A block of mass mi is on an inclined plane (angle θ above the horizontal) and is connected by a massless string going over a pulley to a hanging block of mass m2. (The pulley is at the top of the ramp.) Both blocks are held firmly in place (i.e the blocks are at rest). If the blocks are released from rest, determine the acceleration of the blocks if the coefficients of static and kinetic friction between the block 1 and the surface of the incline are μs and μk, respectively. If the problem has multiple answers, explore at least 2 of them.
Answers
Solution :
Let suppose [tex]$m_2g > m_1g \sin \theta$[/tex]
Then,
[tex]$a= \frac{\sum F}{\text{total mass}} $[/tex]
[tex]$=\frac{m_2g-m_1g \sin \theta - f_k}{m_1+m_2}$[/tex]
Here the frictional force, [tex]$f_k$[/tex] will be towards left on [tex]$m_1$[/tex] as the block will move towards right.
We know, [tex]$f_k = \mu_k N$[/tex] [tex]$= \mu_k m_1g \cos \theta$[/tex].
Therefore,
[tex]$a=\frac{m_2g-m_1g \sin \theta - \mu_k m_1g \cos \theta}{m_1+m_2}$[/tex]
Similarly, if [tex]$ m_1g \sin \theta > m_2g $[/tex]
Then ,
[tex]$a=\frac{m_1g \sin \theta - m_2g - \mu_k m_1g \cos \theta}{m_1+m_2}$[/tex]
And if [tex]$m_2g = m_1g \sin \theta$[/tex], then a = 0.
The acceleration of the block will be [tex]\rm a= \frac{m_1gsin\theta-m_2g- \mu_km_1gcos\theta}{m_1+m_}[/tex]. Acceleration is the rate of change of the velocity of the body.
What is the friction force?It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).
Mathematically it is defined as the product of the coefficient of friction and normal reaction.
On resolving the given force and accelertaion in the different components and balancing the equation gets.Components in the x-direction
The acceleration is the ratio of force to the mass
[tex]\rm a= \frac{\sum F}{total\ mass} \\\\ \rm a= \frac{m_2g- m_1gsin\theta-\mu_k}{m_1+m_}[/tex]
The friction force is given by;
[tex]\rm f_k= \mu_k N = \mu_Km_1gcos\theta[/tex]
Hence the value of acceleration will be [tex]\rm a= \frac{m_1gsin\theta-m_2g- \mu_km_1gcos\theta}{m_1+m_}[/tex]
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Related Questions
a forward horizontal force of 50 N is applied to crate a second horizontal force of 180 N is applied to crate in the opposite direction determine the magnitude and direction of the resultant force acting on the crate
Answers
Answer:
130n on the 2nd horizontal
Explanation:
Define threshing?
Brainliest For the right answer
Answers
Answer:
Process used for separating grains from the stalks is known as threshing, In this process, stalks are beaten to free the grain seeds.
Answer:
Threshing is extraction of wheat germ from the stalk. In today's usage the combine tractor cuts and threshes the wheat at the same time. Imagine a big lawn mower with a rotating drum inside.
The drum turns and shakes the germ out of the wheat, the seeds falling through small holes onto a conveyor belt one way, the leftover grass dumping out the other way. The grain is poured into a truck driving beside the combine.
In old times, grain had to be beaten out of the grass on a Threshing Floor.
Which of the following is necessary in order to classify the different types of
electromagnetic radiation?
Answers
Answer:
The EM spectrum is generally divided into seven regions, in order of decreasing wavelength and increasing energy and frequency. The common designations are: radio waves, microwaves, infrared (IR), visible light, ultraviolet (UV), X-rays and gamma rays.
Explanation:
HOPE THIS HELPS! ;)
In order to classify the different types of electromagnetic radiation, frequency is necessary.
What is electromagnetic radiation?The EM spectrum have seven different regions in terms of decreasing wavelength. The increase in energy and frequency denotes decreasing wavelength. The parts of EM spectrum are radio waves, microwaves, infrared (IR), visible light, ultraviolet (UV), X-rays and gamma rays.
Thus, in order to classify the different types of electromagnetic radiation, frequency is necessary.
Learn more about electromagnetic spectrum.
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Betty hits a baseball.
At which point along the baseball's path does it have the most gravitational potential energy?
Answers
Answer:
point 2
Explanation:
PLEASE HELP ME WITH THIS ONE QUESTION
The specific heat of aluminum is 899 J/kg*C. How much aluminum is changed by 1.00°C assuming 1000. J of heat is added to the piece of aluminum?
Answers
Answer:
Q = c * m * T where c = specific heat, m = mass, T = temperature change
m = Q / (c * T) = 1000 J / (899 J / kg deg C * 1 deg C)
m = 1000 / 899 kg = 1.11 kg
A pendulum is made up of a small sphere of mass 0.500 kg attached to a string of length 0.950 m. The sphere is swinging back and forth between point A, where the string is at the maximum angle of 35.0∘ to the left of vertical, and point C, where the string is at the maximum angle of 35.0∘ to the right of vertical. The string is vertical when the sphere is at point B. Calculate how much work the force of gravity does on the sphere from A to B.
Answers
Answer:
W = 0.842 J
Explanation:
To solve this exercise we can use the relationship between work and kinetic energy
W = ΔK
In this case the kinetic energy at point A is zero since the system is stopped
W = K_f (1)
now let's use conservation of energy
starting point. Highest point A
Em₀ = U = m g h
Final point. Lowest point B
Em_f = K = ½ m v²
energy is conserved
Em₀ = Em_f
mg h = K
to find the height let's use trigonometry
at point A
cos 35 = x / L
x = L cos 35
so at the height is
h = L - L cos 35
h = L (1-cos 35)
we substitute
K = m g L (1 -cos 35)
we substitute in equation 1
W = m g L (1 -cos 35)
let's calculate
W = 0.500 9.8 0.950 (1 - cos 35)
W = 0.842 J
Explain how a transistor behaves as a switch
Answers
Answer:
With a zero signal applied to the Base of the transistor it turns “OFF” acting like an open switch and zero collector current flows. With a positive signal applied to the Base of the transistor it turns “ON” acting like a closed switch and maximum circuit current flows through the device.
Explanation:
please give me brainlist and follow
prove that g is inversely proportional to the radius
Answers
Answer:The acceleration due to gravity g is inversely proportional to the square of the radius in the formula g = GM / R^2 where G is the gravitational constant = 6.67 x 10^-11 Nm^2/kg^2, M is the mass of the Earth and R is the radius of the Earth
Explanation:
A consumer uses 3098 kWh in 29 days. The utility company charges AED 0.077592 per kWh for the electricity plus AED 0.029998 per kWh for the distribution of the electricity . What is the consumer's electric bill for the 29 days?
Answers
for the distribution, multiply 0.029998 by 3098 and you get 92.933804.
you add those two numbers (240.380016 + 92.933804) for the total in 29 days and you get 297.31382 AED
The consumer electric bill for 29 days is AED 331.31
Given that, The utility company charges AED 0.077592 per kWh for the electricity plus AED 0.029998 per kWh for the distribution of the electricity
Since, A consumer uses 3098 kWh in 29 days.
The utility company charges for electricity is,
[tex]=0.077592*3098=240.38[/tex]
The utility company charges for distribution of the electricity is,
[tex]=0.029998*3098=92.93[/tex]
So that, The consumer electric bill is,
[tex]=240.38+92.93=333.31[/tex]
Hence, the consumer electric bill for 29 days is AED 331.31
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All of the following are important elements of food plating, EXCEPT:
A
The plate complements the dish being served.
B
A balanced portion of protein, carbohydrates, and vegetables
should be displayed to create a nutritious plate.
The more food and garnishes on the plate, the better.
с
D
The presentation of the plate should never overpower the overall
experience of the dish.
Answers
Answer:
C- The more food and garnishes on the plate, the better.
state three factors that determine the strength of electromagnetic
Answers
Answer:
Factors that affect the strength of electromagnets are the nature of the core material, strength of the current passing through the core, the number of turns of wire on the core and the shape and size of the core.Nov 28, 2020
Explanation:
Exact solutions for gravitational problems involving more than two bodies are notoriously difficult. One solvable problem involves a configuration of three equal-mass objects spaced in an equilateral triangle. Forces due to their mutual gravitation cause the configuration to rotate. Suppose three identical stars, each of mass M, form a triangle of side L. Find an expression for the period of their orbital motion.
Answers
Answer:
T = [tex]4\pi ^2 \ \sqrt{ \frac{L^3}{GM} }[/tex]
Explanation:
Let's analyze the situation, as the stars have the same mass and all are at the same distance, the magnitude of the force is constant, even when its direction changes, Let's use Newton's second law
F = m a
in this case the force is the universal attraction
F = G M₁ M₂ / r²
they relate it is centripetal
a = v² / r = w² r
we substitute
G M² / r² = M w² r
w² = [tex]\frac{G M}{r^3}[/tex]
angular velocity is related to frequency and period
w = 2π f = 2π / T
we substitute
[tex](\frac{2\pi }{T })^2 = \frac{G M}{r^3}[/tex]
T = [tex]4\pi^2 \ \sqrt{ \frac{r^3}{G M}}[/tex]
in this case r= L
T = [tex]4\pi ^2 \ \sqrt{ \frac{L^3}{GM} }[/tex]
Pesticides sprayed on the plants in fields become When they settle and drip onto the soil .
A. Nutrients
B.Pollutants
C.Acid rain
D.Ammonia
Answers
Answer:nutrients
Explanation:
Answer:
pollutants is the right answer.
A straight wire, labeled as Wire A, lies horizontally on a tabletop and is oriented to run north-south. A conventional current of 1.0 amperes runs in the wire directed towards the north. A second wire, labeled as Wire B, is also laid on the tabletop oriented north- south. Which of the following statements is true?
a. If Wire B carries no current in it and lies to the left (west) of wire A, then it will experience an attractive force to the right towards wire A).
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
c. If Wire B carries a northward conventional current and lies to the right (east) of wire A, then it will experience a repulsive force to the right (away from Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
Answers
Answer:
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
Explanation:
Two parallel conductors experience attractive force when the current flowing in the conductors are in the same direction.
Also two parallel conductors experience repulsive force when the current flowing in the conductors are in opposite direction.
Therefore, b and d are the correct options.
b. If Wire B carries a northward conventional current and lies to the left (west) of wire A, then it will experience an attractive force to the right (towards Wire A).
d. If Wire B carries a southward conventional current and lies to the left (west) of wire A, then it will experience a repulsive force to the left (away from Wire A).
15 The group of elements called the noble gases
typically do not chemically react with other
elements. This is true because noble gases tend
to have
A. more protons than other elements.
B. fewer neutrons than other elements.
C. a full outer shell of valence electrons.
D. a single valence electron in the outer shell.
Answers
Answer:
C. a full outer shell of valence electrons.
Explanation:
The noble gases has a full outer shell so they don't have to react with other elements to gain or loose electrons (to have a full outer shell and be stable).
In which direction do electrical and magnetic waves travel in relation to THE
DIRECTION OF WAVE PROPAGATION? *
Parallel
Perpendicular
Backwards
Longitudinal
Answers
Answer: perpendicular
Explanation:
How do you find the period of a sound wave?
Answers
Answer:
Period refers to the time for something to happen and is measured in seconds/cycle. In this case, there are 11 seconds per 33 vibrational cycles. Thus the period is (11 s) / (33 cycles) = 0.33 seconds. We now know that the period is 3.2 seconds and that the frequency is 0.31 Hz.
James weighs 67 pounds on Earth. He has a mass of 30 kilograms. Which of the following is true?
A.
James would weigh more on the Moon than he does on Earth.
B.
James would have a smaller mass on the Moon than he does on Earth.
C.
James would weigh less on the Moon than he does on Earth.
D.
James would have a greater mass on the Moon than he does on Earth.
Answers
Answer:
I think its B. James would have a smaller mass on the Moon than he does on Earth.
sorry if i did it wrong
Can someone please write a summery about Yes day the movie from 2021 and it has to have something about Hygiene in it and this is for 100 points so can you please help me I will give you $100 and 100 points for a 2 page essay
Answers
Answer: This book is about a mom that is always saying no to her kids and is always pushing them to focus on what they are doing, but one day the mom or dad runs into a man that does what he calls "A Yes Day" with his kids and what this is, is for 24 hours you say yes to whatever you want to do and you aren't able to say no. So the mom tries yes day with her kids and they go through many crazy/extreme events. This has to deal with hygiene because the kids trash the house and get very dirty in a few parts of the movie. They always try to be as clean as possible, but the limits have been broken... This is why I think this movie has to deal with hygiene.
Answer:
I can't do 2 pages but I'll try
Explanation:
Yes day is a movie about parents and kids who usually fought, until someone suggested a yes day a day when parents can't say no. In the beginning of the movie, you'll first see that the parents used to say yes to everything, until they has kids they started saying no to everything. When someone suggested yes day they had to earn it, they did all the chores and they got a yes day. They made a list of 5 things they wanna do during yes day. i don't know what else to put for hygiene but yea.
A 60 kg swimmer at a water park enters a pool using a 2 m high slide. Find the velocity of the swimmer
at the bottom of the slide.
Answers
Answer:
the velocity of the swimmer at the bottom of the slide is 6.26 m/s
Explanation:
The computation of the velocity of the swimmer at the bottom of the slide is given below:
v = √2gh
= √2 × 9.8 × 2
= 6.26 m/s
Hence, the velocity of the swimmer at the bottom of the slide is 6.26 m/s
The velocity of the swimmer at the bottom of the slide will be 6.26 m/s.The pace of displacement change with reference to time is referred to as the velocity
What is velocity?The change of displacement with respect to time is defined as the velocity. Velocity is a vector quantity. it is a time-based component. Velocity at any angle is resolved to get its component of x and y-direction.
The velocity is found as;
[tex]\rm v= \sqrt{2gh} \\\\ \rm v= \sqrt{2\times 9.81 \times 2}\\\\ \rm v= 6.26 \ m/sec[/tex]
Hence velocity of the swimmer at the bottom of the slide will be 6.26 m/s.
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The phrase that best describes a field is:
a tower of power
a source of momentum
a sphere of influence
a lever arm
Answers
Answer:
a sphere of influence mmmmmmmmmmm not actually right
What is the de Broglie - equation
Answers
Answer:
is this it?
Explanation:
λ = h/mv, where λ is wavelength, h is Planck's constant, m is the mass of a particle, moving at a velocity v. de Broglie suggested that particles can exhibit properties of waves.
Fill in the graph for 50 points
Answers
Answer:
Speed: 3, 4, 5, 6. Distance: 1, 2, 3, 4, 5
Answer:
Speed: 3, 4, 5, 6. Distance: 1, 2, 3, 4, 5
Explanation:
An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s1045 rad/s ). If a particular disk is spun at 734.1 rad/s 734.1 rad/s while it is being read, and then is allowed to come to rest over 0.569 seconds0.569 seconds , what is the magnitude of the average angular acceleration of the disk
Answers
Answer:
[tex]1290.16\ \text{rad/s}^2[/tex]
Explanation:
[tex]\omega_i[/tex] = Initial angular velocity = 734.1 rad/s
[tex]\omega_f[/tex] = Final angular velocity = 0
t = Time = 0.569 seconds
[tex]\alpha[/tex] = Angular acceleration
From the kinematic equations of rotational motion we have
[tex]\omega_f=\omega_i+\alpha t\\\Rightarrow \alpha=\dfrac{\omega_f-\omega_i}{t}\\\Rightarrow \alpha=\dfrac{0-734.1}{0.569}\\\Rightarrow \alpha=-1290.16\ \text{rad/s}^2[/tex]
The magnitude of the average angular acceleration of the disk is [tex]1290.16\ \text{rad/s}^2[/tex].
g Suppose you have this brilliant idea: A Ferris wheel has radial metallic spokes between the hub and the circular rim (of radius roughly 16 m). These spokes move in the magnetic field of the Earth (5e-05 T), so each spoke acts like a rotating bar in a magnetic field. The magnetic field points perpendicular to the plane of the Ferris wheel. You plan to use the emf generated by the rotation of the Ferris wheel to power the light-bulbs on the wheel. Suppose the period of rotation for the Ferris wheel is 90 seconds. What is the magnitude of the induced emf between the hub and the rim
Answers
Answer:
[tex]4.46\times 10^{-4}\ \text{V}[/tex]
Explanation:
B = Magnetic field = [tex]5\times 10^{-5}\ \text{T}[/tex]
r = Radius of rim = 16 m
t = Time = 90 seconds
A = Area of rim = [tex]\pi r^2[/tex]
EMF is given by
[tex]\varepsilon=\dfrac{BA}{t}\\\Rightarrow \varepsilon=\dfrac{5\times 10^{-5}\times \pi\times 16^2}{90}\\\Rightarrow \varepsilon=0.000446=4.46\times 10^{-4}\ \text{V}[/tex]
The magnitude of the induced emf between the hub and the rim is [tex]4.46\times 10^{-4}\ \text{V}[/tex].
2. An object is dropped from rest. Calculate its velocity after 2.5s if it is dropped:
a.On Earth, where the acceleration due to gravity is 9.8m/s?
b. On Mars, where the acceleration due to gravity is 3.8m/s?
Answers
Answer:
a=24.5 b=9.5
Explanation:
HELP a lot of points and brainliest Step 3: Measure the Speed of the Toy Car on the Lower Track
Calculate the change in time for each quarter of the track. Record the change in time in Table C of your Student Guide.
The change in time for the first quarter is
seconds.
The change in time for the second quarter is
seconds.
The change in time for the third quarter is
seconds.
The change in time for the fourth quarter is
seconds.
Answers
Answer:
is that 4 question each one of them we have to solve
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answers
I believe you are incorrect. A weathered mountain would appear more jagged.
I do believe with a lot of exposure to weather will make the mountain appear somewhat more jagged compared to a mountain that is less weathered.
If this is incorrect, please, don't refrain to tell me.
Rewire each of the following using the correct prefix using 2 decimal places where applicable.
a.0.00000123N
b. 417 000 000 kg
c. 246800
d. 0,00088 mm
Answers
Answer:
a. 1.2×10^-6
b. 0.42×10^9
c. 246.8×10^3
d. 88
A cyclist traveling at 5m/s uniformly accelerates up to 10 m/s in 2 seconds. Each tire of the bike has a 35 cm radius, and a small pebble is caught in the tread of one of them. (A) What is the angular acceleration of the pebble during those two seconds
Answers
Answer:
[tex]a=2.5\ m/s^2[/tex]
Explanation:
Given that,
Initial speed, u = 5 m/s
Final speed, v = 10 m/s
Time, t = 2 s
The radius of the tire of the bike, r = 35 cm
We need to find the angular acceleration of the pebble during those two seconds. It can be calculated as follows.
[tex]a=\dfrac{v-u}t{}\\\\a=\dfrac{10-5}{2}\\\\a=2.5\ m/s^2[/tex]
So, the required angular acceleration of the pebble is equal to [tex]2.5\ m/s^2[/tex].