number of angles.
But first, we look into a single particle's angular momentum. This enables us to compute the force angular momentum of a rigid cylindrically symmetric body and a system of particles.
We used the fact that the canister started at rest and moved horizontally under the influence of horizontal forces; the ensuing effect is denoted by the symbol F (force) net.
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Imagine that you could increase the gravitational force on Earth to 200% its current force. What would life be like?
Be sure to answer these questions in your response:
• How would your weight change?
• What challenges would this increase cause?
• What benefits would this increase bring about?
• Would you choose to keep the gravity increase? Why or why not?
(100 POINTSS, ASAP PLS!)
Answer:
You weight would be doubled because gravitational force is doubled
2. Challenges:
a. Everyone’s body would have to adjust to the new weight and learn to walk again
b. Earth would be closer to the sun, so everything would be hotter on Earth
c. Flying airplanes and driving cars might no longer work at all (talk about how difficult this would make traveling)
3. Benefits:
a. Time would go by much slower so technically everyone would live longer
b. Balloons wouldn’t fly off anymore
4. You have to decide for yourself if you’d like it better or worse
Explanation:
modulus of oil is 5 * 10 ^ 9 * Pa and its compressibility is 2 * 10 ^ - 5 * at * m ^ 1
Exercise 9: The brass plate of an outdoor sculpture experiences shear forces in an earthquake. The plate is 0.8m ^ 2 and 0.5 cm thick. What is the force exerted on each of its edges if the resulting displacement x is 0.16 mm? (Shear modulus = 3.5 * 10 ^ 10 * Pa ) .
Its edges are subjected to a force of 2.8 x 1010 N at the specified shear stress and area.
The force known as shear stress is the tendency for a material to deform by slippage along a plane or planes parallel to the applied stress. Shear stress or pressures, as their name suggests, tend to "shear" objects or produce material deformation.
The formula for shear stress is given as:
F = Aτ
where;
F is the force applied, A is the area of the surface, and τ is the shear stress
We have,
Shear modulus, τ = 3.5 × 10¹⁰ Pa
The area of the plate is A = 0.8 m²
Then,
F = ( 0.8 m² ) × (3.5 × 10¹⁰ Pa)
F = 2.8 x 10¹⁰ N
As a result, as the shear stress grows, so does the force applied to each of its edges that causes the specified displacement.
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A hollow metal sphere is charged to a potential of 40 V. The potential at its center is ________.Group of answer choices0 V80 VDepends on the radius of the sphere-49 V40 V-80 V
40 V
Explanation
Electric potential at any point inside a hollow metallic sphere is constant. Therefore, if potential at surface is 40 V, potential at centre will also be 40 V.
40V
also In a hollow sphere, with the charge on the surface of spheres, there is no charge enclosed within the sphere, since all the charges are in surface. Hence there is no electric field within the sphere.
I hope this helps you
if the temperature of star b is twice the temperature of star a, what can we say about the energy emitted by the surface of star b compared to the energy emitted by star a?
The blackbody radiation energy emitted by star a is 1/16 factor of star b energy.
We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as
P = A . e . σ . T⁴
where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.
From the question above, we know that
Tb = 2 Ta
By using the black body radiation formula, the ratio of temperature is
Ta⁴ / Tb⁴ = Pa / Pb
Ta⁴ / Tb⁴ = Ea / Eb
Hence,
Ta⁴ / Tb⁴ = Ea / Eb
Ta⁴ / (2Ta)⁴ = Ea / Eb
Ta⁴ / 16Ta⁴ = Ea / Eb
1/16 . Eb = Ea
Thus, the energy of star a will have 1/16 factor of star b energy
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heat is added to a 3.0 kg piece of ice at a rate of how long will it take for the ice at to melt? (for water and heat is added to a 3.0 kg piece of ice at a rate of how long will it take for the ice at to melt? (for water and 1,000 s 640,000 s 1.6 s 0.0 s
It will take 1.6s for the ice to melt.
First we have to write the expression for the heat balance equation for the system
Q supply = Qgain/
t= mLf/t
Here, m is the ice,
Lf is the latent heat of fusion
and t is the time taken to melt the ice.
Now we have to substitute the required value in the above expression to determine the value of time.
636 kJ/s = (3 kg)(334 kJ/kg) / tt =1.575 s
What is latent heat?
The heat or energy that is absorbed or released during a substance's phase shift is known as latent heat. It could go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.
Therefore, the closest option is 1.6s
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Jupiter has a gravitational field of 23.6 N/kg. Would you weigh more or less on Jupiter than you do on Earth?
Earth's gravitational field = 10N/kg
Jupiter's gravitational field = 23.6 N/kg
Jupiter's gravitational field > Earth's gravitational field
Therefore, we will weigh more on Jupiter.
The gravitational force exerted on a mass—typically located close to a planet's surface—is what gives something its weight. A different planet with a weaker gravitational field can cause an object's weight to varying. The gravitational field strength is expressed in Newtons per kilogram and increases with the size of the subject.What is Gravitational Field?In physics, a gravitational field is a model used to explain the effects that a large body stretches into the space surrounding it, creating a force on a smaller, more massive body. As a result, the newtons per kilogram (N/kg) gravitational field, which is utilized to explain gravitational phenomena, is used. In meters per second square (m/s2), it is equivalently expressed.The concept of gravity originally described a force between point masses. Since the 19th century, explanations of gravity have typically been taught in terms of a field model, rather than a point attraction. Pierre-Simon Laplace attempted to characterize gravity as some sort of radiation field or fluid, following Isaac Newton. Instead of two particles being attracted to one another in a field model, the particles deform spacetime due to their mass, and this distortion is what is sensed and quantified as a "force." According to such a hypothesis, gravity either doesn't exist or is a made-up force that causes stuff to move in specific ways in reaction to the curvature of spacetime.To learn more about Gravitational Field, refer to:
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A ball is equipped with a speedometer and launched straight upward. The speedometer reading three seconds after launch is shown at the right; the ball is moving upward. At what approximate times would the ball be moving downward and display the following speedometer readings?
The time shown by the speedometer corresponding to speed of 10 m/s is 1 s.
The time shown by the speedometer corresponding to speed of 20 m/s is 1 s.
The time shown by the speedometer corresponding to speed of 30 m/s is 1 s.
1. As shown by the speedometer on the right.
The speed of 10 m/s indicated by the speedometer to the right may be used to calculate how long the ball has been falling from the maximum altitude it reached.
Equation for free fall: Vf = Vo - gt
Vo=0, Vf=gt, and t=Vf/g
I suggest using an approximation of g for this problem: g = 10 m/s2 (I'll explain why in a moment).
1 second is equal to [10 m/s]/[10 m/s2].
The time is now dropping. From it has been four seconds since launch, the upward time was three seconds. You may use this to determine the launching speed.
2. The moment the speedometer registers 20 m/s
Determine the launching speed first:
Vo - gt = Vf
Given that the ball took 3 seconds to ascend and that its speed was zero at its highest point, you may calculate:
0 = Vo - gt
Vo=gt=10 m/s2 3 s = 30 m/s
Now, while the ball is moving upward and the speedometer reads 20 m/s, use the beginning velocity to compute.
t = [30 m/s - 20 m/s] / [10 m/s2] = 1 s 20 m/s = 30 m/s - 10 m/s2
Therefore, t = 1 s is the initial solution.
3. The moment the speedometer registers 30 m/s.
The projected speed for the launch is also 30 m/s.
This reading therefore reflects the precise moment the ball was released.
Time is therefore 0 and the launch moment remains the same.
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\tusain bolt's record time for running the 100 meter dash is 9.58 seconds. if bolt had a mass of 94 kg at the time of his record-breaking run, what was his average momentum along the straight-line path?
his average momentum along the straight-line path id 981.21kgm/s
What is momentum ?
momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.
Average velocity,
v = distance / time
= 100 m / 9.58 s
= 10.44 m/s
Now use:
momentum = m*v
= 94 Kg * 10.44 m/s
= 981.21 Kg m/s
Answer: 981.21 Kg m/s
his average momentum along the straight-line path id 981.21kgm/s
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a cureent of 0.22A flows through the secondary winding of the transformer. The terminal voltage of the winding is 2400V, and the primary winding is 120V . What is the current in the primary winding?
The current in the primary winding is 4.4 A.
What is primary winding?
A primary winding is the winding of a transformer that is connected to and recive energy from an external source of electron.
The primary winding is the coil that draws power from the source.
Sol- As per the given question -
Current Is=0.22A
Primary winding Vp=120v
Voltage of winding Vs=2400v
Current of primary winding Ip?
Np/Ns=Vp/Vs=Is/Ip
Vp/Vs= Is/Ip
120/2400 =0.22/Ip
Ip= 20×0.22
Ip= 2.2×2
Ip=4.4 A
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A car traveling at a uniform speed of 100km per hour spends 15 minutes moving from point A to B along its route . Find the distance between A and B
distance between A and B25002 m
V = 100 km/h
V = (100 x 1000)/3600 = 27.78 m/s when converted to a unit of speed.
t = 15 minutes = 15 x 60 = 900 seconds
displacement =?
Displacement times time equals velocity
Velocity times time equals displacement
displacement = 27.78 x 900
Displacement = 25002 meters
The distance between A and B is 25002 meters since displacement and distance are measured in the same unit.
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If you slide a box across the floor, it produces friction. The friction generates thermal energy. Which object/s would be warmer from the heat generated?
The temperature of the box and floor eventually rise as a result of the thermal energy flowing as heat inside these two things.
This is further explained below.
What is thermal energy?Generally, The energy present in a system that determines its temperature is referred to as thermal energy.
Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process (see the first law of thermodynamics).
In conclusion, This thermal energy is transferred in the form of heat throughout the box as well as the floor, which eventually results in an increase in temperature for both of these locations.
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9. NL5Q9
A rightward force of 14.0-N is exerted on a block to accelerate it across a friction-free surface. It accelerates at 3.45
m/s/s. If a second block of identical mass is dropped onto the first block, then what is the acceleration when the same
14.0-N force is applied to it. (Assume that there is no sliding between the first and second block.)
A force is a power that can exchange the movement of an object. A pressure can reason an object with mass to exchange its pace, i.e., to boost up. force can also be described intuitively as a push or a pull. A force has both value and path, making it a vector amount.
Acceleration is the price of change of the rate of an item with admire to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item
Force = mass × acceleration
since friction is zero
mass = Force / acceleration
= 14 / 3.45
= 4.0579 kg
On adding a second block of the same mass
total mass = 4.0579 + 4.0579 kg
= 8.2 kg
new,
acceleration = force/ mass
= 14/8.2
= 1.7073 m/s²
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a 30.0 kg child starting from rest slides down a water slide with a vertical height of 10.0m. what is the child's speed (a) halfway down the slides vertical distance and (b) three-fourths of the way down?
a)Child's speed halfway down the slide is 9.89m/s.
b)Child's speed three fourth of the way down is 12.12 m/s.
Potential energy that a massive object has in relation to another massive object due to gravity is called gravitational potential energy. Potential energy associated with the gravitational field is converted to kinetic energy when the objects falls towards each other.
As we know that, ΔPE=KE
mgΔh=mv²/2
Now, v=sqrt(2gΔh)
Halfway down the slide, Δh=5 m
gravity = 9.8 m/s²
v=sqrt(2gΔh)
v= √2* 9.8 * 5
= √98
= 9.89 m/s
For the three fourth of the way down, Δh=7.5 m.
v= √2* 9.8 * 7.5
= 12.12 m/s
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