Answer:
An object that does not vibrate cannot produce sound
What is the best insulator?
A) copper
B) aluminum
C) a soda can
D) a staple
E) rubber
Answer:
E
Explanation:
All others conduct electricity and heat.
Answer:
E.Rubber
Explanation:
Rubber is the best insulator, they have them coated around electricity wires, while metals are good conductors.
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In y = mx + b, the y-intercept is given by the value of m.
Answer:
False
Explanation:
In the linear equation y = mx + b, b is the y-intercept and mx is the slope.
The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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newton’s first law is a description of what basic property of our universe?
Newton's first law is a description of the basic property of inertia in our universe. It states that an object at rest will remain at rest, and an object in motion will remain in motion at a constant velocity, unless acted upon by an external force. This law reflects the fundamental principle that objects in the universe tend to maintain their state of motion, whether at rest or in motion, unless acted upon by a force.
Newton's first law, also known as the law of inertia, is a description of the basic property of our universe that objects will maintain their state of motion unless acted upon by an external force. In simpler terms, an object at rest will stay at rest and an object in motion will continue in its motion with a constant velocity unless a force is applied to change its state. This principle is fundamental to understanding the behavior of objects in our universe.
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what is the dimensional consistency of s = Vot + 1/2 at2
Answer:
The formula is dimensionally consistent
Explanation:
Dimensional Analysis
There are three fundamental magnitudes in Physics:
L = Length
T = Time
M = Mass
All the formulas and equations that use physical magnitudes must be consistent in their units.
For example, the formula:
\(\displaystyle s=v_ot+\frac{1}{2}at^2\)
Is used to calculate the distance traveled by an object, knowing its initial speed vo, acceleration a, and time t.
The units for each magnitude are:
s = L
vo = L/T or \(LT^{-1}\)
a = L/T^2 or \(LT^{-2}\)
Let's analyze the dimensions of the magnitudes in the formula (the constant 1/2 is neglected because it doesn't affect the dimensional analysis):
\(\displaystyle L=L/T*T+L/T^2*T^2\)
The first term simplifies to L because the T's simplify. The same happens with the second term, the squared T's simplify:
\(\displaystyle L=L+L\)
Thus the formula is dimensionally consistent
what is mach number?
Mach number is "the ratio of the speed of a body to the speed of sound in the surrounding medium" (Oxford Languages). Put simply, it's a ratio comparing the local flow velocity to the speed of sound in the medium.
It is represented with the following formula. M is the mach number, u is the local flow velocity, and c is the speed of the sound in the medium.
\(\boxed{\displaystyle M=\frac{u}{c} }\)
Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b=7 and stiffness constant k=6. Suppose the external forces on the weight are: F ext
(t)=−6te −3t
+e −3t
. y ′′
+7y ′
+6y=−6te −3t
+e −3t
a) Show y(t)=te −3t
is a possible position function for this weight. y ′1
+7y ′
+6y=−6tc −3t
+e −3t
r 2
+7r+6=0
(r+a)(r+1)
e −6t
e −t
y=1e −4t
+1e −t
y ′
=−61)e −4t
+Ae t
y ′
=−609e −4t
+e −+
(6,6e −4t
)+Me −t
b) Find a general equation for all possible position functions. y=Ae −6t
+AC 2
=−6+e 3t
+e −3t
(10 points) c) Find the exact motion equation for this weight if its initial position is y(0)=3, and its initial velocity is v(0)=y ′
(0)=
a) y(t) = te⁻³ᵗ is a possible position function.
b) General equation: y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B).
c) Exact motion equation: y(t) = (23/5)e^(-2t) - (8/5)e^(-3t) + t(e^(-3t))(At + B), with initial conditions y(0) = 3 and v(0) = -7.
a) To show that y(t) = te⁻³ᵗ is a possible position function, we substitute it into the differential equation:
y(t) = te⁻³ᵗ
y'(t) = e⁻³ᵗ - 3te⁻³ᵗ
y''(t) = -6e⁻³ᵗ + 9te⁻³ᵗ
Substituting these expressions into the differential equation, we have:
-6e⁻³ᵗ + 9te⁻³ᵗ + 7(e⁻³ᵗ - 3te⁻³ᵗ) + 6(te⁻³ᵗ) = -6te⁻³ᵗ - e³ᵗ
Simplifying this equation, we find that both sides are equal, thus confirming that y(t) = te⁻³ᵗ is a possible position function.
b) The general equation for all possible position functions can be written as:
y(t) = C₁e^(-2t) + C₂e^(-3t) + t(e^(-3t))(At + B)
c) Given the initial conditions y(0) = 3 and y'(0) = v(0) = -7, we substitute these values into the general equation and solve for the constants:
3 = C₁ + C₂
-7 = -2C₁ - 3C₂
Solving these equations, we find C₁ = 23/5 and C₂ = -8/5.
The exact motion equation for the weight is:
y(t) = (23/5)e⁻²ᵗ - (8/5)e⁻³ᵗ + t(e⁻³ᵗ)(At + B)
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Suppose a weight of 1 kg is attached to an oscillating spring with friction constant b = 7 and stiffness constant k = 6. Suppose the external forces on the weight are: Fₑₓₜ(t) = - 6te⁻³ᵗ - e³ᵗ
y" + 7y' + 6y = - 6te⁻³ᵗ - e³ᵗ
a) Show y(t) = te⁻³ᵗ is a possible position function for this weight.
b) Find a general equation for all possible position functions.
c) Find the exact motion equation for this weight if its initial position is y(0) = 3, and its initial velocity is v(0) = y'(0) = -7.
A 40.0 kg object is experiencing a net force of 240 N while traveling in a circle of radius 0.8 m. What is its velocity?
A 40.0 kg object is experiencing a net force of 240 N while traveling in a circle of radius 0.8 m. Its velocity is 2.19 m/s.
To find the velocity of the object, we can use the formula:
Force = (mass x velocity²) / radius
Here, Force = 240 N, mass = 40.0 kg, and radius = 0.8 m
Solving for velocity, we get:
240 N = (40.0 kg x velocity²) / 0.8 m
240 N x 0.8 m = 40.0 kg x velocity²
192 Nm = 40.0 kg x velocity²
velocity² = 192 Nm / 40.0 kg
velocity² = 4.8 m²/s²
velocity = √(4.8 m²/s²)
velocity = 2.19 m/s
Therefore, the velocity of the object is 2.19 m/s.
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Help plz .............................
a cube balanced with one edge in contact with a table top and with its center of gravity directly above the edge is in
This is an interesting scenario! When a cube is balanced with one edge in contact with a table top and with its center of gravity directly above the edge, it is said to be in a state of unstable equilibrium. This means that even a slight disturbance could cause the cube to fall over.
To understand this concept, it is important to first understand what center of gravity means. The center of gravity is the point where the weight of an object is evenly distributed in all directions. In a cube, this point is located at the geometric center of the cube.
Now, in the scenario described, the cube is resting on one of its edges. This edge is acting as a pivot point or fulcrum. When the cube is in this position, its center of gravity is located directly above the pivot point. This means that the weight of the cube is evenly distributed on either side of the pivot point.
However, since the cube is in a state of unstable equilibrium, any slight disturbance could cause the weight distribution to shift. For example, if the table were to vibrate or if there were a gust of wind, the weight distribution could shift slightly, causing the cube to fall over.
When a cube is balanced with one edge in contact with a table top and with its center of gravity directly above the edge, it is in a state of unstable equilibrium. This means that even a slight disturbance could cause the cube to fall over.
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what factors does the resistance offered by a piece of conductor depend upon?
The resistance offered by a piece of conductor depends on several factors. These include the material of the conductor, the length of the conductor, the cross-sectional area of the conductor, and the temperature of the conductor.
The material of the conductor is important because different materials have different resistivities, which is a measure of how easily a material conducts electricity. For example, copper has a lower resistivity than steel, so a copper wire will have less resistance than a steel wire of the same length and cross-sectional area.
The length of the conductor is also a factor because the longer the wire, the more resistance it will have. This is because there is more wire for the current to flow through, and this increases the resistance.
The cross-sectional area of the conductor is important because the larger the area, the more current can flow through the wire. This is because there is more space for the electrons to move through, which reduces the resistance.
Finally, the temperature of the conductor can also affect its resistance. As the temperature increases, the resistance of the wire also increases. This is because at higher temperatures, the atoms in the wire vibrate more, which makes it more difficult for electrons to flow through the wire.
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8
The range of a target is found to be 20 km. A
shell leaves a gun with a velocity of 500 ms-'.
What must be the angle of elevation of the gun
if the ground is level?
A proton moving at 5. 0 × 104m/s horizontally enters a region where a magnetic field of 0. 12 t is present, directed vertically downward. what is the direction of the force?
The direction of magnetic field force will not change.
What is a Magnetic field?
We must first comprehend how a charged particle moves in a constant magnetic field. Imagine B is the particle charge, the constant magnetic field q is emitted with a speed v in the magnetic field's uniformity.
Mathematically, the force resulting from moving the charged particle in a uniform magnetic field is stated as:
F=qv ×B
We will now calculate the force that results from moving the proton in a consistent magnetic field. In a homogeneous magnetic field, the magnetic force on a moving charged particle is represented as
F=q v B sinθ
=1.6×10-19×5×104×0.12×sin90° (v ⊥B : θ=90°)
=1.6×10-19×5×104×0.12×1
⇒ F =9.6×10-16N
No, it won't change since the proton is a positively charged particle and its route is perpendicular to the magnetic field; as a result, the magnetic field, which is "directed vertically downward," won't alter the proton's charge.
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If 3.5 waves have a distance of 42M what is the wavelength of one wave?
Please please please tell me how you exactly found the answer!!
Answer:
The answer is 12
Explanation:
Just divide 42/3.5
A 1020-ft3 tank is lled with dirty water, with 30% of ground in it. Cleaner water, with only 0.5% of ground, is poured into the tank at a constant rate of 10 ft3 per minute. The uniformly mixed solution of water and ground flows out of the tank at the same rate. After how many minutes will the concentration of ground in the tank be 15.25%? Caution: while writing out the formulas, keep in mind whether you are considering the amount of salt in the tank or its concentration
After approximately 2.95 minutes, the concentration of ground in the tank will be 15.25%.
To solve this problem, we need to consider the amount of ground (salt) in the tank rather than its concentration. Let's break down the problem and solve it step by step:
Initial Conditions:
Volume of the tank:\(1020 ft^3\)
Initial concentration of ground in the dirty water: 30%
Concentration of ground in the cleaner water: 0.5%
Rate of pouring cleaner water: 10 ft^3 per minute
Let's denote the time in minutes as "t". At time t, the following variables will be applicable:
Volume of the dirty water in the tank: (1020 - 10t) ft^3 (due to pouring cleaner water and outflow)
Amount of ground in the dirty water: 0.3 * (1020 - 10t) ft^3 (30% concentration)
As cleaner water is poured into the tank at a rate of 10 ft^3 per minute, the amount of ground in the tank decreases at the same rate. Therefore, the rate of decrease in the amount of ground is 0.5% of 10 ft^3 per minute.
Differential Equation for the amount of ground in the tank:
\(dG/dt = -0.005 * 10\\dG/dt = -0.05 ft^3 \:per \:minute\)
Integrating the differential equation, we get:
\(G(t) = -0.05t + C\)
We can find the constant C using the initial condition:
\(G(0) = 0.3 * 1020 ft^3\) (initial amount of ground in the dirty water)
\(0 = -0.05 * 0 + C\\C = 0.3 * 1020 \:ft^3\)
The equation for the amount of ground in the tank as a function of time becomes:
\(G(t) = -0.05t + 0.3 * 1020 ft^3\)
We want to find the time t at which the concentration of ground in the tank is 15.25%. Since concentration = amount/volume, we can set up the equation:
\(\frac{(0.1525 * (1020 - 10t))}{(1020 - 10t) = G(t) / (1020 - 10t)}\)
Simplifying the equation, we get:
\(0.1525 = -0.05t + 0.3\)
Solving for t, we find:
t = 2.95 minutes
Therefore, after approximately 2.95 minutes, the concentration of ground in the tank will be 15.25%.
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A scientist wants to measure the thickness of an aeroplane wing using ultrasound.
She has an electronic source and timer which generates a sound wave of wavelength 20 cm and frequency 29000 Hz
She places the device on the top surface of the wing. It takes 0.32 ms for the sound wave to travel to the bottom of the wing and reflect back to the receiver.
Calculate the thickness of the wing to two significant figures.
Answer:
High pitch means small wavelength, and the size of a musical instrument is directly related to the wavelengths of sound it produces. So a small instrument creates short-wavelength sounds. Similar arguments hold that a large instrument creates long-wavelength sounds.
Explanation:
Convex lens of focal length 30cm combined with concave lens of focal length 15 cm. Find combined focal length, Power and nature of combination
Convex lens of focal length 30cm combined with concave lens of focal length 15 cm. The combined focal length is 20 cm. The power of a lens is defined as the reciprocal of the focal length of a lens in meters which is, P = 5 D (diopters). The combination of convex and concave lenses will act like a convex lens.
To find the combined focal length, power, and nature of the combination of a convex lens of focal length 30 cm combined with a concave lens of focal length 15 cm, follow the steps below:
Combined focal length:
Use the lens formula for the convex and concave lenses and the given values.
Focal length (f) = 30 cm for the convex lens
Focal length (f) = -15 cm for the concave lens
Using the lens formula:
1/f = 1/v - 1/u
1/f = (v - u) / uv
v = focal length of the combination of lenses
u = object distance
For the combination of lenses:
u = object distance
v1 = distance from object to the concave lens
v2 = distance from the concave lens to the convex lens
v = distance from the convex lens to the image
Given:
f1 = focal length of convex lens = 30 cm
f2 = focal length of concave lens = -15 cm
v1 = -f2 = -(-15) = 15 cm
By combining the convex and concave lenses, the final image will be formed on the same side as the object. Thus, the sign convention for u and v will be positive. Therefore, using the lens formula, the value of v will be given by:
1/f = 1/v - 1/u
1/f = (v - u) / uv
v = 1/f1u + 1/f2
v = 1/30(0.5) + 1/(-15)(0.5) + 0.5
v = -6 cm
The combined focal length is the distance between the optical center and the focal point of the lens system. It is calculated as follows:
1/F = 1/f1 + 1/f2 - (d / (f1f2))
F = 20 cm (approximately)
Therefore, the combined focal length is 20 cm.
Power of the combination:
The power of a lens is defined as the reciprocal of the focal length of a lens in meters.
P = 1/f = 1/0.2
P = 5 D (diopters)
Nature of the combination:
Since the focal length of the combined lenses is positive, the combination is a convex lens. Therefore, the combination of convex and concave lenses will act like a convex lens.
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Bowling ball rolls up a ramp 0.75 m high without slipping to storage. it has an initial velocity of its center of mass of 4.2 m/s. (a) what is its velocity at the top of the ramp? (b) if the ramp is 1 m high does it make it to the top?
(a) Using conservation of energy, the velocity of the ball at the top of the ramp is 3.9 m/s.
(b) When the height of the ramp is 1 m, the ball does not make it to the top of the ramp
Given,
Height of the ramp, h = 0.75 m
Initial velocity of the center of mass, u = 4.2 m/s
(a) What is its velocity at the top of the ramp?
The bowling ball rolls up a ramp of height 0.75 m without slipping to storage, and it has an initial velocity of its center of mass of 4.2 m/s. It is asked to determine the velocity of the ball at the top of the ramp.
Let the velocity of the ball at the top of the ramp be v.
By the law of conservation of energy, the potential energy of the ball at the bottom of the ramp is equal to the kinetic energy of the ball at the top of the ramp.
PE at the bottom of the ramp = KE at the top of the ramp
mgh = (1/2)mu² + (1/2)Iω²
where
m = mass of the ball
g = acceleration due to gravity
I = moment of inertia of the ball
ω = angular velocity of the ball
Assuming the ball is a solid sphere,
I = (2/5)mr²
where r is the radius of the sphere
At the bottom of the ramp,
PE = mgh
At the top of the ramp,
KE = (1/2)mu² + (1/2)(2/5)mu²
Substituting the given values,
PE = mgh = 0.75mg
KE = (1/2)mu² + (1/2)(2/5)mu²
= (1/2)(7/5)mu²
= (7/10)mu²
At the top of the ramp,
PE = KE
0.75mg = (7/10)mu²
v = u * √(7/10)
= 4.2 * √(7/10)
≈ 3.9 m/s
Therefore, the velocity of the ball at the top of the ramp is approximately 3.9 m/s.
(b) If the ramp is 1 m high does it make it to the top?
When the height of the ramp is 1 m,
PE = mgh = 1mg
At the top of the ramp,
KE = (1/2)mu² + (1/2)(2/5)mu²
= (1/2)(7/5)mu²
= (7/10)mu²
At the top of the ramp,
PE = KE
1mg = (7/10)mu²
u² = (10/7)gh
v = u * √(7/10)
= √(10gh/7)
≈ 3.96 √h m/s
Therefore, when the height of the ramp is 1 m, the ball does not make it to the top of the ramp.
Using the law of conservation of energy, the velocity of the ball at the top of the ramp is found to be approximately 3.9 m/s. When the height of the ramp is increased to 1 m, the ball does not make it to the top of the ramp.
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what would happen the ocean gyre circular patterns if the earth were spinning in the opposite direction
The direction of ocean gyre will change if the earth were spinning in the opposite direction
A gyre is a large system of ocean currents which moves in circular path . They are caused due to Coriolis effect. Because of the rotation of the Earth , ocean currents in the northern hemisphere tend to move in a clockwise direction and currents in the southern hemisphere move in an anti-clockwise direction.
If earth spin get reversed , it will also reverse the motion of ocean current an also affects changes in weather pattern
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change 176°F to the Celsius and Kelvin scales. pura batana kese hua fir answer dena plzz
Formulas change from F to degree C : C = (F – 32) / 1.8
so we have (176-32) /1.8= 80 oC
Formulas change from F to degree K : K = 5 / 9 x (F – 32) + 273.15
so we have 5/9 x (176-32) + 273.15 = 353 oK
ok done. Thank to me :>
một ô tô chuyển động nhanh dần đều.Sau 10s vận tốc của xe tăng từ 2m/s lên 6m/s.Tính gia tốc của ô tô
Answer:
áp dụng công thức í, mình thấy câu này có rắc rối gì đâu
A radio antennae picks up a radio wave with frequency 103.5 Hz. What is the frequency of the alternating signal in the antennae wiring?
The frequency of the alternating signal in the antennae wiring is 103.5 Hz.
What is resonant frequency?Resonant frequency is the oscillation or vibration of a system at its natural frequency.
When the radio antennae picks up the radio wave, the natural frequency of the antennae must be the same as the frequency of the radio wave.
frequency of the antennae = frequency of the radio wave
Thus, the frequency of the alternating signal in the antennae wiring is 103.5 Hz.
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I NEEED HELP!!!!! Upon using Thomas Young’s double-slit experiment to obtain measurements, the following data were obtained. Use these data to determine the wavelength of light being used to create the interference pattern.
Do this using three different methods.
The angle to the eighth maximum is 1.12°.
The distance from the slits to the screen is 302.0 cm.
The distance from the central maximum to the fifth minimum is 3.33cm.
The distance between the slits is 0.000250 m
Answer:
The wavelength is approximately 611 nm
Explanation:
We can use the formula for the condition of maximum of interference given by:
\(d\,sin(\theta)=m\,\lambda\\(0.000250\,\,m)\,\,sin(1.12^o)=8\,\lambda\\\lambda=\frac{1}{8} \,(0.000250\,\,m)\,\,sin(1.12^o)\\\lambda \approx 610.8\,\,nm\)
We can also use the formula for the distance from the central maximum to the 5th minimum by first finding the tangent of the angle to that fifth minimum:
\(tan(\theta)=\frac{y}{D}\\ tan(\theta)=\frac{0.0333}{3.02} =0.011026\)
and now using it in the general formula for minimum:
\(d\,sin(\theta)\approx d\,tan(\theta)=(m-\frac{1}{2} )\,\lambda\\\lambda\approx 0.00025\,(0.011026)/(4.5)\,\,m\\\lambda\approx 612.55\,\,nm\)
Answer:
The correct answer is \(6.1\times10^{-7}\:m\)
Explanation:
The distance from the central maxima to 5th minimum is:
\(x_{5n}-x_{0} =3.33\:cm=0.033\:m\)
The distance between the slits and the screen:
\(L = 302\:cm = 3.02\:m\)
Distance between 2 slits: \(d = 0.00025\:m\)
\((n-\frac{1}{2})\lambda=\frac{d(x_n)}{L}\)
For fifth minima, n = 5... so we have:
\(x_{5n}=\frac{9\lambda L}{2d}\)
For central maxima, n = 0... so we have:
\(x_{0}=\frac{n\lambda L}{d}=0\)
So the distance from central maxima to 5th minimum is:
\(\frac{9\lambda \:L}{2d}-0=0.033\) (Putting the values, we get):
\(\Rightarrow \lambda = 6.1\times 10^{-7}\:m\)
Best Regards!
which particles act together to make atoms behave as solids
Question
Which particles act together to make atoms behave as solids
Answer:
Electrons. Mutually repel elections of other atoms when they get close
Explanation:
A demonstration of the behavior of particles as solids, liquids and gases. Crystals, on the other hand, aren't at all haphazard. Particles are held together by forces of attraction. Protons (+) and Electrons (-) Which subatomic particles act together to make atoms behave as a solids because they are found buzzing around the nucleus.
I BEGGGG FOR YOUR HELP URGENTLY
an oil tanker has a total mass of 3.6×10 to the power of five tonnes. The width of the tanker is 36 m and the length of the tanker is 480m. assuming that the tanker has a flat bottom and that its in equilibrium find the depth of the bottom of the boat from the surface of the water.
1tonne =1000kg
Density of sea water= 1030kgm^-3
Gravity =9.81NKg
5 marks
Answer: The minimum depth of harbor of the oil tank is 2.22 m
Explanation:
here you go hope this helps
A cannon ball is launched from the edge of a cliff that is 6 m above the ground. It has a
horizontal velocity of 10.2 m/s. It takes 3.7 s for the cannonball to reach the ground.
How far from the cliff does it land?
Record your answer to the nearest hundredth.
Answer:
Sh = Vh t horizontal distance traveled
Sh = 10.2 m/s * 3.7 s = 37.74 m
A 65.0 kg skater moving initially at 3.20 m/s on rough horizontal ice comes to rest uniformly in 3.05 s due to friction from the ice. What force does friction exert on the skater? Express your answer with the appropriate units
When a skater slides on a rough horizontal ice and comes to rest uniformly, the force of friction exerted by the ice can be found. To find the force of friction, we can use the following equation:f = maWhere f is the force, m is the mass, and a is the acceleration.
We can find the acceleration of the skater using the formula for uniformly accelerated motion:Δx = vit + 1/2at²where Δx is the distance covered, vi is the initial velocity, t is the time, and a is the acceleration.
Rearranging the formula, we get:
a = 2(Δx - vit)/t²where Δx is the distance covered, vi is the initial velocity, and t is the time.
Substituting the given values:
a = 2(0 - 3.20*3.05)/3.05² = -2.10 m/s² (negative because the skater is decelerating)
Now we can substitute the values of m and a into the equation for force:
f = ma = 65.0 kg x -2.10 m/s² = -136
The force of friction exerted by the ice on the skater is 136 N.
The negative sign indicates that the force is opposite to the direction of motion.
The units of force are Newtons (N). Answer:
The force of friction exerted on the skater is -136 N.
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List out of how animals and plants can cause weathering.
Plants
a concave makeup mirror is designed so that a person 23 cm in front of it sees an upright image magnified by a factor of 4. what is the radius of curvature of the mirror?
The radius of curvature of the concave makeup mirror is 230 cm.
To calculate the radius of curvature of the concave makeup mirror, we can use the mirror equation:
1/f = 1/v - 1/u,
where:
f = focal length of the mirror,
v = image distance,
u = object distance.
In this case, the person is 23 cm in front of the mirror, which means the object distance (u) is -23 cm (negative because it is in front of the mirror).
We are given that the person sees an upright image magnified by a factor of 4. Since the image is upright, the magnification (M) is positive. We can use the magnification formula:
M = -v/u,
where M = 4.
Substituting the values into the magnification formula, we get:
4 = -v/(-23),
Simplifying, we have:
4 = v/23.
Solving for v, we find:
v = 4✕ 23,
v = 92 cm.
Now, we can substitute the values of v and u into the mirror equation:
1/f = 1/92 - 1/(-23).
Simplifying, we have:
1/f = (1 + 4)/92,
1/f = 5/92.
To find the radius of curvature, we use the formula:
f = R/2,
where R is the radius of curvature.
Substituting the values, we get:
1/R = 2/5 ✕ 1/92,
1/R = 2/460,
R = 460/2,
R = 230 cm.
Therefore, the radius of curvature of the concave makeup mirror is 230 cm.
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why does a person fall to the floor when he or she trips over a heavy box?
*Newton’s Laws*
Answer:
Friction (traction) is the resistance between things. There's friction between your shoes and the ground. Without enough friction, you can slip and fall.
When you push a heavy box, it pushes back at you with an equal and opposite force (Third Law) so that the harder the force of your action, the greater the force of reaction until you apply a force great enough to cause the box to begin sliding.
When a person trips over a heavy box and falls to the floor, it's due to a combination of factors related to the laws of physics. Here's what happens:
1. Inertia: Every object tends to remain at rest or in uniform motion unless acted upon by an external force. This is Newton's first law of motion. When you're walking and suddenly trip over a heavy box, your body's forward motion is abruptly interrupted by the box. Your lower body and legs might still have forward momentum, causing you to stumble or fall.
2. Force of Gravity:The heavy box you trip over exerts a force of gravity on your body. When you collide with the box, this force pulls you downward, accelerating your fall towards the ground.
3. Friction and Contact Forces: When you trip over the box, there are contact forces and frictional forces involved. Your foot might get caught on the box, and the friction between your foot and the surface of the box can cause your body to tilt forward. As a result, you lose your balance.
4. Center of Mass: Your body's center of mass is the point around which your weight is evenly distributed. When you trip and lose your balance, your center of mass might shift outside your base of support (your feet), causing you to tip over and fall.
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