Rope A is tied to block 1, and rope B is attached to both block 1 and block 2 as shown in the diagram. Block 1 has a mass of 4.2 kg and block 2 has a mass of 2.6 kg. You lift both blocks straight up. Calculate the magnitude of tension in each of the ropes when the blocks

Move at constant velocity of 1.5 m/s [up]
Find the magnitude of tension in each rope when the blocks are accelerating at 1.2 m/s^2 [up].
The maximum tension the strings can withstand is 90. N. Knowing this, determine the maximum acceleration of the blocks that would not break the rope.

Answers

Answer 1

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


Related Questions

PLz help--- What's happening here?
This object is not moving
This object is not changing speeds.
This object is changing speeds; it's getting faster.
This object is changing speeds; it's getting slower.

Answers

Answer:

getting faster

Explanation:

the curve gets more steeper, and steeper line shows more distance for less time, meaning faster.

Lab report: Newton's Second Law

Answers

Answer:

Newton found the acceleration of a body to increase with force and decreases with mass

fore example : a equal force applied on two different things that one of thing is have 100kg and another have70kg but the acceleration is different because the bigger one accelerate slower than the smaller because

[tex]f = ma[/tex]

If Earth's mass doubled, your weight would..
a. increase
b. decrease
c. stay the same

Answers

Answer:

a. increase

Explanation:

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

1 point
What is the potential energy of a bird flying, if the bird has 1000 J of total
energy and 450 J of kinetic energy? (only put the number, no units or
commas)

Answers

Answer:

the bird has 550J of potential energy

Explanation:

PEtotal=PE+KE

1000J=PE+450J

subtracting the kinetic energy from the total we get:

1000J-450J=PE

550J=PE

Kiley went 5.7 km/h north and then went 5.8 km/h west. From start to finish, she went 8.1 km/h northwest.

Which best describes her numbers?

Answers

Answer:

5.7km/h north and 5.8km/h west are instantaneous speeds, while 8.1km/h Northwest is the average speed.

A satellite is orbiting Earth at a speed of approximately 4,000 m/s. Which of these distances is most likely the orbital radius of the satellite’s motion?

Answers

The radius of the satellite's motion is 2.49 × 10⁷ m

Since the centripetal force, F = mv²/r equals the gravitational force, F' = GMm/r² on the satellite,

F = F'

mv²/r = GMm/r²

v² = GM/r

Making r subject of the formula, we have

r = GM/v² where r = radius of satellite's motion, G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², M = mass of earth = 5.972 × 10²⁴ kg and v = speed of satellite = 4,000 m/s.

Substituting the values of the variables into the equation, we have

r = GM/v²

r = 6.67 × 10⁻¹¹ Nm²/kg² × 5.972 × 10²⁴ kg/(4,000 m/s)²

r = 39.83324 × 10¹³ Nm²/kg ÷ 16 × 10⁶ m²/s²

r = 2.4895775 × 10⁷ m

r ≅ 2.49 × 10⁷ m

So, the radius of the satellite's motion is 2.49 × 10⁷ m.

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Answer:

25.0 million meters

Explanation:

what is the relationship between area, force, and pressure?

Answers

Answer: Pressure is proportional to force and inversely proportional to area.

Explanation:

Nick is so excited to Trick-or-Treat, he RUNS down the street to the house that has the BIG candy bars! He ran 203 meters. It took him 40 seconds to arrive at the "big candy bar" house. What was his average speed?

Help- I don't know how to answer this science question (yes, it's science/physics. )

Answers

Answer:

it would take him 1 minute to run 304.5 meters and 1 second to run 5.075 meters

Explanation:

I'LL MARK YOU BRAINLIST ......By referring to the graph shown below, the acceleration from t = 0 s to t = 25 s is:
positive
negative
zero
increasing

Answers

Answer:

When an object is speeding up, the acceleration is in the same direction as the velocity. Thus, this object has a positive acceleration. In Example B, the object is moving in the negative direction (i.e., has a negative velocity) and is slowing down.

Explanation:

Answer:

It’s zero.

Explanation:

It’s a straight line so its at a rest.

explain why the moon orbits the earth while the earth orbits the sun

Answers

As the Earth rotates, it also moves, or revolves, around the Sun. ... As the Earth orbits the Sun, the Moon orbits the Earth. The Moon's orbit lasts 27 1/2 days, but because the Earth keeps moving, it takes the Moon two extra days, 29 1/2, to come back to the same place in our sky .hope it help

The tail of a comet always points Select one: a. in the direction of the comet's motion. b. away from the Sun and becomes longest and brightest at perihelion. c. toward the Sun and disappears at perihelion. d. away from the Sun and disappears at perihelion. e. toward Earth and never varies.

Answers

C toward the sun and disappears at perihelion

help me out plssssssssssss

Answers

Answer:

1.b

2.c

have a good day bro

Potassium chlorate gives Potassium chloride+Oxygen

Find the Balancing Chemical Equation for the above ​

Answers

Answer:

The balanced equation is given as: $ 2KCl{O_3} \to 2KCl + 3{O_2} $.

A car begins at rest at a stoplight. After the light turn green, the car begins to accelerate 5 m/s2 over the span of 3.6 seconds. What is the car’s displacement over this period of time?

Hint you can use this equation Xf = Xi + vi · t + 1/2 · a · t2

Answers

Answer:

d=9m

Explanation:

If I travel 100 kilometer in one hour then I have a speed of?​

Answers

Answer:

100 km /hour

Explanation:

/ or per = every once so every hour you are traveling 100 kilometera

Answer:

100kmh-1

Explanation:

100km÷1hour

100kmh-1

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?.

Answers

Answer:

25A°C=2L

35A°C=? More

=35/25×2L

=7/5×2L

=14L/5

=2.8L

17. [06.05]
What particles are involved in nuclear reactions, but not in chemical reactions? (1 point)
Neutrons and protons
Neutrons and electrons
Protons and electrons
Electrons only

Answers

Answer:

What particles are involved in nuclear reactions, but not in chemical reactions? (1 point)

Ans Option A Neutrons and protons

this painting represents the milky way galaxy as it would appear edge-on from a distance. label the indicated features; be sure to pay attention to where the leader lines are pointing.

Answers

The galaxy is known to contain stars of different ages. The indicated features as it points  from left to right are;

globular clusters bulge halo

Bottom row

Both are disks

The Milky Way Milky exist because  our Sun (a star) and all the planets close to it are part of a galaxy called the Milky Way Galaxy.

A galaxy is known to be a large group of stars, gas, and dust bound together by the force of gravity.

Our galaxy is called by the name the Milky Way because it is usually seen or it appears as a milky band of light in the sky when you view it in a really dark area.

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Mjchddjnfndndnddnndnddn

Answers

Answer:b

Explanation:

a cork floating in a beaker of water is attached to a spring, and the spring is attached to the bottom of the beaker. the spring pulls the cork farther below the water than it would be if it were just floating. what happens when we drop the beaker off a tall building?

Answers

Answer:

If we drop the beaker, due to inertia, the Cork will move upwards.

Option B is correct.

Explanation:

When we drop the beaker off a tall building, the cork attached to the spring moves in an upward direction.

What is spring force?

Spring can be defined as a tool used for many purposes and its inertia is neglected by considering it is massless.  When a spring is strained, undergoes displacement when it is compacted spring gets compressed but it can freely come to its equilibrium position.

Spring exerts an equal and an opposite force on a body that stretches or compresses it.

The Spring force formula can be written as:

F = k(x – x₀)

Where the spring force is F, xo is the equilibrium position, x is the displacement of the spring from the equilibrium position and the spring constant is k.

The negative sign shows that the spring force is a restoring force that acts in the opposite direction.

Therefore, the cork attached to the spring moves up when we drop the beaker off a tall building.

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Which type of wave requires a medium?
A. Light wave
B. Electromagnetic wave
C. Sound wave
D. Ultraviolet wave

Answers

The correct answer is option C. Sound wave

A sound wave is an example of a mechanical wave which requires a medium.

Answer:

The closest is “A”, however an ocean wave is not truly a transverse wave. It belongs to the category “gravity wave” (note: NOT gravitational wave as in cosmology) and occur at the interface between two media. In the case of a wave on the ocean surface it is specifically called a “surface gravity wave” . The particles in a surface gravity wave move in an oscillatory circular motion called the wave orbit not in a back and forth motion.

what is the medium for the sound waves for whales to communicate with each other?

Answers

Answer:

SONGS CLICKS AND WHISTLE

Explanation:

You exert a force of 200 N on a lever over a distance of 4.6 m. You ultimately lift an 11 kg load 2.3 m off the ground. What is the efficiency of this lever?

Answers

Answer:

56142e3456834567856783446357

Explanation:

4535x346326432x5636432784372=3853785

If the resistor is connected in series, the voltage across the wire changes. (true or false)

Answers

true, Resistors connected in series always have equivalent resistance greater than any individual resistor. brainlessly please
Resistors in Series carry the same current, but the voltage drop across them is not the same as their individual resistance values will create different voltage drops across each resistor as determined by Ohm's Law ( V = I*R ).

A crate of mass 50kg is pulled up a rough inclined plane, inclined at an angle of 60° to the horizontal. Determine the total work done in moving the crate to the top of the inclined 200m high.​

Answers

Answer:

Wc = m*g = 50kg * 9.8N/kg = 490 N = Wt.

of crate.

Fc = 490N  60o = Force of crate.

Fp = 490*sin60 = 424.4 N. = Force

parallel to incline.

Fv = 490*cos60 = 245 N. = Force perpendicular to the incline.

Ff = u*Fv = u*245 = Force of friction.

Fap-Fp-Ff = m*a

Fap-424.4-u*245 = m*0 = 0

Fap = 424.4 + 245u. = Force applied.

L = 200m/sin60 = 231 m. = Length of

incline.

Work = Fap * L=(424.4+245u) * 231.

Explanation:

the following statements show contact force, except _____
a. closing your room's door
b. pushing your desk
c. shooting a ball on the floor using a rope
d. pulling a 10kg box on the floor using a rope​

Answers

Answer:

d. pulling a 10kg box on the floor using a rope

You and your friend are pushing a box at the same constant speed. You pushed 20 feet in 10 minutes, your friend was pushing for 5 minutes. What distance must she travel so the two of you can travel at the same speed?

Answers

Answer:

60 N.C

Explanation:

The box will move in the direction of the push and pull with a force of 60 N. C.

If you and your friend are pushing a box at the same constant speed. You pushed 20 feet in 10 minutes, your friend was pushing for 5 minutes. , then the distance must she travel so the two of you can travel at the same speed would be 30 feet.

What is speed?

The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.

As given in the problem If you and your friend are pushing a box at the same constant speed. You pushed 20 feet in 10 minutes, your friend was pushing for 5 minutes.

The distance traveled by box = 20 + 10

                                                 = 30 feets

                             

Thus, the distance must she travel so the two of you can travel at the same speed would be 30 feet.

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Describe what introspection is.

Answers

Answer:

Introspection is a process that involves looking inward to examine one's own thoughts and emotions. ... The experimental use of introspection is similar to what you might do when you analyze your own thoughts and feelings but in a much more structured and rigorous way.

Explanation:

Example of it: The definition of introspection is self-examination, analyzing yourself, looking at your own personality and actions, and considering your own motivations. An example of introspection is when you meditate to try to understand your feelings. noun.

Answer:   Introspection is when you examine your own thoughts, feelings, and emotions. A spiritual idea of introspection is like examining your soul while a pyschological way would be examining your mental state.

Explanation:  tried my best

Entomology is the application of__________ to be used in a criminal investigation??
A/ soil science
B/insect science
C/plant science
D/glass science

Answers

B insect science. Like several of the other fields that are categorized within zoology, entomology is a taxon-based category; any form of scientific study in which there is a focus on insect-related inquiries is, by definition, entomology.

exoplanets are difficult to detect because they are:

Answers

Explanation:

Exoplanets are very hard to see directly with telescopes. They are hidden by the bright glare of the stars they orbit. So, astronomers use other ways to detect and study these distant planets.

Exoplanets are difficult to detect because they are a star 'wobbles' as it orbits the center of mass, changing the wavelength of light it emits.

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