1) Calculate tension force in the string if the system accelerates up an inclined plane at 4m/s²

2) Calculate the magnitude of F if the system moves up the inclined plane at a constant velocity​

1) Calculate Tension Force In The String If The System Accelerates Up An Inclined Plane At 4m/s2) Calculate

Answers

Answer 1

1) As long as there is tension in the string connecting the two objects, they will both accelerate together with the same acceleration, 4 m/s². By Newton's second law,

• the net force on the 3-kg object acting parallel to the incline is

∑ F = F - T - f₃ - 3g sin(30°) = (3 kg) (4 m/s²)

• the net force on the 3-kg object perpendicular to the incline is

∑ F = n₃ - 3g cos(30°) = 0

• the net parallel force on the 6-kg object is

∑ F = T - f₆ - 6g sin(30°) = (6 kg) (4 m/s²)

• and the net perpendicular force on the 6-kg object is

∑ F = n₆ - 6g cos(30°) = 0

From the last two equations, it follows that

n₆ = 6g cos(30°) ≈ 50.9223 N

f₆ = 0.2 n₆ ≈ 10.1845 N

T - f₆ - 6g sin(30°) = 24 N   ⇒   T ≈ 63.5845 N ≈ 64 N

2) If the objects are pulled up the incline with constant velocity, then the acceleration of either object is zero. The free body diagrams stay the same, so we have the same equations using Newton's second law, the only difference is that each right side is zero.

The new tension in the string is then

T - f₆ - 6g sin(30°) = 0   ⇒   T ≈ 39.5845 N

From the second equation above, we find

n₃ = 3g cos(30°) ≈ 25.4611 N

f₃ = 0.1 n₃ ≈ 2.5461 N

Then in the first equation,

F - T - f₃ - 3g sin(30°) = 0   ⇒   F ≈ 56.8306 N ≈ 57 N

1) Calculate Tension Force In The String If The System Accelerates Up An Inclined Plane At 4m/s2) Calculate

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The term Young Modulus is used to describe the stress to strain of a material.  and is a measure of the strength of a material.

What is Young Modulus?

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Which 2 piece ls of data indicate that Jupiter resides in the outer region of the solar system?

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A skateboard chsnges velocity from 15 meters per second to 5 meters per second, over the course of 5 seconds. What is the skateboards acceleration?
A. -2 m/s^2
B. +2 m/s^2
C. +0.5 m/s^2
D. -0.5 m/s^2​

Answers

Option A) is correct.

We are given –

Initial velocity of skateboard is, u= 15m/sFinal velocity of skateboard is,v = 5 m/s Time taken, t = 5 secAcceleration, a =?

Formula To be used:-

[tex]\qquad[/tex] [tex]\star\: \: \pink{\boxed{\frak{ a = \dfrac{(v-u)}{t}}}}[/tex]

Where–

A = Acceleration v = Final velocity u = Initial velocity t = time

[tex]\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}[/tex]

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

[tex]\qquad[/tex][tex] \bf \longrightarrow a = \dfrac{v-u}{t}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{5-15}{t}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow a = \dfrac{-10}{5}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow a = \cancel{\dfrac{-10}{5}}[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf \longrightarrow a = -2 \:m/s^2}[/tex]

Henceforth, acceleration is -2 m/s².

Answer:

-2 m/s²

Explanation:

Here it's given that a skateboard changes its velocity from 15m/s to 5m/s in an interval of 5s . We are interested in finding out the acceleration of the skateboard. Firstly we know that,

The rate of change of velocity is called acceleration. Mathematically,

[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{v - u }{t} [/tex]

Here ,

initial velocity = 15m/s final velocity = 5m/stime = 5s

On substituting the respective values, we have;

[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{5m/s-15m/s}{5s}[/tex]

Simplify numerator,

[tex]\qquad\rm\twoheadrightarrow accl^n =\dfrac{-10m/s}{5s}[/tex]

Divide,

[tex]\qquad\rm\twoheadrightarrow \underline{\boxed{\blue{\rm acceleration= -2\ m/s^2}}} [/tex]

Therefore, Option A is correct choice.

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Answers

Answer:

Total capacitance of the three capacitors in series = 0.4615uF

Explanation:

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Answer:

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My answer would probably be I'd say D

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What is meant by light wave ?

Light waves are defined as the electromagnetic waves made of smaller, energy carrying particles called photons.

Here,

Light is an electromagnetic radiation that can have the properties of both waves and particles.

Light waves can travel in straight lines in the transparent medium like air, glass, still water, etc.

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Refraction is the phenomenon by which the the speed of the light decreases when light wave travels from a lighter medium to denser medium. The light wave will bend towards the normal line. Thus, during refraction, the direction of light wave changes.

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The direction of light wave changes when they are reflected or refracted. So, all the statements are true.

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Completely destroy

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Answer:

I hope it will help you have a great day bye and Mark brainlist if the answer is correct

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[tex] \\ [/tex]

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[tex] \bf\dag \frak{Solution}[/tex]

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Answer:

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Answers

Answer:

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Answers

Answer:

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Explanation:

hope its help

.....

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The answer is Option B

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Answers

Answer:

  15.8 N

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The horizontal component is ...

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A string exerts a force of 20 N on a box at an angle of 38° from the horizontal. What is the horizontal component of the force on the box?

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Answer

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_________

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Answers

Answer:

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I need help!!! :::///

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amazing that you learned a lot of great ideas on your summary business you well from to and as learned that they can do well with their lives for you in the past few they will be a child whose mass is the best thing) )for

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Explanation:

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Answer:

If the mass of one body is doubled, force is also doubled.

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