The relationship between Linear Expansivity and Cubic Expansivity is as follows: Cubic / Volume expansivity = 3 Linear expansivity
Now, consider a sheet of metal of Length (l), Breadth (b), and Height (h). Let the initial Length be (l₁), the initial Breadth be (b₁) and the initial Height be (h₁). Let the final Length be (l₂), the final Breadth be (b₂) and the final Height be (h₂) after the metal is heated through a temperature change of θ.
Considering,
the initial volume of the metal be V₁ = l₁*b₁*h₁
and, the final volume of the metal be V₂ = l₂*b₂*h₂
Then,
Using the formula of linear expansivity,
l₂ = l₁ (∝∆θ + 1 )
b₂ = b₁ (∝∆θ + 1 )
h₂ = h₁ (∝∆θ + 1 )
Remember that Volume = l * b*h
Therefore,
V₁ = l₁*b₁*h₁
V₂ = l₂*b₂ *h₂
V₂ =l₁ (∝∆θ + 1 ) * b₁ (∝∆θ + 1 ) * h₁ (∝∆θ + 1 )
V₂ = l₁* b₁*h₁ (∝∆θ + 1 ) * (∝∆θ + 1 ) * (∝∆θ + 1 )
V₂ = l₁* b₁*h₁ ((∝∆θ * (∝∆θ + 1 ) + 1 * (∝∆θ + 1 ) ) * (∝∆θ + 1 )
Let's open the brackets, now we get,
V₂ = l₁* b₁*h₁(∝²(∆θ)² + ∝∆θ + ∝∆θ + 1 ) * (∝∆θ + 1 )
V₂ = l₁* b₁*h₁(∝²(∆θ)² + 2∝∆θ +1 ) * (∝∆θ + 1 )
V₂ = l₁* b₁*h₁(∝²(∆θ)² * (∝∆θ + 1 ) + 2∝∆θ * (∝∆θ + 1 ) +1* (∝∆θ + 1 ) )
V₂ = l₁* b₁*h₁(∝³(∆θ)³ +∝²(∆θ)² + 2∝²(∆θ)² + 2∝∆θ +∝∆θ + 1 )
V₂ = l₁* b₁*h₁(∝³(∆θ)³ +∝²(∆θ)² + 2∝²(∆θ)² + 3∝∆θ + 1 )
V₂ = V₁(∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 )
Remember that ,
V₂ = V₁ ( ϒ * ∆θ + 1 )
Let us substitute for V₂ in the above formula. Then we will get,
V₁ ( ϒ * ∆θ + 1 ) = V₁(∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 )
ϒ * ∆θ + 1 = ∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ+1 (V₁ canceled V₁ and the brackets are removed)
ϒ * ∆θ = ∝³(∆θ)³ + 2∝²(∆θ)² + 3∝∆θ ( 1 cancelled 1 )
At this point,∝ tends to be zero because its value starts from 0.0000... Upward. Therefore,∝² and ∝³ are approximately zero. i.e. ∝² and ∝³ are = 0.
Therefore, we put zero in place of ∝² and ∝³. Now we get,
ϒ * ∆θ = 0*(∆θ)³ + 2*0*(∆θ)² + 3∝∆θ
ϒ * ∆θ = 0 + 0 + 3∝∆θ
ϒ * ∆θ = 3∝∆θ
ϒ = 3∝ ( ∆θ cancelled. ∆θ )
Therefore,
Cubic / Volume expansivity = 3 Linear expansivity
Learn more about cubic & linear expansivity here:
https://brainly.com/question/19129458
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.
a rugby player passes the ball 8.25 m across the field, where it is caught at the same height as it left his hand. at what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
Of the two possible angles, the smaller angle is θ = 17.075°.
What is the formula for range?The distance between a projectile's launch point and its point of impact with the ground, assuming it is fired from the ground, is referred to as the range.
R = [u²sin (2θ)]/g
Given values;
Range of pass; R = 8.25 m
Speed; u = 12 m/s
R = [u²sin (2θ)]/g
Thus;
8.25 = 12² × (sin(2θ))/9.8
(sin(2θ)) = ( 8.25 × 9.8)/12²
(sin(2θ)) = 0.5614
2θ = sin⁻¹(0.5614)
2θ = 34.15
θ =34.15/2
θ = 17.075°
To know more about range visit:
https://brainly.com/question/8812121
#SPJ4
use Newtons's 1st law explain how the seat belt help keep you safe in a collosion
the coefficient of kinetic friction between the ramp and the lower box is 0.441, and the coefficient of static friction between the two boxes is 0.834. what force t do you need to exert to accomplish this?
Newton's second law states that the product of the box's mass and acceleration determines the net force acting on the object. T, which equals f= 23.52 N, must be applied in order to move up the ramp.
The behaviour of objects for which all external forces are balanced is predicted by Newton's first law of motion. According to the first law, sometimes known as the law of inertia, an object's acceleration will be zero metres per second per second if the forces acting on it are evenly distributed. When everything is in balance, or equilibrium, objects cannot accelerate. According to Newton, an item will only accelerate if another force is operating on it that is net or imbalanced. If an imbalanced force is present, the object will accelerate and change its direction and speed, or both. The behaviour of objects for whom all external forces are not balanced is covered by Newton's second law of motion.
Learn more about Newton's second law here:
https://brainly.com/question/13447525
#SPJ4
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
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.
To solve more questions on kinematics, visit the link below-
https://brainly.com/question/27200847
#SPJ1
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:
https://brainly.com/question/26690770
#SPJ13
consider the sprint of a quarter horse that has a maximum speed of 24 m/s and a maximum acceleration of 5.7 m/s2 (example 3.17 in the textbook). model the horse's velocity and acceleration with exponential functions.
Distance horse run with maximum acceleration at t = 2.0 s is s1=11.4 m , t = 4.0 s is s2=45.6 m and t = 8.0s is s3 = 141.54 m.
An object that is speeding occasionally has a constant change in velocity over time. As was said in the previous sentence, the data table above depicts an object increasing its velocity by 10 m/s every second. Since there is a constant change in velocity every second, this is known as a constant acceleration. Contrary to popular belief, an object with constant acceleration is distinct from one with constant velocity. Refuse to be duped! Furthermore, a moving item at a constant speed is not accelerating. The following data tables show the motions of objects moving at a constant acceleration and at a variable acceleration. The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.
Learn more about acceleration here:
https://brainly.com/question/12550364
#SPJ4
Number the steps for balancing equations:
Use coefficients to increase the atoms on each side.
Check to make sure you have the same number of each type of atom on each side.
Count the atoms on each side.
Identify the atoms on each side
The steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.
What is balanced chemical equation?A balanced chemical equation is defined as a formula where both the reactants and the products have the same amount of atoms of each kind.
It can also be defined as an equation for a chemical reaction that accounts for the overall charge and the number of atoms for each reacting element.
Steps for balancing the chemical equation
Tally up all the atom types in the reactants and products.In order to increase the number of atoms or molecules in the substances, add coefficients as necessary in front of the symbols or formulas.Up until the equation is in balance, repeat steps 1 and 2.Thus, the steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.
To learn more about balanced chemical equation, refer to the link below:
https://brainly.com/question/28294176
#SPJ1
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.
To know more about speedometer refer to https://brainly.com/question/13495197
#SPJ9
A wave crest passes a particular point every [tex]\frac{1}{10}[/tex] th of a second. Calculate the frequency of the wave.
Answer:
Explanation:
Given:
T = 1/10 s - Wave oscillation period
_____________________________
f - ?
The frequency of the wave:
f = 1 / T = 1 / (1/10) = 10 Hz
What happens to the mechanical energy of the apple as it falls from the tree?
Answer:
When an apple falls from a tree tothe ground, the potential energy ofthe fall is converted into kineticenergy,which is kinetic energy. Whenan apple hits the ground, it convertskinetic energy into heat energy
Explanation:
Question:
What happens to the mechanical energy of the apple as it falls from the tree?
Answer:
When the apple falls from the tree, it has some gravitational potential energy due to its height. When it fails, the Gravitation Potential energy will begin converting into Kinetic Energy.
If two balls the same size and different masses go down a ramp, which ball would have more speed? (The greater mass or the less mass?)
If two balls the same size and different masses go down a ramp, they will move at the same speed.
The phrase "rolling down a frictionless slope" is illogical. The translational and rotational motions of the balls are completely uncoupled if the slope has no friction, and the balls just slide down the slope.
I believe the situation when there is static friction, allowing the balls to roll without slipping, is what you are most interested in.
In either case, the velocity as a function of distance along the ramp (v(s)) for uniform spheres ends up being independent of both the mass and the radius. Additionally, the duration of the descent is simply the integral of ds/v(s), which is also independent of the mass and radius.
As a result, they move at the same speed regardless of position and arrive at the bottom at the same moment.
Let's learn more about momentum numerical
https://brainly.com/question/2769947
Tell us what you know about the nursing profession. How are you an underrepresented minority in nursing or an economically disadvantaged student?
The nursing profession offers specialized care from infancy to death. Social, psychological, and economic issues are some of the challenges faced by minority nurses.
The nursing profession is how significant?It is the nurse's responsibility to maintain continuity of care and develop a close closeness with the patient in order to foster trust and foster a climate that is safe for recovery. Numerous worldwide nursing codes of practice presently endorse patient advocacy.
Why is nursing necessary and what is it?Health promotion is promoted by nurses, who also teach patients and the general public how to avoid disease and damage, care for patients and help with treatment, take part in rehabilitation, and offer support. No other medical specialist has a job with such a wide-ranging and complex scope.
To know more nursing profession visit:
https://brainly.com/question/14465443
#SPJ 13
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.
To know more about measurements, click on the link
https://brainly.com/question/2399464
#SPJ10
\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
To know about momentum from the link
https://brainly.com/question/402617
#SPJ4
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
Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide, which of the following is true?
a- Car A applies a greater force on car B than car B applies on car A.
b- Car A applies a force on car B equal to the force car B applies on car A.
c- Car B applies a greater force on car A than car A applies on car B.
d-Car A and car B do not have the same velocity; you cannot compare the forces.
Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide a- Car A applies a greater force on car B than car B applies on car A.
Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
When both the cars will collide , one with greater momentum will applies greater force .
As momentum is calculated as mass multiplied by velocity , since both the car have same mass then the car with a greater velocity will exert more force on the other car .
since , car A has a velocity of 30 m/s and car B is moving with a velocity of 15 m/s , then car A will have greater momentum and will exert a greater force on car B.
correct option will be
a- Car A applies a greater force on car B than car B applies on car A.
To learn more about momentum here :
https://brainly.com/question/904448
#SPJ1
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.
Learn more about thermometer here:
https://brainly.com/question/24189042
#SPJ4
Calculate the kinetic energy of a 1000 kg car moving at 4 meters per second
Kinetic Energy = 1/2 * m *(v*v)
M= 1000
V=3 m/s
KE=1/2 * 1000 * (4*4)
KE= 500*16= 8000 J.
To calculate kinetic energy Find the square of the object's velocity. Multiply this square by the mass of the object. The product is the kinetic energy of the object. The kinetic energy of a moving car is KE=1/2mv^2. Create and test a function called KE to find the kinetic energy of a moving car given a vehicle mass m and velocity v.
As every engineer knows calculating energy is easy. The unit of electrical energy is the kilowatt hour. It is determined by multiplying the amount of electricity consumed by the number of hours the electricity was consumed. Multiply this by the cost per kWh to get the total energy cost. There are five main types of kinetic energy radiant thermal, sound electrical, and mechanical energy. Radiant energy is related to ultraviolet and gamma rays that are constantly moving through space. Acoustic energy is kinetic energy in the form of vibration or noise.
Learn more about Kinetic energy here:-https://brainly.com/question/25959744
#SPJ1
Answer:
Kinetic energy = 8 KJ
Explanation:
Given information,
→ Mass of car = 1000 kg
→ Velocity = 4 m/s
Now we have to,
→ Find the required Kinetic energy.
Let us assume that,
→ Kinetic energy = x
The formula we use,
→ KE = (1/2)mv²
Then the value of x will be,
→ x = (1/2)mv²
→ x = (1/2) × 1000 × (4)²
→ x = (1000/2) × 16
→ x = 500 × 16
→ x = 8000 J
→ [ x = 8 KJ ]
Hence, the answer is 8 KJ.
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
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.
Learn more about Newton's second law, here, refer to the link ;
brainly.com/question/13447525
#SPJ1
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
To know more about acceleration here:
https://brainly.com/question/12550364
#SPJ1
BRAINLIEST + THANKS GIVEN
What happens to the brightness of lightbulbs if you add them to each circuit?
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will make them brighter because the current through each individual bulb goes up.
Adding bulbs to a series will make them brighter because each bulb will take more current, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them brighter because current is increased, adding bulbs to a parallel will make them dimmer because the current has to be split up between them.
Adding bulbs into a series will make them dimmer because the current is decreased, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Therefore, Option (C) is correct.
What are series circuits and parallel circuits?A series circuit is one where the same current flows through all the components in the circuit. The current has only one path in series circuits. A parallel circuit is one where the electric current has multiple paths to flow through. The components of the parallel circuits will have the same voltage across all ends.
When we connect bulbs in the circuit where all are connected in series then the net resistance of the circuit will increase and the voltage across each bulb will decrease.
Since voltage decreases across each bulb then the current across each bulb will decrease and the bulb gets dimmer because the current is reduced.
When we connect bulbs in parallel the voltage and current across each bulb will remain the same and then adding bulbs to a parallel will not affect the brightness.
Learn more about series circuits and parallel circuits, here:
https://brainly.com/question/14997346
#SPJ1
A weight training ball is put on a ledge 3 m high. The potential energy of the ball on the
ledge is 200 J. What is the mass of the ball? Round your answer to the nearest tenth.
Rearrange the formula to solve for mass.
Use the formula to solve for the mass of the ball.
The mass of the ball is 6.8 kg.
Describe mass.A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force.
Mass is not the same as weight in physics, despite the fact that weight is commonly determined using a spring scale rather than a balanced scale and directly compared with known masses. An object would weigh less on the Moon than it does on Earth despite maintaining the same mass because of the lower gravity there.
We know that the formula of potential energy is,
P.E = mgh
Where m is the mass of the object g is the acceleration due to gravity and h is the height.
Given :
PE = 200 J
g =9.8 m/s^2
h = 3m
Therefore according to the question,
3 x 9.8 x m = 200
=> m = 200 / 3 x 9.8
=> m = 6.8 kg
To learn more about potential energy click on the link below:
https://brainly.com/question/13997830
#SPJ9
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)
Learn more about acceleration from given
https://brainly.com/question/460763
#SPJ4
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.
To get more information about acceleration :
https://brainly.com/question/12550364
#SPJ1
Why is it necessary to collimate the light source before using the prism to disperse the light?.
It necessary to collimate the light source before using the prism to disperse the light in order for the light rays entering the prism to be parallel.
What is a collimator?Collimator is a tool for converting a point source's divergent radiation into a parallel beam. To perform specific measurements in spectroscopy, geometrical optics, and physical optics, the light must be collimated.
What is a collimator made up of?An optical collimator is made up of a tube with a convex lens at one end and a variable aperture at the other end that is located in the lens' focal plane. To examine the image without parallax, radiation entering the aperture exits the collimator as a parallel beam.
Hence, collimation is needed for the light rays entering the prism to be parallel.
To know more about collimation visit:
https://brainly.com/question/13701030
#SPJ4
Please Help Me!!
Imagine your friend was absent from class today. In your own words, explain how you can use water to measure the volume of an object.
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
Learn more about force here:-https://brainly.com/question/12970081
#SPJ1