Hi there!
Part 1:
If the blocks are moving at a constant velocity:
∑F = 0
Begin by summing the forces acting on each block. Let the upward direction be positive.
∑F₁ = Ta - M₁g - Tb
∑F₂ = Tb - M₂g
Sum the forces:
∑F = Ta - M₁g - Tb + Tb - M₂g
∑F = Ta - M₁g - M₂g = 0
Solve for Tension A:
Ta = M₁g + M₂g (Let g = 9.8 m/s²)
Ta = 4.2(9.8) + 2.6(9.8) = 66.64 N
Now, solve for tension B using the summation of ∑F₁:
0 = Tb - M₂g
Tb = (2.6* 9.8) = 25.48 N
Part 2:
We can use the same method, but incorporate the acceleration:
∑F = Ta - M₁g - M₂g
(M₁ + M₂)a = Ta - M₁g - M₂g
(M₁ + M₂)a + M₁g + M₂g = Ta
(4.2 + 2.6)(1.2) + 4.2(9.8) + 2.6(9.8) = 74.8 N
∑F₂ = Tb - M₂g
M₂a + M₂g = Tb = 28.6 N
Part 3:
Since the top string experiences most of the tension, we can use its equation to calculate the maximum acceleration:
∑F = Ta - M₁g - M₂g
(M₁ + M₂)a = Ta - M₁g - M₂g
a = (90 - M₁g - M₂g)/(M₁ + M₂)
a = 3.435 m/s²
A balloon with a volume of 2. 0 L at 25°C is placed in a hot room at 35°C. The pressure on the balloon is constant at 1. 0 atm. How does the volume of the balloon change after moving it to the hot room?.
Answer:
25A°C=2L
35A°C=? More
=35/25×2L
=7/5×2L
=14L/5
=2.8L
A box of mass 6.0 kg is accelerated from rest
across a floor at a rate of 6.0 m/s² for 9.0 s.
Find the network done on the box
[tex]\text{Given that },\\\text{Mass, m = 6 kg}\\\\\text{Acceleration, a = 6 } \text{m} \text{s}^{-2}\\\\\text{Time, t=9 sec}\\\\\text{Displacement, }s=ut + \dfrac 12 at^2 = \dfrac 12 at^2 = \dfrac 12 \times 6 \times 9^2 = 243 ~m}\\\\\ \text{Work,} ~W = Fs = mas = 6 \times 6 \times 243 = 8748 ~ J}[/tex]
Hi there!
We know that:
[tex]W = \Delta KE = \frac{1}{2}m(\Delta v)^2[/tex]
We can begin by solving for the final velocity using the equation:
[tex]v_f = v_i + at[/tex]
The box starts from rest, so:
[tex]v_f = at\\\\v_f = 6(9) = 54 m/s[/tex]
Now, we can find the kinetic energy:
[tex]KE = \frac{1}{2}mv^2\\\\KE = \frac{1}{2}(6)(54^2) = 8748 J[/tex]
Thus:
[tex]W = \Delta KE\\\boxed{W = 8748 J}[/tex]
A boy standing on a bridge 150m above the canyon floor throws a stone downward with a speed of 20.0m/s.
A) with what velocity will it hit the ground?
B) How long will it take to descend?
Answer:
57.97m/s
12.1s
Explanation:
Use one of the key equations of accelerated motion and sub in the values
vf^2=vi^2+2aΔd
vf^2=(20)^2+(2*9.8)(150)
vf^2 = 3340
vf = 57.79m/s (square rooted both sides)
now use another equation
Δd = (vi+vf/2)Δt
and rearrange for Δt
Δt = (2Δd-vf)/vi
sub in values
Δt = (2*150-57.79)/20
Δt = 12.1s
mark me as brainliest if this helped!
is the amplitude just 2? Or do I combine all of them and do 6?
Answer:
combine them all
6 m
Explanation:
A ball is launched from a slingshot. As the ball travels along its trajectory, what force(s) are acting on it? Select all that apply.
Group of answer choices
Force of air and gravitational force are acting on the ball when launched from the slingshot.
When a ball is launched from a slingshot, during its travel force of air as well as gravitational force are acting on the ball because there is air which moves opposite to the motion of a ball whereas the force of gravity attracts the ball downward.
The force of air slows down the motion of the ball while on the other hand, the force of gravity brings the ball to the ground due to attraction. If these two forces are not present then the ball continues its motion forever so we can conclude that force of air and force of gravity are acting on the ball when launched from the slingshot.
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Using public transports.
Turn off the lights when not in use
Recycle and Reuse
No to plastic bags
Reduction of forest fires and smoking
Use of fans instead of Air Conditioner
Use filters for chimneys
Avoid usage of crackers
how do I put this in a paragraph.
A plane flying above the ground has 60,000 joules of kinetic energy and 6,000 joules off gravitational potential energy. How much mechanical energy does the plane have?
Answer:
66,000J
Explanation:
Mechanical energy = Gravitational energy + Kinetic Energy
ME = 6,000 + 60,000 = 66000 J
Name some devices we use to make measurements
Answer:
Explanation:
Ruler. A steel ruler aids the measurement and layout of straight lines. The ruler, also called "straightedge" or "straight-edged ruler," is a long, thin strip of wood, metal or plastic marked with increments of measurement.
Measuring Tape. The modern measuring tape's roughly palm-sized casing contains a coiled strip of metal marked with increments of measurement. The metal strip, called "tape," attaches to a spring which automatically retracts the tape into the casing following use.
Walking Tape Measure. The walking tape measure, also called "surveyor's measure," records the distance traveled by a wheel. An operator pushes the measure's wheel, similar to a bicycle wheel, by a handle as an attached ticker box displays feet or meters in the same format as a car's odometer.
Laser Measure. The laser measure offers point and shoot distance measurement. In its most basic form, a laser measure is a hand-held electronic device with a digital display.
please solve due is today....asap please
Answer:
a)object is in uniform motion
Explanation:
velocity is constant.and a=0
body is in uniform motion.
BRAINLIST PLS
A photograph is 25 cm wide and 20 am hide. It might be reduced to fit a space that is 8 cm high. Find the wridth of reduced photographed.
Answer:
10cm
Explanation:
25/20=x/8
cross multiply;
200=20x
x=10
A 10 kg box is motionless on the floor. If the coefficient of static friction is 0.4 and the coefficient of kinetic friction is 0.3 (between the box and the floor), find the force required to start the block in motion
Please I need help ❤️
The force required to start the block in motion is equal to 39.2 Newton.
Given the following data:
Mass of box = 10 kgCoefficient of static friction = 0.4 Coefficient of kinetic friction = 0.3To determine the force required to start the block in motion:
Note: The force that is required to start the block in motion must be greater than or equal to the force of static friction.
Mathematically, the force of static friction is given by the formula;
[tex]Fs = uFn = umg[/tex]
Where;
Fs represents the force of static friction.μ represents the coefficient of friction.[tex]F_n[/tex] represents the normal force.g is the acceleration due to gravity.m is the mass of an object.Substituting the given parameters into the formula, we have;
[tex]F_s = 0.4 \times 10 \times 9.8\\\\F_s = 4 \times 9.8\\\\F_s = 39.2\;Newton[/tex]
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Lloyd is standing on a scaffolding 12 meters above the ground to clean the windows of a tall building. His bucket, which has a mass of 0.5 kilograms, falls off the edge of the scaffolding. Calculate the bucket’s kinetic and potential energy when it is 4 meters above the ground. Also calculate its velocity at this point.
Answer:
.............................
a spherical conductor of radius 10cm contains 10 mui c charge calculate the surfacecharge density
(a) Since the charge at any point inside sphere is zero.
by Gauss law,E=0.
(b) Just outside, E=q/4πϵ o r 2 so, E=10 5 NC −1
(c) q=1.6×10 −7 C r=18 cm E=q/4πϵ o r 2 E=4.4×10 4 NC −1
Josh and jake are both helping to build a brick wall which is 6 meters in height. They each lay 250 bricks, but josh finishes this task in 3 hours while jake requires 4.5 hours to complete his part. Who does more work, or do they both do the same amounth? Who has more power? Explain.
A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. In the one minute of rotation, through how many revolutions did the fan turn?.
Hi there!
We can first find the angular displacement of the first 20 seconds by finding the angular acceleration.
Begin by converting 120 rev/min to rev/sec:
120 rev/min × 1 min/60 sec = 2 rev/sec
ω = αt
2 = 20α
α = 0.1 rev/sec²
θ = ωit + 1/2αt²
The fan starts from rest, so:
θ = 1/2αt²
θ = 1/2(0.1)(20²) = 20 revolutions
Now, for the next 40 seconds, we can find the fan's deceleration:
ωf = ωi + αt
0 = 2 + αt
-2 = 40α
α = -0.05 rad/sec²
Use the above equation:
θ = ωit + 1/2αt²
θ = 2(40) + 1/2(-0.05)(40²) = 80 - 40 = 40 rev
θ = 4800 - 2400 = 2400 revolutions
Add the two:
θtotal = 20 + 40 = 60 revolutions
What torque will increase angular velocity of a solid cylinder of mass 16 kg and diameter 1 m from zero to 120 rpm in 8 s?
a)π/4Nm
b)π/2Nm
c)π/3Nm
d)πNm
How can you find a springs constant for the F=-Kx formula?
Answer:
As per the Hooke's Law, if spring is stretched, the force exerted is proportional to the increase in length from the equilibrium length. The formula to calculate the spring constant is as follows: k= -F/x, where k is the spring constant. F is the force and x is the change in spring's length.
A 4.6 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.8 m/s 2 . If the upward acceleration of the bucket is 3 m/s 2 , find the force exerted by the rope on the bucket. Use g
Hi there!
If we sum the forces acting on the bucket:
∑F = T (upward) - Mg (downward)
Thus:
ma = T - mg
We can rearrange for T:
ma + mg = T
Plug in the given values:
4.6(3 + 9.8) = T = 58.88 N
Select the correct answer.
When rocks containing copper are oxidized, they tend to turn from red to green. Based on this information, what evidence
would best support the theory that oxidation could not have occurred in Earth's early atmosphere?
Rocks from early Earth that contained copper are green in color.
There are no copper-containing rocks from early Earth.
Rocks from early Earth that contained copper are red in color.
All copper minerals were converted to iron minerals.
Answer:
Rocks from early Earth that contained copper are red in color
Explanation:
"Copper, a red mineral, reacts with oxygen to form a green-colored compound. In early years, rocks containing copper were red. This fact shows that there was no oxygen in the early atmosphere to oxidize red copper into the green-colored compound."
in an rfid system, where would the unique data identifying an item typically be found?
In a radio frequency identification (RFID) system, the unique data identifying an item are typically found in: tags.
What is an RFID system?
RFID is an acronym for radio frequency identification.
A RFID system can be defined as an automatic, wireless, identification technology (device) that is typically designed to allow end users store and retrieve information, especially through the use of an electromagnetic field.
The operational benefits of an RFID system:
Generally, a radio frequency identification (RFID) system is used for the following:
1. To identify an item or individual.
2. To trace and tracking an item or individual.
3. To track an item or individual.
The components of an RFID system:
An RFID system is a wireless, identification technology (device) that comprises two (2) main components and these are:
ReadersTagsTags refer to small objects containing an antenna and a chip (smart barcodes) that are used to automatically identify an item or individual they are embedded in or attached to.
In conclusion, the unique data that are used in identifying an item are typically found in tags.
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Consider the schematic of the molecule shown, with two hydrogen atoms, H, bonded to an oxygen atom, O. The angle between the two bonds is 106°. If the bond length r = 0.103 nm long, locate the center of mass of the molecule. The mass mH of the hydrogen atom is 1.008 u, and the mass mO of the oxygen atom is 15.9999 u. (Use a coordinate system centered in the oxygen atom, with the x-axis to the right and the y-axis upward. Give the coordinates of the center of mass in nm.)
The definition of the center of mass allows to find the result for the position of the mass center of more than the H₂O molecule is;
[tex]x_{cm} = 0 \ and \ y_{cm} = 6.9 10^{-3 } nm[/tex]
the concept of center of mass of a system is the point where external forces are applied, it is given by the expression
[tex]\frac{x}{y} =\frac{1}{M_{total}} \sum m_i r_i[/tex]
Where M is the total mass of the systemr_i and m_i sums the position and masses of the element i of the system
In the attachment we have a diagram of the system where the axis and coordinates of the molecules are shown, in this case it is indicated that the origin is in the oxygen atom, so its distance is zero.
[tex]r_{cm} = \frac{1}{2 m + M} \ (2 m r )[/tex] )
They indicate the mass of the hydrogen atom m = 1.008 amu, the bond length r = 0.103 nm and there is an angle 106º between the two hydrogens, therefore the angle from the vertical is:
θ = 106/2 = 53º
Let's find the position of the center of mass for each axis.
x-axis
[tex]x_{cm} = \frac{1}{2m+ M} \ ( m x_1 - m x_2)[/tex]
y-axis
[tex]y_{cm} = \frac{1}{2m + M} \ ( m y_1 + m_2)[/tex]
Let's use trigonometry to find the components of the bond length.
cos θ = [tex]\frac{y}{L}[/tex]
sin θ = [tex]\frac{x}{L}[/tex]
y = L cos θ
x = L sin θ
We substitute.
[tex]x_{cm} = \frac{1}{2m+M} \ (mL (sin 53 + sin (-53)) \\y_{cm} = \frac{1}{2m + M} \ ( mL cos 53 + mL sin 53)[/tex]
we use.
sin θ = - sin -θ
cos θ = cos -θ
Let's calculate.
[tex]x_{cm} = 0 \\y_{cm} = \frac{1}{2 \ 1.008 + 15.9999} \ ( 2 \ 1.008 \ 0.103 cos 53)[/tex]
We see that the center of mass is on the x axis and at a distance from the y-axis of 6.9 10-3 nm
In conclusion using the definition of the center of mass we can find the result for the position of the center of mass of the H₂O molecule is;
[tex]x_{cm}=0[/tex] and [tex]y_{cm}[/tex]cm = 6.9 10⁻³ nm
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what is the relationship between area, force, and pressure?
Answer: Pressure is proportional to force and inversely proportional to area.
Explanation:
Please slove this i need answer fast
Answer:
I am not quite sure....
Explanation:
Explanation:
basically i, say the answer is w
If the velocity is 50 and the time is 5 seconds what is the acceleration?
Just divide the both, you will get the answer!
does it sound rude?
im sorry for that!
Answer:
10
Explanation:
The drone can fly for 25 minutes before the battery needs recharging. the power output of the battery is 65.0 watts. calculate the maximum energy stored by the battery
help please!! needed asap!!
Answer:
stored Energy = Power x time = 65 x 25x 60 = 105.6 Kjoules
What is the best reason astronomers have come up with to explain why sunspots are cooler and look darker
Answer:
Sunspots are places where the strong magnetic fields in the Sun resist the upward motion of bubbling hot gases from underneath
Explanation:
please help me solve this and give an explanation
Answer:
6.5
Explanation:
Because 1.5+5=6.5
a person would weigh less on Mercury than on planet blank because blank
Answer:
Earth because of greater gravity
A 12 N force is used to extend a spring with a spring constant of 84 N/m. Calculate the extension of the spring.
Answer:
72n
Explanation:
PLEASE PLEASE PLEASE HELP ME!!!
Answer: Levers
Explanation: Levers lifte
the machines arm