A light, inextensible cord passes over a light,
frictionless pulley
with a radius of 7.2 cm
It has a(n) 16 kg mass on the left and a(n)
6.7 kg mass on the right, both hanging freely.
Initially their center of masses are a vertical
distance 4.2 m apart.
The acceleration of gravity is 9.8 m/s^2
The question tied to it is…
What is the tension
in the cord when they
pass each other?
Answer in units of N.
Answers
Answer: T = 93 N
Explanation:
Assuming the pulley is ideal meaning frictionless as mentioned and also negligible mass.
ΣF = Σma
Mg - mg = Ma + ma
a = g(M - m) / (M + m)
Now looking only at the larger mass as it falls
Mg - T = Ma
T = Mg - Ma
T = Mg - Mg(M - m) / (M + m)
T = Mg(1 -(M - m) / (M + m))
T = 16(9.8)(1 - (16 - 6.7) / (16 + 6.7))
T = 93 N
or looking only at the smaller mass
T - mg = ma
T = m(g + a)
T = m(g + g(M - m) / (M + m))
T = mg(1 + (M - m) / (M + m))
T = 6.7(9.8)(1 + (16 - 6.7) / (16 + 6.7))
T = 93 N
Related Questions
Harry cycles 8 kilometres in 30 minutes.
Calculate his average speed, in km/h
Answers
Answer:
[tex]\huge\boxed{\sf Average\ speed = 16\ km/hr}[/tex]
Explanation:
Given:
Distance = S = 8 km
Time = t = 30 minutes = 30/60 = 0.5 hours
Required:
Average Speed = ?
Formula:
Average speed = total distance covered / total time taken
Solution:
Average Speed = 8 / 0.5
Average speed = 16 km/hr
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Harry cycles 8 kilometers in 30 minutes and the Harry's average speed obtained is 6 kilometers per hour.
Given:
Total distance covered by the Harry= 8 kilometers
Total time is taken by the Harry= 30 minutes
Convert total time to hours, the total time taken is obtained as:
Total time (hours) = 30 minutes / 60 minutes/hour = 0.5 hours
The average speed of the Harry is given by:
Average speed = Total distance / Total time
Average speed = 8 km / 0.5 hours
Average speed = 16 km/h
Therefore, Harry's average speed is 16 kilometers per hour when Harry cycles 8 kilometers in 30 minutes.
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A sports car of mass 1000 kg can accelerate from rest to 27 m/s in 7.0 seconds. What is the average forward force on the car?
Group of answer choices
a.2.6 x 10^2 N
b.3.9 x 10^3 N
c.2.7 x 10^4 N
d.1.9 x 10^5 N
Answers
Answer:
Explanation:
F = ma = mΔv/Δt = 1000(27 - 0)/(7.0 - 0) = 3,857.1428...
b. F = 3.9 x 10³ N
balls and rods set up to represent a solar system
a set of organs and structures that provide digestion in the human body
the defense plan of a football team drawn on a whiteboard
Which option correctly identifies each description?
I. system
II. model
III. systemI. system, , II. model, , III. system , ,
I. model
II. model
III. systemI. model, , II. model, , III. system , ,
I. model
II. system
III. model
, I. model, , II. system, , III. model
I. system
II. system
III. model
Answers
salt is made up of what elements?
A.sodium and chloride
B.sodium and chlorine
C.sodium and copper
D.sodium and oxide
Answers
Answer:
The first option sodium and chloride
please give brainliest
Salt is made up of what elements?
= Sodium Chloride....
At t=0, a block A of mass 8 kg and block B of mass 16 kg are both at position x=0 . Block A is at rest, and block B is moving at a constant velocity of 10 m/s in the positive x-direction. At t=3 s, the center of mass of the two objects is at the position x=
Answers
The center of mass of the two objects is the average position of the parts of the two object system
The center of mass of block A, and block B after displacement of block B is at 20 m from block A
Reason:
The given parameters are;
The position of block A and block B at t = 0 is x = 0
The mass of block A, m₁ = 8 kg
Mass of block B, m₂ = 16 kg
Speed of block A = 0 m/s
Speed of block B, v₂ = 10 m/s
Location of the center of mass of the two object at t = 3 s; Required
Solution;
The location of block A, after 3 s is x₁ = 0 (block A is at rest)
The location of block B, = v₂ × t
The location of block B, after 3 s is x₂ = 10 m/s × 3 s = 30 m
The center of mass of two masses are given as follows;
[tex]x_{cm} = \dfrac{m_1 \cdot x_1 +m_2\cdot x_2}{m_1 + m_2}[/tex]
[tex]x_{cm} = \dfrac{8 \times0 + 16 \times 30}{8 + 16} = 20[/tex]
The center of mass of the two objects is at at the position x = 20 m (from block A)
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A parallel plate air capacitor of value C, is charged to a potential V, between
the plates and +9, is charge on one plate. Separation between plates is d. A
dielectric of dielectric constant K = 3 fills the space between the plates. Which
of these quantities will change and why. (i) capacitance (ii) charge (iii) po-
tential difference and (iv) field density?
Answers
Answer:
(i) C=3Co
(ii) V=Vo/3
(iii) Decrease
Explanation:
(i) capacitance increase K times.
(ii) As charge remain constant so by using Q=CV
you will get potential decrease by K time.
(iii) Decrease due to induced electric field inside
dielectric material..
E=Eo-Eind
Explanation:
heyaaa hope it helps ☺️✌️
How many total atoms are in the following: 3NHe4
A.15
B.3
C.7
D.12
Answers
The depth of a pond is 1.5m. Calculate the pressure caused by the water at the bottom of the pond ??
Answers
Answer:
Area=1.5(1.5)=2.25m^2
Force of gravity=10N
\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{Force}{Area}\end{gathered}
⟼Pressure=
Area
Force
\begin{gathered}\\ \sf\longmapsto Pressure=\dfrac{10}{2.25}\end{gathered}
⟼Pressure=
2.25
10
\begin{gathered}\\ \sf\longmapsto Pressure=4.4Pa\end{gathered}
⟼Pressure=4.4Pa
In your own understanding what is psychology?
Answers
Answer:
psychology is the science of mind and behavior.psychology is the scientific discipline that studies mental states and processes and behaviour in humans and other animals.Answer:
The study of mind and behavior is known as psychology. Psychology is the scientific study of both conscious and unconscious events, as well as feelings and thoughts. It's a vast academic field that straddles the scientific and social sciences.
A wax is applied to the bottom surface of cross country skis to achieve a good balance between traction when
the skier needs to climb a small hill and speed on downhill slopes. The coefficients of both static and kinetic
friction between the waxed surface and snow increase as temperature decreases. If the temperature rises
during the day and the skier begins to slip backward on hills they should re-wax their skis with what type of
wax? (1 point)
A. One where the coefficient of kinetic friction is smaller
B. One where the coefficient of static friction is larger.
C. One where the coefficient of kinetic friction is larger
D. One where the coefficient of static friction is smaller
Answers
The defined friction force allows you to find which is the correct result for what type of wax you should use:
B. One where the coefficient of static friction is larger.
The friction force is a macroscopic force that opposes the relative movement of bodies, it is the sum of many interactions at the microscope level.
In general for solid bodies the expression of the out of friction is
[tex]fr = \mu N[/tex]
Where fr is the friction force, μ the friction coefficient and N the normal.
The friction coefficient can be of two types:
Static for when the relative velocity between the two bodies is zero. Dynamic when the relative velocity between the two bodies is different from zero.
In general, the dynamic coefficient is less than the static one.
In this case, as the temperature increases, the friction coefficient decreases, so the skier begins to slide downwards. To prevent this sliding, he must use a wax with a higher friction coefficient.
If you only want to stand on the hill, a wax with a static coefficient must be used, while standing if you want to advance on the hill you must use a wax with a dynamic coefficient since there is a relative movement between the skier and the hill.
Let's examine the different alternatives:
A. False. The friction coefficient must be higher, so that there is more friction force.
B. True. The friction increases and can be stopped on the hill and move up the hill.
C. False In this case, you can go up the hill, but if you stop, you can go back.
D. False. The coefficient must be higher, to increase friction.
Consequently we see that the only type of wax that will allow you to stand or advance on the hill is
B. A wax with a higher statutory coefficient.
In conclusion, using the defined friction force we can find the correct result for what type of wax to use is:
B. One where the coefficient of static friction is larger.
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Answer:
One where the coefficient of static friction is larger
Explanation:
An organism's genotype is ?
Answers
genotype is the complete set of genes in an living organism
Which statements are part of the safety protocol for this lab experiment? Check all that apply:
✓ Always wear a lab coat and safety goggles when performing an experiment
X Use caution when freezing fluids as they may expand
✓ Use the right gear, such as tongs and thermal mitts, to handle hot objects
✓ Check glassware, such as beakers and flasks, for cracks and chips prior to use
X Ear protection should be worn to protect against the loud noises associated with heat transfer
Answers
Answer:
Always wear a lab coat and safety goggles when performing an experiment
✓ Behavior in the lab needs to be purposeful. Exercise caution when using the hot plate, as it can cause burns.
X Ice used in this lab can melt quickly. Be sure to insulate your containers.
✓ Label your glassware and paper cups clearly and appropriately. Many chemicals appear to be the same.
✓ Check glassware, such as beakers and test tubes, for cracks and chips prior to use.
X A fume hood should be used to collect any potentially harmful vapors.
✓ Wear the right gear, such as chemically resistant gloves and oven mitts, when performing the experiment.
A, C, D, F
A runner runs the first 400 m of a race in 75 s, the second 400 m in 70 s and the final 800 m in 160 s.
Problem 2, Question 1: What is the total distance traveled?
Problem 2, Question 2: What was her average speed for this run?
helpp this is for today
Answers
Answer:Distance. Time. If a car travels 400m in. 20 seconds how fast is it going? Speed = Calculate the speed: If you move 50 meters at a speed of 10 2 miles in 15 minutes.
I she is running 8 miles every 60 minutes (which is 1 hour), so she is running 8 miles per hour.
we can see that her pace is 7.5 minutes per mile.
hope this helps
I will mark you brainlist please help!
Answers
Answer:
C.) The Distance DH = 1.5 lambda
Explanation:
This statement C.) is false, because it does not count as the 1.5 wavelength, it is less than 1 wavelength.
The Supreme Court decision in Brown v. Board of Education, which desegregated schools, is an example of judicial activism.
True
False
Answers
Newton's Three laws talk about all of the following:
Inertia, Mass, Force, Acceleration, and Velocity.
Which of these five things is involed/relevent to all three laws? Explain why.
Answers
Gravitational force depends on the mass of an object.
Place the items in order from MOST gravitational force (1) to LEAST gravitational force (5)
Atom
Capitol Building
Earth
Sun
human
1.
2.
3.
4.
5.
Answers
Answer:
sun, earth, capitol building, human, atom
Explanation:
Gravity is directly proportional to the size of an object. Therefore, the object with the most mass will have the greatest force of gravity. We know this from the equation. [tex]F = G\frac{m_1m_2}{r^2}[/tex]
4. Mr. S set up an experiment to see how the mass of a
ball affects the distance it rolls off a ramp. Identify the dependent
variable.
a) Distance traveled by the ball
b) Height of the ramp
c) Mass of the ball
Answers
Answer:
The correct answer would have to be
C. Mass of the ball
A cyclist rode the first 30-mile portion of his workout at a constant speed. For the 22-mile cooldown portion of his workout, he reduced his speed by 4 miles per hour. Each portion of the workout took the same time. Find the cyclist's speed during the first portion and find his speed during the cooldown portion.
Answers
Answer:
The cyclist rode the first 26-mile portion of his workout at a constant speed.
Time = distance/speed
Time taken to ride through the first portion is
26/x
For the 18-mile cool down portion of his workout, he reduced his speed by 4 miles per hour. It meas that his speed during the cool down portion is (x - 4) mph. Time taken to ride through the cool down portion is
18/(x - 4)
Since each portion of the workout took the same time, it means that
26/x = 18/(x - 4)
Cross multiplying, it becomes
26(x - 4) = 18x
26x - 104 = 18x
26x - 18x = 104
8x = 104
x = 104/8
x = 13 mph
His speed during the cool down portion is
13 - 4 = 9 mph
Explanation:
not simple
The radius of a sphere is 2.00 m. What’s the surface area
Answers
S.A of sphere = 4πr²
r = 2m
S.A = 4π *4
S.A = 50.26m²
The surface area is 50.26m²
What is surface area?The surface area exists as the amount of space surrounding the outside of a three-dimensional shape.
The surface area of a solid object exists as a measure of the total area that the surface of the object settles.
The surface area of a figure (in square units) exists the number of unit squares it brings to cover the entire surface without gaps or overlaps. If a three-dimensional figure includes flat sides, the sides are named faces. The surface area exists as the total of the areas of the faces.
A radius of a circle or sphere exists in any of the line segments from its center to its perimeter, and in additional modern usage, it exists also its length.
S.A of sphere = 4πr²
r = 2m
S.A = [tex]4\pi *4[/tex]
S.A = 50.26m²
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A 100g object falls 5 meters. How fast do you determine it is moving when it hits the ground?
Answers
Answer:
Approximately [tex]9.9\; \rm m\cdot s^{-1}[/tex], assuming that this object started from rest, [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex], and that air resistance on this object is negligible.
Explanation:
If the effect of drag on this object is negligible, the acceleration of this object would be constantly equal to [tex]g[/tex], the gravitational field strength ([tex]g \approx 9.81\; \rm m\cdot s^{-2}[/tex] near the surface of the earth.)
Since acceleration is constant, it would be possible to find the final velocity of this object using SUVAT equations.
Let [tex]v[/tex] and [tex]u[/tex] denote the final and initial velocity of this object, respectively. Under the assumption that this object started from rest, [tex]u = 0\; \rm m \cdot s^{-1}[/tex].Let [tex]a[/tex] denote the acceleration of this object. Under the assumptions above, [tex]a = g = 9.81\; \rm m\cdot s^{-2}[/tex].Let [tex]x[/tex] denote the displacement of this object. In this question, [tex]x = 5\; \rm m[/tex].The following SUVAT equation would apply:
[tex]v^{2} - u^{2} = 2\, a\, x[/tex].
Rearrange to find an expression for [tex]v[/tex]:
[tex]\begin{aligned}v^{2} &= 2\, a\, x + u^{2}\end{aligned}[/tex].
[tex]\begin{aligned}v &= \sqrt{2\, a\, x + u^{2}}\end{aligned}[/tex].
Substitute in the values [tex]u = 0\; \rm m\cdot s^{-1}[/tex], [tex]a = 9.81\; \rm m\cdot s^{-2}[/tex], and [tex]x = 5\; \rm m[/tex]. Evaluate the expression to find the value of [tex]v[/tex]:
[tex]\begin{aligned}v &= \sqrt{2\, a\, x + u^{2}} \\ &= \sqrt{2 \times 9.81\; \rm m\cdot s^{-2} \times 5\; \rm m} \\ &\approx 9.9\; \rm m\cdot s^{-1}\end{aligned}[/tex].
Therefore, under these assumptions, the velocity of this object would be approximately [tex]9.9\; \rm m\cdot s^{-1}[/tex] right before it hits the ground.
Which of the following processes is an important part of star formation? A. nuclear fusion B. nuclear fission C. molecular fusion D. molecular fission
Answers
Answer:
B
Explanation:
Answer:
Option A is correct.
Explanation:
At the temperature [tex]10^{7}K[/tex] the hydrogen atoms fuse to form helium thus a large amount of heat is produced and stars are formed.
What causes a star to form?Due to gravitational pull the particles and the molecules of gases become condense and by which it becomes hot. The process goes unless the temperature of the core becomes 10,000,000K.
At this temperature, the fusion takes place and energy is released.
Thus the star shines.
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Why is an un-magnetised iron object attracted to a magnet?
Answers
Answer:
Why is an unmagnetized iron object attracted to a magnet?
Magnets attract iron due to the influence of their magnetic field upon the iron. When exposed to the magnetic field, the atoms begin to align their electrons with the flow of the magnetic field, which makes the iron magnetized as well.
Explanation:
An un-magnetized iron object attracted to a magnet because each atom of iron object behaves like a complete magnate having north and south pole of equal strength.
The electron revolving around the nucleus of iron atom are equivalent to small current loop having magnetic dipole.
What is Magnetization?When a magnetic material is positioned close to a magnet, it induces a density of magnetic dipole moments known as magnetization.
The motion of electrons in atoms, or the spin of the electrons or the nuclei, is what produces a material's magnetic properties; the magnetic effect can also be created by running an electrical current through the material.
When an un-magnetized iron object attracted to a magnet; every iron atoms experiences a magnetic attraction force due to magnetic field of the magnet and the atoms try to aliened themselves in such way that they can experience optimum attraction.
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Is this equation balanced? 2HCl + CaCO3 → CaCl2 + H2O + CO2
Answers
Answer:
Yes it is
Explanation:
the sum moles at the left side equals the sum of moles at the right side
Starting from rest, a ball of mass 2 kg is accelerated at 4 m/s^2 for 3 s. What is the final kinetic energy (in J) of the ball after 3 s?
Answers
Answer:
144 joules
Explanation:
v=initial velocity+(acceleration × time)
v=0+(4×3)
v=12m/s
k.e =0.5 × mass × velocity^2
=0.5 × 2 × 12^2
=1 × 144
=144 joules
A person weighing 600 N is standing in an elevator. If the upward force of the elevator on the person is 800 N, which of the following is true?
Answers
Answer:
person is accelerating downwards
Explanation:
We are told that the force of the person standing on the elevator is 800 N acting downwards.
We are also told that the upward force of the elevator on the person is 600 Newtons.
This means that Upward force is lesser than downward force and thus the person is accelerating downwards
Explain how mass and distance affect gravity (and other non-contact forces for that matter)
Answers
Answer:
How Do Mass and Distance Affect the Force of Gravity Between Two Objects?
The force of gravity between two objects is determined by the mass of each object and the distance between their centers. Objects with a greater amount of mass will exert a greater degree of gravitational pull, but as the distance between two objects increases, the gravitational force between them lessens.
Explanation:
An example of the significance of distance in Newton's law is how a person's weight decreases when they are further away from the center of the Earth, such as in an orbiting space station. The gravitational force, experienced as weight, is decreased, even through the person's mass and that of the Earth remain the same.
TDS and ppm are common units used to measure
a) the amount of some item in the water.
b) the temperature of water.
c) the direction of water currents.
d) the flow speed of a river
Answers
Answer:
c
Explanation:
pls give brainliest have a great day
TDS and ppm are common units used to measure the quantity of substance in the water, therefore the correct answer is option A.
What is a unit of measurement?A unit of measurement is a specified magnitude of a quantity that is established and used as a standard for measuring other quantities of the same kind. It is determined by convention or regulation.
Common units used to measure the amount of material in water are TDS and part per million.
As given in the problem we have to find out for what measurement, the units TDS (Total dissolved solid )and ppm (parts per million) are used.
The total dissolved solid and parts per million are used to measure the amount of substance present in the water, therefore the correct answer is option A.
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C) speed.
11. Which of the following is a scientific statement?
A) candy Bon Bons contain no sugar
B) there are things we will never know about
matter is filled with undetectable particles
D) there are parts of the universe that will never be disco
E) none of the above
Answers
Explanation:
Cccccc for sure(⌐■-■)Iam a genius
The scientific statement here is option B , there are things we will never know about matter is filled with undetectable particles. This statement is describing the nature of a matter in a scientific way.
What is a scientific statement ?A scientific statement is a description about any phenomenon or properties of any substance in a scientific way. That may include theoretical predictions, universally accepted things, observations etc.
Most of the scientific statements are stated based on the results of well designed scientific investigations and are communicated through various scientific journals and articles.
Here, the statement that describes the nature of matter and its composition is an example of scientific statement. All of the other statements are not scientific.
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Which are characteristics of a solid? (Select all that apply.)
It maintains its volume.
It can be compressed.
It keeps its shape.
It fills the container it is in.
Answers
A solid maintains its volume and shape.