PHYSICS HIGH SCHOOL

Three friends tie three ropes in a knot and pull on the ropes in different directions. Adrienne (rope 1) exerts a 20-N force in the positive x-direction, and Jim (rope 2) exerts a 40-N force at an angle 53∘ above the negative x-axis. Luis (rope 3) exerts a force that balances the first two so that the knot does not move.a. Use equilibrium conditions to find F LonKx and F LonKy.
b. Use equilibrium conditions to determine the magnitude of F⃗ LonK.
c. Use equilibrium conditions to determine the angle θ that describes the direction of F⃗ LonK. Use positive values if the force is directed above the positive x-axis and negative values if it is directed below the positive x-axis.
d. Construct a force diagram for the knot.

Answers

Answer 1

Answer:

Answer:

Part a)

$F = 4 \hat i - 32\hat j$

Part b)

Magnitude of the force is given as

$F = 32.2 N$

Part c)

As we know that Y component of the force is negative so here the force is directed below the X axis

$\theta = -82.9 degree$

Explanation:

Part a)

Adrienne apply the force of 20 N along +X direction and Jim apply force of 40 N at 53 degree above negative X axis

so we will have

$F_1 = 20 \hat i$

$F_2 = 40cos53(-\hat i) + 40 sin53(\hat j)$

$F_2 = -24\hat i + 32\hat j$

now let say the force exerted by Luis is F such that sum of all forces must be zero

now we have

$F_1 + F_2 + F_3 = 0$

so we have

$20\hat i -24\hat i + 32\hat j + F = 0$

$-4\hat i + 32\hat j + F = 0$

$F = 4 \hat i - 32\hat j$

Part b)

Magnitude of the force is given as

$F = √(4^2 + 32^2)$

$F = 32.2 N$

Part c)

As we know that Y component of the force is negative so here the force is directed below the X axis

So here we have

$tan\theta = -(32)/(4)$

$\theta = -82.9 degree$

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Answers

When white light splits into the spectrum of colors of which it is composed, it is said to have undergone dispersion. Dispersion happens when white light gets separated into colors based on the wavelength of the light. Due to dispersion of light, people can see a rainbow in the sky. I hope the answer helps.

A machine has a mechanical advantage of 5. if 300 newtons of input force is used to produce 3,000 newton meters of work what is the output force and what is the distance over which the work is applied

Answers

F(in) x d(in)= F(out)x d(out)
A machine has a mechanical advantage of 5.
F(out )= 5xF(in)300 newtons

F(in) = 300 N
F(out)= 5xF(in) = 5x300 N
= 1500 N

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Answer:

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Explanation:

On edg.

A compound microscope that has an eyepiece lens with a magnification of 10X and an objective lens with a magnification of 25X will have a total magnification of __________ times.

Answers

Answer:

Explanation:

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TM = 10X x 25X

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Answers

Answer:

by drawing in their minds pictures of the events.

Explanation:

A surgeon for example can imagine the size, length, width that need to use or cut in a body if he/she can figure out tridimentional models, in this way if is going to connect a heart pump can imagine how is going to be.

An engineer, can imagine how is going to be a new building. He can visualize where to put some electric plug depending the needs and the capacity of the building.

In this way all the projects that they have in their minds can put together the different parts by a drawing in their heads.

Answer:

by drwaing in their minds pictures of the events

Explanation:

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Answers

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Explanation :

Given that,

Velocity of the car, v = 20 m/s

Kinetic energy of the car, $E_k=1.8* 10^5\ J$