Answer:
3.33m
Explanation:
Given parameters:
Force applied =500N
Elastic constant = 150N/m
Unknown:
Amount of stretch or extension = ?
Solution:
To solve this problem use the expression below:
F = k e
F is the force applied
k is the elastic constant
e is the extension
So;
500 = 150 x e
e = \(\frac{500}{150}\) = 3.33m
A food processor draws 8.47 A of current when connected to a potential difference of 110 V.
How much electrical energy is consumed by this food processor monthly (30 days) if it is used on average of 10.0 min every day?
Answer:
27.95[kW*min]
Explanation:
We must remember that the power can be determined by the product of the current by the voltage.
\(P=V*I\)
where:
P = power [W]
V = voltage [volt]
I = amperage [Amp]
Now replacing:
\(P=110*8.47\\P=931.7[W]\)
Now the energy consumed can be obtained mediate the multiplication of the power by the amount of time in operation, we must obtain an amount in Kw per hour [kW-min]
\(Energy = 931.7[kW]*30[days]*10[\frac{min}{1day} ]=279510[W*min]or 27.95[kW*min]\)
Find the acceleration of a car that goes from 16 m/s to 48 m/s in 8 seconds. Help asappp and put units plssss
Answer:
48 m/s - 16 m/s = 32 m/s
(32 m/s )/ (8 s) = 4 m/s²
An object travels a distance of 350 km at a rate of 25 m/s. What is the
time it takes to do that?
Answer:
t = 1400 s
Explanation:
Given that,
Distance covered, d = 350 km = 350000 m
Speed of the object, v = 25 m/s
We need to find the time it takes to do that. Let the time is t. The formula for the speed of an object is given by :
v = d/t
i.e.
\(t=\dfrac{d}{v}\)
Putting all the values,
\(t=\dfrac{350000}{25}\\\\=1400\ s\)
So, the time taken by it is 1400 seconds.
You are cooking spaghetti and you look into the pot of boiling water before you put the spaghetti in. You notice the water moving around in the pot. What type of thermal energy transfer occurs to heat the water?
Answer:
Heat transfer is an exchange of thermal energy between two objects. The rate of heat transfer depends upon the temperatures of each entity and the medium through which the thermal energy is being transferred. In cooking, heat transfer refers to heating your food items through a cooking appliance, such as a stove, fryer, microwave, or oven.
Explanation:
I hope it helps
Answer:
Convection
Convection is heat transfer by mass motion of a fluid such as air or water when the heated fluid is caused to move away from the source of heat, carrying energy with it. Convection above a hot surface occurs because hot air expands, becomes less dense, and rises (see Ideal Gas Law).
Explanation:
hope this helps:-)
What kinds of materials generally have the lowest specific heats?
Answer:
Iron and lead generally have low specific heats.
Use the pressure meter to read the pressure in Fluid A at the bottom of the tank. Do not move the pressure meter. Switch to Fluid B and read the pressure in fluid B. Based on the two readings, compare the density of fluid B to the density of fluid A. Which statement is correct?
Answer:
\(P_b = \frac{\rho_b}{\rho_a} \ P_a\)
Explanation:
The pressure at a depth of a fluid is
P = ρ g y
where ρ is the density of the fluid, y the depth of the gauge measured from the surface of the fluid.
In this case the pressure for fluid A is
Pa = ρₐ g y
the pressure for fluid B is
P_b = ρ_b g y
depth y not changes as the gauge is stationary
if we look for the relationship between these pressures
\(\frac{P_a}{P_b} = \frac{ \rho_a}{\rho_b}\)
\(P_b = \frac{\rho_b}{\rho_a} \ P_a\)
therefore we see that the pressure measured for fluid B is different from the pressure of fluid A
if ρₐ < ρ_b B the pressure P_b is greater than the initial reading
ρₐ> ρ_b the pressure in B decreases with respect to the reading in liquid A
Light travelling in air striked a flat piece of uniformly thick glass at an incident of 60. If the index refraction of the glass is 1.50 what is the angle of refraction in the glass
Answer:
30.81°
Explanation:
Angle of refraction= sin⁻¹ 0.5122 = 30.81°.
Hope this helped!
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An object absorbs red, orange, yellow, blue, indigo, and violet light. What color is it?
A. blue
B. green
C. indigo
D. red
Answer: B. Green
Explanation:
Since the object absorbs all the other options listed here, it will reflect green light. This makes the object appear green to our eyes.
Blue (A), indigo (C), and red (D) are listed in red, orange, yellow, blue, indigo, and violet. Green is not, so this is our answer.
Fun fact:
An example of this is grass!
Answer:
green
Explanation:
Suppose a ball is thrown vertically upward (positive direction) from an initial height LaTeX: h_0 with initial velocity LaTeX: v_0. Find the position function LaTeX: s(t) of the ball after LaTeX: t seconds assuming the gravitational acceleration LaTeX: g is a positive constant pointing downward (negative direction).
After time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
The given parameters;
initial velocity of the ball, = \(v_0\)initial position of the ball, = \(h_0\)acceleration due to gravity, = gThe position function of the ball after time t, is calculated as follows;
\(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
The negative sign of acceleration of due to gravity is because the ball is moving upward against gravity.
Thus, after time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)
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A water skier has a mass of 86 kg and accelerates at 2 m/s2. What is the net force acting on him?
Ο Α.
0.0233 N
2
B.
43 N
C. 84N
D.
172 N
Answer:
F = 172 N
Explanation:
Newton's second law of motion gives the amount of force acting on an object. Mathematically, it is given by :
F=ma
Put m =86 kg and a = 2 m/s²
So,
\(F=(86\times 2)\ N\\\\F=172\ N\)
Hence, the net force is 172 N.
Por que nos dias de hoje o futebol é mais técnico, com mas estratégias e mais disputado?
Explanation:
\(which \: language \: is \: this\)
\(pls \: write \: in \: english\)
\(then \: only \: i \: can \: answer \: u\)
\(otherwise \: sry\)
3. Calculate the radii of the first five Fresnel zones if the distance from the light source to the wave surface is 1m, the distance from the wave surface to the observation point is also 1m and the light wavelength is 0.0000005m. (0.50mm; 0.71mm; 0.86mm; 1.0mm; 1.12mm).
The radii of the first five Fresnel zones is 3.6 mm.
Distance from the light source to the wave surface, d₁ = 1 m
Distance from the wave surface to the observation point, d₂ = 1 m.
Wavelength of the light used, λ = 5 x 10⁻⁶m = 5 μm
The expression for the radius of the Fresnel zones is given by,
rₙ = √[nλd₁d₂/(d₁ + d₂)]
Therefore, the radii of the first five Fresnel zones is,
r₅ = √[5 x 5 x 10⁻⁶x 1 x 1/(1 + 1)]
r₅ = √(25 x 10⁻⁶/2)
r₅ = 3.6 x 10⁻³m
r₅ = 3.6 mm
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Tonya is modeling the discovery of electromagnetic induction. Which procedure should she use? moving a magnet into a coil of wire in a closed circuit moving a magnet into a coil of wire in an open circuit bringing a compass near a wire that has no electric current bringing a compass near a wire that has an electric current
To model the discovery of electromagnetic induction, Tonya should use the procedure of moving a magnet into a coil of wire in a closed circuit.
Tonya should use the procedure of moving a magnet into a coil of wire in a closed circuit.
Electromagnetic induction refers to the phenomenon of generating an electric current in a conductor by varying the magnetic field passing through it. This concept was discovered by Michael Faraday in the early 19th century. To model this discovery, Tonya needs to recreate the conditions that led to this breakthrough.
In Faraday's experiment, he observed that when a magnet is moved into or out of a coil of wire, it induces an electric current in the wire. This occurs when the magnetic field passing through the coil changes. Therefore, Tonya should use a similar setup to replicate this process.
Out of the given options, the most appropriate procedure for Tonya would be to move a magnet into a coil of wire in a closed circuit. By having a closed circuit, it means that the ends of the wire are connected to form a complete loop. When the magnet is moved into the coil, the changing magnetic field induces an electric current to flow through the wire.
This procedure demonstrates the principle of electromagnetic induction and shows how a changing magnetic field can produce an electric current. It allows Tonya to visually observe the effects of the induced current, which is essential in modeling the discovery of electromagnetic induction.
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An object of mass 2kg moves in circles at radius 8m at uniform speed of 30m/s calculate. A_angular velocity B_ceritripetal force
The angular velocity is 3.75 m/s and the centripetal force is 225 N respectively.
The angular velocity of an object with respect to some extent is a degree of the way rapid that item actions through the point's view, within the feel of the way speedy the angular function of the item modifications. An instance of angular pace is a ceiling fan. One blade will whole a complete round in a certain amount of time T, so its angular speed with respect to the middle of the ceiling fan is twoπ/T.
Calculation:-
A. angular velocity ω = v/r
= 30 /8
= 3.75 m/s
B. Centripetal force = mv²/r
= 2×30²/8
= 225 N
There are 3 formulations we will use to find the angular velocity. the primary comes instantly from the definition. The angular pace is the rate of alternate of the position attitude of an object with respect to time, so w = theta / t, in which w = angular pace, theta = position attitude, and t = time.
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Subtract the following numbers, using scientific notation and the correct number of significant digits.
6.94 × 103 mm - 4.5 × 102 mm = _____.
2.4 × 103 mm
2.44 × 102mm
6.49 × 103 mm
6.5 × 103 mm
Answer:
The correct answer is - 6.49 × 10^3 mm.
Explanation:
The correct scientific notation of the given subtraction problem is:
6.94 × 10^3 mm - 4.5 × 10^2 mm = _____.
The correct number of significant digits is
a. 6.94 × 10^3 mm = 3
b. 4.5 × 10^2 mm = 2
So subtracting the 6.94 × 10^3 mm - 4.5 × 10^2 mm
= 6940 - 450
= 6.49× 10^3 mm.
Answer:
6.5x 10^3 mm
Explanation:
Sawyer received two tubes of solution at 10 a.m., four tubes of solution at 12 p.m., eight tubes of solution at 3 p.m. and six tubes of liquid at 6 p.m. Sawyer was told to divide the solution among five patients. How many tubes of solution did each patient get? Explain your process in the space below.
Using the division operation, the number of tubes gotten by each patient can be obtained by dividing 20 by 5. Hence, each patient will get 4 tubes of solution.
Tubes of solution received :
10 a.m = 2 tubes 12 p.m = 4 tubes 3 p.m = 8 tubes 6 p.m = 6 tubesTotal tubes received :
(2 tubes + 4 tubes + 8 tubes + 6 tubes) = 20 tubes Number of patients = 5 patientsNumber of tubes of solution gotten by each patient :
(Total tubes of solution ÷ number of patients)Tubes of solution per patient = (20 ÷ 5) = 4 tubes
Therefore, each patient will get 4 tubes of solution.
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what is the mass of an object that is accelerating at 15 m/s when a force of 2000N is exerted
Answer:
133.33 kgExplanation:
The mass of an object can be found by using the formula
\(m = \frac{f}{a} \\ \)
f is the force
a is the acceleration
From the question we have
\(m = \frac{2000}{15} = \frac{400}{3} \\ = 133.3333\)
We have the final answer as
133.33 kgHope this helps you
a 0.40 kg object is moving on a frictionless surface with a speed of 30 m/s. A force of 2.0N is applied continually until the velocity of the object has been reversed. How long was the force applied?
The time the force was applied to the obeject of mass 0.4 kg is 12 seconds
What is impulse?
Impulse is the product of force and time.
To calculate how long the force was applied, we use the formula of impulse.
Formula:
Ft = m(v-u).................. Equation 1Where:
F = Forcet = Timem = Massv = Final velocityu = Initial velocityFrom the question,
Given:
m = 0.4 kgv = -30 m/s (reversed)u = 30 m/sF = -2.0 N (Acting against the direction of motion)Substitute these values into equation 1 and solve for t
-2.0t = 0.4(-30-30)-2.0t = -24t = -24/-2t = 12 secondsHence, the time is 12 seconds
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A shot-putter accelerates a 7.5 kg shot from rest to 12 m/s .
If this motion takes 1.6 s , what average power was developed?
Express your answer using two significant figures.
From the calculations, the power developed is 337.5 W.
What is the power developed?First we must obtain the acceleration from;
v = u + at
u = 0 m/s because the motion started rom rest
v = at
a = v/t
a = 12 m/s/ 1.6 s
a= 7.5 m/s^2
The force is obtained from;
F = ma = 7.5 kg * 7.5 m/s^2 = 56.25 N
Now the distance covered is obtained from';
v^2 = u^2 + 2as
v^2 = 2as
s = v^2/2a
s = (12)^2/2 * 7.5
s = 9.6 m
Now;
Work = Fs = 56.25 N * 9.6 m = 540 J
Power expended = 540 J/ 1.6 s = 337.5 W
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Find the direction of this vector.
80.0°
B-18.6 m
0 = [?]°
Hint: Remember, 0 is the direction of the
vector and is measured from the +x-axis.
The direction of the given vector B of 18.6 m that is 80° left of the positive y-axis is 170°
Angle of the vector made with positive y-axis = 80°
Angle between positive x and y axis = 90°
Direction of B, θ = 90° + 80°
θ = 170°
Direction of a vector is the angle of the vector that is made with positive x-axis. A vector with a certain direction of certain degrees means that the vector is rotated that much degrees in counter-clockwise direction relative to positive x-axis.
Therefore, the direction of the vector B is 170°
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A dead body was found at 10pm. The internal boy temperature was 68 OF. What was the time of death?
A safety plug is designed to melt when the pressure inside a metal tank becomes too high. A gas
at 51.0 atm and a temperature of 23.0°C is contained in the tank, but the plug melts when the
pressure reaches 75.0 atm. What temperature did the gas reach?
What do scientists collect to answer questions and support ideas? O A. Hypotheses OB. Opinions O C. Theories D. Evidence
Answer:
The answer is D.
Explanation:
A Hypothesis is what they think is gonna happen or n educated guess. An opinion is someone's point of view on something. A theory is an idea intended to explain something. Evidence is an object you collect to find out something and it helps support your research. Evidence matches your question best.
Which of the following would you expect to be a strong electrolyte in solution?
The following would expect to be a strong electrolyte in solution (b) KCI is correct option.
When dissolved in water, a strong electrolyte produces a large concentration of ions in solution by totally dissociating into ions. The following compounds are typically strong electrolytes in solution according to this definition:
Al(OH)₃ (aluminum hydroxide) is a weak electrolyte. It does not dissociate significantly into ions in solution, resulting in a low electrical conductivity.KCl (potassium chloride) is a strong electrolyte. It completely dissociates into potassium ions (K⁺) and chloride ions (Cl⁻) in solution, resulting in a high concentration of ions and a high electrical conductivity.PbI₂ (lead(II) iodide) is a weak electrolyte. It does not dissociate significantly into ions in solution, resulting in a low electrical conductivity.These substances readily dissociate into ions in water and exhibit high electrical conductivity, making them strong electrolytes in solution.
Therefore, the correct option is (b).
The complete question is,
Which of the following would be a strong electrolyte in solution?
a) Al(OH)₃ b) KCI c) Pbl₂
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What is the average velocity if the initial velocity of an object is 10 m/s & the final velocity is 28 m/s
Answer:
\(v_{1} = 19 m/s\)
Explanation:
\(v_{1} = \frac{(v_{2} + u)}{2}\), where \(v_1\) = avg. velocity, \(v_2\) = final velocity, and \(u\) = initial velocity.
You want to throw a baseball over a wall that has a height of 10.0 m (relative to your release point) and is6.00 m away from you. Assume that the wall is negligibly thick and the baseball is small enough that youconsider it as a point particle. Ignore air resistance. What is the minimum initial speed that the ball can have and still clear the wall?
Answer:
v₀ = 14.6 m / s
Explanation:
This is a projectile launch exercise, in this case we must stop the wall, we can assume that at this point the ball is at its maximum height
as the height is maximum its vertical speed is zero
v_{y} = \(v_{oy}\) - g t
y = v_{oy} t - ½ g t²
the horizontal distance is
x = v₀ₓ t
we use trigonometry to find the components of the velocity
sin θ = v_{oy} / v₀
cos θ = v₀ₓ / v₀
v₀ₓ = v₀ cos θ
v_{oy} = v_{o} sin θ
we substitute the values
0 = v₀ sin θ - g t
10 = v₀ sin θ t - ½ g t²
6 = v₀ cos θ t
we have three equations and three unknowns by which the system can be solved
let's use the first and second equations,
10 = (gt) t - ½ g t²
10 = g t² - ½ g t²
10 / 9.8 = t² (1- ½)
1.02 = ½ t²
t = √ 2.04
t = 1,429 s
this is the time to hit the wall
now let's use the first and third equations, we substitute the data
v₀ sin θ = g t
v₀ cos θ = x / t
we divide and simplify
tan θ = g t² / x
θ = tan⁻¹ g t² / x
θ = tan⁻¹ (9.8 1.429²/6)
θ = 73.3°
we substitute in the third equation
x = v₀ cos 73.3 t
v₀ = x / t cos 73.3
v₀ = 6 / (1.429 cos 73.3)
v₀ = 14.6 m / s
Hey I have a question. " How do I make bacon stop shrinking without the flavor coming out? I tried cold water with the video, but it took flavor out.
a student throws a coin vertically downward frok the top of a building. the coin leaves the throwers hand with a speed of 15.0m/s. what is its speed after falling freely for 2.00s?
Answer:
Final speed after 2 seconds = 34.6 m/s
Explanation:
Given:
Initial speed of coin (u) = 15 m/s
Time taken = 2 seconds
Find:
Final speed after 2 seconds
Computation:
Gravitational acceleration of earth = 9.8 m/s²
Using first equation of motion;
v = u + at
or
v = u + gt
where,
v = final velocity
u = initial velocity
g = Gravitational acceleration
t = time taken
v = 15 + 9.8(2)
v = 15 + 19.6
Final speed after 2 seconds = 34.6 m/s
Optics 1. An object 2 cm high is placed 30 cm from a concave mirror with a radius of curvature of 10 cm. Find the position and size of the image.
Size of the image 0.4cm
Distance u =−30cm
Height h = 2cm
Radius of curvature R = 10cm
We know that,
-f = R/2 = 10/2 = -5 cm
Now, using the mirror’s formula
1/f = (1/v) + (1/u)
-1/5 = (1/v) - (1/30)
v = 6cm
Now, the magnification is
m = -v /u = -6 / -30 = 0.2
We know that,
m = h`/h
0.2 = h`/2
he = 0.4 cm
What is optics?Optics is the branch of physics that studies the behaviour and properties of light, including its interaction with matter and the structure of instruments that use or detect it. Optics typically describes the behaviour of visible, ultraviolet and infrared light.
Three main branches of optical science
Geometrical optics, the study of light as rays. Physical optics, the study of light as waves. Quantum optics, the study of light as particleTo learn more about optics, visit;
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Do you think the "energy" used by people and the energy used by cars is the same thing? Why or why not? *
Answer:No
Explanation:Because car use the energy produced by the car battery and humans get energy from the food they eat