A block with mass M is placed on an inclined plane with slope angle q and is connected to a second hanging block with mass m by a cord passing over a small, frictionless pully. The coefficient of static friction μs and the coefficient of kinetic friction is μk. For what range values of of m will the blocks remain at rest if they are released from rest.
Answers
Answer:
The mass of the block m is:
[tex]m=M(sin(\theta)+\mu_{s}cos(\theta))[/tex]
Explanation:
Let's analyze the block by parts
For the block M
[tex]T-W_{x}-f_{f}=0[/tex] (1)
Where:
T is the tensionW(x) is the component of the weight in the x-directionF(f) is the friction force[tex]T-Mgsin(\theta)-\mu_{s}N=0[/tex]
[tex]T-Mgsin(\theta)-\mu_{s}Mgcos(\theta)=0[/tex]
For the block m
[tex]T-W=0[/tex]
[tex]T=mg[/tex] (2)
Now, let's combines equation (1) and (2):
[tex]mg-Mgsin(\theta)-\mu_{s}Mgcos(\theta)=0[/tex]
Finally, let's solve it for block m.
[tex]mg-Mg(sin(\theta)+\mu_{s}cos(\theta))=0[/tex]
[tex]m=M(sin(\theta)+\mu_{s}cos(\theta))[/tex]
I hope it helps you!
Related Questions
distance travelled/time taken gives?
Answers
Answer:
speed
Explanation:
Speed = distance travelled/time taken
Answer: Speed
Explanation:
Speed is defined as the rate of change of the position of an object in a direction. The speed of an object is calculated as the distance travelled divided by the time that is taken.
Speed is regarded as a scalar quantity since it has only direction but doesn't have magnitude. The answer to the above question is speed.
You have a 6.00 V power supply, and
a 30.0 ohm and a 75.0 ohm resistor.
Find the current flowing out of the
battery if the resistors are connected
in parallel.
Answers
Answer: 0.28 A
Explanation:
Answer:
.28
Explanation:
Acellus
Is it more fun on a swing with low or high amplitude? Explain.
Answers
A sound has a higher pitch than a bell. Which quantity must also be higher in this sound than in the bell?
O amplitude
O frequency
O wavelength
O speed
Answers
Answer:
frequency
Explanation:
The frequency must also be higher in this sound than in the bell because for high pitch the frequency must be high.
What is the frequency?It is defined as the number of waves that crosses a fixed point in one second, known as frequency. The unit of frequency is per second.
We have:
A sound has a higher pitch than a bell.
As we know, the sound has a high pitch if the vibration frequency is high, and a low pitch if the vibration frequency is low.
Thus, the frequency must also be higher in this sound than in the bell because for high pitch the frequency must be high.
Learn more about the frequency here:
brainly.com/question/27063800
#SPJ2
1 point
Nuclear equations like the one below show "parent" and "daughter” nuclei.
What is the mathematical relationship between the superscripts on the
left-hand side and the superscripts on the right-hand side of the nuclear
equation?
27
27
0
12 Mg
13 AL +
je
Answers
Answer:
Mg- 27 means isotope with 12 protons and 15 neutrons.
Also 27 is mass number which express sum of protons and neutrons.
In nucleus one neutrn decays to electron and proton. Mass number remain same but Al-27 nucleus contain 13 protons and 14 neutrons. Electron is ejected out from nucleus.
Violet light (410 nm) and red light
(685 nm) pass through a diffraction
grating with d = 3.33 x 10-6 m. What is
the angular separation between them
for m = 2?
Answers
Answer:10.03
Explanation:acellus
3. A dog walks 12 meters to the east and then 16 meters back to the west.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacemeni?
Answers
Answer:
[tex]distance = 16 + 12 \\ = 28 \: meters \\ \\ displacement = {}^{ + } 12 + {}^{ - } 16 \\ = - 4 \: meters \\ magnitude = > |s| = 4 \: meters[/tex]
What is hydrometer? Describe its use and any one type of hydrometer.
Answers
Answer:
An instrument for measuring the density of liquids.
Explanation:
A hydrometer is an instrument used to determine specific gravity. It operates based on the Archimedes principle that a solid body displaces its own weight within a liquid in which it floats. Hydrometers can be divided into two general classes: liquids heavier than water and liquids lighter than water.
Thermohydrometers is one type of hydrometer.
By how many times would the gravitational force between two objects decrease if the distance between the two objects was tripled?
Answers
Answer:
If the separation distance between any two objects is tripled (increased by a factor of 3), then the force of gravitational attraction is decreased by a factor of 9 (3 raised to the second power).
What materials are difficult to charge because electrons easily flow through them?
Answers
Answer:
Conductors
Explanation:
If you build a circuit with 3 D batteries, what is the voltage of the circuit?
A) 3 volts
B) 4.5 volts
C) 3 Amps
D) 4.5 Ohms
Answers
Answer:
a
Explanation:
Answer:
d
Explanation:
A man rides a bike along a straight road at a constant speed for 5 minmin, then has a flat tire. He stops for 5 minmin to repair the flat, but then realizes he cannot fix it. He continues his journey by walking the rest of the way at a constant speed, which takes him another 10 min.
Required:
Use the particle model to draw a motion diagram of the man for the entire motion described here. Number the dots in order, starting with zero.
Answers
An initially uncharged sphere is on an insulated stand and isolated in a chamber. The charge on the sphere is monitored as a beam of monochromatic light shines on the sphere. Initially nothing happens. The wavelength of the light is slowly decreased. When the wavelength reaches a certain value, a positive charge is suddenly measured on the sphere. The wavelength is then held constant, and the charge continues to increase at a constant rate. The intensity of the beam is then increased without the wavelength being changed, and the rate of increase of the charge becomes greater.
Required:
a. In a coherent paragraph-length response, describe the cause of the charge on the sphere and the changes in the observations about the charge, in terms of physics principles.
b. An electron in the chamber is moving with speed 2×10^5m/s when it collides with a positron (a particle identical to an electron except for the sign of its charge) moving with the same speed in the opposite direction. The particles annihilate each other. How much energy is released due to the annihilation?
c. In another experiment, a beam of electrons with uniform wavelength λe is incident on a slit, where the width of the slit is much larger than λe. A detector is placed near the slit, but no diffraction pattern is observed. What change should be made that would result in a diffraction pattern? Indicate why this change is the one needed.
Answers
Answer:
a) E = K + Φ, b) ΔE = 1.64 10⁻¹³ J., c) λ = a
Explanation:
a) In this case it is an example of the photoelectric effect that was correctly described by Einstein assuming that the light ray is composed of a series of particles called photons, each one with an energy given by the Planck equation
E = h f
c = λ f
substituting
E = h c /λ
We can see from this equation that as the wavelength of the ray decreases the energy of each photon increases, the moment arrives that the energy is sufficient to remove an electron from the sphere, thus leaving an unbalanced positive charge, this description explains why the positive charge appears on the sphere; the minimum wavelength to remove an electron is
E = K + Φ
if K = 0
E =Φ
where fi is the work function of the material.
When the intensity of the ray increases according to Eintein's description, the number of photons increases, so if the number of photons increases, the number of shocks and the number of electrons expelled increases, therefore the unbalanced positive charge also increases.
b) the energy released in collision is the sum of the energy of each particle
for the electron
E = K + m c² = (pc) ² + (m c²) ²
where the moment is
p = γ m u
γ = [tex]\sqrt{1- (\frac{u}{c})^2 }[/tex]
γ = [tex]\sqrt {1- ( \frac{2 \ 10^5}{3 \ 10^8 })^2 } = \sqrt{1- (6.67 \ 10 ^{-4)^2 }[/tex]
γ ≅ 1
in this case since the speed of the particles is much less than the speed of light,
E = (m u) ² + (m c²) ²
E = m² (u² + c²)
E = 9.1 10⁻³¹ [(2 10⁵) ² + (3 10⁸) ²
E = 9.1 10⁻³¹ 9 10¹⁶
E = 8.2 10⁻¹⁴ J
the positron has an energy of equal magnitude, so when the two particles annihilate the energy change is
ΔE = 2E
ΔE = 2 (8.2 10⁻¹⁴)
ΔE = 1.64 10⁻¹³ J.
c) the expression that describes the diffraction process is
a sin θ = m λ
sin θ = m λ/ a
where a is the width of the slit and m in diffraction order
The greatest value that the sine function can have is 1
1 = m λ / a
λ = a / m
therefore we can see that to see the diffraction phenomenon the width of the slit must be greater than or equal to the wavelength
A 1.5-kg ball is throw at 10 m/s. What is the balls momentum?
Answers
Answer : The momentum of ball is, 15 kg.m/s
Explanation :
Momentum : It is defined as the motion of a moving body. Or it is defined as the product of mass of velocity of an object.
Formula of momentum is:
where,
p = momentum = ?
m = mass = 1.5 kg
v = velocity = 10 m/s
Now put all the given values in the above formula, we get:
Therefore, the momentum of ball is 15 kg.m/s
Which ones are correct??
Answers
Answer:
blanket:thermal conductivity
as it conduct heat.
aquarium glass:transparency
as light can be transfered from one side to
another.
what's is the best definition of AVERAGE SPEED?
Answers
Answer:
The average speed is the distance travelled divided by the time taken: Average speed=Distance travelledTime taken.
Tritium and helium-3 have the same number of nucleons, but tritium has one proton and two neutrons whereas helium-3 has two protons and one neutron. Without doing a calculation, decide which nucleus has a greater binding energy. Explain. (Select all that apply.)
a. This happens in part because the tritium nucleus has greater Coulombic repulsion.
b. This happens in part because the helium-3 nucleus has greater Coulombic repulsion between nucleons.
c. This happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.
d. Helium-3 is more stable.
e. This happens in part because the helium-3 nucleus has fewer neutrons.
f. Tritium is more stable.
Answers
Answer:
Tritium is more stable.
This happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.
Explanation:
The binding energy is the energy that holds nucleons together in the nucleus. It depends on the number of nucleons present in the nucleus. The greater the number of nucleons, the greater the binding energy.
Also, the more the number of neutrons in a nucleus, the greater the nuclear forces. Helium-3 has only one neutron while tritium has two neutrons. The extra neutron in tritium enhances the nuclear forces hence tritium has a greater binding energy than Helium-3
Tritium is more stable.this happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.
What is binding energy?
The binding energy is the energy that holds nucleons together in the nucleus. It depends on the number of nucleons present in the nucleus.
The greater the number of nucleons, the greater the binding energy.Also, the more the number of neutrons in a nucleus, the greater the nuclear forces.
Helium-3 has only one neutron while tritium has two neutrons. The extra neutron in tritium enhances the nuclear forces hence tritium has greater binding energy than Helium-3
Thus tritium is more stable.this happens in part because the tritium nucleus has an extra neutron enhancing the nuclear forces.
To know more about binding energy follow
https://brainly.com/question/15582431
Calculate the force of gravity on the 1-kg mass if it were 3.2x10^6 m above Earth's surface that is, if it were one and a half
Earth radii from Earth's center).
Answers
Answer:
F= 4.3N
the question (for seo and search engine optimization to get this question to the top)
Calculate the force of gravity on the 1-kg mass if it were 3.2×106m above Earth's surface (that is, if it were one and a half Earth radii from Earth's center).
F= 4.3N
Answer:
Recuerda que la Ley de gravitación universal de Newton puede enunciarse así: “Toda partícula de
materia en el universo atrae a todas las demás partículas con una fuerza que es directamente
proporcional a las masas de las partículas e inversamente proporcional al cuadrado de la distancia que
las separa”. Ley que se puede expresar simbólicamente de la siguiente forma:
2
1 2
d
m m F ⋅ ∝
Podemos expresar la proporcionalidad de la ley de gravitación universal en forma de una ecuación
exacta introduciendo la constante de proporcionalidad G, llamada constante de gravitación universal:
2
1 2
d
m m F G ⋅ = ⋅ donde
2
What is the period of a wave that completes 3 waves in 2 seconds?
Answers
P = 3÷2
= 1.5
Explanation:
hope it helps
An organ pipe is 116 cm long. Determine the fundamental and first three audible overtones if the pipe is (a) closed at one end, and (b) open at both ends.
Answers
Answer:
(a) when the pipe is closed at one end;
F₀ = 73.92 Hz
F₁ = 221.76 Hz
F₂ = 369.6 Hz
F₃ = 517.44
(b) when the pipe is open at both ends;
F₀ = 147.85 Hz
F₁ = 295.7 Hz
F₂ = 443.55 Hz
F₃ = 591.4 Hz
Explanation:
Given;
length of the pipe, L = 116 cm = 1.16 m
speed of sound in air, v = 343 m/s
The formula below will be used to determine the different frequencies of the pipe at different wavelengths
[tex]F = \frac{V}{\lambda}[/tex]
where;
F is frequency
λ is wavelength
(a) when the pipe is closed at one end;
Wavelength for fundamental frequency;
L = Node -------> Antinode
L = λ/4
λ = 4L
the fundamental mental frequency;
[tex]F_0 = \frac{V}{4L} = \frac{343}{4 \times 1.16} = 73.92 \ Hz[/tex]
Wavelength for first overtone or audible frequency;
L = Node -----> Node + Node ----> Antinode
L = λ/2 + λ/4
L = 3λ/4
λ = 4L/3
[tex]F_1 = \frac{V}{4L/3} = 3(\frac{V}{4L} ) = 3F_0 = 3 (73.92) = 221.76 \ Hz[/tex]
Thus, the next two audible frequencies will be multiple of next consecutive odd numbers after 3 (i.e 5 and 7);
F₂ = 5F₀ = 5(73.92) = 369.6 Hz
F₃ = 7F₀ = 7(73.92) = 517.44 Hz
(b) when the pipe is open at both ends;
Wavelength for fundamental frequency;
L = Antinode ----> Node + Node -----> Antinode
L = λ/4 + λ/4
L = λ/2
λ = 2L
the fundamental frequency;
[tex]F_0 = \frac{V}{2L} = \frac{343}{2\times 1.16} = 147.85 \ Hz[/tex]
The first three audible overtones will be multiples of the 3 consecutive positive integers after 1 (i.e 2, 3, 4)
F₁ = 2F₀ = 2(147.85) = 295.7 Hz
F₂ = 3F₀ = 3(147.85) = 443.55 Hz
F₃ = 4F₀ = 4(147.85) = 591.4 Hz
A circuit with 220 voltage is supplied with a fuse of 10 ampere.How many bulbs of 100 watt can be safely used in the circuit
Answers
Explained below
let the number of bulbs-n
power=potential difference* current
n * 100 = 220* 5
n = 220*5/100 = 11
11 bulbs can safely used with 5 Ampere fuse.
A uniform rod of length 50cm and mass 0.2kg is placed on a fulcrum at a distance of 40cm from the left end of the rod. At what distance from the left end of the rod should a 0.6kg mass be hung to balance the rod?
a.48 cm
b. 50 cm
c. 45 cm
d. the rod can not be balanced with this mass.
e.42 cm
show your work. NO LINKS.
Answers
Answer:
x = 45 cm
Explanation:
Given that,
The length of a rod, L = 50 cm
Mass, m₁ = 0.2 kg
It is at 40cm from the left end of the rod.
We need to find the distance from the left end of the rod should a 0.6kg mass be hung to balance the rod.
The centre of mass of the rod is at 25 cm.
Taking moments of both masses such that,
[tex]15\times 0.2=x\times 0.6\\\\x=\drac{3}{0.6}\\\\x=5\ cm[/tex]
The distance from the left end is 40+5 = 45 cm.
Hence, at a distance of 45 cm from the left end it will balance the rod.
PLEASE HELP ME ASAP!!!!
Answers
A person pulls a box across the floor with a rope. The rope makes an angle of 40 degrees tot he horizontal, and a total of 125 newtons of force is applied. How much work is done if the box is pulled for 25 meters?
Answers
Answer:
The angle formed of the rope with the surface = 40°
Force applied = 125Newtons
The displacement covered by the box =25metres
W= FDcos theta
[125×40×cos(40°) ] Joules
= [ (3125×0.76604444311)]Joules
= 2393.88888472 joules(ans)
Hope it helps
What is the mass of a block if it's moving at 10 m/s and has 200 J of energy
Answers
Answer:
4kg
Explanation:
=2/2
m=(200x2)/10^2
m=400/100
m=4
4kg
3. The load across a 12-V battery consists of a series combination
of three resistors that have a resistance of 15 12,21 12, and 24 12,
respectively. What is the current in this circuit? (5F)
a. 0.2 A
b. 2.0 A
C. 0.19 A
d. 1.9 A
Answers
Answer:
a. 0.2 A
Explanation:
Given;
voltage of the battery, V = 12 V
three resistance connected in series, R₁ = 15 Ω, R₂ = 21 Ω, R₃ = 24Ω
The equivalent resistance for series connection is calculated as;
Rt = R₁ + R₂ + R₃
Rt = 15Ω + 21Ω + 24Ω
Rt = 60 Ω
Apply Ohm's law to calculate the current n the circuit;
V = IRt
I = V/Rt
I = 12/60
I = 0.2 A
Therefore, the current in the circuit is 0.2 A
A block of mass 3m is placed on a frictionless horizontal surface, and a second block of mass m is placed on top of the first block. The surfaces of the blocks are rough. A constant force of magnitude F is applied to the first block as shown in the figure. (a) Construct free-body diagrams for each block. (b) Identify the horizontal force that causes the block of mass m to accelerate. (c) Assume that the upper block does not slip on the lower block, and find the acceleration of each block in terms of m and F.
Answers
By Newton's second law, assuming F is horizontal,
• the net horizontal force on the larger block is
F - µmg = 3mA
where µmg is the magnitude of friction felt by the larger block due to rubbing with the smaller one, µ is the coefficient of static friction between the two blocks, and A is the block's acceleration;
• the net vertical force on the larger block is
4mg - 3mg - mg = 0
where 4mg is the mag. of the normal force of the surface pushing up on the combined mass of the two blocks, 3mg is the weight of the larger block, and mg is the weight of the smaller block;
• the net horizontal force on the smaller block is
µmg = ma
where µmg is again the friction between the two blocks, but notice that this points in the same direction as F. It is the only force acting on the smaller block in the horizontal direction, so (b) static friction is causing the smaller block to accelerate;
• the net vertical force on the smaller block is
mg - mg = 0
where mg is the magnitude of both the normal force of the larger block pushing up on the smaller one, and the weight of the smaller block.
(You should be able to draw your own FBD's based on the forces mentioned above.)
(c) Solve the equations above for A and a :
A = (F - µmg) / (3m)
a = µg
what country is this
Answers
Answer:
USA
NAMELY UNITED STATES OF AMERICA
america
Explanation:
because why not
Pls help! Tysm!!! :D
Answers
Answer:
Slowing a bike by applying the brkaes is an xmaple of acceleration
Explanation:
What did Europeans, africans and Americans trade as a result for the Colombian exchange
A. Railroad engineering ideas
B. Computer technology
C. Film production techniques
D. Agricultural knowledge
Also under the subject I meant to put social studies not physics.
Answers
Answer: Railroad engineering ideas