77. Two blocks, with masses m1 = 400 g and m2 = 600 g, are connected by a string and lie on a frictionless tabletop. A force F = 3.5 N is applied to block m2. Find the acceleration of each object.
Answers
Answer:
See the answers below. And the free body diagrams attached.
Explanation:
To solve this problem, we must build a free body diagram, where we show the forces acting on a body, first for the m2 body, where the force of 3.5 [N] acts to the right. In such a way that a reaction force is presented in the opposite direction due to the string tied between both bodies, we will call this force T1.
Now using Newton's second law, which is defined as the sum of forces equal to the product of mass by acceleration, we can determine an equation as a function of T1.
∑F = m*a
[tex]3.5 -T_{1}=0.6*a_{2}[/tex]
We have an equation with two unknowns, in such a way we must perform a second free body diagram for the body with mass m1, to acquire the additional equation.
∑F =m₁*a₁
[tex]T_{1}=0.4*a_{1}[/tex]
By kinematics we know that if the string tied to Body 2 moves a distance, the part of the string at the end tied to body 1 will move the same distance. This same analysis is valid for velocities and accelerations.
This is the accelerations a1 and a2 are equal. Now equalizing both equations.
[tex]3.5-0.4*a_{1}=0.6*a_{2}\\but\\a_{1}=a_{2}\\3.5-0.4*a_{1}=0.6*a_{1}\\a_{1}=3.5[m/s^{2} ][/tex]
The acceleration of each block connected by the given string is 3.5 m/s².
The given parameters;
mass of the first block, m1 = 400 g = 0.4 kgmass of the second block, m2 = 600 g = 0.6 kgapplied force, F = 3.5 NThe net force on the blocks is calculated as follows;
[tex]\Sigma F = ma\\\\F - T = m_2a\\\\F - m_1(a -g)= m_2a\\\\g = 0 \ , \ in \ horizontal \ direction\\\\F - m_1a = m_2 a\\\\F = m_2 a + m_1 a\\\\F = a(m_1 + m_2)\\\\a = \frac{F}{m_1 + m_2} \\\\a = \frac{3.5 }{0.4 + 0.6} \\\\a = 3.5 \ m/s^2[/tex]
Thus, the acceleration of each block connected by the given string is 3.5 m/s².
Learn more here:https://brainly.com/question/20357188
Related Questions
2 Which of the following effectively summarizes paragraph 2?
A The orientation in space, relative to the Sun, is the cause
of Earth's seasonal changes.
1
B There is an imaginary pole running through the center of
Earth from the North Pole to the South Pole, which is called
an axis.
C We also learned that Earth's axis is tilted 23.5
degrees from the perpendicular of the plane of the
ecliptic.
D The northern hemisphere has more daylight hours.
Answers
Answer:B
Explanation:
The statement that summarizes the paragraph is northern hemisphere has more daylight hours.
What is Earth?The Earth is part of the nine planet and it comprises of the equator, northern and southern hemisphere.
It is the most suitable place for living because it have water,oxygen and other gases that support life.
Therefore, The statement that summarizes the paragraph is northern hemisphere has more daylight hours.
Learn more about Earth below.
https://brainly.com/question/746553
#SPJ2
You can use the curved part of a spoon as a mirror because it
light.
Which best completes the statement?
O reflects
O refracts
O absorbs
O enhances
Answers
Answer:
the correct answer is actually refelcts
Explanation:
What is radioactive dating? How is it used to determine age of something?
answer 2 question basically please Help!!!
Answers
Answer:
Technique of comparing abundance ratio between radioactive isotopes to a reference isotope to determine the age of a material called radioactive dating. It determines the age by having a more abundance of isotopes in the cellular being.
Which vector below goes from (0,0) to (-2,4)?
A. c
B. a
C. b
D. d
Answers
Answer:
I believe it is A.c
Explanation:
hope its right
Answer:
the correct answer is A with a line on top
Explanation:
I just did the quiz
There are two tall slides at the newly opened theme park, a blue slide and a red slide. The slides have such a height that, if it weren't for friction and air resistance, riders would travel twice as fast at the bottom of the blue slide as they do at the bottom of the red slide. If the red slide is 8m tall, how tall is the blue slide?
Answers
Answer:
32 m
Explanation:
By energy conservation, total energy at the top of slide must be equal to the total energy at at the bottom.
therefore
mgh = (1/2)mv^2
v^2= 2gh
[tex]v = \sqrt(2gh)[/tex] ..............(1) i.e., velocity is a function of height of slide.
1st part
Let height of blue slide be H and height of red slide be h.
Let velocity of rider in blue slide= V and red slide= v
At the bottom of slide,
From equation (1)
therefore
[tex]\frac{V^{2}}{v^{2}} = \frac{2gH}{2gh}[/tex]
Given, V= 2v
[tex]\therefore \frac{4v^{2}}{v^2{}} = \frac{H}{h}[/tex]
H = 4h
therefore, height of blue slide is 4 times that of red slide= 4*8=32 m
answer please in comment what i am typing
Answers
Answer:
Hiiiiiiii........where r u frm??
magnetic field strength decrease when what is increases
Answers
Question 4
1 pts
What is the mass of a rock sitting on a 10 meters high cliff if it has a potential energy of 500
joules?
50 kg
10 kg
5 kg
1000 kg
Answers
Answer:
it's answer is 5 kg
hope it helps youAnswer:
5kg is your answer
I hope it helps mate
I will always help you understanding your assingments
have a great day
I am bored
#Captainpower:)
Select the correct answer.
Which diagram represents an object in equilibrium?
ОА.
applied
force = 20 N
force due to
friction = 15 N
OB.
applied
force = 20 N
force due to
friction = 20 N
OC.
applied
force = 15 N
force due to
friction = 25 N
OD.
applied
force = 30 N
force due to
friction = 20 N
ОЕ.
applied
force = 30 N
force due to
friction = 15 N
Reset
Next
My
Answers
Answer:
B
Explanation:
The force and friction cancel each other.
20N - 20N = 0N acting on the object.
Which of the following would result in the greatest gravitational force between the two objects?
A. two astronauts on a space walk that are 10 meters apart
B. two mosquitoes 0.25 meters apart flying around your head
C. two oxygen atoms separated by 1 meter inside of a hot air balloon
D. two massive blocks of concrete that are 1 meter apart floating in deep space
Answers
Answer:
i think b
Explanation:because they are so close
A mass of 630g is hung on a spring. Using Force = mass x gravity, what is the force of the mass, acting on the spring?
Answers
Answer:
6.174N or roughly 6.2N
Explanation:
630g=0.63kg
F=m*g=0.63*9.8=6.174N
A wire of resistance R is cut into ten equal parts which are then connected in parallel. The equivalent resistance of the combination is
Answers
Answer:
The equivalent resistance of the combination is R/100
Explanation:
Parallel Connection of Resistances
If resistances R1, R2, R3,...., Rn are connected in parallel, the equivalent resistance is calculated as follows:
[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...+\frac{1}{R_n}[/tex]
The electric resistance of a wire is directly proportional to its length. If a wire of resistance R is cut into 10 equal parts, then each part has a resistance of R/10.
It's known the 10 parts or resistance R/10 were connected in parallel, thus the electric resistance is:
[tex]\displaystyle \frac{1}{R_e}=\frac{1}{R/10}+\frac{1}{R/10}+\frac{1}{R/10}+...+\frac{1}{R/10}[/tex]
Note the sum consists of 10 equal terms. Operating on each term:
[tex]\displaystyle \frac{1}{R_e}=\frac{10}{R}+\frac{10}{R}+\frac{10}{R}+...+\frac{10}{R}[/tex]
The sum of 10 identical fractions yields 10 times each fraction:
[tex]\displaystyle \frac{1}{R_e}=10\frac{10}{R}=\frac{100}{R}[/tex]
Solving for Re needs to take the reciprocal of both sides of the equation:
[tex]R_e=R/100[/tex]
The equivalent resistance of the combination is R/100
why water molecules are closer together in the liquid state than in the solid state.
Answers
Answer:
because of the hydrogen bonds, as water molecules come together they stick to one another for a small, but significant amount of time. This slows them down, and holds them closer to one another. They become a liquid; a different state of matter where the molecules are closer and slower than in a gas.
Answer:
When water is in its solid-state, the water molecules are packed close together preventing it from changing shape.
Explanation:
In general, when considering the states of matter, solids are denser than liquids, and normally liquids are denser than gases.
Hope this helps!
Brain-List?
repeating anyone ineed answers plsss?
Answers
Answer:
the answer of question no5 is b
is there any possibility to make 100% efficient system
Answers
Answer:
yes
Explanation:
its awesome
A boxer pushes on a 25 kg heavy bag which is attached to the ceiling until it makes an angle of 36 degrees to the vertical. How much force must the boxer exert on the bag?
Answers
Answer:
198.20 N
Explanation:
Given that,
Mass of a heavy bag, m = 25 kg
The bag is attached to the ceiling until it makes an angle of 36 degrees to the vertical.
We need to find the force must the boxer exert on the bag. The force acting on the bag is given by :
[tex]F=mg\cos\theta\\\\=25\times 9.8\times \cos(36)\\\\=198.20\ N[/tex]
So, the required force is 198.20 N.
The form of energy stored in food is known as
Answers
Answer: This form of energy is called Chemical Energy. Hope this helped!
Visible light is the _______ that our eyes can see.
Answers
Answer:
Spectrum because it could respond to a specific color based upon how you humans typically perceive Lights of the wavelength
Answer:
spectrum
Explanation:
Susan makes the following entry in her notebook: “On Friday we were given a blue liquid in a shallow container. We placed it on the windowsill over the weekend. On Monday morning, there was no liquid left, but the dish had some solid blue stuff in it.”
a. Was the blue liquid in the dish a heterogenous mixture, a solution, or a pure substance? Explain your choice.
b. Write a few sentences about what you think happened in the dish.
Answers
Answer:
Explanation:
a. From the information provided in the question, the blue liquid is a solution. This is because a solution is a type of homogeneous mixture (that has an evenly distributed solute in a solvent) which is the reason the liquid was said to be blue (and not immiscible blue solid in a liquid) but after been exposed to heat became just a blue solid. Typically, a solution has a solute and a solvent (combined), the solute here is the blue solid while the solvent is the liquid that made the combination a liquid.
b. Since the dish containing the liquid was placed on a windowsill, it can be assumed that the dish was subjected to heat from the sun which caused the liquid (in the solution) to evaporate after exposure to the heat from the sun (over the weekend) leaving the blue solid solute (of the solution) to remain in the dish. This can be referred to as evaporation to dryness in separation techniques (if the goal was to intentionally separate the solid solute from the liquid solvent).
YALL PLS HELP ME! CAN YOU GUYS CHECK MY ANSWERS?
Answers
Answer:
1. Newton's First Law of Motion
2.Newton's Third Law of Motion
3.Newton's Third Law of Motion
4.Newton's Second Law of Motion
5.Newton's Third Law of Motion
6.Newton's Second Law of Motion
7.Newton's First Law of Motion
Explanation:
Newton's First Law of Motion states that an object remain at rest or moving with a uniform velocity unless an external force acts on it. This is the law of inertia
Newton's Second Law of Motion states that the force of an objects is the product of mass and acceleration.
Newton's Third Law of Motion states that when two objects interact, a pair of forces act on the objects, and they are equal and act in opposite directions.
Solve for v
when
d = 10 and
t=5
Answers
Answer:
asfsdfasasfsda
Explanation:
Answer:
IDEK HOW TO SOLVE
Explanation:
Simone is walking her dog on a leash. The dog is pulling with a force of 32 N to the right and Simone is pulling backward with a force of 16 N.
What is the net force on them?
N
Is this force balanced or unbalanced?
Will the dog move forward, backward, or remain stationary?
Answers
Answer:1.16
2.unbalanced
Explanation:
Answer:
What is the net force on them?
⇒ 16 N
Is this force balanced or unbalanced?
⇒ unbalanced
Will the dog move forward, backward, or remain stationary?
⇒ forward
Explanation:
did it :)
What units would you use to measure a virus (nanometers micrometers millimeters)
Answers
nanometers
to measure a virus you use nanometers
Quick please I'll give you brainliest.
Answers
Answer:
its c
Explanation:
Which of the following improves your range of motion and helps prevent
injuries?
A. A healthy body composition.
B. Strong flexibility.
C. Strong cardio-respiratory endurance.
D. A good sense of balance.
Answers
pressure exerted on a surface depends on________
(a) force and pressure
(b) density and area
(c) height and density
(d)Area and density of liquid
Answers
Answer:
(a) Force and Pressure
Explanation:
Acc to the formula,
Force = Pressure/Area
Therefore it depends on force and pressure
All I need help on, is the first one on the top row. Thanks :))
Answers
The wasted energy is thermal energy (heat).
The light bulb’s efficiency is 67.5%
Answer:
1a)40-27=13
1b) heat
1c)efficiency = W out/W in
so 27/40= 67%
Which type of mirror would you use to cook a hot dog and why?
Answers
What is a type of light that the sun emits but a light bulb does not?
Gamma ray
X-ray
Ultra violet (UV)
Visible
Infrared (IR)
Microwave
Radio
Answers
Household lightbulbs don't emit radio, microwave, X-rays or gamma rays, and only a smidgen of ultraviolet.
The sun emits everything on the list.
The Sun emits many types of light , the ultraviolet, X-ray, and even gamma-ray, radio and infrared parts of the spectrum.
The light bulb emits very small amounts of UV light.
The Sun emits many types of light , the ultraviolet, X-ray, and even gamma-ray parts of the spectrum.But most of the Sun's light is in the infrared, visible, and ultraviolet parts of the electromagnetic spectrum.The Incandescent light bulbs, the most commonly used light bulbs in homes, give off small amounts of UV light. The UV light emitted by these bulbs is so small that it's impossible for human health to be affected in any way.Learn more:
https://brainly.com/question/2499551
What is osomsis and diffusion
Answers
Answer:
Osmosis is the movement of solvent particles across a semipermeable membrane from a dilute solution into a concentrated solution. ... Diffusion: Diffusion is the movement of particles from an area of higher concentration to lower concentration. The overall effect is to equalize concentration throughout the medium.