Answer:
4E
Explanation:
From the question given above, the following data were obtained:
Initial elongation (e₁) = 4 cm = 4/100 = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.04 + 0.04 = 0.08 m
Final energy (E₂) =?
The energy stored in a s spring is given by:
E = ½Ke²
Where
E => is the energy
K => is the spring constant
e => is the elongation
From:
E = ½Ke²
Energy is directly proportional to the elongation. Thus,
E₁/e₁² = E₂/e₂²
With the above formula, we can obtain the final energy as follow:
Initial elongation (e₁) = 0.04 m
Initial energy (E₁) = E
Final elongation (e₂) = 0.08 m
Final energy (E₂) =?
E₁/e₁² = E₂/e₂²
E / 0.04² = E₂ / 0.08²
E / 0.0016 = E₂ / 0.0064
Cross multiply
0.0016 × E₂ = 0.0064E
Divide both side by 0.0016
E₂ = 0.0064E / 0.0016
E₂ = 4E
Therefore, the final energy is 4 times the initial energy i.e 4E
1) Use SolidWorks (SW) FEA to apply a bending load of 600 lbf on the right end of the stepped shaft as shown below. This is the same geometry as H01. Estimate stress concentration factor Kt for bending from your FEA. Provide a hardcopy color plot of your FEA showing maximum von Mises stress.
Solution :
Given :
L = 1 in
d = 0.75 in
D = 1 in
Fillet radius, r = 0.063 in
[tex]$K_{t_{bending}=\frac{\sigma_{FEA_{bending }}}{\sigma_{Nominal_{bending }}}$[/tex]
We know that :
[tex]$\sigma_{b} = \frac{32M}{\pi d^3}$[/tex]
[tex]$\sigma_{b} = \frac{32 \times (2998.63 \times 25.4)}{\pi (0.75 \times 25.4)^3}$[/tex]
[tex]$=112.27 \ N/mm^2$[/tex]
[tex]$\sigma_{FEA} = 1.3 \times 10^8 \ N/m^2$[/tex]
[tex]$=1.3 \times 10^8 \times 10^{-6}$[/tex]
[tex]$=1.3 \times 10^2$[/tex] MPa
= 130 MPa
Therefore, the stress concentration factor is :
[tex]$k_t=\frac{130}{112.27}$[/tex]
= 1.157922
If the distance between the source of sound and observer is reduced to one half, then
the intensity of sound will become
Answer:
Let the power delivered by the sound wave be 'P'
Intensity by definition is the power delivered per unit area.
i.e. I =
dA
dP
;
In spherical polar coordinate system dA = r
2
Ω
I =
r
2
Ω
dP
;
I ∝
r
2
1
So if distance increases 3 fold. The Intensity becomes
9
1
times the initial
3.
The mass of a regulation tennis ball is 57 g. Typically during a serve the ball is in contact with the tennis racket for 30 ms. If the serve
was measured at 73.14 m/s what impulse was exerted on the tennis ball?
5.5 kg. m/s
7.8 kgm/s
2.3 kg. m/s
4.2 kg. m/s
The temperature of an ideal gas in a sealed 0.40m3 rigid container is reduced from 350 K to 270 K.The final pressure of the gas is 60 kPa. The molar heat capacity at constant volume of the gas is 28.0 J/(mol K). The heat absorbed by the gas is closest to
Answer:
The answer is below
Explanation:
Given that the volume (V) = 0.4 m³, temperature difference (ΔT) = 270 K - 350 K = -80 K, pressure (P) = 60 kPa = 60000 Pa, R = 8.314 J/molK
Since we have constant volume, we can use the final state parameters to calculate the number of moles using the ideal gas law:
[tex]PV=nRT\\\\n=\frac{PV}{RT} =\frac{60000*0.4}{8.314*270} =10.69\ moles[/tex]
Given that the molar heat capacity at constant volume ([tex]C_v[/tex]) = 28.0 J/(mol K), the heat absorbed (Q) is:
[tex]Q=nC_v\Delta T=10.69*28*(-80) = -23945.6\ J\\\\Q=-23.95\ kJ[/tex]
Q ≈ -24 kJ
What energy transformation takes place when you stretch a bungee cord?
A.
Kinetic energy transforms into potential energy.
B.
Mechanical energy transforms into sound energy.
C.
Elastic energy transforms into kinetic energy.
D.
Potential energy transforms into elastic energy.
Answer:
D.Potential energy transforms into elastic energy.The process of recovering valuable or useful materials from waste or scrap is called
a.
recycling.
c.
rebuilding.
b.
renewing.
d.
reducing.
Please select the best answer from the choices provided
A
B
C
D
Answer:
hi
Explanation:
i will mark brainliest if you get it right.
Answer:
Satellite D
Explanation:
It has more mass
need help please... thank u
Answer:
the answer from my side is both vertical and horizontal
Answer:
Entirely horizontal
Explanation:
The ball begins the movement with horizontal and vertical velocity, but it is subject to the gravity acceleration, that will break the movement. When it achieves the top of the path, is when the vertical velocity go to 0 and begin to grow in the opposite direction, so in the very top of the path, the velocity is entirely horizontal
50cm long copper wire carries 5A current directed towards negative z-axis placed in a region if magneti field of strength 15T applied into the page the magnetic force will be?
Answer:
Your answer is 37.5 N
Explanation:
Force, F = BIL
F = 15 x 5 x 0.5 = 37.5 N
A skier of weight 700 N is pointed down a ski hill that has a slope angle of 25° above horizontal.
What is the component of his weight pulling him down the slope.
O 634N
O 326N
O 296N
O 700N
Answer:
O 296N
Explanation:
F_y = F*sin(x)
F_y = 700N*sin(25°)
F_y = 295.83N or 296N
A bat is flying at 0.6 m/s when it spots an appetizing insect. The bat accelerated at a rate of 1.2m/s2 for 1.9
seconds. How fast is the bat traveling at the time?
Answer:
v_f = 2.9m/s
Explanation:
v_f = v_I + a(t)
v_f = 0.6m/s + 1.2m/s²(1.9s)
v_f = 2.88m/s
v_f = 2.9m/s
Felipe drives his car at a velocity of 28 m/s. He applies the brake, which slows the vehicle down at a rate of 6.4 m/s2 and causes it to slow to a stop. How long does it take for the car to stop? Round your answer to the nearest tenth.
Answer:
Explanation:
Use the one-dimensional equation
[tex]v_f=v_0+at[/tex] where v is the final velocity, v0 is the initial velocity, a is the acceleration, and t is the time it takes to reach that final velocity. We are solving for t. Filling in the other values:
0 = 28 + (-6.4)t and
-28 = -6.4t so
t = 4.4 seconds
Answer:
4.4
Explanation:
the use of thermostat in a gas cooker is to
Explanation:
An oven thermostat regulates the temperature inside an oven. The thermostat's temperature-sensitive probe measures the oven's warmth, switching the heat on and off as necessary to maintain the correct temperature.
If a 5.0Ω resistor, a 9.0Ω resistor, and a 13.0Ω resistor are connected in series with a 24.0 V battery, calculate the total resistance.
0.037Ω
0.89Ω
585Ω
27.0Ω
Answer: 27Ω
Explanation:
Quando o circuito está em série, a resistência total é igual ao somatório das resistências parciais do circuito.
PLEASE HELP WITH THIS QUESTION
Which of Newton's Laws is represented in this demo?
Answer:
Newton's first law
Explanation:
you see, when an object is in motion, it tends to stay in motion, but in your case, if a object is at rest, it usually stays at rest unless acted upon my an unbalanced force which is pulling card from under the coin extremely quick and because you pulled it extremely quick, the coin isn't light enough to be moved easily with the paper, nor enough friction and speed for the coin to continue sticking onto the piece of paper
A.K.A. the coin is heavy, which is why it did not move with the paper
Answer:
Newton's First Law - Law of Inertia
Explanation:
Newton's First Law, the Law of Inertia mentions that an object at rest will stay in rest until acted by another force. The penny's inertia will cause it to fall directly down into the cup because the magnitude of external force applied by the card will be too meager to have a notable effect.
Define time period. Give its formula.
Answer:
Part A
Time period, designated by the symbol, 'T', is defines as the time it takes for a complete cycle of an oscillation or vibration (of a wave) to transit through a given point.
The longer the time period of a wave, the lower the frequency of the wave
The unit of the time period is seconds, 's'
Part B
Mathematically, the formula for the time period is presented as follows;
f = 1/T
∴ T = 1/f
f = v/λ
∴ T = λ/v
Where;
v = The velocity of the wave;
λ = The wavelength of the wave
Explanation:
Which law is stated below?
All forces exist in action-reaction pairs.
A. Newton's third law
B. Newton's first law
C. Newton's second law
D. The law of inertia
Answer:
Maybe the answer is Newton's third law
A weather reporter describes a large area of air that has the same temperature and air pressure . What is the reporter describing ?
Answer:
air mass
Explanation:
Remember, the weather of a particular location is often a description of the atmospheric condition of that particular place.
Indeed, the definition of an air mass fits the reporter's description above. As the name implies, a particular air mass would represent the temperature characteristics of a particular area that has a constant or the same temperature and air pressure.
which factor is least likely to limit the rate of photosynthesis?
- carbon dioxide concentration
- light intensity
- oxygen concentration
- temperature
Answer:
oxygen concentration
Explanation:
Which variable is represented by the following symbol? ∑F
a. Normal Force
b. Applied Force
c. Weight
d. Net Force
An 84% efficient single pulley is used to lift a 230 kg piano 3.5 m. How much work must be input?
Answer:
35%
Explanation:
win
The amount of work required to lift the 230 kg to a height of 3.5 m at 84% efficiency is 9391.67 J
What is efficiency?This can be defined as the capacity to achieve a given task with little or no waste. Mathematically, it can be expressed as
Efficiency = (output / input) × 100
How to determine the work output Mass (m) = 230 KgHeight (h) = 3.5 mAcceleration due to gravity (g) = 9.8 m/s²Work output =?Work output = mgh
Work output = 230 × 9.8 × 3.5
Work output = 7889 J
How to determine the work input Output = 7889 JEfficiency = 84% Input =?Efficiency = (output / input) × 100
84% = 7889 / input
Cross multiply
84% × input = 7889
Divide both side by 84%
Input = 7889 / 84%
Input = 7889 / 0.84
Input = 9391.67 J
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You plan to use a slingshot to launch a ball that has a mass of 0.019 kg. You want the ball to accelerate straight toward your target at 23 m/s2. How much force do you need to apply to the ball?
Answer:
Explanation:
this is a simple application of Newton's 2nd Law: F = ma.
F = .019(23) so
F = .44 N
You would need to apply a force of 0.437 Newtons to the ball in order to achieve the desired acceleration of 23 m/s².
Force is a physical quantity that describes the interaction between objects or systems and their ability to change motion or shape. It is a vector quantity, meaning it has both magnitude and direction. Force can cause an object to accelerate, decelerate, or change direction.
According to Newton's second law of motion, force is directly proportional to the mass of an object and the acceleration it experiences. The equation F = m × a represents this relationship, where F is the force, m is the mass of the object, and a is the acceleration.
Force can be measured in various units, such as Newtons (N) in the International System of Units (SI) or pounds (lb) in the US customary system. Common examples of forces include gravity, friction, tension, compression, and applied forces like pushing or pulling an object.
According to Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m × a
In this case, the mass of the ball is given as 0.019 kg, and the desired acceleration is 23 m/s². Plugging these values into the equation, we can calculate the force:
F = 0.019 kg × 23 m/s²
F = 0.437 kg m/s²
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A hot cube of iron was heated up using 1500 J of thermal energy and was placed in a beaker of water. Before it was heated, the iron cube was 20.0 ˚C. The cube of iron raised the temperature of the water to 45.0 ˚C. If the iron cube has a mass of 133 g, what is the specific heat capacity of iron?
Answer:
451.13 J/kg.°C
Explanation:
Applying,
Q = cm(t₂-t₁)............... Equation 1
Where Q = Heat, c = specific heat capacity of iron, m = mass of iron, t₂= Final temperature, t₁ = initial temperature.
Make c the subject of the equation
c = Q/m(t₂-t₁).............. Equation 2
From the question,
Given: Q = 1500 J, m = 133 g = 0.113 kg, t₁ = 20 °C, t₂ = 45 °C
Substitute these values into equation 2
c = 1500/[0.133(45-20)]
c = 1500/(0.133×25)
c = 1500/3.325
c = 451.13 J/kg.°C
A bus start from rest the aaceleration of the bus after 5 seconds become 10m/s2 find the final velocity of the bus
Answer:
The final velocity is 50 m/s.
Explanation:
Below is the calculation of velocity:
v = u + a*t
v = final velocity
u = initial velocity
a = accreleration
Since, u = 0, a = 10m/s^2, and t = 5 seconds. Now plug these values in the formula.
v = u + a*t
v = 0 + 10 x 5
v = 50 m/s
The final velocity is 50 m/s.
when two capacitors are connected in series, the effective capacitance is 2.4muF and when connected in parallel, the effective capacitance is 10muF. calculate the individual capacitances.
Answer:
let one capacitor be x and other be y
[tex]in \: parallel \: connection : \\ \frac{x + y}{xy} = 10 \times {10}^{ - 6} - - - (a) \\ in \: series \: connection : \\ x + y = 2.4 \times {10}^{ - 6} - - - (b) \\ in \: (a) : \\ \frac{2.4 \times {10}^{ - 6} }{xy} = 10 \times {10}^{ - 6} \\ xy = 0.24 - - - (c) \\ from \: (b) : \\ y = (2.4 \times {10}^{ - 6} ) - x \\ \therefore \: in \: (c) : \\ x(2.4 \times {10}^{ - 6} - x) = 0.24 \\ 2.4 \times {10}^{ - 6} x - {x}^{2} = 0.24 \\ {x}^{2} - 2.4 \times {10}^{ - 6} x - 0.24 = 0 \\ x = 0.5 \\ 0.5y = 0.24 \\ y = 0.48 \\ { \boxed{ C _{1} = 0.5 \: farads}} \\ { \boxed{C _{2} = 0.48 \: farads}}[/tex]
a que velocidad en km/h corrio usain bolt en el capeonato mundial de berlin en 2009 para batir el record mundial de los 100 m planos en 9.58
Answer:
v = 37.59 km/h
Explanation:
The question says, "how fast in km / h did usain bolt run at the berlin world championship in 2009 to break the world record for the 100m sprint in 9.58".
Distance, d = 100 m = 0.1 km
Time, t = 9.58 s = 0.00266 h
We need to find the speed of the Usain Bolt. We know that,
Speed = distance/time
So,
[tex]v=\dfrac{0.1}{0.00266}\\\\v=37.59\ km/h[/tex]
So, the required speed is equal to 37.59 km/h.
What is the force between two charged objects called ?
Answer:
Coulomb force
Explanation:
The electric force between charged bodies at rest is conventionally called electrostatic force or Coulomb force. The force is along the straight line joining the two charges.
1. A boat is floating on the water.
One of the forces acting on the boat is the weight. This is the force of the Earth on the boat.
a
State the other force in this interaction pair.
(1 mark)
Answer:
Gravity
Explanation:
Because without gravity thee would be no boat floating on water
A person weighs 60 kg. The area under the foot of the person is 150 cm2. Find the pressure exerted on the ground by the person. (Take g 10m/s2)
Answer:
40000 N/m²
Explanation:
Applying,
P = F/A................... Equation 1
Where P = Pressure, F = Force, A = Area.
From the question,
The force(F) exerted by the person's foot is thesame as it's weight.
F = W = mg............ Equation 2
Where m = mass of the person, g = acceleration due to gravity.
Substitute equation 2 into equation 1
P = mg/A................ Equation 3
Given: m = 60 kg, g = 10 m/s², A = 150 cm² = (150/10000) m² = 0.015 m²
Substitute these values into equation 3
P = (60×10)/0.015
P = 600/0.015
P = 40000 N/m²
1. What is the voltage if a resistance of 25 produces a current of 250
amperes?
The relationship between electric current and potential difference is stated by Ohm's law. Most conductors' current is directly inversely proportional to the voltage applied to them. German physicist Georg Simon Ohm was the first to empirically confirm Ohm's law.
What is the unit of Ohm's law?The expression for Ohm's law is V I. As a result, V = RI, where R is the resistance constant. R is influenced by the conductor's material, size, and other factors. Ohm () is its SI unit.
Ohms to volts conversion using the formula watts volts = watts ohms. or.
V = √W × Ω Example.
Given that,
Voltage (v) = 250 V
Resistance (R) = 25 Ω,
Determine current (I) =?
We know that from ohm's law
V = I R
I = V/R
I = 250 / 25
I = 10 A
Current in the circuit is 10 Amps.
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