Complete Question:
What force (in N) must be exerted on the master cylinder of a hydraulic lift to support the weight of a 2100 kg car (a large car) resting on the slave cylinder ? The master cylinder has a 2.00-cm diameter and the slave has a 24.0-cm diameter
Answer:
[tex]F_1 = 142.92N[/tex]
Explanation:
Given
[tex]m = 2100kg[/tex] --- mass
[tex]D_1 = 2.00\ cm[/tex] --- diameter of the large cylinder
[tex]D_2 = 24.0\ cm[/tex] --- diameter of the slave cylinder
To do this, we apply Archimedes' principle of buoyancy which implies that:
[tex]P = \frac{F_1}{A_1} = \frac{F_2}{A_2}[/tex]
Where
[tex]F_1 = Force\ on\ the\ master\ cylinder[/tex]
[tex]F_2 = Force\ on\ the\ slave\ cylinder[/tex]
[tex]A_1 = Area\ of\ the\ master\ cylinder[/tex]
[tex]F_2 = Area\ of\ the\ small\ cylinder[/tex]
Calculating the area of the master cylinder.
[tex]A_1 = \pi r_1^2[/tex]
[tex]r_1 = \frac{1}{2}D_1 = \frac{1}{2} * 2.00cm = 1.00cm[/tex]
[tex]A_1 = \pi* 1^2[/tex]
[tex]A_1 = \pi * 1[/tex]
[tex]A_1 = \pi[/tex]
Calculating the area of the slave cylinder.
[tex]A_2 = \pi r_2^2[/tex]
[tex]r_2 = \frac{1}{2}D_2 = \frac{1}{2} * 24.00cm = 12.00cm[/tex]
[tex]A_2 = \pi* 12^2[/tex]
[tex]A_2 = \pi* 144[/tex]
[tex]A_2 = 144\pi[/tex]
Substitute these values in:
[tex]P = \frac{F_1}{A_1} = \frac{F_2}{A_2}[/tex]
[tex]\frac{F_1}{\pi} = \frac{F_2}{144\pi}[/tex]
Multiply both sides by [tex]\pi[/tex]
[tex]\pi * \frac{F_1}{\pi} = \frac{F_2}{144\pi} * \pi[/tex]
[tex]F_1 = \frac{F_2}{144}[/tex]
The force exerted on the slave cylinder (F2) is calculated as:
[tex]F_2 = mg[/tex]
[tex]F_2 = 2100 * 9.8[/tex]
[tex]F_2 = 20580[/tex]
Substitute 20580 for F2 in [tex]F_1 = \frac{F_2}{144}[/tex]
[tex]F_1 = \frac{20580}{144}[/tex]
[tex]F_1 = 142.92N[/tex]
Hence, the force exerted on the master cylinder is approximately 142.92N
50 POINTS WILL MARK BRAINLIEST!!!!
Choose a scientist from the timeline on the previous page. Conduct research using outside sources. Be sure to choose reliable resources such as government, scientific, and educational websites. Document all research in your own words. Be sure to properly site all resources used in your assignment.
Research and respond to the following: The person is Neil Bohr
Were there experiences in his life that led to his interest in science and the study of the atom?
Defend his work on the atom and its contribution to the modern atomic model.
Point out which contributions are present in the modern atomic model and which were eventually disproven and thus are not part of the modern model.
Neil Bohr works on atomic model and contributes semi-classical model of an atom.
What is Bohr's model of an atom?Neil Bohr put forth the Bohr model of the atom in 1915. It was created by the modification of Rutherford's atomic model.
By explaining that electrons move in fixed orbitals (shells) and not anywhere in between, Bohr theory amended the atomic structure model. He also showed that each orbit (shell) has a fixed energy. Bohr refined Rutherford's model of the atom's nucleus to include electrons and their varying energy levels.
In Bohr's theory, there is a tiny, positively charged nucleus that is surrounded by negatively charged electrons that orbit the nucleus. According to Bohr, an electron that is farther from the nucleus has more energy than one that is closer to it.
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*Astronomy not physics
How long does it take a message to travel from Earth at Pluto at its average distance from Earth (about 5.9
billion km)?
The greenhouse effect is
How old is the sun
and when will the sun blow up
Answer:
the sun is 4.5 bill years old. and Astronomers estimate this to be a short 7 billion years from now before its explodes.
Explanation:
Which property of the wave makes it-(C)
the loudest? Choose the correct answer
Low amplitude o
High amplitude o
Low frequency O
High frequency O
Answer:
low amplitude hope it will help you
Measurement is advantageous in daily life. Why?
can someone give me a 5 day fitness plan with all the reps and sets for 3 only and 4 exercises a day
Answer:
Classic 5 Day Split
Day 1 – Chest
Day 2 – Legs
Day 3 – Rest
Day 4 – Back
Day 5 – Arms
Day 6 – Shoulders
Day 7 – Rest
Upper Lower Push Pull Legs
Day 1 – Upper
Day 2 – Lower
Day 3 – Rest
Day 4 – Push
Day 5 – Pull
Day 6 – Legs
Day 7 – Rest
5 Day Split Variation
Day 1 – Chest
Day 2 – Legs & Shoulders
Day 3 – Back
Day 4 – Biceps & Triceps
Day 5 – Core & Cardio
Day 6 – Rest
Day 7 – Rest
Explanation:
1) Should I take vitamin D supplements in the winter?
If it takes you 10 seconds to move a chair 5 meters across the floor, using a force of 2 Newtons, how much power did you put out?
Answer:
1watt
Explanation:
Given parameters:
Time = 10s
Distance = 5m
Force = 2N
Unknown:
Power = ?
Solution:
Power is defined as the rate at which work is being done by a body.
Power = [tex]\frac{Work done }{time }[/tex]
Work done = Force x distance = 2 x 5 = 10J
So;
Power = [tex]\frac{10}{10}[/tex] = 1watt
Answer:
1
Explanation:
The net force on the propeller of a 3.2 kg model airplane is 7.0N forward. What is the acceleration of the airplane? If it starts from rest, what is the velocity of the plane after 2.5 seconds?
Answers:
Acceleration = 2.1875 m/s^2
Velocity after 2.5 seconds = 5.46875 m/s
=======================================================
Work Shown:
Part 1
The mass is m = 3.2 and the force is F = 7.0
Apply the formula F = ma to find the acceleration to be...
F = ma
7.0 = 3.2*a
7.0/3.2 = a
2.1875 = a
a = 2.1875
The acceleration is 2.1875 m/s^2
Every second, the velocity of the plane is increasing by 2.1875 m/s.
----------------------
Part 2
We have the following variables
vi = initial velocity = 0 m/s (since it starts from rest)vf = unknown final velocity (what we're trying to figure out)t = change in time = 2.5 secondsa = acceleration = 2.1875 m/s^2Using one of the kinematics equations, we can then say,
vf = vi + a*t
vf = 0 + 2.1875*2.5
vf = 5.46875
After 2.5 seconds, the airplane is traveling 5.46875 m/s.
5.46875 m/s converts to roughly 12.2332 mph.
___have a definite shape and do not easily take the shape of their container
Answer:
Explanation:
A solid comes into your hands with a definite shape. Think of something like a rock. It is not going to be easy to change its shape. So the answer is a solid.
PLEASE HELP ME ASAP
What symbol represents a change in entropy?
A. H
B. AH
C. S
D. AS
The answer is D..................................................
What would be the electrostatic force between an electron and a neutron? Explain your answer
what is physical quantity
A physical quantity is a property of a material or system that can be quantified by measurement. A physical quantity can be expressed as the combination of a numerical value and a unit. For example, the physical quantity mass can be quantified as n kg, where n is the numerical value and kg is the unit.
Answer:
a property of a material or system that can be quantified by measurement
have a nice day!!!
PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP
The first person with the right answer gets to be a brainlest
In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Answer:
the red at the bottom should not count, but the red at the top is the least dense because it floats upon the other liquids
Explanation:
hope this helps
If the column of mercury in a barometer stands at 72.6 cm, what is the atmospheric pressure?
(The density of mercury is 13.6 X 103 kg/m3 and g = 9.80 m/s2)
Answer:pressure = density * acceleration due to gravity * height
H=72.6cm= 0.726m
P=0.726*13.6*10^3*9.8
P=96761.28Pa
Explanation:
The atmospheric pressure if the column of mercury in a barometer stands at 72.6 cm is 9.68 × 10⁴ Pa.
What is Pressure?The stress at a location within a confined fluid or the perpendicular force per unit area are the two definitions of pressure used in the physical sciences. A 42-pound box with an area of 84 square inches at the bottom will apply pressure on a surface equal to the force divided by the surface area.
Given:
The height in the barometer, h = 72.6 cm or 0.726 m,
The density of mercury, d = 13.6 × 10³ kg/m³,
The gravitational acceleration, g = 9.80 m/s²,
Calculate the atmospheric pressure by the following formula,
P = dgh
Here, P is the atmospheric pressure
Substitute the values,
P = 13.6 × 10³ × 9.80 × 0.726
P = 9.68 × 10⁴ Pa,
Therefore, the atmospheric pressure if the column of mercury in a barometer stands at 72.6 cm is 9.68 ×10⁴ Pa.
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3. A soccer player applies an average force of 180 N during a kick. The kick accelerates a .45 kg soccer ball from rest to a speed of 18 m/s. What is the impulse imparted to the ball
Answer:
8.1Ns
Explanation:
Impulse is expressed as the product of Force and time
Impulse = Ft
F is the force = 180N
Get the time using the equation of motion
v = u+at
18 = 0+F/m(t)
18 = 180/0.45(t)
18 = 400t
t = 18/400 secs
Recall that;
Impulse = Ft
Impulse = 180×18/400
Impulse = 8.1Ns
Hence the impulse imparted to the ball is 8.1Ns
Equal amounts of heat are added to equal masses of the four substances
listed in the table. All four substances are initially at room temperature. Which
of the substances will have the highest increase in average molecular kinetic
energy?
Substance
air
glass
plastic
wood
Specific heat capacity (kJ/kg•°C)
1.01
0.84
2.60
1.68
A. Glass
B. Air
O O O O
C. Plastic
D. Wood
Answer:
the answe is letter c.plastic
Why is it important that an astronomer studies physics?
Answer:
Astrophysicists study the physics of the universe. “Astrophysics” is a term that is often used interchangeably with “astronomy.” Atomic, molecular, and optical physicists study atoms, simple molecules, electrons, and light, as well as the interactions among them
Explanation:
PLEASE HELP ASAP
a boy swings a bucket containing 2.4 kg of water in a vertical circle of radius 0.6 m at a constant rotational rate of 1 revolution every 1.4 seconds. Find the following quantities:
the angular speed of water in rad/sec
the tangential speed of the water in meters/sec
Answer:
a) ω = 4.49 rad/s
b) v = 2.69 m/s
Explanation:
a) The angular speed can be found by using the rotational rate:
[tex] \omega = \frac{1 rev}{1.4 s}*\frac{2\pi rad}{1 rev} = 4.49 rad/s [/tex]
Hence, the angular speed is 4.49 rad/s.
b) The tangential speed is given by:
[tex] v = \omega*r = 4.49 rad/s*0.6 m = 2.69 m/s [/tex]
Therefore, the tangential speed is 2.69 m/s.
I hope it helps you!
A tire spinning at 5m/s uniformly accelerates to 10 m/s in five seconds. Its radius is 10 cm. Through what angle will pebble stuck in the tire revolve during this interval?
20 cm and 9 cm 30 cm is the distance for 5 mins so it will be 20 cm
Friction
Questions
1 Jo, Daniel and Helen are pulling a metal ring. Jo pulls with
a force of 100N in one direction and Daniel with a force
of 140 N in the opposite direction. If the ring does not
move, what force does Helen exert if she pulls in the same
direction as Jo?
Answer:
Helen's force must be of 40 N in the same direction as Jo.
Explanation:
Net Force
When a number of forces are applied to an object, the net force is the sum of all the forces considered as vectors.
When all forces act on a straight line, only two possible directions are considered and they can be arbitrarily assigned positive and negative signs.
Jo pulls with a force of 100 N in a direction considered as positive (for example). Daniel applies a force of 140 N in the opposite direction, obviously negative. The net force of these two forces is 100 N - 140 N = - 40 N.
This means there is a resultant non-zero force in the direction of Daniel's. If we are told the net force is zero because of Helen's force, it must be applied in the same direction as Jo's force to balance.
Helen's force must be of 40 N in the same direction as Jo.
Which statement provides the best description of a computational model?
-It is an exact representation of reality, but on a scale we can use more easily.
-It is an individual’s guess about how things will work out.
-It is a simplified version of reality used to make predictions.
-It is something that allows us to know exactly what will happen if we input enough accurate information.
Answer:
The answer is "Option C".
Explanation:
Computation modeling is used as the software for math, physics, or software engineering in the simulation and study of complicated processes. The software framework incorporates many parameters, that characterize the model under study. It is a computer program, in which the mathematical formula is generated by computers and research complex systems.
what are all the kinds of kinematic equations
The period T of a pendulum of length L is measured to determine g at the surface of Earth. The equation used is T=2π√L/g. The mass of the pendulum bob is 10.0 kg, and the length of the pendulum is 1.00 m. Which of the following would contribute most to the expected error in the result?
a. 10% uncertainty in the measurement of the mass.
b. Approximating the value of t as 3.14.
c. Variation in the value of g as the pendulum bob moves along its arc.
d. Using the average period of 10 timed oscillations instead of the period of 1 timed oscillation.
d. Starting the pendulum swinging by releasing it from a horizontal position D. E.
Answer:
C: Variation in the value of g as the pendulum bob moves along its arc.
Explanation:
The formula for period of a simple pendulum is given by;
T = 2π√(L/g)
Where;
L is length
g is acceleration due to gravity
Now, from this period equation, it is clear that the only thing that can affect the period of a simple pendulum are changes to its length and acceleration due to gravity.
Looking at the options, the only one that talks about either the length or gravity as being potential causes of the error is option C
Kate must do 39 days of training each year as a naval reservist. How will she serve that time?
A.
one month plus one week
B.
three weeks in the summer plus two in the winter
C.
one weekend per month plus two weeks
D.
two weeks in the spring plus three in the fall
Answer:
c
Explanation:
i did the test
Kinetic energy is the energy of movement describe how kinetic energy plays a role in transferring heat from one object to another
Question 1: Bicycle pump
In this problem, you will look at the pressure developed by the piston in a
bicycle pump
Air at atmospheric pressure (1.0 x 105 Pa) is compressed at constant
temperature in a bicycle pump so that its volume is reduced by a factor of
5.
What is the pressure of the air when compressed?
Answer: The pressure of the air when compressed is [tex]5.0\times 10^5Pa[/tex]
Explanation:
Boyle's Law: This law states that pressure is inversely proportional to the volume of the gas at constant temperature and number of moles.
[tex]P\propto \frac{1}{V}[/tex] (At constant temperature and number of moles)
[tex]P_1V_1=P_2V_2[/tex]
where,
[tex]P_1[/tex] = initial pressure of gas = [tex]1.0\times 10^5Pa[/tex]
[tex]P_2[/tex] = final pressure of gas =?
[tex]V_1[/tex] = initial volume of gas = V
[tex]V_2[/tex] = final volume of gas = [tex]\frac{V}{5}[/tex]
[tex]1.0\times 10^5\times V=P_2\times \frac{V}{5}[/tex]
[tex]P_2=5.0\times 10^5Pa[/tex]
Therefore, the pressure of the air when compressed is [tex]5.0\times 10^5Pa[/tex]
A playground merry-go-round is a solid disk of radius 2 m and mass 500 kg. If four children with masses of 27 kg each are standing on the edge (holding on), how hard would an AP Physics student have to push tangent to the edge to accelerate the whole thing at 3.1 rad/s^2
Answer:
F = 2220 N
Explanation:
There exists a fixed relationship, that resembles Newton's 2nd Law (applied to rigid bodies) between an external net torque (τ), the rotational inertia (I) of the body, and the angular acceleration (α) due to the torque, as follows:[tex]\tau = I * \alpha (1)[/tex]
By definition, the magnitude of the torque is given by the following expression:τ = F* r* sinθ (2)where F is the applied force, r is the distance to the center of rotation, and θ is the angle between the force and the position vector from the center of rotation to the line of action of the force.In this case, as the force is tangential to the edge, both vectors are perpendicular each other, so (2) becomes simply as follows:τ = F*r (3)Replacing in (1), we have:F*r = I*α (4)I is the total rotational inertia, that is composed by two terms, one is the rotational inertia of the disk, Idisk, which is given by the following expression:[tex]I_{disk} = m*\frac{r^{2} }{2} (5)[/tex]
The other component of I, is due to the four children.Assuming that we can treat them as point masses, the rotational inertia due to any of them is as follows:[tex]I_{child} = m_{child} * r^{2} (6)[/tex]
So, the rotational inertia will be (5) plus (6) times 4 (due to there are 4 children at the same distance r from the center of rotation), as follows:[tex]I_{t} = I_{disk} + 4* I_{child} (7)[/tex]
Replacing by the givens, we get:[tex]I_{t} = \frac{500kg*(2.00m)^{2}}{2} + (4* 27 kg* (2.00m)^{2}) = 1432 kg*m2 (8)[/tex]
Replacing by the values of I, r and α in (4), and solving for F, we get:[tex]F = \frac{I*\alpha }{r} = \frac{1432kg*m2*3.1 rad/sec2}{2.00m} = 2220 N (9)[/tex]
explain why chlorinated swimming pool water would be a homogeneous mixture
Answer:
A chlorinated swimming pool would be a homogenous mixture because chlorine and water diffuse through each other and cannot be separated out as distinct materials. It is impossible to separate the chlorine from water as they homogenously mix and cannot be separated into their pure forms.
Explanation:
